Has accurate standard errors

1 Set up

1.1 1) Load packages

1.2 2) Import data

1.3 3) Data Wrangling

1.4 4) Depth Wrangling

1.5 5) Theme James

1.6 Comments

2 Biological Graphs

2.1 B-Glucosidase

2.1.1 0-5 cm P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value  Pr(>F)  
## landuse        406.69  203.34     2 19.197  1.4314 0.26336  
## precip         762.23  762.23     1 29.735  5.3656 0.02762 *
## landuse:precip  55.90   27.95     2 19.197  0.1967 0.82304  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        2919.0 1459.50     2    27 29.2361 1.753e-07 ***
## precip         2990.0 1495.00     2    27 29.9472 1.403e-07 ***
## landuse:precip 1979.9  494.98     4    27  9.9152 4.539e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean   SE   df lower.CL upper.CL
##  472      18.8 2.04 13.5     14.4     23.2
##  579      40.2 2.04 13.5     35.8     44.5
##  850      23.9 2.04 13.5     19.5     28.3
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean   SE   df lower.CL upper.CL .group
##  579      40.2 2.04 13.5     35.8     44.5  a    
##  850      23.9 2.04 13.5     19.5     28.3   b   
##  472      18.8 2.04 13.5     14.4     23.2   b   
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean       SE   df lower.CL upper.CL .group
## 1    579 40.15929 2.039632 13.5 35.76946 44.54911     a 
## 3    850 23.88515 2.039632 13.5 19.49532 28.27497      b
## 2    472 18.78914 2.039632 13.5 14.39932 23.17897      b

2.1.2 5-10 cm

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF F value Pr(>F)
## landuse        132.975  66.488     2 11.647  1.6235 0.2388
## precip          62.711  62.711     1 29.377  1.5313 0.2257
## landuse:precip 125.403  62.701     2 10.936  1.5311 0.2593

2.1.3 10-15 cm L+P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value   Pr(>F)   
## landuse        77.959  38.980     2 21.012  4.9186 0.017694 * 
## precip         85.348  85.348     1 28.016 10.7696 0.002765 **
## landuse:precip 34.545  17.272     2 21.012  2.1795 0.137998   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        165.906  82.953     2    27 13.9815 6.799e-05 ***
## precip         214.256 107.128     2    27 18.0562 1.052e-05 ***
## landuse:precip  88.463  22.116     4    27  3.7275   0.01534 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean    SE   df lower.CL upper.CL
##  AG        8.65 0.703 24.3     7.20     10.1
##  EA        9.13 0.703 24.3     7.68     10.6
##  NP       13.42 0.703 24.3    11.97     14.9
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean    SE   df lower.CL upper.CL .group
##  NP       13.42 0.703 24.3    11.97     14.9  a    
##  EA        9.13 0.703 24.3     7.68     10.6   b   
##  AG        8.65 0.703 24.3     7.20     10.1   b   
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse    lsmean        SE   df  lower.CL upper.CL .group
## 1      NP 13.424425 0.7031503 24.3 11.974142 14.87471     a 
## 2      EA  9.125530 0.7031503 24.3  7.675246 10.57581      b
## 3      AG  8.652411 0.7031503 24.3  7.202128 10.10269      b

## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        165.906  82.953     2    27 13.9815 6.799e-05 ***
## precip         214.256 107.128     2    27 18.0562 1.052e-05 ***
## landuse:precip  88.463  22.116     4    27  3.7275   0.01534 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean    SE   df lower.CL upper.CL
##  472      8.22 0.703 13.5     6.71     9.73
##  579     13.81 0.703 13.5    12.29    15.32
##  850      9.17 0.703 13.5     7.66    10.69
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean    SE   df lower.CL upper.CL .group
##  579     13.81 0.703 13.5    12.29    15.32  a    
##  850      9.17 0.703 13.5     7.66    10.69   b   
##  472      8.22 0.703 13.5     6.71     9.73   b   
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip    lsmean        SE   df  lower.CL  upper.CL .group
## 1    579 13.806733 0.7031503 13.5 12.293368 15.320097     a 
## 3    850  9.174260 0.7031503 13.5  7.660896 10.687625      b
## 2    472  8.221373 0.7031503 13.5  6.708009  9.734738      b

2.2 Glucosaminidase

2.2.1 0-5 cm L*P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value  Pr(>F)  
## landuse         0.174   0.087     2 21.216  0.0105 0.98958  
## precip         48.786  48.786     1 29.692  5.8617 0.02180 *
## landuse:precip 66.237  33.118     2 21.216  3.9793 0.03408 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        1021.33  510.66     2 19.493 67.2371 1.786e-09 ***
## precip           61.41   30.71     2  6.888  4.0429   0.06895 .  
## landuse:precip   96.68   24.17     4 19.493  3.1823   0.03617 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean   SE   df lower.CL upper.CL
##  472      12.0 1.28 7.59     9.07     15.0
##  579      13.3 1.28 7.59    10.35     16.3
##  850      10.1 1.28 7.59     7.15     13.1
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean   SE   df lower.CL upper.CL .group
##  579      13.3 1.28 7.59    10.35     16.3  a    
##  472      12.0 1.28 7.59     9.07     15.0  ab   
##  850      10.1 1.28 7.59     7.15     13.1   b   
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean      SE       df  lower.CL upper.CL .group
## 3    579 13.31379 1.27514 7.586872 10.345208 16.28237     a 
## 1    472 12.04215 1.27514 7.586872  9.073567 15.01073     ab
## 2    850 10.12164 1.27514 7.586872  7.153057 13.09022      b

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value  Pr(>F)  
## landuse         0.174   0.087     2 21.216  0.0105 0.98958  
## precip         48.786  48.786     1 29.692  5.8617 0.02180 *
## landuse:precip 66.237  33.118     2 21.216  3.9793 0.03408 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        1021.33  510.66     2 19.493 67.2371 1.786e-09 ***
## precip           61.41   30.71     2  6.888  4.0429   0.06895 .  
## landuse:precip   96.68   24.17     4 19.493  3.1823   0.03617 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean  SE   df lower.CL upper.CL
##  AG        8.53 1.7 18.7     4.97    12.10
##  EA       11.22 1.7 18.7     7.66    14.78
##  NP       16.37 1.7 18.7    12.81    19.94
## 
## precip = 579:
##  landuse lsmean  SE   df lower.CL upper.CL
##  AG        5.69 1.7 18.7     2.13     9.26
##  EA       14.10 1.7 18.7    10.53    17.66
##  NP       20.15 1.7 18.7    16.59    23.71
## 
## precip = 850:
##  landuse lsmean  SE   df lower.CL upper.CL
##  AG        2.11 1.7 18.7    -1.45     5.67
##  EA        9.33 1.7 18.7     5.77    12.89
##  NP       18.92 1.7 18.7    15.36    22.49
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean  SE   df lower.CL upper.CL .group
##  NP       16.37 1.7 18.7    12.81    19.94  a    
##  EA       11.22 1.7 18.7     7.66    14.78   b   
##  AG        8.53 1.7 18.7     4.97    12.10   b   
## 
## precip = 579:
##  landuse lsmean  SE   df lower.CL upper.CL .group
##  NP       20.15 1.7 18.7    16.59    23.71  a    
##  EA       14.10 1.7 18.7    10.53    17.66   b   
##  AG        5.69 1.7 18.7     2.13     9.26    c  
## 
## precip = 850:
##  landuse lsmean  SE   df lower.CL upper.CL .group
##  NP       18.92 1.7 18.7    15.36    22.49  a    
##  EA        9.33 1.7 18.7     5.77    12.89   b   
##  AG        2.11 1.7 18.7    -1.45     5.67    c  
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip    lsmean       SE       df  lower.CL  upper.CL .group
## 1      NP    472 16.374757 1.700531 18.68356 12.811419 19.938094     a 
## 2      EA    472 11.218369 1.700531 18.68356  7.655032 14.781707      b
## 3      AG    472  8.533324 1.700531 18.68356  4.969986 12.096662      b
## 4      NP    579 20.151593 1.700531 18.68356 16.588256 23.714931    a  
## 5      EA    579 14.095959 1.700531 18.68356 10.532622 17.659297     b 
## 6      AG    579  5.693820 1.700531 18.68356  2.130482  9.257157      c
## 7      NP    850 18.924386 1.700531 18.68356 15.361048 22.487724    a  
## 8      EA    850  9.331009 1.700531 18.68356  5.767671 12.894346     b 
## 9      AG    850  2.109527 1.700531 18.68356 -1.453810  5.672865      c
##   precip landuse    lsmean       SE       df  lower.CL  upper.CL .group
## 1    472      AG  8.533324 1.700531 18.68356  4.969986 12.096662      b
## 2    472      EA 11.218369 1.700531 18.68356  7.655032 14.781707      b
## 3    472      NP 16.374757 1.700531 18.68356 12.811419 19.938094     a 
## 4    579      AG  5.693820 1.700531 18.68356  2.130482  9.257157      c
## 5    579      EA 14.095959 1.700531 18.68356 10.532622 17.659297     b 
## 6    579      NP 20.151593 1.700531 18.68356 16.588256 23.714931    a  
## 7    850      AG  2.109527 1.700531 18.68356 -1.453810  5.672865      c
## 8    850      EA  9.331009 1.700531 18.68356  5.767671 12.894346     b 
## 9    850      NP 18.924386 1.700531 18.68356 15.361048 22.487724    a  
##    location n      mean        sd        se
## 1   Tribune 4  8.533324 1.1134007 0.5567003
## 2   Tribune 4 11.218369 8.0425920 4.0212960
## 3   Tribune 4 16.374757 2.7158067 1.3579033
## 4      Hays 4  5.693820 1.3139135 0.6569568
## 5      Hays 4 14.095959 3.6548244 1.8274122
## 6      Hays 4 20.151594 0.8800684 0.4400342
## 7 Manhattan 4  2.109527 0.3738897 0.1869449
## 8 Manhattan 4  9.331009 0.3141392 0.1570696
## 9 Manhattan 4 18.924386 2.5837112 1.2918556

2.2.2 5-10 cm L*P

did not change landuse se values only did landuse and precip interaction

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        28.497  14.248     2 24.271  7.1049  0.003724 ** 
## precip          0.013   0.013     1 28.446  0.0066  0.935626    
## landuse:precip 76.829  38.414     2 23.760 19.1554 1.111e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        28.497  14.248     2 24.271  7.1049  0.003724 ** 
## precip          0.013   0.013     1 28.446  0.0066  0.935626    
## landuse:precip 76.829  38.414     2 23.760 19.1554 1.111e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean    SE   df lower.CL upper.CL
##  AG        4.76 0.813 11.6     2.98     6.54
##  EA        4.69 0.722 10.1     3.08     6.30
##  NP       11.34 0.722 10.1     9.73    12.95
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean    SE   df lower.CL upper.CL .group
##  NP       11.34 0.722 10.1     9.73    12.95  a    
##  AG        4.76 0.813 11.6     2.98     6.54   b   
##  EA        4.69 0.722 10.1     3.08     6.30   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse    lsmean        SE       df lower.CL  upper.CL .group
## 2      NP 11.340304 0.7218120 10.05769 9.733256 12.947352     a 
## 1      AG  4.761182 0.8125304 11.63811 2.984705  6.537658      b
## 3      EA  4.687993 0.7218120 10.05769 3.080945  6.295041      b

## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF   DenDF F value   Pr(>F)    
## landuse        316.19 158.094     2 19.0440 72.1280  1.3e-09 ***
## precip           0.05   0.025     2  9.1102  0.0114 0.988725    
## landuse:precip  69.00  17.250     4 15.9060  7.8700 0.001066 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        6.97 1.15 11.4    4.455     9.48
##  EA        4.24 1.15 11.4    1.725     6.76
##  NP        9.48 1.15 11.4    6.966    12.00
## 
## precip = 579:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        5.40 1.15 11.4    2.881     7.91
##  EA        4.87 1.15 11.4    2.358     7.39
##  NP       10.64 1.15 11.4    8.130    13.16
## 
## precip = 850:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        2.12 1.15 11.4   -0.393     4.64
##  EA        5.02 1.15 11.4    2.504     7.53
##  NP       13.96 1.15 11.4   11.448    16.48
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP        9.48 1.15 11.4    6.966    12.00  a    
##  AG        6.97 1.15 11.4    4.455     9.48  ab   
##  EA        4.24 1.15 11.4    1.725     6.76   b   
## 
## precip = 579:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP       10.64 1.15 11.4    8.130    13.16  a    
##  AG        5.40 1.15 11.4    2.881     7.91   b   
##  EA        4.87 1.15 11.4    2.358     7.39   b   
## 
## precip = 850:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP       13.96 1.15 11.4   11.448    16.48  a    
##  EA        5.02 1.15 11.4    2.504     7.53   b   
##  AG        2.12 1.15 11.4   -0.393     4.64    c  
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip    lsmean       SE       df   lower.CL  upper.CL .group
## 2      NP    472  9.481236 1.148036 11.44541  6.9663719 11.996100     a 
## 1      AG    472  6.969692 1.148036 11.44541  4.4548283  9.484556     ab
## 3      EA    472  4.240214 1.148036 11.44541  1.7253496  6.755077      b
## 5      NP    579 10.644967 1.148036 11.44541  8.1301032 13.159831     a 
## 4      AG    579  5.395481 1.148036 11.44541  2.8806173  7.910345      b
## 6      EA    579  4.872860 1.148036 11.44541  2.3579962  7.387724      b
## 7      NP    850 13.962659 1.148036 11.44541 11.4477952 16.477523    a  
## 8      EA    850  5.018855 1.148036 11.44541  2.5039916  7.533719     b 
## 9      AG    850  2.122223 1.148036 11.44541 -0.3926413  4.637087      c
##   precip landuse    lsmean       SE       df   lower.CL  upper.CL .group
## 1    472      AG  6.969692 1.148036 11.44541  4.4548283  9.484556     ab
## 2    472      EA  4.240214 1.148036 11.44541  1.7253496  6.755077      b
## 3    472      NP  9.481236 1.148036 11.44541  6.9663719 11.996100     a 
## 4    579      AG  5.395481 1.148036 11.44541  2.8806173  7.910345      b
## 5    579      EA  4.872860 1.148036 11.44541  2.3579962  7.387724      b
## 6    579      NP 10.644967 1.148036 11.44541  8.1301032 13.159831     a 
## 7    850      AG  2.122223 1.148036 11.44541 -0.3926413  4.637087      c
## 8    850      EA  5.018855 1.148036 11.44541  2.5039916  7.533719     b 
## 9    850      NP 13.962659 1.148036 11.44541 11.4477952 16.477523    a  
##    location n      mean        sd        se
## 1   Tribune 4  6.969692 1.6392338 0.8196169
## 2   Tribune 4  4.240214 3.1175334 1.5587667
## 3   Tribune 4  9.481236 3.1945602 1.5972801
## 4      Hays 4  5.395481 2.1027724 1.0513862
## 5      Hays 4  4.872860 1.5922687 0.7961343
## 6      Hays 4 10.644967 1.4405592 0.7202796
## 7 Manhattan 4  2.122223 0.3091495 0.1545748
## 8 Manhattan 4  5.018855 0.3755226 0.1877613
## 9 Manhattan 4 13.962659 1.8422634 0.9211317

2.2.3 10-15 cm L*P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse         3.751  1.8756     2    30  1.5555   0.22764    
## precip          4.931  4.9309     1    30  4.0892   0.05215 .  
## landuse:precip 33.375 16.6873     2    30 13.8389 5.517e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF  F value    Pr(>F)    
## landuse        265.143 132.571     2    27 127.5786 1.745e-14 ***
## precip          10.113   5.057     2    27   4.8662 0.0156764 *  
## landuse:precip  36.310   9.078     4    27   8.7357 0.0001166 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        3.59 0.51 27     2.55     4.64
##  EA        2.47 0.51 27     1.43     3.52
##  NP        6.50 0.51 27     5.45     7.54
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        3.16 0.51 27     2.12     4.21
##  EA        3.86 0.51 27     2.82     4.91
##  NP        8.96 0.51 27     7.92    10.01
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        2.26 0.51 27     1.21     3.31
##  EA        2.75 0.51 27     1.71     3.80
##  NP       10.87 0.51 27     9.82    11.91
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP        6.50 0.51 27     5.45     7.54  a    
##  AG        3.59 0.51 27     2.55     4.64   b   
##  EA        2.47 0.51 27     1.43     3.52   b   
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP        8.96 0.51 27     7.92    10.01  a    
##  EA        3.86 0.51 27     2.82     4.91   b   
##  AG        3.16 0.51 27     2.12     4.21   b   
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP       10.87 0.51 27     9.82    11.91  a    
##  EA        2.75 0.51 27     1.71     3.80   b   
##  AG        2.26 0.51 27     1.21     3.31   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip    lsmean        SE df lower.CL  upper.CL .group
## 2      NP    472  6.495736 0.5096899 27 5.449939  7.541534     a 
## 1      AG    472  3.592756 0.5096899 27 2.546958  4.638553      b
## 3      EA    472  2.473458 0.5096899 27 1.427661  3.519255      b
## 4      NP    579  8.962847 0.5096899 27 7.917049 10.008644     a 
## 5      EA    579  3.863588 0.5096899 27 2.817790  4.909385      b
## 6      AG    579  3.163233 0.5096899 27 2.117436  4.209030      b
## 7      NP    850 10.865018 0.5096899 27 9.819221 11.910815     a 
## 8      EA    850  2.752753 0.5096899 27 1.706956  3.798551      b
## 9      AG    850  2.259754 0.5096899 27 1.213957  3.305552      b
##   precip landuse    lsmean        SE df lower.CL  upper.CL .group  location n
## 1    472      AG  3.592756 0.5096899 27 2.546958  4.638553      b   Tribune 4
## 2    472      EA  2.473458 0.5096899 27 1.427661  3.519255      b   Tribune 4
## 3    472      NP  6.495736 0.5096899 27 5.449939  7.541534     a    Tribune 4
## 4    579      AG  3.163233 0.5096899 27 2.117436  4.209030      b      Hays 4
## 5    579      EA  3.863588 0.5096899 27 2.817790  4.909385      b      Hays 4
## 6    579      NP  8.962847 0.5096899 27 7.917049 10.008644     a       Hays 4
## 7    850      AG  2.259754 0.5096899 27 1.213957  3.305552      b Manhattan 4
## 8    850      EA  2.752753 0.5096899 27 1.706956  3.798551      b Manhattan 4
## 9    850      NP 10.865018 0.5096899 27 9.819221 11.910815     a  Manhattan 4
##        mean        sd         se
## 1  3.592756 0.5598079 0.27990395
## 2  2.473458 0.3228264 0.16141321
## 3  6.495736 1.2065461 0.60327303
## 4  3.163233 0.8529365 0.42646824
## 5  3.863588 0.1800028 0.09000141
## 6  8.962846 1.2775494 0.63877468
## 7  2.259755 0.4110392 0.20551962
## 8  2.752753 0.6408971 0.32044855
## 9 10.865018 2.1229991 1.06149957

2.3 Acid Phosphatase

2.3.1 0-5 cm P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF F value  Pr(>F)  
## landuse         9933.8  4966.9     2 19.488  2.8414 0.08263 .
## precip         13022.4 13022.4     1 29.633  7.4498 0.01057 *
## landuse:precip  9553.6  4776.8     2 19.488  2.7327 0.08992 .
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF   DenDF F value    Pr(>F)    
## landuse        265172  132586     2 20.2421 355.867 < 2.2e-16 ***
## precip          32076   16038     2  8.2925  43.047 4.175e-05 ***
## landuse:precip  39710    9927     4 20.2421  26.646 8.166e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean   SE   df lower.CL upper.CL
##  472       110 6.73 9.68     94.7      125
##  579       182 6.73 9.68    167.2      197
##  850       119 6.73 9.68    104.3      134
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean   SE   df lower.CL upper.CL .group
##  579       182 6.73 9.68    167.2      197  a    
##  850       119 6.73 9.68    104.3      134   b   
##  472       110 6.73 9.68     94.7      125   b   
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean       SE       df  lower.CL upper.CL .group
## 1    579 182.2288 6.734382 9.676881 167.15546 197.3021     a 
## 3    850 119.3474 6.734382 9.676881 104.27409 134.4208      b
## 2    472 109.7360 6.734382 9.676881  94.66269 124.8094      b

2.3.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value   Pr(>F)   
## landuse        9352.2  4676.1     2    30  6.2452 0.005401 **
## precip         4163.5  4163.5     1    30  5.5605 0.025084 * 
## landuse:precip 6416.6  3208.3     2    30  4.2849 0.023074 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse         85297   42649     2    27 97.4347 4.478e-13 ***
## precip           7908    3954     2    27  9.0333 0.0009917 ***
## landuse:precip  13316    3329     4    27  7.6056 0.0003070 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        46.5 6.04 14.8     33.6     59.4
##  EA        60.2 6.04 24.8     47.7     72.6
##  NP       155.9 6.04 24.8    143.5    168.4
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP       155.9 6.04 24.8    143.5    168.4  a    
##  EA        60.2 6.04 24.8     47.7     72.6   b   
##  AG        46.5 6.04 14.8     33.6     59.4   b   
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse    lsmean       SE    df  lower.CL  upper.CL .group
## 1      NP 155.92509 6.039549 24.75 143.48004 168.37015     a 
## 2      EA  60.16690 6.039549 24.75  47.72184  72.61196      b
## 3      AG  46.52442 6.039549 14.85  33.64009  59.40874      b

##  precip lsmean   SE   df lower.CL upper.CL
##  472      88.4 6.04 24.8     76.0    100.9
##  579     105.2 6.04 14.8     92.3    118.1
##  850      69.0 6.04 14.8     56.1     81.8
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean   SE   df lower.CL upper.CL .group
##  579     105.2 6.04 14.8     92.3    118.1  a    
##  472      88.4 6.04 24.8     76.0    100.9  a    
##  850      69.0 6.04 14.8     56.1     81.8   b   
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip    lsmean       SE    df lower.CL  upper.CL .group
## 3    579 105.22521 6.039549 14.85 92.34088 118.10954     a 
## 1    472  88.43687 6.039549 24.75 75.99181 100.88193     a 
## 2    850  68.95433 6.039549 14.85 56.07001  81.83866      b

## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG       75.83 10.5 27     54.4     97.3
##  EA       52.64 10.5 27     31.2     74.1
##  NP      136.85 10.5 27    115.4    158.3
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG       54.09 10.5 27     32.6     75.6
##  EA       61.56 10.5 27     40.1     83.0
##  NP      200.03 10.5 27    178.6    221.5
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        9.66 10.5 27    -11.8     31.1
##  EA       66.30 10.5 27     44.8     87.8
##  NP      130.90 10.5 27    109.4    152.4
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP      136.85 10.5 27    115.4    158.3  a    
##  AG       75.83 10.5 27     54.4     97.3   b   
##  EA       52.64 10.5 27     31.2     74.1   b   
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP      200.03 10.5 27    178.6    221.5  a    
##  EA       61.56 10.5 27     40.1     83.0   b   
##  AG       54.09 10.5 27     32.6     75.6   b   
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP      130.90 10.5 27    109.4    152.4  a    
##  EA       66.30 10.5 27     44.8     87.8   b   
##  AG        9.66 10.5 27    -11.8     31.1    c  
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip     lsmean       SE df  lower.CL  upper.CL .group
## 2      NP    472 136.845849 10.46081 27 115.38205 158.30965     a 
## 1      AG    472  75.825188 10.46081 27  54.36139  97.28899      b
## 3      EA    472  52.639563 10.46081 27  31.17576  74.10336      b
## 4      NP    579 200.028036 10.46081 27 178.56423 221.49184     a 
## 5      EA    579  61.561062 10.46081 27  40.09726  83.02486      b
## 6      AG    579  54.086524 10.46081 27  32.62272  75.55033      b
## 7      NP    850 130.901396 10.46081 27 109.43759 152.36520    a  
## 8      EA    850  66.300074 10.46081 27  44.83627  87.76388     b 
## 9      AG    850   9.661535 10.46081 27 -11.80227  31.12534      c
##   precip landuse     lsmean       SE df  lower.CL  upper.CL .group  location n
## 1    472      AG  75.825188 10.46081 27  54.36139  97.28899      b   Tribune 4
## 2    472      EA  52.639563 10.46081 27  31.17576  74.10336      b   Tribune 4
## 3    472      NP 136.845849 10.46081 27 115.38205 158.30965     a    Tribune 4
## 4    579      AG  54.086524 10.46081 27  32.62272  75.55033      b      Hays 4
## 5    579      EA  61.561062 10.46081 27  40.09726  83.02486      b      Hays 4
## 6    579      NP 200.028036 10.46081 27 178.56423 221.49184     a       Hays 4
## 7    850      AG   9.661535 10.46081 27 -11.80227  31.12534      c Manhattan 4
## 8    850      EA  66.300074 10.46081 27  44.83627  87.76388     b  Manhattan 4
## 9    850      NP 130.901396 10.46081 27 109.43759 152.36520    a   Manhattan 4
##         mean        sd         se
## 1  75.825188 11.894437  5.9472184
## 2  52.639563 19.813553  9.9067765
## 3 136.845849 42.416420 21.2082098
## 4  54.086524  9.064335  4.5321674
## 5  61.561062  3.354614  1.6773072
## 6 200.028036 11.246036  5.6230180
## 7   9.661535  1.349821  0.6749107
## 8  66.300074 12.154755  6.0773775
## 9 130.901396 35.167724 17.5838618

2.3.3 10-15 cm P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value   Pr(>F)   
## landuse        2692.8  1346.4     2    30  2.4621 0.102314   
## precip         7199.4  7199.4     1    30 13.1651 0.001048 **
## landuse:precip  877.1   438.5     2    30  0.8019 0.457838   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse         33885 16942.6     2    27 59.8329 1.197e-10 ***
## precip           9346  4673.0     2    27 16.5026 2.079e-05 ***
## landuse:precip   7491  1872.6     4    27  6.6132 0.0007607 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean   SE   df lower.CL upper.CL
##  472      75.5 4.86 13.5     65.1     86.0
##  579      84.2 4.86 13.5     73.8     94.7
##  850      46.5 4.86 13.5     36.1     57.0
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean   SE   df lower.CL upper.CL .group
##  579      84.2 4.86 13.5     73.8     94.7  a    
##  472      75.5 4.86 13.5     65.1     86.0  a    
##  850      46.5 4.86 13.5     36.1     57.0   b   
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean       SE   df lower.CL upper.CL .group
## 3    579 84.21449 4.857691 13.5 73.75947 94.66952     a 
## 1    472 75.53836 4.857691 13.5 65.08334 85.99339     a 
## 2    850 46.53298 4.857691 13.5 36.07795 56.98801      b

2.4 Alkaline Phosphatase

2.4.1 0-5 cm L*P

did not do SE for land use

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        6274.1 3137.06     2 21.902 14.7820 8.645e-05 ***
## precip          758.2  758.22     1 21.925  3.5728   0.07203 .  
## landuse:precip 2161.8 1080.88     2 21.902  5.0932   0.01526 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF  F value    Pr(>F)    
## landuse        26411.8 13205.9     2 21.808 128.5598 8.521e-13 ***
## precip          1347.3   673.7     2 10.606   6.5582     0.014 *  
## landuse:precip  4519.6  1129.9     4 21.808  10.9997 4.880e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        24.2 3.27 18.5     17.3     31.1
##  EA        35.1 3.27 18.5     28.2     41.9
##  NP        86.3 3.27 18.5     79.5     93.2
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP        86.3 3.27 18.5     79.5     93.2  a    
##  EA        35.1 3.27 18.5     28.2     41.9   b   
##  AG        24.2 3.27 18.5     17.3     31.1    c  
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse   lsmean       SE       df lower.CL upper.CL .group
## 1      NP 86.31681 3.273376 18.53298 79.45386 93.17977    a  
## 2      EA 35.08142 3.273376 18.53298 28.21846 41.94438     b 
## 3      AG 24.19335 3.273376 18.53298 17.33039 31.05631      c

## precip = 472:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        11.8 5.44 25.3    0.637     23.0
##  EA        18.2 5.44 25.3    7.008     29.4
##  NP        82.7 5.44 25.3   71.536     93.9
## 
## precip = 579:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        12.9 5.44 25.3    1.751     24.1
##  EA        56.1 5.44 25.3   44.885     67.3
##  NP        94.1 5.44 25.3   82.860    105.2
## 
## precip = 850:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        47.8 5.44 25.3   36.619     59.0
##  EA        31.0 5.44 25.3   19.778     42.2
##  NP        82.2 5.44 25.3   70.981     93.4
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP        82.7 5.44 25.3   71.536     93.9  a    
##  EA        18.2 5.44 25.3    7.008     29.4   b   
##  AG        11.8 5.44 25.3    0.637     23.0   b   
## 
## precip = 579:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP        94.1 5.44 25.3   82.860    105.2  a    
##  EA        56.1 5.44 25.3   44.885     67.3   b   
##  AG        12.9 5.44 25.3    1.751     24.1    c  
## 
## precip = 850:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP        82.2 5.44 25.3   70.981     93.4  a    
##  AG        47.8 5.44 25.3   36.619     59.0   b   
##  EA        31.0 5.44 25.3   19.778     42.2    c  
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip   lsmean       SE      df   lower.CL  upper.CL .group
## 1      NP    472 82.72739 5.436833 25.2876 71.5364806  93.91831     a 
## 2      EA    472 18.19938 5.436833 25.2876  7.0084641  29.39029      b
## 3      AG    472 11.82769 5.436833 25.2876  0.6367806  23.01861      b
## 4      NP    579 94.05087 5.436833 25.2876 82.8599553 105.24178    a  
## 5      EA    579 56.07564 5.436833 25.2876 44.8847300  67.26656     b 
## 6      AG    579 12.94232 5.436833 25.2876  1.7514103  24.13324      c
## 8      NP    850 82.17218 5.436833 25.2876 70.9812688  93.36310    a  
## 7      AG    850 47.81004 5.436833 25.2876 36.6191264  59.00095     b 
## 9      EA    850 30.96925 5.436833 25.2876 19.7783355  42.16016      c
##   precip landuse   lsmean       SE      df   lower.CL  upper.CL .group
## 1    472      AG 11.82769 5.436833 25.2876  0.6367806  23.01861      b
## 2    472      EA 18.19938 5.436833 25.2876  7.0084641  29.39029      b
## 3    472      NP 82.72739 5.436833 25.2876 71.5364806  93.91831     a 
## 4    579      AG 12.94232 5.436833 25.2876  1.7514103  24.13324      c
## 5    579      EA 56.07564 5.436833 25.2876 44.8847300  67.26656     b 
## 6    579      NP 94.05087 5.436833 25.2876 82.8599553 105.24178    a  
## 7    850      AG 47.81004 5.436833 25.2876 36.6191264  59.00095     b 
## 8    850      EA 30.96925 5.436833 25.2876 19.7783355  42.16016      c
## 9    850      NP 82.17218 5.436833 25.2876 70.9812688  93.36310    a  
##    location n     mean        sd         se
## 1   Tribune 4 11.82769  3.511280  1.7556398
## 2   Tribune 4 18.19938 11.038924  5.5194620
## 3   Tribune 4 82.72739  8.045277  4.0226386
## 4      Hays 4 12.94232  1.081332  0.5406662
## 5      Hays 4 56.07564 25.083108 12.5415541
## 6      Hays 4 94.05087  6.609117  3.3045584
## 7 Manhattan 4 47.81004  3.157565  1.5787824
## 8 Manhattan 4 30.96925  3.864476  1.9322380
## 9 Manhattan 4 82.17218 13.086676  6.5433378

2.4.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        5806.7 2903.36     2    27 48.8669 1.066e-09 ***
## precip          697.6  348.80     2    27  5.8708  0.007639 ** 
## landuse:precip 3257.7  814.43     4    27 13.7078 3.170e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        5806.7 2903.36     2    27 48.8669 1.066e-09 ***
## precip          697.6  348.80     2    27  5.8708  0.007639 ** 
## landuse:precip 3257.7  814.43     4    27 13.7078 3.170e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        22.9 2.23 14.8    18.17     27.7
##  EA        13.0 2.23 24.8     8.38     17.5
##  NP        43.5 2.23 24.8    38.88     48.0
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP        43.5 2.23 24.8    38.88     48.0  a    
##  AG        22.9 2.23 14.8    18.17     27.7   b   
##  EA        13.0 2.23 24.8     8.38     17.5    c  
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse   lsmean       SE    df  lower.CL upper.CL .group
## 2      NP 43.46246 2.225116 24.75 38.877396 48.04752    a  
## 1      AG 22.91538 2.225116 14.85 18.168486 27.66228     b 
## 3      EA 12.96014 2.225116 24.75  8.375082 17.54520      c

##  precip lsmean   SE   df lower.CL upper.CL
##  472      22.2 2.23 24.8     17.7     26.8
##  579      24.6 2.23 14.8     19.8     29.3
##  850      32.5 2.23 14.8     27.8     37.3
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean   SE   df lower.CL upper.CL .group
##  850      32.5 2.23 14.8     27.8     37.3  a    
##  579      24.6 2.23 14.8     19.8     29.3   b   
##  472      22.2 2.23 24.8     17.7     26.8   b   
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean       SE    df lower.CL upper.CL .group
## 1    850 32.52672 2.225116 14.85 27.77982 37.27361     a 
## 2    579 24.56131 2.225116 14.85 19.81442 29.30821      b
## 3    472 22.24995 2.225116 24.75 17.66489 26.83501      b

## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        8.84 3.85 27    0.929     16.7
##  EA       14.07 3.85 27    6.159     22.0
##  NP       43.85 3.85 27   35.938     51.8
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG       11.90 3.85 27    3.989     19.8
##  EA       15.41 3.85 27    7.501     23.3
##  NP       46.38 3.85 27   38.471     54.3
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG       48.01 3.85 27   40.104     55.9
##  EA        9.40 3.85 27    1.497     17.3
##  NP       40.16 3.85 27   32.255     48.1
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP       43.85 3.85 27   35.938     51.8  a    
##  EA       14.07 3.85 27    6.159     22.0   b   
##  AG        8.84 3.85 27    0.929     16.7   b   
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP       46.38 3.85 27   38.471     54.3  a    
##  EA       15.41 3.85 27    7.501     23.3   b   
##  AG       11.90 3.85 27    3.989     19.8   b   
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  AG       48.01 3.85 27   40.104     55.9  a    
##  NP       40.16 3.85 27   32.255     48.1  a    
##  EA        9.40 3.85 27    1.497     17.3   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip    lsmean       SE df   lower.CL upper.CL .group
## 1      NP    472 43.845743 3.854013 27 35.9379608 51.75353     a 
## 2      EA    472 14.066993 3.854013 27  6.1592110 21.97478      b
## 3      AG    472  8.837121 3.854013 27  0.9293387 16.74490      b
## 4      NP    579 46.378364 3.854013 27 38.4705820 54.28615     a 
## 5      EA    579 15.408482 3.854013 27  7.5006995 23.31626      b
## 6      AG    579 11.897095 3.854013 27  3.9893128 19.80488      b
## 8      AG    850 48.011935 3.854013 27 40.1041524 55.91972     a 
## 9      NP    850 40.163259 3.854013 27 32.2554765 48.07104     a 
## 7      EA    850  9.404951 3.854013 27  1.4971690 17.31273      b
##   precip landuse    lsmean       SE df   lower.CL upper.CL .group  location n
## 1    472      AG  8.837121 3.854013 27  0.9293387 16.74490      b   Tribune 4
## 2    472      EA 14.066993 3.854013 27  6.1592110 21.97478      b   Tribune 4
## 3    472      NP 43.845743 3.854013 27 35.9379608 51.75353     a    Tribune 4
## 4    579      AG 11.897095 3.854013 27  3.9893128 19.80488      b      Hays 4
## 5    579      EA 15.408482 3.854013 27  7.5006995 23.31626      b      Hays 4
## 6    579      NP 46.378364 3.854013 27 38.4705820 54.28615     a       Hays 4
## 7    850      AG 48.011935 3.854013 27 40.1041524 55.91972     a  Manhattan 4
## 8    850      EA  9.404951 3.854013 27  1.4971690 17.31273      b Manhattan 4
## 9    850      NP 40.163259 3.854013 27 32.2554765 48.07104     a  Manhattan 4
##        mean        sd        se
## 1  8.837121  2.411700 1.2058502
## 2 14.066993 10.289012 5.1445061
## 3 43.845743  9.675604 4.8378020
## 4 11.897095  2.295159 1.1475796
## 5 15.408482 10.360296 5.1801482
## 6 46.378364  5.967996 2.9839979
## 7 48.011935  2.717338 1.3586689
## 8  9.404951  1.402325 0.7011624
## 9 40.163259 13.109341 6.5546704

2.5 10-15 cm L*P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        2020.8 1010.39     2    30 10.4876 0.0003519 ***
## precip          424.9  424.90     1    30  4.4103 0.0442347 *  
## landuse:precip 1790.5  895.26     2    30  9.2926 0.0007232 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        2738.95 1369.48     2    27 16.6134 1.978e-05 ***
## precip          433.98  216.99     2    27  2.6323 0.0902803 .  
## landuse:precip 2446.00  611.50     4    27  7.4182 0.0003628 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        26.2 2.62 24.3     20.8     31.6
##  EA        18.3 2.62 24.3     12.8     23.7
##  NP        39.4 2.62 24.3     34.0     44.8
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP        39.4 2.62 24.3     34.0     44.8  a    
##  AG        26.2 2.62 24.3     20.8     31.6   b   
##  EA        18.3 2.62 24.3     12.8     23.7    c  
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse   lsmean       SE   df lower.CL upper.CL .group
## 2      NP 39.40352 2.620945 24.3 33.99769 44.80935    a  
## 1      AG 26.21479 2.620945 24.3 20.80896 31.62062     b 
## 3      EA 18.25195 2.620945 24.3 12.84612 23.65779      c

##  precip lsmean   SE   df lower.CL upper.CL
##  472      31.9 2.62 13.5     26.3     37.6
##  579      28.4 2.62 13.5     22.8     34.1
##  850      23.5 2.62 13.5     17.8     29.1
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean   SE   df lower.CL upper.CL .group
##  472      31.9 2.62 13.5     26.3     37.6  a    
##  579      28.4 2.62 13.5     22.8     34.1  ab   
##  850      23.5 2.62 13.5     17.8     29.1   b   
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean       SE   df lower.CL upper.CL .group
## 3    472 31.94195 2.620945 13.5 26.30099 37.58292     a 
## 2    579 28.44832 2.620945 13.5 22.80736 34.08929     ab
## 1    850 23.47999 2.620945 13.5 17.83902 29.12095      b

## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG       26.00 4.54 27     16.7     35.3
##  EA       24.34 4.54 27     15.0     33.7
##  NP       45.49 4.54 27     36.2     54.8
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG       15.01 4.54 27      5.7     24.3
##  EA       24.21 4.54 27     14.9     33.5
##  NP       46.13 4.54 27     36.8     55.4
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG       37.64 4.54 27     28.3     47.0
##  EA        6.21 4.54 27     -3.1     15.5
##  NP       26.59 4.54 27     17.3     35.9
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP       45.49 4.54 27     36.2     54.8  a    
##  AG       26.00 4.54 27     16.7     35.3   b   
##  EA       24.34 4.54 27     15.0     33.7   b   
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP       46.13 4.54 27     36.8     55.4  a    
##  EA       24.21 4.54 27     14.9     33.5   b   
##  AG       15.01 4.54 27      5.7     24.3   b   
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  AG       37.64 4.54 27     28.3     47.0  a    
##  NP       26.59 4.54 27     17.3     35.9  a    
##  EA        6.21 4.54 27     -3.1     15.5   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip    lsmean      SE df  lower.CL upper.CL .group
## 2      NP    472 45.490348 4.53961 27 36.175838 54.80486     a 
## 1      AG    472 25.997263 4.53961 27 16.682753 35.31177      b
## 3      EA    472 24.338253 4.53961 27 15.023743 33.65276      b
## 4      NP    579 46.130202 4.53961 27 36.815692 55.44471     a 
## 5      EA    579 24.205126 4.53961 27 14.890616 33.51964      b
## 6      AG    579 15.009646 4.53961 27  5.695136 24.32416      b
## 8      AG    850 37.637466 4.53961 27 28.322956 46.95198     a 
## 9      NP    850 26.590013 4.53961 27 17.275503 35.90452     a 
## 7      EA    850  6.212484 4.53961 27 -3.102026 15.52699      b
##   precip landuse    lsmean      SE df  lower.CL upper.CL .group  location n
## 1    472      AG 25.997263 4.53961 27 16.682753 35.31177      b   Tribune 4
## 2    472      EA 24.338253 4.53961 27 15.023743 33.65276      b   Tribune 4
## 3    472      NP 45.490348 4.53961 27 36.175838 54.80486     a    Tribune 4
## 4    579      AG 15.009646 4.53961 27  5.695136 24.32416      b      Hays 4
## 5    579      EA 24.205126 4.53961 27 14.890616 33.51964      b      Hays 4
## 6    579      NP 46.130202 4.53961 27 36.815692 55.44471     a       Hays 4
## 7    850      AG 37.637466 4.53961 27 28.322956 46.95198     a  Manhattan 4
## 8    850      EA  6.212484 4.53961 27 -3.102026 15.52699      b Manhattan 4
## 9    850      NP 26.590013 4.53961 27 17.275503 35.90452     a  Manhattan 4
##        mean        sd        se
## 1 25.997263 13.430976 6.7154881
## 2 24.338253  7.244025 3.6220127
## 3 45.490348  5.520735 2.7603677
## 4 15.009646  2.887061 1.4435303
## 5 24.205126  5.801286 2.9006429
## 6 46.130202  4.095621 2.0478105
## 7 37.637466 17.600190 8.8000950
## 8  6.212484  1.287668 0.6438341
## 9 26.590013 10.409398 5.2046989

2.6 Arylsulfatase

2.6.1 0-5 cm L+P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        707.48  353.74     2    30 11.2066 0.0002319 ***
## precip         245.16  245.16     1    30  7.7669 0.0091407 ** 
## landuse:precip  17.44    8.72     2    30  0.2762 0.7605832    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF  F value    Pr(>F)    
## landuse        15832.6  7916.3     2 21.560 1021.497 < 2.2e-16 ***
## precip           252.5   126.2     2 10.372   16.289 0.0006306 ***
## landuse:precip   705.4   176.4     4 21.560   22.757 1.774e-07 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean    SE   df lower.CL upper.CL
##  AG        3.21 0.876 19.8     1.38     5.04
##  EA        8.45 0.876 19.8     6.62    10.28
##  NP       50.09 0.876 19.8    48.26    51.92
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean    SE   df lower.CL upper.CL .group
##  NP       50.09 0.876 19.8    48.26    51.92  a    
##  EA        8.45 0.876 19.8     6.62    10.28   b   
##  AG        3.21 0.876 19.8     1.38     5.04    c  
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse    lsmean       SE       df  lower.CL  upper.CL .group
## 1      NP 50.086544 0.875904 19.76627 48.258055 51.915034    a  
## 2      EA  8.452328 0.875904 19.76627  6.623838 10.280818     b 
## 3      AG  3.211371 0.875904 19.76627  1.382881  5.039861      c

##  precip lsmean   SE   df lower.CL upper.CL
##  472      18.8 0.93 10.3     16.7     20.8
##  579      18.5 0.93 10.3     16.5     20.6
##  850      24.5 0.93 10.3     22.4     26.5
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean   SE   df lower.CL upper.CL .group
##  850      24.5 0.93 10.3     22.4     26.5  a    
##  472      18.8 0.93 10.3     16.7     20.8   b   
##  579      18.5 0.93 10.3     16.5     20.6   b   
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean        SE       df lower.CL upper.CL .group
## 2    850 24.46099 0.9296914 10.27579 22.39702 26.52496     a 
## 1    472 18.76439 0.9296914 10.27579 16.70042 20.82836      b
## 3    579 18.52486 0.9296914 10.27579 16.46089 20.58883      b

2.6.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse         42.16   21.08     2 21.883  2.8845   0.07729 .  
## precip         423.76  423.76     1 29.445 57.9862 1.939e-08 ***
## landuse:precip 547.18  273.59     2 21.142 37.4374 1.129e-07 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        5991.2 2995.61     2 22.867 480.154 < 2.2e-16 ***
## precip          674.0  336.98     2 16.466  54.013 5.846e-08 ***
## landuse:precip  642.1  160.52     4 21.095  25.729 7.502e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean    SE    df lower.CL upper.CL
##  472      8.26 0.820 17.32     6.53     9.99
##  579     14.45 0.891  9.13    12.44    16.46
##  850     19.99 0.891  9.13    17.98    22.00
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean    SE    df lower.CL upper.CL .group
##  850     19.99 0.891  9.13    17.98    22.00  a    
##  579     14.45 0.891  9.13    12.44    16.46   b   
##  472      8.26 0.820 17.32     6.53     9.99    c  
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean        SE       df  lower.CL  upper.CL .group
## 1    850 19.99076 0.8906200  9.12986 17.980397 22.001122    a  
## 2    579 14.45133 0.8906200  9.12986 12.440971 16.461696     b 
## 3    472  8.25981 0.8195958 17.32099  6.533052  9.986568      c

## precip = 472:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        1.65 1.35 24.4   -1.146     4.44
##  EA        3.98 1.35 24.4    1.189     6.77
##  NP       19.15 1.35 24.4   16.361    21.94
## 
## precip = 579:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        3.47 1.35 24.4    0.679     6.26
##  EA        6.73 1.35 24.4    3.941     9.52
##  NP       33.15 1.35 24.4   30.359    35.94
## 
## precip = 850:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        6.71 1.35 24.4    3.923     9.51
##  EA        7.63 1.35 24.4    4.839    10.42
##  NP       45.63 1.35 24.4   42.836    48.42
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP       19.15 1.35 24.4   16.361    21.94  a    
##  EA        3.98 1.35 24.4    1.189     6.77   b   
##  AG        1.65 1.35 24.4   -1.146     4.44   b   
## 
## precip = 579:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP       33.15 1.35 24.4   30.359    35.94  a    
##  EA        6.73 1.35 24.4    3.941     9.52   b   
##  AG        3.47 1.35 24.4    0.679     6.26   b   
## 
## precip = 850:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP       45.63 1.35 24.4   42.836    48.42  a    
##  EA        7.63 1.35 24.4    4.839    10.42   b   
##  AG        6.71 1.35 24.4    3.923     9.51   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip    lsmean       SE       df   lower.CL  upper.CL .group
## 1      NP    472 19.153109 1.353888 24.42584 16.3613982 21.944820     a 
## 2      EA    472  3.980589 1.353888 24.42584  1.1888776  6.772300      b
## 3      AG    472  1.645733 1.353888 24.42584 -1.1459779  4.437444      b
## 4      NP    579 33.150908 1.353888 24.42584 30.3591970 35.942619     a 
## 5      EA    579  6.732545 1.353888 24.42584  3.9408335  9.524255      b
## 6      AG    579  3.470547 1.353888 24.42584  0.6788364  6.262258      b
## 7      NP    850 45.627650 1.353888 24.42584 42.8359394 48.419361     a 
## 8      EA    850  7.630217 1.353888 24.42584  4.8385061 10.421928      b
## 9      AG    850  6.714410 1.353888 24.42584  3.9226987  9.506121      b
##   precip landuse    lsmean       SE       df   lower.CL  upper.CL .group
## 1    472      AG  1.645733 1.353888 24.42584 -1.1459779  4.437444      b
## 2    472      EA  3.980589 1.353888 24.42584  1.1888776  6.772300      b
## 3    472      NP 19.153109 1.353888 24.42584 16.3613982 21.944820     a 
## 4    579      AG  3.470547 1.353888 24.42584  0.6788364  6.262258      b
## 5    579      EA  6.732545 1.353888 24.42584  3.9408335  9.524255      b
## 6    579      NP 33.150908 1.353888 24.42584 30.3591970 35.942619     a 
## 7    850      AG  6.714410 1.353888 24.42584  3.9226987  9.506121      b
## 8    850      EA  7.630217 1.353888 24.42584  4.8385061 10.421928      b
## 9    850      NP 45.627650 1.353888 24.42584 42.8359394 48.419361     a 
##    location n      mean        sd        se
## 1   Tribune 4  1.645733 1.0976299 0.5488149
## 2   Tribune 4  3.980589 2.6832968 1.3416484
## 3   Tribune 4 19.153109 4.0860083 2.0430041
## 4      Hays 4  3.470547 0.8341474 0.4170737
## 5      Hays 4  6.732545 2.0520189 1.0260095
## 6      Hays 4 33.150908 4.5075733 2.2537867
## 7 Manhattan 4  6.714410 0.4729846 0.2364923
## 8 Manhattan 4  7.630217 0.9394719 0.4697360
## 9 Manhattan 4 45.627650 3.7088021 1.8544011

2.6.3 10-15 cm L*P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse         24.141  12.070     2 24.486  1.4358 0.2572630    
## precip          68.493  68.493     1 23.836  8.1474 0.0087831 ** 
## landuse:precip 178.201  89.101     2 24.486 10.5988 0.0004832 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF  F value    Pr(>F)    
## landuse        4219.7 2109.87     2 21.467 283.6221 3.663e-16 ***
## precip           65.5   32.73     2 10.466   4.3998 0.0410429 *  
## landuse:precip  220.3   55.08     4 21.467   7.4043 0.0006567 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean    SE df lower.CL upper.CL
##  472      12.9 0.871 11     11.0     14.9
##  579      13.5 0.871 11     11.6     15.4
##  850      16.2 0.871 11     14.3     18.1
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean    SE df lower.CL upper.CL .group
##  850      16.2 0.871 11     14.3     18.1  a    
##  579      13.5 0.871 11     11.6     15.4   b   
##  472      12.9 0.871 11     11.0     14.9   b   
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean        SE      df lower.CL upper.CL .group
## 1    850 16.19983 0.8706956 11.0358 14.28420 18.11546     a 
## 2    579 13.52797 0.8706956 11.0358 11.61234 15.44360      b
## 3    472 12.94841 0.8706956 11.0358 11.03278 14.86404      b

## precip = 472:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        7.05 1.41 26.5    4.145     9.95
##  EA        7.87 1.41 26.5    4.968    10.77
##  NP       23.93 1.41 26.5   21.024    26.83
## 
## precip = 579:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        3.74 1.41 26.5    0.837     6.64
##  EA        7.37 1.41 26.5    4.469    10.27
##  NP       29.47 1.41 26.5   26.569    32.37
## 
## precip = 850:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        7.38 1.41 26.5    4.474    10.28
##  EA        6.05 1.41 26.5    3.145     8.95
##  NP       35.18 1.41 26.5   32.272    38.08
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP       23.93 1.41 26.5   21.024    26.83  a    
##  EA        7.87 1.41 26.5    4.968    10.77   b   
##  AG        7.05 1.41 26.5    4.145     9.95   b   
## 
## precip = 579:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP       29.47 1.41 26.5   26.569    32.37  a    
##  EA        7.37 1.41 26.5    4.469    10.27   b   
##  AG        3.74 1.41 26.5    0.837     6.64   b   
## 
## precip = 850:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP       35.18 1.41 26.5   32.272    38.08  a    
##  AG        7.38 1.41 26.5    4.474    10.28   b   
##  EA        6.05 1.41 26.5    3.145     8.95   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip    lsmean       SE       df   lower.CL  upper.CL .group
## 1      NP    472 23.927095 1.413488 26.49604 21.0242733 26.829917     a 
## 2      EA    472  7.870503 1.413488 26.49604  4.9676812 10.773325      b
## 3      AG    472  7.047637 1.413488 26.49604  4.1448147  9.950459      b
## 4      NP    579 29.471810 1.413488 26.49604 26.5689884 32.374632     a 
## 5      EA    579  7.371796 1.413488 26.49604  4.4689742 10.274618      b
## 6      AG    579  3.740303 1.413488 26.49604  0.8374805  6.643124      b
## 8      NP    850 35.175205 1.413488 26.49604 32.2723830 38.078027     a 
## 7      AG    850  7.376330 1.413488 26.49604  4.4735079 10.279152      b
## 9      EA    850  6.047956 1.413488 26.49604  3.1451338  8.950778      b
##   precip landuse    lsmean       SE       df   lower.CL  upper.CL .group
## 1    472      AG  7.047637 1.413488 26.49604  4.1448147  9.950459      b
## 2    472      EA  7.870503 1.413488 26.49604  4.9676812 10.773325      b
## 3    472      NP 23.927095 1.413488 26.49604 21.0242733 26.829917     a 
## 4    579      AG  3.740303 1.413488 26.49604  0.8374805  6.643124      b
## 5    579      EA  7.371796 1.413488 26.49604  4.4689742 10.274618      b
## 6    579      NP 29.471810 1.413488 26.49604 26.5689884 32.374632     a 
## 7    850      AG  7.376330 1.413488 26.49604  4.4735079 10.279152      b
## 8    850      EA  6.047956 1.413488 26.49604  3.1451338  8.950778      b
## 9    850      NP 35.175205 1.413488 26.49604 32.2723830 38.078027     a 
##    location n      mean         sd         se
## 1   Tribune 4  7.047637 2.90549809 1.45274904
## 2   Tribune 4  7.870503 1.68043167 0.84021583
## 3   Tribune 4 23.927095 3.21440289 1.60720145
## 4      Hays 4  3.740303 0.35020204 0.17510102
## 5      Hays 4  7.371796 0.86049578 0.43024789
## 6      Hays 4 29.471810 2.20097011 1.10048505
## 7 Manhattan 4  7.376330 0.07421987 0.03710993
## 8 Manhattan 4  6.047956 0.51185988 0.25592994
## 9 Manhattan 4 35.175205 6.66090900 3.33045450

2.7 Phosphodiesterase

2.7.1 0-5 cm L+P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse         819.72  409.86     2    30  14.433 4.062e-05 ***
## precip         1582.48 1582.48     1    30  55.727 2.549e-08 ***
## landuse:precip   74.62   37.31     2    30   1.314    0.2838    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF   DenDF  F value    Pr(>F)    
## landuse        14835.3  7417.6     2 20.4399 359.6981 < 2.2e-16 ***
## precip          1377.0   688.5     2  8.9759  33.3867 6.963e-05 ***
## landuse:precip   307.1    76.8     4 20.4399   3.7232   0.01975 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        15.4 1.39 21.3     12.5     18.2
##  EA        19.5 1.39 21.3     16.6     22.4
##  NP        60.3 1.39 21.3     57.4     63.2
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP        60.3 1.39 21.3     57.4     63.2  a    
##  EA        19.5 1.39 21.3     16.6     22.4   b   
##  AG        15.4 1.39 21.3     12.5     18.2    c  
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse   lsmean       SE       df lower.CL upper.CL .group
## 1      NP 60.32737 1.387609 21.26087 57.44383 63.21090    a  
## 2      EA 19.47552 1.387609 21.26087 16.59198 22.35906     b 
## 3      AG 15.35040 1.387609 21.26087 12.46687 18.23394      c

##  precip lsmean   SE   df lower.CL upper.CL
##  472      24.2 1.45 11.1     21.0     27.4
##  579      30.5 1.45 11.1     27.4     33.7
##  850      40.4 1.45 11.1     37.2     43.6
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean   SE   df lower.CL upper.CL .group
##  850      40.4 1.45 11.1     37.2     43.6  a    
##  579      30.5 1.45 11.1     27.4     33.7   b   
##  472      24.2 1.45 11.1     21.0     27.4    c  
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean       SE      df lower.CL upper.CL .group
## 1    850 40.42103 1.446041 11.0832 37.24122 43.60083    a  
## 2    579 30.54402 1.446041 11.0832 27.36422 33.72383     b 
## 3    472 24.18824 1.446041 11.0832 21.00844 27.36804      c

2.7.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse         205.01  102.50     2 25.987  3.7910  0.035922 *  
## precip         1638.23 1638.23     1 29.954 60.5880 1.112e-08 ***
## landuse:precip  420.44  210.22     2 25.483  7.7748  0.002312 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        3484.2 1742.10     2 24.626 107.858 6.563e-13 ***
## precip         1652.1  826.06     2 21.224  51.144 7.640e-09 ***
## landuse:precip  766.1  191.52     4 23.732  11.858 1.953e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        15.6 1.36 10.1    12.58     18.6
##  EA        11.5 1.27 19.2     8.89     14.2
##  NP        34.2 1.27 19.2    31.55     36.9
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP        34.2 1.27 19.2    31.55     36.9  a    
##  AG        15.6 1.36 10.1    12.58     18.6   b   
##  EA        11.5 1.27 19.2     8.89     14.2    c  
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse   lsmean       SE       df  lower.CL upper.CL .group
## 2      NP 34.21412 1.272457 19.16915 31.552430 36.87581    a  
## 1      AG 15.60217 1.355610 10.05137 12.583769 18.62056     b 
## 3      EA 11.54995 1.272457 19.16915  8.888262 14.21165      c

##  precip lsmean   SE   df lower.CL upper.CL
##  472      12.5 1.27 19.2      9.8     15.1
##  579      19.0 1.36 10.1     16.0     22.1
##  850      29.9 1.36 10.1     26.9     32.9
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean   SE   df lower.CL upper.CL .group
##  850      29.9 1.36 10.1     26.9     32.9  a    
##  579      19.0 1.36 10.1     16.0     22.1   b   
##  472      12.5 1.27 19.2      9.8     15.1    c  
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean       SE       df  lower.CL upper.CL .group
## 1    850 29.87663 1.355610 10.05137 26.858234 32.89503    a  
## 2    579 19.03206 1.355610 10.05137 16.013660 22.05045     b 
## 3    472 12.45756 1.272457 19.16915  9.795863 15.11925      c

## precip = 472:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        9.32 2.13 25.6     4.94     13.7
##  EA        8.57 2.13 25.6     4.19     12.9
##  NP       19.49 2.13 25.6    15.11     23.9
## 
## precip = 579:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        8.34 2.13 25.6     3.96     12.7
##  EA       11.50 2.13 25.6     7.12     15.9
##  NP       37.26 2.13 25.6    32.88     41.6
## 
## precip = 850:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG       29.15 2.13 25.6    24.77     33.5
##  EA       14.59 2.13 25.6    10.21     19.0
##  NP       45.90 2.13 25.6    41.52     50.3
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP       19.49 2.13 25.6    15.11     23.9  a    
##  AG        9.32 2.13 25.6     4.94     13.7   b   
##  EA        8.57 2.13 25.6     4.19     12.9   b   
## 
## precip = 579:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP       37.26 2.13 25.6    32.88     41.6  a    
##  EA       11.50 2.13 25.6     7.12     15.9   b   
##  AG        8.34 2.13 25.6     3.96     12.7   b   
## 
## precip = 850:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP       45.90 2.13 25.6    41.52     50.3  a    
##  AG       29.15 2.13 25.6    24.77     33.5   b   
##  EA       14.59 2.13 25.6    10.21     19.0    c  
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip    lsmean       SE       df  lower.CL upper.CL .group
## 2      NP    472 19.488273 2.128294 25.55399 15.109782 23.86676     a 
## 1      AG    472  9.316488 2.128294 25.55399  4.937997 13.69498      b
## 3      EA    472  8.567905 2.128294 25.55399  4.189414 12.94640      b
## 4      NP    579 37.257613 2.128294 25.55399 32.879123 41.63610     a 
## 5      EA    579 11.496888 2.128294 25.55399  7.118398 15.87538      b
## 6      AG    579  8.341668 2.128294 25.55399  3.963178 12.72016      b
## 8      NP    850 45.896480 2.128294 25.55399 41.517990 50.27497    a  
## 7      AG    850 29.148341 2.128294 25.55399 24.769850 33.52683     b 
## 9      EA    850 14.585071 2.128294 25.55399 10.206580 18.96356      c
##   precip landuse    lsmean       SE       df  lower.CL upper.CL .group
## 1    472      AG  9.316488 2.128294 25.55399  4.937997 13.69498      b
## 2    472      EA  8.567905 2.128294 25.55399  4.189414 12.94640      b
## 3    472      NP 19.488273 2.128294 25.55399 15.109782 23.86676     a 
## 4    579      AG  8.341668 2.128294 25.55399  3.963178 12.72016      b
## 5    579      EA 11.496888 2.128294 25.55399  7.118398 15.87538      b
## 6    579      NP 37.257613 2.128294 25.55399 32.879123 41.63610     a 
## 7    850      AG 29.148341 2.128294 25.55399 24.769850 33.52683     b 
## 8    850      EA 14.585071 2.128294 25.55399 10.206580 18.96356      c
## 9    850      NP 45.896480 2.128294 25.55399 41.517990 50.27497    a  
##    location n      mean       sd        se
## 1   Tribune 4  9.428216 4.768013 2.3840067
## 2   Tribune 4 10.813381 5.448170 2.7240849
## 3   Tribune 4 52.323118 5.650002 2.8250010
## 4      Hays 4  9.626549 1.965058 0.9825288
## 5      Hays 4 23.412187 6.266309 3.1331544
## 6      Hays 4 58.593335 4.721202 2.3606008
## 7 Manhattan 4 26.996445 3.331724 1.6658618
## 8 Manhattan 4 24.200992 1.456778 0.7283892
## 9 Manhattan 4 70.065644 5.976002 2.9880011

2.7.3 10-15 cm L*P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value  Pr(>F)  
## landuse        327.34  163.67     2    30  3.7784 0.03440 *
## precip         254.75  254.75     1    30  5.8810 0.02154 *
## landuse:precip 356.95  178.47     2    30  4.1201 0.02624 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        1749.81  874.90     2    27 31.2774 9.337e-08 ***
## precip          281.36  140.68     2    27  5.0292 0.0139137 *  
## landuse:precip  874.60  218.65     4    27  7.8166 0.0002549 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        15.6 1.53 24.3     12.5     18.8
##  EA        13.7 1.53 24.3     10.6     16.9
##  NP        29.4 1.53 24.3     26.2     32.5
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP        29.4 1.53 24.3     26.2     32.5  a    
##  AG        15.6 1.53 24.3     12.5     18.8   b   
##  EA        13.7 1.53 24.3     10.6     16.9   b   
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse   lsmean       SE   df lower.CL upper.CL .group
## 2      NP 29.37031 1.526772 24.3 26.22126 32.51935     a 
## 1      AG 15.62377 1.526772 24.3 12.47472 18.77281      b
## 3      EA 13.72205 1.526772 24.3 10.57301 16.87110      b

##  precip lsmean   SE   df lower.CL upper.CL
##  472      16.0 1.53 13.5     12.7     19.3
##  579      19.8 1.53 13.5     16.6     23.1
##  850      22.9 1.53 13.5     19.6     26.1
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean   SE   df lower.CL upper.CL .group
##  850      22.9 1.53 13.5     19.6     26.1  a    
##  579      19.8 1.53 13.5     16.6     23.1  ab   
##  472      16.0 1.53 13.5     12.7     19.3   b   
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean       SE       df  lower.CL upper.CL .group
## 1    850 29.87663 1.355610 10.05137 26.858234 32.89503    a  
## 2    579 19.03206 1.355610 10.05137 16.013660 22.05045     b 
## 3    472 12.45756 1.272457 19.16915  9.795863 15.11925      c

## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG       13.82 2.64 27     8.39     19.2
##  EA       12.84 2.64 27     7.42     18.3
##  NP       21.41 2.64 27    15.98     26.8
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        7.55 2.64 27     2.12     13.0
##  EA       17.68 2.64 27    12.25     23.1
##  NP       34.29 2.64 27    28.86     39.7
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG       25.51 2.64 27    20.08     30.9
##  EA       10.64 2.64 27     5.22     16.1
##  NP       32.42 2.64 27    26.99     37.8
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP       21.41 2.64 27    15.98     26.8  a    
##  AG       13.82 2.64 27     8.39     19.2  ab   
##  EA       12.84 2.64 27     7.42     18.3   b   
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP       34.29 2.64 27    28.86     39.7  a    
##  EA       17.68 2.64 27    12.25     23.1   b   
##  AG        7.55 2.64 27     2.12     13.0    c  
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP       32.42 2.64 27    26.99     37.8  a    
##  AG       25.51 2.64 27    20.08     30.9  a    
##  EA       10.64 2.64 27     5.22     16.1   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip   lsmean       SE df  lower.CL upper.CL .group
## 2      NP    472 21.40554 2.644448 27 15.979580 26.83150     a 
## 1      AG    472 13.81916 2.644448 27  8.393198 19.24511     ab
## 3      EA    472 12.84488 2.644448 27  7.418923 18.27084      b
## 4      NP    579 34.28563 2.644448 27 28.859670 39.71159    a  
## 5      EA    579 17.68023 2.644448 27 12.254271 23.10619     b 
## 6      AG    579  7.54616 2.644448 27  2.120202 12.97212      c
## 8      NP    850 32.41976 2.644448 27 26.993800 37.84572     a 
## 7      AG    850 25.50598 2.644448 27 20.080025 30.93194     a 
## 9      EA    850 10.64105 2.644448 27  5.215088 16.06700      b

2.8 Protein

2.8.1 0-5 cm P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value   Pr(>F)   
## landuse         9.860   4.930     2    30  1.0907 0.348949   
## precip         55.397  55.397     1    30 12.2561 0.001473 **
## landuse:precip  7.114   3.557     2    30  0.7869 0.464425   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF   DenDF F value    Pr(>F)    
## landuse        217.444 108.722     2 19.1466  72.152 1.215e-09 ***
## precip          44.081  22.041     2  7.0513  14.627  0.003096 ** 
## landuse:precip  90.177  22.544     4 19.1466  14.961 1.058e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean    SE   df lower.CL upper.CL
##  472      7.53 0.421 9.91     6.59     8.47
##  579      5.68 0.421 9.91     4.74     6.61
##  850      4.32 0.421 9.91     3.39     5.26
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean    SE   df lower.CL upper.CL .group
##  472      7.53 0.421 9.91     6.59     8.47  a    
##  579      5.68 0.421 9.91     4.74     6.61   b   
##  850      4.32 0.421 9.91     3.39     5.26    c  
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean        SE       df lower.CL upper.CL .group
## 3    472 7.530212 0.4206309 9.909329 6.591824 8.468600    a  
## 2    579 5.675769 0.4206309 9.909329 4.737382 6.614157     b 
## 1    850 4.324931 0.4206309 9.909329 3.386543 5.263319      c

2.8.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF F value   Pr(>F)    
## landuse         9.2553  4.6276     2 22.952  5.9863 0.008087 ** 
## precip          1.9296  1.9296     1 29.178  2.4961 0.124910    
## landuse:precip 16.7774  8.3887     2 22.286 10.8516 0.000512 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF   DenDF F value    Pr(>F)    
## landuse        28.6485 14.3242     2 21.0171 22.3799 6.209e-06 ***
## precip          8.0651  4.0325     2  9.6116  6.3003   0.01785 *  
## landuse:precip 11.6571  2.9143     4 17.1425  4.5532   0.01094 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean    SE    df lower.CL upper.CL
##  AG        2.54 0.392  6.84     1.61     3.47
##  EA        2.93 0.330 10.75     2.20     3.66
##  NP        4.69 0.330 10.75     3.96     5.41
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean    SE    df lower.CL upper.CL .group
##  NP        4.69 0.330 10.75     3.96     5.41  a    
##  EA        2.93 0.330 10.75     2.20     3.66   b   
##  AG        2.54 0.392  6.84     1.61     3.47   b   
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse   lsmean        SE        df lower.CL upper.CL .group
## 1      NP 4.686371 0.3299719 10.747280 3.958018 5.414723     a 
## 2      EA 2.929352 0.3299719 10.747280 2.200999 3.657704      b
## 3      AG 2.536165 0.3915567  6.835987 1.605758 3.466572      b

## precip = 472:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        4.37 0.51 16.5   3.2935     5.45
##  EA        3.60 0.51 16.5   2.5216     4.68
##  NP        5.08 0.51 16.5   4.0000     6.16
## 
## precip = 579:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        2.22 0.51 16.5   1.1406     3.30
##  EA        2.52 0.51 16.5   1.4426     3.60
##  NP        3.76 0.51 16.5   2.6852     4.84
## 
## precip = 850:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        1.02 0.51 16.5  -0.0606     2.10
##  EA        2.67 0.51 16.5   1.5889     3.75
##  NP        5.22 0.51 16.5   4.1389     6.30
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP        5.08 0.51 16.5   4.0000     6.16  a    
##  AG        4.37 0.51 16.5   3.2935     5.45  ab   
##  EA        3.60 0.51 16.5   2.5216     4.68   b   
## 
## precip = 579:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP        3.76 0.51 16.5   2.6852     4.84  a    
##  EA        2.52 0.51 16.5   1.4426     3.60   b   
##  AG        2.22 0.51 16.5   1.1406     3.30   b   
## 
## precip = 850:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP        5.22 0.51 16.5   4.1389     6.30  a    
##  EA        2.67 0.51 16.5   1.5889     3.75   b   
##  AG        1.02 0.51 16.5  -0.0606     2.10    c  
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip   lsmean        SE       df    lower.CL upper.CL .group
## 2      NP    472 5.078364 0.5098937 16.49031  4.00004423 6.156684     a 
## 1      AG    472 4.371856 0.5098937 16.49031  3.29353629 5.450176     ab
## 3      EA    472 3.599918 0.5098937 16.49031  2.52159787 4.678238      b
## 4      NP    579 3.763522 0.5098937 16.49031  2.68520156 4.841842     a 
## 5      EA    579 2.520902 0.5098937 16.49031  1.44258197 3.599222      b
## 6      AG    579 2.218873 0.5098937 16.49031  1.14055311 3.297193      b
## 7      NP    850 5.217226 0.5098937 16.49031  4.13890632 6.295546    a  
## 8      EA    850 2.667235 0.5098937 16.49031  1.58891498 3.745555     b 
## 9      AG    850 1.017765 0.5098937 16.49031 -0.06055468 2.096085      c
##   precip landuse   lsmean        SE       df    lower.CL upper.CL .group
## 1    472      AG 4.371856 0.5098937 16.49031  3.29353629 5.450176     ab
## 2    472      EA 3.599918 0.5098937 16.49031  2.52159787 4.678238      b
## 3    472      NP 5.078364 0.5098937 16.49031  4.00004423 6.156684     a 
## 4    579      AG 2.218873 0.5098937 16.49031  1.14055311 3.297193      b
## 5    579      EA 2.520902 0.5098937 16.49031  1.44258197 3.599222      b
## 6    579      NP 3.763522 0.5098937 16.49031  2.68520156 4.841842     a 
## 7    850      AG 1.017765 0.5098937 16.49031 -0.06055468 2.096085      c
## 8    850      EA 2.667235 0.5098937 16.49031  1.58891498 3.745555     b 
## 9    850      NP 5.217226 0.5098937 16.49031  4.13890632 6.295546    a  
##    location n     mean        sd         se
## 1   Tribune 4 4.371856 0.8086970 0.40434851
## 2   Tribune 4 3.599918 1.2868995 0.64344973
## 3   Tribune 4 5.078364 1.2988885 0.64944423
## 4      Hays 4 2.218873 0.3740833 0.18704163
## 5      Hays 4 2.520902 1.0647827 0.53239133
## 6      Hays 4 3.763522 0.1920875 0.09604373
## 7 Manhattan 4 1.017765 0.1283554 0.06417771
## 8 Manhattan 4 2.667235 0.2571065 0.12855326
## 9 Manhattan 4 5.217226 1.6470885 0.82354426

2.8.3 10-15 cm

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq  Mean Sq NumDF  DenDF F value Pr(>F)
## landuse        0.51448 0.257239     2 20.736  0.6189 0.5482
## precip         0.02700 0.026997     1 21.355  0.0650 0.8013
## landuse:precip 0.52772 0.263862     2 20.736  0.6349 0.5400

2.9 Permanganate Oxidizable Organic Carbon

2.9.1 0-5 cm L*P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        21874.6 10937.3     2 21.585  12.794 0.0002165 ***
## precip          9475.2  9475.2     1 26.513  11.084 0.0025662 ** 
## landuse:precip 30249.6 15124.8     2 21.585  17.693 2.825e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse         11652  5825.9     2    27  14.275 5.891e-05 ***
## precip          34811 17405.3     2    27  42.648 4.401e-09 ***
## landuse:precip  39551  9887.7     4    27  24.228 1.347e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        1409 5.83 24.3     1397     1421
##  EA        1453 5.83 24.3     1441     1465
##  NP        1433 5.83 24.3     1421     1445
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  EA        1453 5.83 24.3     1441     1465  a    
##  NP        1433 5.83 24.3     1421     1445   b   
##  AG        1409 5.83 24.3     1397     1421    c  
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse   lsmean       SE   df lower.CL upper.CL .group
## 1      EA 1453.179 5.831805 24.3 1441.150 1465.207    a  
## 3      NP 1432.897 5.831805 24.3 1420.868 1444.925     b 
## 2      AG 1409.156 5.831805 24.3 1397.128 1421.185      c

##  precip lsmean   SE   df lower.CL upper.CL
##  472      1398 5.83 13.5     1385     1410
##  579      1473 5.83 13.5     1460     1485
##  850      1425 5.83 13.5     1412     1437
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean   SE   df lower.CL upper.CL .group
##  579      1473 5.83 13.5     1460     1485  a    
##  850      1425 5.83 13.5     1412     1437   b   
##  472      1398 5.83 13.5     1385     1410    c  
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean       SE   df lower.CL upper.CL .group
## 1    579 1472.798 5.831805 13.5 1460.247 1485.350    a  
## 3    850 1424.867 5.831805 13.5 1412.316 1437.419     b 
## 2    472 1397.566 5.831805 13.5 1385.014 1410.118      c

## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        1372 10.1 27     1351     1393
##  EA        1390 10.1 27     1369     1410
##  NP        1431 10.1 27     1410     1452
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        1488 10.1 27     1467     1509
##  EA        1463 10.1 27     1442     1484
##  NP        1468 10.1 27     1447     1488
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        1368 10.1 27     1347     1388
##  EA        1507 10.1 27     1486     1528
##  NP        1400 10.1 27     1379     1421
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP        1431 10.1 27     1410     1452  a    
##  EA        1390 10.1 27     1369     1410   b   
##  AG        1372 10.1 27     1351     1393   b   
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  AG        1488 10.1 27     1467     1509  a    
##  NP        1468 10.1 27     1447     1488  a    
##  EA        1463 10.1 27     1442     1484  a    
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  EA        1507 10.1 27     1486     1528  a    
##  NP        1400 10.1 27     1379     1421   b   
##  AG        1368 10.1 27     1347     1388    c  
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip   lsmean       SE df lower.CL upper.CL .group
## 1      NP    472 1430.925 10.10098 27 1410.199 1451.650     a 
## 2      EA    472 1389.748 10.10098 27 1369.022 1410.473      b
## 3      AG    472 1372.025 10.10098 27 1351.300 1392.751      b
## 5      AG    579 1487.880 10.10098 27 1467.154 1508.605      a
## 6      NP    579 1467.616 10.10098 27 1446.890 1488.341      a
## 4      EA    579 1462.900 10.10098 27 1442.174 1483.625      a
## 7      EA    850 1506.888 10.10098 27 1486.163 1527.614    a  
## 9      NP    850 1400.150 10.10098 27 1379.425 1420.876     b 
## 8      AG    850 1367.564 10.10098 27 1346.838 1388.289      c
##   precip landuse   lsmean       SE df lower.CL upper.CL .group  location n
## 1    472      AG 1372.025 10.10098 27 1351.300 1392.751      b   Tribune 4
## 2    472      EA 1389.748 10.10098 27 1369.022 1410.473      b   Tribune 4
## 3    472      NP 1430.925 10.10098 27 1410.199 1451.650     a    Tribune 4
## 4    579      AG 1487.880 10.10098 27 1467.154 1508.605      a      Hays 4
## 5    579      EA 1462.900 10.10098 27 1442.174 1483.625      a      Hays 4
## 6    579      NP 1467.616 10.10098 27 1446.890 1488.341      a      Hays 4
## 7    850      AG 1367.564 10.10098 27 1346.838 1388.289      c Manhattan 4
## 8    850      EA 1506.888 10.10098 27 1486.163 1527.614    a   Manhattan 4
## 9    850      NP 1400.150 10.10098 27 1379.425 1420.876     b  Manhattan 4
##       mean        sd        se
## 1 1372.025 22.307563 11.153782
## 2 1389.748 25.207102 12.603551
## 3 1430.925 18.945338  9.472669
## 4 1487.880  4.781973  2.390986
## 5 1462.900 15.051187  7.525593
## 6 1467.616 20.436648 10.218324
## 7 1367.564 15.274205  7.637102
## 8 1506.888 12.505616  6.252808
## 9 1400.150 33.531615 16.765807

2.9.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse         38797 19398.5     2    30 10.6366 0.0003224 ***
## precip           1674  1674.1     1    30  0.9179 0.3456774    
## landuse:precip  54061 27030.3     2    30 14.8213 3.338e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse         14172    7086     2    27  32.198 7.094e-08 ***
## precip          40129   20065     2    27  91.171 9.814e-13 ***
## landuse:precip  64376   16094     4    27  73.129 4.350e-14 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        1407 4.28 14.8     1398     1416
##  EA        1453 4.28 24.8     1444     1462
##  NP        1416 4.28 24.8     1408     1425
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  EA        1453 4.28 24.8     1444     1462  a    
##  NP        1416 4.28 24.8     1408     1425   b   
##  AG        1407 4.28 14.8     1398     1416   b   
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse   lsmean       SE    df lower.CL upper.CL .group
## 1      EA 1453.039 4.282481 24.75 1444.214 1461.863     a 
## 3      NP 1416.333 4.282481 24.75 1407.509 1425.158      b
## 2      AG 1407.099 4.282481 14.85 1397.963 1416.235      b

## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        1375 7.42 27     1359     1390
##  EA        1375 7.42 27     1360     1391
##  NP        1409 7.42 27     1394     1425
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        1491 7.42 27     1476     1506
##  EA        1453 7.42 27     1438     1468
##  NP        1460 7.42 27     1445     1475
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        1356 7.42 27     1341     1371
##  EA        1531 7.42 27     1516     1546
##  NP        1380 7.42 27     1364     1395
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP        1409 7.42 27     1394     1425  a    
##  EA        1375 7.42 27     1360     1391   b   
##  AG        1375 7.42 27     1359     1390   b   
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  AG        1491 7.42 27     1476     1506  a    
##  NP        1460 7.42 27     1445     1475   b   
##  EA        1453 7.42 27     1438     1468   b   
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  EA        1531 7.42 27     1516     1546  a    
##  NP        1380 7.42 27     1364     1395   b   
##  AG        1356 7.42 27     1341     1371    c  
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip   lsmean       SE df lower.CL upper.CL .group
## 1      NP    472 1409.322 7.417474 27 1394.102 1424.541     a 
## 2      EA    472 1375.343 7.417474 27 1360.124 1390.563      b
## 3      AG    472 1374.584 7.417474 27 1359.365 1389.803      b
## 5      AG    579 1490.951 7.417474 27 1475.732 1506.170     a 
## 6      NP    579 1460.074 7.417474 27 1444.854 1475.293      b
## 4      EA    579 1452.924 7.417474 27 1437.704 1468.143      b
## 7      EA    850 1530.849 7.417474 27 1515.629 1546.068    a  
## 9      NP    850 1379.605 7.417474 27 1364.386 1394.824     b 
## 8      AG    850 1355.762 7.417474 27 1340.542 1370.981      c
##   precip landuse   lsmean       SE df lower.CL upper.CL .group  location n
## 1    472      AG 1374.584 7.417474 27 1359.365 1389.803      b   Tribune 4
## 2    472      EA 1375.343 7.417474 27 1360.124 1390.563      b   Tribune 4
## 3    472      NP 1409.322 7.417474 27 1394.102 1424.541     a    Tribune 4
## 4    579      AG 1490.951 7.417474 27 1475.732 1506.170     a       Hays 4
## 5    579      EA 1452.924 7.417474 27 1437.704 1468.143      b      Hays 4
## 6    579      NP 1460.074 7.417474 27 1444.854 1475.293      b      Hays 4
## 7    850      AG 1355.762 7.417474 27 1340.542 1370.981      c Manhattan 4
## 8    850      EA 1530.849 7.417474 27 1515.629 1546.068    a   Manhattan 4
## 9    850      NP 1379.605 7.417474 27 1364.386 1394.824     b  Manhattan 4
##       mean        sd        se
## 1 1374.584  5.397842  2.698921
## 2 1375.343 11.351088  5.675544
## 3 1409.322  7.388183  3.694092
## 4 1490.951 16.923184  8.461592
## 5 1452.924 20.115622 10.057811
## 6 1460.074 11.894890  5.947445
## 7 1355.762 18.293667  9.146833
## 8 1530.849 16.944881  8.472440
## 9 1379.605 17.714520  8.857260

2.9.3 10-15 cm L*P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse         23205   11602     2 22.612  23.518 2.994e-06 ***
## precip          19448   19448     1 24.069  39.421 1.702e-06 ***
## landuse:precip  36378   18189     2 22.612  36.869 7.633e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse         19507  9753.3     2 21.532  68.081 4.901e-10 ***
## precip          56085 28042.4     2 10.929 195.744 2.769e-09 ***
## landuse:precip  44618 11154.5     4 21.532  77.862 1.736e-12 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean    SE    df lower.CL upper.CL
##  AG        1414 3.557 22.76     1407     1422
##  EA        1459 3.557 22.76     1451     1466
##  NP        1406 3.557 22.76     1398     1413
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean    SE    df lower.CL upper.CL .group
##  EA        1459 3.557 22.76     1451     1466  a    
##  AG        1414 3.557 22.76     1407     1422   b   
##  NP        1406 3.557 22.76     1398     1413   b   
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse   lsmean      SE       df lower.CL upper.CL .group
## 3      EA 1458.766 3.55651 22.76111 1451.404 1466.127     a 
## 1      AG 1414.266 3.55651 22.76111 1406.905 1421.628      b
## 2      NP 1405.642 3.55651 22.76111 1398.281 1413.004      b

##  precip lsmean    SE   df lower.CL upper.CL
##  472      1380 3.636 12.1     1372     1387
##  579      1480 3.636 12.1     1472     1488
##  850      1419 3.636 12.1     1411     1427
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean    SE   df lower.CL upper.CL .group
##  579      1480 3.636 12.1     1472     1488  a    
##  850      1419 3.636 12.1     1411     1427   b   
##  472      1380 3.636 12.1     1372     1387    c  
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean       SE       df lower.CL upper.CL .group
## 1    579 1479.694 3.635528 12.09504 1471.780 1487.608    a  
## 3    850 1419.405 3.635528 12.09504 1411.491 1427.319     b 
## 2    472 1379.575 3.635528 12.09504 1371.661 1387.490      c

## precip = 472:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        1376 6.09 26.9     1363     1388
##  EA        1384 6.09 26.9     1372     1397
##  NP        1379 6.09 26.9     1366     1391
## 
## precip = 579:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        1503 6.09 26.9     1490     1515
##  EA        1472 6.09 26.9     1460     1485
##  NP        1464 6.09 26.9     1452     1477
## 
## precip = 850:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        1364 6.09 26.9     1352     1377
##  EA        1520 6.09 26.9     1507     1532
##  NP        1374 6.09 26.9     1362     1387
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  EA        1384 6.09 26.9     1372     1397  a    
##  NP        1379 6.09 26.9     1366     1391  a    
##  AG        1376 6.09 26.9     1363     1388  a    
## 
## precip = 579:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  AG        1503 6.09 26.9     1490     1515  a    
##  EA        1472 6.09 26.9     1460     1485   b   
##  NP        1464 6.09 26.9     1452     1477   b   
## 
## precip = 850:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  EA        1520 6.09 26.9     1507     1532  a    
##  NP        1374 6.09 26.9     1362     1387   b   
##  AG        1364 6.09 26.9     1352     1377   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip   lsmean       SE      df lower.CL upper.CL .group
## 1      EA    472 1384.425 6.090471 26.8725 1371.925 1396.924      a
## 3      NP    472 1378.523 6.090471 26.8725 1366.023 1391.022      a
## 2      AG    472 1375.779 6.090471 26.8725 1363.280 1388.278      a
## 6      AG    579 1502.843 6.090471 26.8725 1490.343 1515.342     a 
## 5      EA    579 1472.117 6.090471 26.8725 1459.618 1484.616      b
## 4      NP    579 1464.123 6.090471 26.8725 1451.624 1476.623      b
## 7      EA    850 1519.755 6.090471 26.8725 1507.256 1532.255     a 
## 9      NP    850 1374.281 6.090471 26.8725 1361.782 1386.781      b
## 8      AG    850 1364.178 6.090471 26.8725 1351.678 1376.677      b
##   precip landuse   lsmean       SE      df lower.CL upper.CL .group  location n
## 1    472      AG 1375.779 6.090471 26.8725 1363.280 1388.278      a   Tribune 4
## 2    472      EA 1384.425 6.090471 26.8725 1371.925 1396.924      a   Tribune 4
## 3    472      NP 1378.523 6.090471 26.8725 1366.023 1391.022      a   Tribune 4
## 4    579      AG 1502.843 6.090471 26.8725 1490.343 1515.342     a       Hays 4
## 5    579      EA 1472.117 6.090471 26.8725 1459.618 1484.616      b      Hays 4
## 6    579      NP 1464.123 6.090471 26.8725 1451.624 1476.623      b      Hays 4
## 7    850      AG 1364.178 6.090471 26.8725 1351.678 1376.677      b Manhattan 4
## 8    850      EA 1519.755 6.090471 26.8725 1507.256 1532.255     a  Manhattan 4
## 9    850      NP 1374.281 6.090471 26.8725 1361.782 1386.781      b Manhattan 4
##       mean        sd       se
## 1 1375.779 10.709758 5.354879
## 2 1384.425 14.531362 7.265681
## 3 1378.523 11.993383 5.996692
## 4 1502.843 11.077712 5.538856
## 5 1472.117 10.518321 5.259161
## 6 1464.123  7.976896 3.988448
## 7 1364.178 16.749666 8.374833
## 8 1519.755 10.743236 5.371618
## 9 1374.281 13.144265 6.572132

2.10 Soil Respiration

2.10.1 0-5 cm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value Pr(>F)
## landuse        3.0520  1.5260     2 19.819  0.6252 0.5454
## precip         4.5394  4.5394     1 29.553  1.8598 0.1829
## landuse:precip 5.4906  2.7453     2 19.819  1.1248 0.3446

2.10.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        6.1095 3.05476     2 22.985 16.4145 3.732e-05 ***
## precip         0.0704 0.07043     1 24.556  0.3785    0.5441    
## landuse:precip 6.2650 3.13250     2 22.754 16.8322 3.261e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        11.8739  5.9369     2 24.564  42.896 9.682e-09 ***
## precip         12.2047  6.1023     2 23.306  44.091 1.199e-08 ***
## landuse:precip  7.5323  1.8831     4 24.093  13.606 6.169e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean    SE   df lower.CL upper.CL
##  AG       0.686 0.112 13.0    0.443    0.929
##  EA       0.830 0.110 23.2    0.602    1.058
##  NP       1.973 0.110 23.2    1.745    2.201
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean    SE   df lower.CL upper.CL .group
##  NP       1.973 0.110 23.2    1.745    2.201  a    
##  EA       0.830 0.110 23.2    0.602    1.058   b   
##  AG       0.686 0.112 13.0    0.443    0.929   b   
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse    lsmean        SE       df  lower.CL  upper.CL .group
## 1      NP 1.9727342 0.1101649 23.22087 1.7449606 2.2005079     a 
## 2      EA 0.8298641 0.1101649 23.22087 0.6020905 1.0576377      b
## 3      AG 0.6859999 0.1123319 13.00457 0.4433303 0.9286695      b

## precip = 472:
##  landuse lsmean    SE   df lower.CL upper.CL
##  AG       0.229 0.189 26.9  -0.1583    0.617
##  EA       0.423 0.189 26.9   0.0357    0.811
##  NP       0.339 0.189 26.9  -0.0482    0.727
## 
## precip = 579:
##  landuse lsmean    SE   df lower.CL upper.CL
##  AG       0.715 0.189 26.9   0.3271    1.102
##  EA       1.501 0.189 26.9   1.1133    1.889
##  NP       2.908 0.189 26.9   2.5202    3.296
## 
## precip = 850:
##  landuse lsmean    SE   df lower.CL upper.CL
##  AG       1.114 0.189 26.9   0.7261    1.501
##  EA       0.565 0.189 26.9   0.1775    0.953
##  NP       2.671 0.189 26.9   2.2831    3.058
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean    SE   df lower.CL upper.CL .group
##  EA       0.423 0.189 26.9   0.0357    0.811  a    
##  NP       0.339 0.189 26.9  -0.0482    0.727  a    
##  AG       0.229 0.189 26.9  -0.1583    0.617  a    
## 
## precip = 579:
##  landuse lsmean    SE   df lower.CL upper.CL .group
##  NP       2.908 0.189 26.9   2.5202    3.296  a    
##  EA       1.501 0.189 26.9   1.1133    1.889   b   
##  AG       0.715 0.189 26.9   0.3271    1.102    c  
## 
## precip = 850:
##  landuse lsmean    SE   df lower.CL upper.CL .group
##  NP       2.671 0.189 26.9   2.2831    3.058  a    
##  AG       1.114 0.189 26.9   0.7261    1.501   b   
##  EA       0.565 0.189 26.9   0.1775    0.953    c  
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip    lsmean        SE       df    lower.CL  upper.CL .group
## 1      EA    472 0.4233481 0.1889066 26.87877  0.03566189 0.8110343      a
## 3      NP    472 0.3394918 0.1889066 26.87877 -0.04819445 0.7271780      a
## 2      AG    472 0.2294218 0.1889066 26.87877 -0.15826445 0.6171080      a
## 4      NP    579 2.9079069 0.1889066 26.87877  2.52022071 3.2955931    a  
## 5      EA    579 1.5010137 0.1889066 26.87877  1.11332753 1.8886999     b 
## 6      AG    579 0.7147885 0.1889066 26.87877  0.32710232 1.1024747      c
## 8      NP    850 2.6708041 0.1889066 26.87877  2.28311788 3.0584903    a  
## 7      AG    850 1.1137894 0.1889066 26.87877  0.72610319 1.5014756     b 
## 9      EA    850 0.5652306 0.1889066 26.87877  0.17754438 0.9529168      c
##   precip landuse    lsmean        SE       df    lower.CL  upper.CL .group
## 1    472      AG 0.2294218 0.1889066 26.87877 -0.15826445 0.6171080      a
## 2    472      EA 0.4233481 0.1889066 26.87877  0.03566189 0.8110343      a
## 3    472      NP 0.3394918 0.1889066 26.87877 -0.04819445 0.7271780      a
## 4    579      AG 0.7147885 0.1889066 26.87877  0.32710232 1.1024747      c
## 5    579      EA 1.5010137 0.1889066 26.87877  1.11332753 1.8886999     b 
## 6    579      NP 2.9079069 0.1889066 26.87877  2.52022071 3.2955931    a  
## 7    850      AG 1.1137894 0.1889066 26.87877  0.72610319 1.5014756     b 
## 8    850      EA 0.5652306 0.1889066 26.87877  0.17754438 0.9529168      c
## 9    850      NP 2.6708041 0.1889066 26.87877  2.28311788 3.0584903    a  
##    location n      mean         sd         se
## 1   Tribune 4 0.2294218 0.06529555 0.03264777
## 2   Tribune 4 0.4233481 0.28268711 0.14134355
## 3   Tribune 4 0.3394918 0.12564118 0.06282059
## 4      Hays 4 0.7147885 0.31239840 0.15619920
## 5      Hays 4 1.5010137 0.60769328 0.30384664
## 6      Hays 4 2.9079069 0.18136902 0.09068451
## 7 Manhattan 4 1.1137894 0.78011318 0.39005659
## 8 Manhattan 4 0.5652306 0.07773986 0.03886993
## 9 Manhattan 4 2.6708041 0.26688315 0.13344158

2.10.3 10-15 cm L*P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value   Pr(>F)   
## landuse        1.8994  0.9497     2    30  3.0116 0.064279 . 
## precip         3.8505  3.8505     1    30 12.2102 0.001499 **
## landuse:precip 3.6003  1.8002     2    30  5.7085 0.007927 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        9.2111  4.6055     2    27  75.650 8.567e-12 ***
## precip         7.8223  3.9112     2    27  64.244 5.438e-11 ***
## landuse:precip 7.4452  1.8613     4    27  30.574 1.135e-09 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean     SE   df lower.CL upper.CL
##  472     0.233 0.0712 13.5   0.0794    0.386
##  579     1.235 0.0712 13.5   1.0818    1.388
##  850     1.208 0.0712 13.5   1.0542    1.361
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean     SE   df lower.CL upper.CL .group
##  579     1.235 0.0712 13.5   1.0818    1.388  a    
##  850     1.208 0.0712 13.5   1.0542    1.361  a    
##  472     0.233 0.0712 13.5   0.0794    0.386   b   
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip    lsmean         SE   df   lower.CL  upper.CL .group
## 1    579 1.2350554 0.07122692 13.5 1.08175634 1.3883545     a 
## 3    850 1.2075208 0.07122692 13.5 1.05422174 1.3608199     a 
## 2    472 0.2327438 0.07122692 13.5 0.07944469 0.3860429      b

## precip = 472:
##  landuse lsmean    SE df lower.CL upper.CL
##  AG       0.128 0.123 27  -0.1250    0.381
##  EA       0.428 0.123 27   0.1752    0.681
##  NP       0.142 0.123 27  -0.1113    0.395
## 
## precip = 579:
##  landuse lsmean    SE df lower.CL upper.CL
##  AG       0.270 0.123 27   0.0167    0.523
##  EA       1.041 0.123 27   0.7880    1.294
##  NP       2.394 0.123 27   2.1411    2.647
## 
## precip = 850:
##  landuse lsmean    SE df lower.CL upper.CL
##  AG       0.936 0.123 27   0.6826    1.189
##  EA       0.426 0.123 27   0.1730    0.679
##  NP       2.261 0.123 27   2.0075    2.514
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean    SE df lower.CL upper.CL .group
##  EA       0.428 0.123 27   0.1752    0.681  a    
##  NP       0.142 0.123 27  -0.1113    0.395  a    
##  AG       0.128 0.123 27  -0.1250    0.381  a    
## 
## precip = 579:
##  landuse lsmean    SE df lower.CL upper.CL .group
##  NP       2.394 0.123 27   2.1411    2.647  a    
##  EA       1.041 0.123 27   0.7880    1.294   b   
##  AG       0.270 0.123 27   0.0167    0.523    c  
## 
## precip = 850:
##  landuse lsmean    SE df lower.CL upper.CL .group
##  NP       2.261 0.123 27   2.0075    2.514  a    
##  AG       0.936 0.123 27   0.6826    1.189   b   
##  EA       0.426 0.123 27   0.1730    0.679    c  
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip    lsmean        SE df    lower.CL  upper.CL .group
## 1      EA    472 0.4282920 0.1233687 27  0.17516042 0.6814235      a
## 3      NP    472 0.1417868 0.1233687 27 -0.11134478 0.3949183      a
## 2      AG    472 0.1281525 0.1233687 27 -0.12497902 0.3812841      a
## 4      NP    579 2.3942570 0.1233687 27  2.14112543 2.6473886    a  
## 5      EA    579 1.0410972 0.1233687 27  0.78796563 1.2942288     b 
## 6      AG    579 0.2698121 0.1233687 27  0.01668053 0.5229437      c
## 8      NP    850 2.2606769 0.1233687 27  2.00754531 2.5138084    a  
## 7      AG    850 0.9357511 0.1233687 27  0.68261950 1.1888826     b 
## 9      EA    850 0.4261345 0.1233687 27  0.17300297 0.6792661      c
##   precip landuse    lsmean        SE df    lower.CL  upper.CL .group  location
## 1    472      AG 0.1281525 0.1233687 27 -0.12497902 0.3812841      a   Tribune
## 2    472      EA 0.4282920 0.1233687 27  0.17516042 0.6814235      a   Tribune
## 3    472      NP 0.1417868 0.1233687 27 -0.11134478 0.3949183      a   Tribune
## 4    579      AG 0.2698121 0.1233687 27  0.01668053 0.5229437      c      Hays
## 5    579      EA 1.0410972 0.1233687 27  0.78796563 1.2942288     b       Hays
## 6    579      NP 2.3942570 0.1233687 27  2.14112543 2.6473886    a        Hays
## 7    850      AG 0.9357511 0.1233687 27  0.68261950 1.1888826     b  Manhattan
## 8    850      EA 0.4261345 0.1233687 27  0.17300297 0.6792661      c Manhattan
## 9    850      NP 2.2606769 0.1233687 27  2.00754531 2.5138084    a   Manhattan
##   n      mean         sd         se
## 1 4 0.1281525 0.02993104 0.01496552
## 2 4 0.4282920 0.03071247 0.01535623
## 3 4 0.1417868 0.05674964 0.02837482
## 4 4 0.2698121 0.03592057 0.01796028
## 5 4 1.0410972 0.17378576 0.08689288
## 6 4 2.3942570 0.17822418 0.08911209
## 7 4 0.9357511 0.29427190 0.14713595
## 8 4 0.4261345 0.12775264 0.06387632
## 9 4 2.2606769 0.61374400 0.30687200

3 Chemical

3.1 NH4+

3.1.1 0-5 cm L*P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        1.2012  0.6006     2    29  1.8387 0.1770834    
## precip         4.3932  4.3932     1    29 13.4495 0.0009791 ***
## landuse:precip 0.8080  0.4040     2    29  1.2368 0.3051679    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        0.7304  0.3652     2    26  1.3186 0.2848213    
## precip         6.3724  3.1862     2    26 11.5033 0.0002638 ***
## landuse:precip 1.0481  0.2620     4    26  0.9460 0.4533073    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean    SE df lower.CL upper.CL
##  AG       1.469 0.263 26   0.9277    2.009
##  EA       0.655 0.263 26   0.1142    1.196
##  NP       1.306 0.263 26   0.7656    1.847
## 
## precip = 579:
##  landuse lsmean    SE df lower.CL upper.CL
##  AG       0.569 0.312 26  -0.0712    1.209
##  EA       0.230 0.263 26  -0.3108    0.771
##  NP       0.223 0.263 26  -0.3179    0.764
## 
## precip = 850:
##  landuse lsmean    SE df lower.CL upper.CL
##  AG       0.117 0.263 26  -0.4239    0.658
##  EA       0.206 0.263 26  -0.3344    0.747
##  NP       0.205 0.263 26  -0.3363    0.745
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean    SE df lower.CL upper.CL .group
##  AG       1.469 0.263 26   0.9277    2.009  a    
##  NP       1.306 0.263 26   0.7656    1.847  ab   
##  EA       0.655 0.263 26   0.1142    1.196   b   
## 
## precip = 579:
##  landuse lsmean    SE df lower.CL upper.CL .group
##  AG       0.569 0.312 26  -0.0712    1.209  a    
##  EA       0.230 0.263 26  -0.3108    0.771  a    
##  NP       0.223 0.263 26  -0.3179    0.764  a    
## 
## precip = 850:
##  landuse lsmean    SE df lower.CL upper.CL .group
##  EA       0.206 0.263 26  -0.3344    0.747  a    
##  NP       0.205 0.263 26  -0.3363    0.745  a    
##  AG       0.117 0.263 26  -0.4239    0.658  a    
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip    lsmean        SE df    lower.CL  upper.CL .group
## 2      AG    472 1.4685684 0.2631463 26  0.92766340 2.0094735     a 
## 3      NP    472 1.3064748 0.2631463 26  0.76556978 1.8473799     ab
## 1      EA    472 0.6551187 0.2631463 26  0.11421365 1.1960237      b
## 6      AG    579 0.5691327 0.3115102 26 -0.07118574 1.2094511      a
## 5      EA    579 0.2301392 0.2631463 26 -0.31076583 0.7710443      a
## 4      NP    579 0.2229670 0.2631463 26 -0.31793809 0.7638720      a
## 7      EA    850 0.2064918 0.2631463 26 -0.33441324 0.7473969      a
## 9      NP    850 0.2045852 0.2631463 26 -0.33631982 0.7454903      a
## 8      AG    850 0.1170136 0.2631463 26 -0.42389143 0.6579187      a
##   precip landuse    lsmean        SE df    lower.CL  upper.CL .group  location
## 1    472      AG 1.4685684 0.2631463 26  0.92766340 2.0094735     a    Tribune
## 2    472      EA 0.6551187 0.2631463 26  0.11421365 1.1960237      b   Tribune
## 3    472      NP 1.3064748 0.2631463 26  0.76556978 1.8473799     ab   Tribune
## 4    579      AG 0.5691327 0.3115102 26 -0.07118574 1.2094511      a      Hays
## 5    579      EA 0.2301392 0.2631463 26 -0.31076583 0.7710443      a      Hays
## 6    579      NP 0.2229670 0.2631463 26 -0.31793809 0.7638720      a      Hays
## 7    850      AG 0.1170136 0.2631463 26 -0.42389143 0.6579187      a Manhattan
## 8    850      EA 0.2064918 0.2631463 26 -0.33441324 0.7473969      a Manhattan
## 9    850      NP 0.2045852 0.2631463 26 -0.33631982 0.7454903      a Manhattan
##   n      mean          sd          se
## 1 4 1.4685684 0.760033273 0.380016636
## 2 4 0.6551187 0.729208400 0.364604200
## 3 4 1.3064748 1.104232039 0.552116020
## 4 4        NA          NA          NA
## 5 4 0.2301392 0.046630536 0.023315268
## 6 4 0.2229670 0.023721530 0.011860765
## 7 4 0.1170136 0.005514432 0.002757216
## 8 4 0.2064918 0.025641541 0.012820770
## 9 4 0.2045852 0.055639019 0.027819510

3.1.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF  DenDF F value   Pr(>F)   
## landuse        0.278002 0.139001     2 21.341  8.0597 0.002469 **
## precip         0.045177 0.045177     1 29.873  2.6195 0.116071   
## landuse:precip 0.191443 0.095722     2 20.564  5.5502 0.011817 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq  Mean Sq NumDF   DenDF F value   Pr(>F)   
## landuse        0.19014 0.095072     2 20.0287  7.3932 0.003939 **
## precip         0.06571 0.032854     2  8.5074  2.5549 0.135210   
## landuse:precip 0.31970 0.079925     4 15.9683  6.2153 0.003257 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean     SE   df  lower.CL upper.CL
##  AG      0.1783 0.0759 14.8  0.016299    0.340
##  EA      0.0907 0.0759 14.8 -0.071313    0.253
##  NP      0.5727 0.0759 14.8  0.410720    0.735
## 
## precip = 579:
##  landuse lsmean     SE   df  lower.CL upper.CL
##  AG      0.1627 0.0759 14.8  0.000675    0.325
##  EA      0.1418 0.0759 14.8 -0.020193    0.304
##  NP      0.1861 0.0759 14.8  0.024098    0.348
## 
## precip = 850:
##  landuse lsmean     SE   df  lower.CL upper.CL
##  AG      0.1247 0.0759 14.8 -0.037323    0.287
##  EA      0.1423 0.0759 14.8 -0.019736    0.304
##  NP      0.1247 0.0759 14.8 -0.037273    0.287
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean     SE   df  lower.CL upper.CL .group
##  NP      0.5727 0.0759 14.8  0.410720    0.735  a    
##  AG      0.1783 0.0759 14.8  0.016299    0.340   b   
##  EA      0.0907 0.0759 14.8 -0.071313    0.253   b   
## 
## precip = 579:
##  landuse lsmean     SE   df  lower.CL upper.CL .group
##  NP      0.1861 0.0759 14.8  0.024098    0.348  a    
##  AG      0.1627 0.0759 14.8  0.000675    0.325  a    
##  EA      0.1418 0.0759 14.8 -0.020193    0.304  a    
## 
## precip = 850:
##  landuse lsmean     SE   df  lower.CL upper.CL .group
##  EA      0.1423 0.0759 14.8 -0.019736    0.304  a    
##  NP      0.1247 0.0759 14.8 -0.037273    0.287  a    
##  AG      0.1247 0.0759 14.8 -0.037323    0.287  a    
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip     lsmean         SE       df      lower.CL  upper.CL .group
## 2      NP    472 0.57273153 0.07592464 14.80879  0.4107198026 0.7347433     a 
## 1      AG    472 0.17831096 0.07592464 14.80879  0.0162992318 0.3403227      b
## 3      EA    472 0.09069922 0.07592464 14.80879 -0.0713125062 0.2527109      b
## 5      NP    579 0.18610944 0.07592464 14.80879  0.0240977166 0.3481212      a
## 4      AG    579 0.16268672 0.07592464 14.80879  0.0006749961 0.3246984      a
## 6      EA    579 0.14181865 0.07592464 14.80879 -0.0201930747 0.3038304      a
## 7      EA    850 0.14227587 0.07592464 14.80879 -0.0197358527 0.3042876      a
## 9      NP    850 0.12473835 0.07592464 14.80879 -0.0372733717 0.2867501      a
## 8      AG    850 0.12468901 0.07592464 14.80879 -0.0373227122 0.2867007      a
##   precip landuse     lsmean         SE       df      lower.CL  upper.CL .group
## 1    472      AG 0.17831096 0.07592464 14.80879  0.0162992318 0.3403227      b
## 2    472      EA 0.09069922 0.07592464 14.80879 -0.0713125062 0.2527109      b
## 3    472      NP 0.57273153 0.07592464 14.80879  0.4107198026 0.7347433     a 
## 4    579      AG 0.16268672 0.07592464 14.80879  0.0006749961 0.3246984      a
## 5    579      EA 0.14181865 0.07592464 14.80879 -0.0201930747 0.3038304      a
## 6    579      NP 0.18610944 0.07592464 14.80879  0.0240977166 0.3481212      a
## 7    850      AG 0.12468901 0.07592464 14.80879 -0.0373227122 0.2867007      a
## 8    850      EA 0.14227587 0.07592464 14.80879 -0.0197358527 0.3042876      a
## 9    850      NP 0.12473835 0.07592464 14.80879 -0.0372733717 0.2867501      a
##    location n       mean         sd          se
## 1   Tribune 4 0.17831096 0.01446369 0.007231845
## 2   Tribune 4 0.09069922 0.01024213 0.005121066
## 3   Tribune 4 0.57273153 0.39470025 0.197350124
## 4      Hays 4 0.16268672 0.01316266 0.006581328
## 5      Hays 4 0.14181865 0.01124820 0.005624102
## 6      Hays 4 0.18610944 0.03090962 0.015454812
## 7 Manhattan 4 0.12468901 0.02878136 0.014390678
## 8 Manhattan 4 0.14227587 0.04387854 0.021939270
## 9 Manhattan 4 0.12473835 0.07113074 0.035565369

3.1.3 10-15 cm L

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF DenDF F value  Pr(>F)  
## landuse        0.055792 0.027896     2    30  3.8259 0.03311 *
## precip         0.016342 0.016342     1    30  2.2413 0.14482  
## landuse:precip 0.033857 0.016929     2    30  2.3217 0.11548  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF DenDF F value  Pr(>F)  
## landuse        0.058084 0.029042     2    27  4.0333 0.02933 *
## precip         0.022081 0.011041     2    27  1.5333 0.23403  
## landuse:precip 0.052446 0.013111     4    27  1.8209 0.15390  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean     SE   df lower.CL upper.CL
##  AG       0.147 0.0245 24.3   0.0964    0.197
##  EA       0.108 0.0245 24.3   0.0573    0.158
##  NP       0.206 0.0245 24.3   0.1550    0.256
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean     SE   df lower.CL upper.CL .group
##  NP       0.206 0.0245 24.3   0.1550    0.256  a    
##  AG       0.147 0.0245 24.3   0.0964    0.197  ab   
##  EA       0.108 0.0245 24.3   0.0573    0.158   b   
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse    lsmean         SE   df   lower.CL  upper.CL .group
## 2      NP 0.2055227 0.02449566 24.3 0.15499918 0.2560463     a 
## 1      AG 0.1468784 0.02449566 24.3 0.09635486 0.1974020     ab
## 3      EA 0.1077822 0.02449566 24.3 0.05725865 0.1583058      b

3.2 NO3-

3.2.1 0-5 cm P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        259.52  129.76     2    29  2.4548 0.1035391    
## precip         959.70  959.70     1    29 18.1552 0.0001962 ***
## landuse:precip 149.18   74.59     2    29  1.4111 0.2601302    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse         252.72  126.36     2    26  3.3460   0.05092 .  
## precip         1478.35  739.18     2    26 19.5732 6.517e-06 ***
## landuse:precip  185.51   46.38     4    26  1.2281   0.32322    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean   SE   df lower.CL upper.CL
##  472    15.035 1.77 12.6    11.19    18.88
##  579     2.316 1.89 14.0    -1.74     6.37
##  850     0.579 1.77 12.6    -3.27     4.42
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean   SE   df lower.CL upper.CL .group
##  472    15.035 1.77 12.6    11.19    18.88  a    
##  579     2.316 1.89 14.0    -1.74     6.37   b   
##  850     0.579 1.77 12.6    -3.27     4.42   b   
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip     lsmean       SE       df  lower.CL  upper.CL .group
## 3    472 15.0347347 1.773993 12.61386 11.190296 18.879173     a 
## 2    579  2.3158475 1.888937 13.98156 -1.736021  6.367716      b
## 1    850  0.5792559 1.773993 12.61386 -3.265183  4.423695      b

3.2.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value   Pr(>F)    
## landuse        17.358   8.679     2 18.754  9.1407 0.001694 ** 
## precip         36.235  36.235     1 29.846 38.1636 8.68e-07 ***
## landuse:precip  8.841   4.421     2 17.913  4.6559 0.023536 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        28.640  14.320     2 23.504 16.0294 4.064e-05 ***
## precip         55.125  27.562     2 22.131 30.8527 3.975e-07 ***
## landuse:precip  9.184   2.296     4 22.920  2.5701   0.06511 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean    SE   df lower.CL upper.CL
##  AG      4.7730 0.478 26.9   3.7926    5.753
##  EA      2.8347 0.478 26.9   1.8544    3.815
##  NP      2.1089 0.478 26.9   1.1286    3.089
## 
## precip = 579:
##  landuse lsmean    SE   df lower.CL upper.CL
##  AG      3.2874 0.478 26.9   2.3070    4.268
##  EA      0.9381 0.478 26.9  -0.0423    1.918
##  NP      0.0433 0.478 26.9  -0.9370    1.024
## 
## precip = 850:
##  landuse lsmean    SE   df lower.CL upper.CL
##  AG      0.4545 0.478 26.9  -0.5259    1.435
##  EA      0.0651 0.478 26.9  -0.9153    1.045
##  NP      0.0106 0.478 26.9  -0.9697    0.991
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean    SE   df lower.CL upper.CL .group
##  AG      4.7730 0.478 26.9   3.7926    5.753  a    
##  EA      2.8347 0.478 26.9   1.8544    3.815   b   
##  NP      2.1089 0.478 26.9   1.1286    3.089   b   
## 
## precip = 579:
##  landuse lsmean    SE   df lower.CL upper.CL .group
##  AG      3.2874 0.478 26.9   2.3070    4.268  a    
##  EA      0.9381 0.478 26.9  -0.0423    1.918   b   
##  NP      0.0433 0.478 26.9  -0.9370    1.024   b   
## 
## precip = 850:
##  landuse lsmean    SE   df lower.CL upper.CL .group
##  AG      0.4545 0.478 26.9  -0.5259    1.435  a    
##  EA      0.0651 0.478 26.9  -0.9153    1.045  a    
##  NP      0.0106 0.478 26.9  -0.9697    0.991  a    
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip     lsmean        SE       df   lower.CL upper.CL .group
## 3      AG    472 4.77298766 0.4777394 26.93943  3.7926443 5.753331     a 
## 2      EA    472 2.83469514 0.4777394 26.93943  1.8543518 3.815038      b
## 1      NP    472 2.10894609 0.4777394 26.93943  1.1286027 3.089289      b
## 6      AG    579 3.28735393 0.4777394 26.93943  2.3070106 4.267697     a 
## 5      EA    579 0.93807915 0.4777394 26.93943 -0.0422642 1.918422      b
## 4      NP    579 0.04332309 0.4777394 26.93943 -0.9370203 1.023666      b
## 9      AG    850 0.45446635 0.4777394 26.93943 -0.5258770 1.434810      a
## 8      EA    850 0.06508664 0.4777394 26.93943 -0.9152567 1.045430      a
## 7      NP    850 0.01059570 0.4777394 26.93943 -0.9697477 0.990939      a
##   precip landuse     lsmean        SE       df   lower.CL upper.CL .group
## 1    472      AG 4.77298766 0.4777394 26.93943  3.7926443 5.753331     a 
## 2    472      EA 2.83469514 0.4777394 26.93943  1.8543518 3.815038      b
## 3    472      NP 2.10894609 0.4777394 26.93943  1.1286027 3.089289      b
## 4    579      AG 3.28735393 0.4777394 26.93943  2.3070106 4.267697     a 
## 5    579      EA 0.93807915 0.4777394 26.93943 -0.0422642 1.918422      b
## 6    579      NP 0.04332309 0.4777394 26.93943 -0.9370203 1.023666      b
## 7    850      AG 0.45446635 0.4777394 26.93943 -0.5258770 1.434810      a
## 8    850      EA 0.06508664 0.4777394 26.93943 -0.9152567 1.045430      a
## 9    850      NP 0.01059570 0.4777394 26.93943 -0.9697477 0.990939      a
##    location n       mean         sd          se
## 1   Tribune 4 4.77298766 1.38631202 0.693156010
## 2   Tribune 4 2.83469514 0.41540547 0.207702735
## 3   Tribune 4 2.10894609 1.18113388 0.590566938
## 4      Hays 4 3.28735393 2.14085510 1.070427551
## 5      Hays 4 0.93807915 0.37255895 0.186279477
## 6      Hays 4 0.04332309 0.04141704 0.020708519
## 7 Manhattan 4 0.45446635 0.04623329 0.023116646
## 8 Manhattan 4 0.06508664 0.01139690 0.005698452
## 9 Manhattan 4 0.01059570 0.00517952 0.002589760

3.2.3 10-15 cm L+P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse         4.7669  2.3834     2    30  4.5836   0.01832 *  
## precip         15.9468 15.9468     1    30 30.6675 5.104e-06 ***
## landuse:precip  1.9554  0.9777     2    30  1.8802   0.17010    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        11.5390  5.7695     2    27 14.0956 6.429e-05 ***
## precip         16.1796  8.0898     2    27 19.7643 5.162e-06 ***
## landuse:precip  6.2708  1.5677     4    27  3.8301   0.01364 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean    SE   df lower.CL upper.CL
##  AG       1.781 0.185 24.3   1.4000    2.162
##  EA       0.896 0.185 24.3   0.5150    1.277
##  NP       0.414 0.185 24.3   0.0328    0.795
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean    SE   df lower.CL upper.CL .group
##  AG       1.781 0.185 24.3   1.4000    2.162  a    
##  EA       0.896 0.185 24.3   0.5150    1.277   b   
##  NP       0.414 0.185 24.3   0.0328    0.795   b   
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse    lsmean        SE   df  lower.CL  upper.CL .group
## 3      AG 1.7809033 0.1846873 24.3 1.3999764 2.1618301     a 
## 2      EA 0.8959524 0.1846873 24.3 0.5150255 1.2768793      b
## 1      NP 0.4137536 0.1846873 24.3 0.0328267 0.7946805      b

## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        11.5390  5.7695     2    27 14.0956 6.429e-05 ***
## precip         16.1796  8.0898     2    27 19.7643 5.162e-06 ***
## landuse:precip  6.2708  1.5677     4    27  3.8301   0.01364 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean    SE   df lower.CL upper.CL
##  472     1.786 0.185 13.5    1.388    2.183
##  579     1.149 0.185 13.5    0.751    1.546
##  850     0.156 0.185 13.5   -0.241    0.554
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean    SE   df lower.CL upper.CL .group
##  472     1.786 0.185 13.5    1.388    2.183  a    
##  579     1.149 0.185 13.5    0.751    1.546   b   
##  850     0.156 0.185 13.5   -0.241    0.554    c  
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean        SE   df   lower.CL  upper.CL .group
## 3    472 1.785645 0.1846873 13.5  1.3881498 2.1831410    a  
## 2    579 1.148596 0.1846873 13.5  0.7511003 1.5460914     b 
## 1    850 0.156368 0.1846873 13.5 -0.2411276 0.5538636      c

3.3 Total Nitrogen

3.3.1 0-5 cm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq   Mean Sq NumDF DenDF F value  Pr(>F)  
## landuse        0.032787 0.0163936     2    30  3.2473 0.05289 .
## precip         0.003716 0.0037165     1    30  0.7362 0.39769  
## landuse:precip 0.002981 0.0014904     2    30  0.2952 0.74650  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

3.3.2 5-10 cm L

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                   Sum Sq   Mean Sq NumDF DenDF F value  Pr(>F)  
## landuse        0.0057792 0.0028896     2    30  4.0590 0.02753 *
## precip         0.0026554 0.0026554     1    30  3.7300 0.06294 .
## landuse:precip 0.0002458 0.0001229     2    30  0.1726 0.84228  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean      SE   df lower.CL upper.CL
##  AG       0.158 0.00792 15.4    0.141    0.175
##  EA       0.161 0.00773 26.9    0.145    0.177
##  NP       0.260 0.00773 26.9    0.244    0.276
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean      SE   df lower.CL upper.CL .group
##  NP       0.260 0.00773 26.9    0.244    0.276  a    
##  EA       0.161 0.00773 26.9    0.145    0.177   b   
##  AG       0.158 0.00792 15.4    0.141    0.175   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse    lsmean          SE       df  lower.CL  upper.CL .group
## 1      NP 0.2600000 0.007726970 26.85141 0.2441415 0.2758585     a 
## 2      EA 0.1608333 0.007726970 26.85141 0.1449748 0.1766919      b
## 3      AG 0.1583333 0.007921595 15.40516 0.1414874 0.1751792      b

3.3.3 10-15 cm L*P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                   Sum Sq   Mean Sq NumDF DenDF F value  Pr(>F)  
## landuse        0.0022613 0.0011306     2    30  2.1009 0.13998  
## precip         0.0017053 0.0017053     1    30  3.1687 0.08519 .
## landuse:precip 0.0045665 0.0022832     2    30  4.2427 0.02384 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq   Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        0.037006 0.0185028     2    27 41.9811 5.171e-09 ***
## precip         0.001839 0.0009194     2    27  2.0861  0.143727    
## landuse:precip 0.008678 0.0021694     4    27  4.9223  0.004117 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       0.140 0.0105 27    0.118    0.162
##  EA       0.145 0.0105 27    0.123    0.167
##  NP       0.175 0.0105 27    0.153    0.197
## 
## precip = 579:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       0.122 0.0105 27    0.101    0.144
##  EA       0.142 0.0105 27    0.121    0.164
##  NP       0.222 0.0105 27    0.201    0.244
## 
## precip = 850:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       0.163 0.0105 27    0.141    0.184
##  EA       0.125 0.0105 27    0.103    0.147
##  NP       0.225 0.0105 27    0.203    0.247
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  NP       0.175 0.0105 27    0.153    0.197  a    
##  EA       0.145 0.0105 27    0.123    0.167  ab   
##  AG       0.140 0.0105 27    0.118    0.162   b   
## 
## precip = 579:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  NP       0.222 0.0105 27    0.201    0.244  a    
##  EA       0.142 0.0105 27    0.121    0.164   b   
##  AG       0.122 0.0105 27    0.101    0.144   b   
## 
## precip = 850:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  NP       0.225 0.0105 27    0.203    0.247  a    
##  AG       0.163 0.0105 27    0.141    0.184   b   
##  EA       0.125 0.0105 27    0.103    0.147    c  
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip lsmean         SE df  lower.CL  upper.CL .group
## 1      NP    472 0.1750 0.01049691 27 0.1534621 0.1965379     a 
## 2      EA    472 0.1450 0.01049691 27 0.1234621 0.1665379     ab
## 3      AG    472 0.1400 0.01049691 27 0.1184621 0.1615379      b
## 4      NP    579 0.2225 0.01049691 27 0.2009621 0.2440379     a 
## 5      EA    579 0.1425 0.01049691 27 0.1209621 0.1640379      b
## 6      AG    579 0.1225 0.01049691 27 0.1009621 0.1440379      b
## 8      NP    850 0.2250 0.01049691 27 0.2034621 0.2465379    a  
## 7      AG    850 0.1625 0.01049691 27 0.1409621 0.1840379     b 
## 9      EA    850 0.1250 0.01049691 27 0.1034621 0.1465379      c
##   precip landuse lsmean         SE df  lower.CL  upper.CL .group  location n
## 1    472      AG 0.1400 0.01049691 27 0.1184621 0.1615379      b   Tribune 4
## 2    472      EA 0.1450 0.01049691 27 0.1234621 0.1665379     ab   Tribune 4
## 3    472      NP 0.1750 0.01049691 27 0.1534621 0.1965379     a    Tribune 4
## 4    579      AG 0.1225 0.01049691 27 0.1009621 0.1440379      b      Hays 4
## 5    579      EA 0.1425 0.01049691 27 0.1209621 0.1640379      b      Hays 4
## 6    579      NP 0.2225 0.01049691 27 0.2009621 0.2440379     a       Hays 4
## 7    850      AG 0.1625 0.01049691 27 0.1409621 0.1840379     b  Manhattan 4
## 8    850      EA 0.1250 0.01049691 27 0.1034621 0.1465379      c Manhattan 4
## 9    850      NP 0.2250 0.01049691 27 0.2034621 0.2465379    a   Manhattan 4
##     mean          sd          se
## 1 0.1400 0.008164966 0.004082483
## 2 0.1450 0.010000000 0.005000000
## 3 0.1750 0.020816660 0.010408330
## 4 0.1225 0.018929694 0.009464847
## 5 0.1425 0.025000000 0.012500000
## 6 0.2225 0.018929694 0.009464847
## 7 0.1625 0.009574271 0.004787136
## 8 0.1250 0.012909944 0.006454972
## 9 0.2250 0.042031734 0.021015867

3.4 Total Organic Carbon

3.4.1 0-5 cm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value  Pr(>F)  
## landuse        3.6739 1.83695     2 24.041  2.5457 0.09936 .
## precip         0.0401 0.04007     1 24.088  0.0555 0.81569  
## landuse:precip 1.8953 0.94766     2 24.041  1.3133 0.28754  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

3.4.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        0.16035 0.08017     2    30  0.7959 0.4604606    
## precip         1.69163 1.69163     1    30 16.7939 0.0002915 ***
## landuse:precip 0.75036 0.37518     2    30  3.7247 0.0359050 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        14.3807  7.1903     2    27 130.536 1.319e-14 ***
## precip          2.4270  1.2135     2    27  22.030 2.120e-06 ***
## landuse:precip  1.5496  0.3874     4    27   7.033 0.0005146 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean    SE df lower.CL upper.CL
##  AG        1.67 0.117 27    1.427     1.91
##  EA        1.42 0.117 27    1.179     1.66
##  NP        2.52 0.117 27    2.279     2.76
## 
## precip = 579:
##  landuse lsmean    SE df lower.CL upper.CL
##  AG        0.99 0.117 27    0.749     1.23
##  EA        1.45 0.117 27    1.212     1.69
##  NP        2.59 0.117 27    2.352     2.83
## 
## precip = 850:
##  landuse lsmean    SE df lower.CL upper.CL
##  AG        1.96 0.117 27    1.722     2.20
##  EA        1.52 0.117 27    1.282     1.76
##  NP        3.41 0.117 27    3.172     3.65
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean    SE df lower.CL upper.CL .group
##  NP        2.52 0.117 27    2.279     2.76  a    
##  AG        1.67 0.117 27    1.427     1.91   b   
##  EA        1.42 0.117 27    1.179     1.66   b   
## 
## precip = 579:
##  landuse lsmean    SE df lower.CL upper.CL .group
##  NP        2.59 0.117 27    2.352     2.83  a    
##  EA        1.45 0.117 27    1.212     1.69   b   
##  AG        0.99 0.117 27    0.749     1.23    c  
## 
## precip = 850:
##  landuse lsmean    SE df lower.CL upper.CL .group
##  NP        3.41 0.117 27    3.172     3.65  a    
##  AG        1.96 0.117 27    1.722     2.20   b   
##  EA        1.52 0.117 27    1.282     1.76    c  
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip lsmean        SE df  lower.CL upper.CL .group
## 2      NP    472 2.5200 0.1173492 27 2.2792193 2.760781     a 
## 1      AG    472 1.6675 0.1173492 27 1.4267193 1.908281      b
## 3      EA    472 1.4200 0.1173492 27 1.1792193 1.660781      b
## 4      NP    579 2.5925 0.1173492 27 2.3517193 2.833281    a  
## 5      EA    579 1.4525 0.1173492 27 1.2117193 1.693281     b 
## 6      AG    579 0.9900 0.1173492 27 0.7492193 1.230781      c
## 8      NP    850 3.4125 0.1173492 27 3.1717193 3.653281    a  
## 7      AG    850 1.9625 0.1173492 27 1.7217193 2.203281     b 
## 9      EA    850 1.5225 0.1173492 27 1.2817193 1.763281      c
##   precip landuse lsmean        SE df  lower.CL upper.CL .group  location n
## 1    472      AG 1.6675 0.1173492 27 1.4267193 1.908281      b   Tribune 4
## 2    472      EA 1.4200 0.1173492 27 1.1792193 1.660781      b   Tribune 4
## 3    472      NP 2.5200 0.1173492 27 2.2792193 2.760781     a    Tribune 4
## 4    579      AG 0.9900 0.1173492 27 0.7492193 1.230781      c      Hays 4
## 5    579      EA 1.4525 0.1173492 27 1.2117193 1.693281     b       Hays 4
## 6    579      NP 2.5925 0.1173492 27 2.3517193 2.833281    a        Hays 4
## 7    850      AG 1.9625 0.1173492 27 1.7217193 2.203281     b  Manhattan 4
## 8    850      EA 1.5225 0.1173492 27 1.2817193 1.763281      c Manhattan 4
## 9    850      NP 3.4125 0.1173492 27 3.1717193 3.653281    a   Manhattan 4
##     mean         sd         se
## 1 1.6675 0.15413738 0.07706869
## 2 1.4200 0.26178872 0.13089436
## 3 2.5200 0.35279834 0.17639917
## 4 0.9900 0.13441230 0.06720615
## 5 1.4525 0.16090888 0.08045444
## 6 2.5925 0.17914147 0.08957074
## 7 1.9625 0.07320064 0.03660032
## 8 1.5225 0.07135592 0.03567796
## 9 3.4125 0.43873872 0.21936936

3.4.3 10-15 cm L*P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        0.3615 0.18075     2 23.085  2.4825  0.105551    
## precip         2.7765 2.77650     1 22.620 38.1335 2.872e-06 ***
## landuse:precip 1.2321 0.61602     2 23.085  8.4607  0.001752 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        6.9614  3.4807     2 22.464 64.6753 4.780e-10 ***
## precip         3.0641  1.5321     2 12.489 28.4674 2.228e-05 ***
## landuse:precip 1.6607  0.4152     4 22.464  7.7142 0.0004555 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean    SE   df lower.CL upper.CL
##  AG       1.325 0.118 26.8    1.082     1.57
##  EA       1.300 0.118 26.8    1.057     1.54
##  NP       1.760 0.118 26.8    1.517     2.00
## 
## precip = 579:
##  landuse lsmean    SE   df lower.CL upper.CL
##  AG       0.945 0.118 26.8    0.702     1.19
##  EA       1.230 0.118 26.8    0.987     1.47
##  NP       2.112 0.118 26.8    1.869     2.36
## 
## precip = 850:
##  landuse lsmean    SE   df lower.CL upper.CL
##  AG       1.880 0.118 26.8    1.637     2.12
##  EA       1.387 0.118 26.8    1.144     1.63
##  NP       2.953 0.118 26.8    2.709     3.20
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean    SE   df lower.CL upper.CL .group
##  NP       1.760 0.118 26.8    1.517     2.00  a    
##  AG       1.325 0.118 26.8    1.082     1.57   b   
##  EA       1.300 0.118 26.8    1.057     1.54   b   
## 
## precip = 579:
##  landuse lsmean    SE   df lower.CL upper.CL .group
##  NP       2.112 0.118 26.8    1.869     2.36  a    
##  EA       1.230 0.118 26.8    0.987     1.47   b   
##  AG       0.945 0.118 26.8    0.702     1.19   b   
## 
## precip = 850:
##  landuse lsmean    SE   df lower.CL upper.CL .group
##  NP       2.953 0.118 26.8    2.709     3.20  a    
##  AG       1.880 0.118 26.8    1.637     2.12   b   
##  EA       1.387 0.118 26.8    1.144     1.63    c  
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip lsmean       SE       df  lower.CL upper.CL .group
## 2      NP    472 1.7600 0.118403 26.82631 1.5169835 2.003016     a 
## 1      AG    472 1.3250 0.118403 26.82631 1.0819835 1.568016      b
## 3      EA    472 1.3000 0.118403 26.82631 1.0569835 1.543016      b
## 4      NP    579 2.1125 0.118403 26.82631 1.8694835 2.355516     a 
## 5      EA    579 1.2300 0.118403 26.82631 0.9869835 1.473016      b
## 6      AG    579 0.9450 0.118403 26.82631 0.7019835 1.188016      b
## 8      NP    850 2.9525 0.118403 26.82631 2.7094835 3.195516    a  
## 7      AG    850 1.8800 0.118403 26.82631 1.6369835 2.123016     b 
## 9      EA    850 1.3875 0.118403 26.82631 1.1444835 1.630516      c
##   precip landuse lsmean       SE       df  lower.CL upper.CL .group  location n
## 1    472      AG 1.3250 0.118403 26.82631 1.0819835 1.568016      b   Tribune 4
## 2    472      EA 1.3000 0.118403 26.82631 1.0569835 1.543016      b   Tribune 4
## 3    472      NP 1.7600 0.118403 26.82631 1.5169835 2.003016     a    Tribune 4
## 4    579      AG 0.9450 0.118403 26.82631 0.7019835 1.188016      b      Hays 4
## 5    579      EA 1.2300 0.118403 26.82631 0.9869835 1.473016      b      Hays 4
## 6    579      NP 2.1125 0.118403 26.82631 1.8694835 2.355516     a       Hays 4
## 7    850      AG 1.8800 0.118403 26.82631 1.6369835 2.123016     b  Manhattan 4
## 8    850      EA 1.3875 0.118403 26.82631 1.1444835 1.630516      c Manhattan 4
## 9    850      NP 2.9525 0.118403 26.82631 2.7094835 3.195516    a   Manhattan 4
##     mean         sd         se
## 1 1.3250 0.06557439 0.03278719
## 2 1.3000 0.22105806 0.11052903
## 3 1.7600 0.12727922 0.06363961
## 4 0.9450 0.17935068 0.08967534
## 5 1.2300 0.17454703 0.08727352
## 6 2.1125 0.16111590 0.08055795
## 7 1.8800 0.18814888 0.09407444
## 8 1.3875 0.03593976 0.01796988
## 9 2.9525 0.55721779 0.27860890

3.5 Extractable Ca Content (mg/kg)

3.5.1 0-5 cm L*P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        10526795  5263397     2 22.781  60.384 7.837e-10 ***
## precip         29875092 29875092     1 21.561 342.742 1.014e-14 ***
## landuse:precip 15040461  7520230     2 22.781  86.276 2.347e-11 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse         7009233  3504617     2    27  49.290 9.728e-10 ***
## precip         31173574 15586787     2    27 219.216 < 2.2e-16 ***
## landuse:precip 15354522  3838631     4    27  53.987 1.710e-12 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean  SE df lower.CL upper.CL
##  AG        1445 133 27     1172     1719
##  EA        1549 133 27     1275     1822
##  NP        2129 133 27     1855     2402
## 
## precip = 579:
##  landuse lsmean  SE df lower.CL upper.CL
##  AG        2633 133 27     2359     2907
##  EA        2224 133 27     1951     2498
##  NP        2886 133 27     2612     3159
## 
## precip = 850:
##  landuse lsmean  SE df lower.CL upper.CL
##  AG        5797 133 27     5524     6071
##  EA        2860 133 27     2586     3133
##  NP        3246 133 27     2972     3519
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean  SE df lower.CL upper.CL .group
##  NP        2129 133 27     1855     2402  a    
##  EA        1549 133 27     1275     1822   b   
##  AG        1445 133 27     1172     1719   b   
## 
## precip = 579:
##  landuse lsmean  SE df lower.CL upper.CL .group
##  NP        2886 133 27     2612     3159  a    
##  AG        2633 133 27     2359     2907  a    
##  EA        2224 133 27     1951     2498   b   
## 
## precip = 850:
##  landuse lsmean  SE df lower.CL upper.CL .group
##  AG        5797 133 27     5524     6071  a    
##  NP        3246 133 27     2972     3519   b   
##  EA        2860 133 27     2586     3133   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip   lsmean       SE df lower.CL upper.CL .group
## 1      NP    472 2128.800 133.3251 27 1855.239 2402.361     a 
## 2      EA    472 1548.825 133.3251 27 1275.264 1822.386      b
## 3      AG    472 1445.200 133.3251 27 1171.639 1718.761      b
## 5      NP    579 2885.750 133.3251 27 2612.189 3159.311     a 
## 4      AG    579 2632.950 133.3251 27 2359.389 2906.511     a 
## 6      EA    579 2224.500 133.3251 27 1950.939 2498.061      b
## 8      AG    850 5797.475 133.3251 27 5523.914 6071.036     a 
## 9      NP    850 3245.700 133.3251 27 2972.139 3519.261      b
## 7      EA    850 2859.800 133.3251 27 2586.239 3133.361      b
##   precip landuse   lsmean       SE df lower.CL upper.CL .group  location n
## 1    472      AG 1445.200 133.3251 27 1171.639 1718.761      b   Tribune 4
## 2    472      EA 1548.825 133.3251 27 1275.264 1822.386      b   Tribune 4
## 3    472      NP 2128.800 133.3251 27 1855.239 2402.361     a    Tribune 4
## 4    579      AG 2632.950 133.3251 27 2359.389 2906.511     a       Hays 4
## 5    579      EA 2224.500 133.3251 27 1950.939 2498.061      b      Hays 4
## 6    579      NP 2885.750 133.3251 27 2612.189 3159.311     a       Hays 4
## 7    850      AG 5797.475 133.3251 27 5523.914 6071.036     a  Manhattan 4
## 8    850      EA 2859.800 133.3251 27 2586.239 3133.361      b Manhattan 4
## 9    850      NP 3245.700 133.3251 27 2972.139 3519.261      b Manhattan 4
##       mean        sd        se
## 1 1445.200 359.76261 179.88130
## 2 1548.825 319.85041 159.92520
## 3 2128.800 287.99980 143.99990
## 4 2632.950 136.66608  68.33304
## 5 2224.500  34.23935  17.11968
## 6 2885.750 298.12791 149.06395
## 7 5797.475 256.31446 128.15723
## 8 2859.800 147.20931  73.60465
## 9 3245.700 359.36890 179.68445

3.5.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        10832552  5416276     2 26.715  62.460 8.467e-11 ***
## precip         21485011 21485011     1 29.995 247.765 4.855e-16 ***
## landuse:precip 17045109  8522555     2 26.262  98.282 6.399e-13 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse         9036133  4518066     2 24.347  62.697 2.491e-10 ***
## precip         21699428 10849714     2 22.878 150.561 6.797e-14 ***
## landuse:precip 17326979  4331745     4 23.817  60.111 4.237e-12 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse         9036133  4518066     2 24.347  62.697 2.491e-10 ***
## precip         21699428 10849714     2 22.878 150.561 6.797e-14 ***
## landuse:precip 17326979  4331745     4 23.817  60.111 4.237e-12 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean  SE   df lower.CL upper.CL
##  AG        1610 137 26.8     1330     1891
##  EA        1700 137 26.8     1420     1980
##  NP        2225 137 26.8     1945     2506
## 
## precip = 579:
##  landuse lsmean  SE   df lower.CL upper.CL
##  AG        2844 137 26.8     2564     3125
##  EA        2453 137 26.8     2172     2733
##  NP        2436 137 26.8     2155     2716
## 
## precip = 850:
##  landuse lsmean  SE   df lower.CL upper.CL
##  AG        5812 137 26.8     5532     6093
##  EA        2550 137 26.8     2270     2831
##  NP        2934 137 26.8     2654     3215
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean  SE   df lower.CL upper.CL .group
##  NP        2225 137 26.8     1945     2506  a    
##  EA        1700 137 26.8     1420     1980   b   
##  AG        1610 137 26.8     1330     1891   b   
## 
## precip = 579:
##  landuse lsmean  SE   df lower.CL upper.CL .group
##  AG        2844 137 26.8     2564     3125  a    
##  EA        2453 137 26.8     2172     2733  ab   
##  NP        2436 137 26.8     2155     2716   b   
## 
## precip = 850:
##  landuse lsmean  SE   df lower.CL upper.CL .group
##  AG        5812 137 26.8     5532     6093  a    
##  NP        2934 137 26.8     2654     3215   b   
##  EA        2550 137 26.8     2270     2831   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip   lsmean       SE       df lower.CL upper.CL .group
## 1      NP    472 2225.350 136.5988 26.84412 1944.996 2505.704     a 
## 2      EA    472 1700.125 136.5988 26.84412 1419.771 1980.479      b
## 3      AG    472 1610.475 136.5988 26.84412 1330.121 1890.829      b
## 6      AG    579 2844.325 136.5988 26.84412 2563.971 3124.679     a 
## 5      EA    579 2452.750 136.5988 26.84412 2172.396 2733.104     ab
## 4      NP    579 2435.500 136.5988 26.84412 2155.146 2715.854      b
## 8      AG    850 5812.175 136.5988 26.84412 5531.821 6092.529     a 
## 9      NP    850 2934.275 136.5988 26.84412 2653.921 3214.629      b
## 7      EA    850 2550.275 136.5988 26.84412 2269.921 2830.629      b
##   precip landuse   lsmean       SE       df lower.CL upper.CL .group  location
## 1    472      AG 1610.475 136.5988 26.84412 1330.121 1890.829      b   Tribune
## 2    472      EA 1700.125 136.5988 26.84412 1419.771 1980.479      b   Tribune
## 3    472      NP 2225.350 136.5988 26.84412 1944.996 2505.704     a    Tribune
## 4    579      AG 2844.325 136.5988 26.84412 2563.971 3124.679     a       Hays
## 5    579      EA 2452.750 136.5988 26.84412 2172.396 2733.104     ab      Hays
## 6    579      NP 2435.500 136.5988 26.84412 2155.146 2715.854      b      Hays
## 7    850      AG 5812.175 136.5988 26.84412 5531.821 6092.529     a  Manhattan
## 8    850      EA 2550.275 136.5988 26.84412 2269.921 2830.629      b Manhattan
## 9    850      NP 2934.275 136.5988 26.84412 2653.921 3214.629      b Manhattan
##   n     mean        sd        se
## 1 4 1610.475 415.98811 207.99406
## 2 4 1700.125 390.29288 195.14644
## 3 4 2225.350 176.83962  88.41981
## 4 4 2844.325  35.85121  17.92560
## 5 4 2452.750 152.96704  76.48352
## 6 4 2435.500  56.45942  28.22971
## 7 4 5812.175 206.22855 103.11428
## 8 4 2550.275  69.82957  34.91479
## 9 4 2934.275 490.09442 245.04721

3.5.3 10-15 cm L*P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        2916289 1458145     2    30  4.7086 0.0166551 *  
## precip         5287323 5287323     1    30 17.0735 0.0002653 ***
## landuse:precip 5961045 2980522     2    30  9.6245 0.0005900 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        7358980 3679490     2    27 12.6716 0.0001315 ***
## precip         5663302 2831651     2    27  9.7518 0.0006491 ***
## landuse:precip 7035408 1758852     4    27  6.0572 0.0012981 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean  SE df lower.CL upper.CL
##  AG        2596 269 27     2043     3149
##  EA        2116 269 27     1563     2668
##  NP        2381 269 27     1828     2934
## 
## precip = 579:
##  landuse lsmean  SE df lower.CL upper.CL
##  AG        3058 269 27     2505     3611
##  EA        2944 269 27     2391     3497
##  NP        2586 269 27     2033     3139
## 
## precip = 850:
##  landuse lsmean  SE df lower.CL upper.CL
##  AG        4824 269 27     4271     5376
##  EA        2450 269 27     1897     3003
##  NP        2734 269 27     2181     3286
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean  SE df lower.CL upper.CL .group
##  AG        2596 269 27     2043     3149  a    
##  NP        2381 269 27     1828     2934  a    
##  EA        2116 269 27     1563     2668  a    
## 
## precip = 579:
##  landuse lsmean  SE df lower.CL upper.CL .group
##  AG        3058 269 27     2505     3611  a    
##  EA        2944 269 27     2391     3497  a    
##  NP        2586 269 27     2033     3139  a    
## 
## precip = 850:
##  landuse lsmean  SE df lower.CL upper.CL .group
##  AG        4824 269 27     4271     5376  a    
##  NP        2734 269 27     2181     3286   b   
##  EA        2450 269 27     1897     3003   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip   lsmean      SE df lower.CL upper.CL .group
## 2      AG    472 2595.875 269.431 27 2043.048 3148.702      a
## 3      NP    472 2381.250 269.431 27 1828.423 2934.077      a
## 1      EA    472 2115.500 269.431 27 1562.673 2668.327      a
## 6      AG    579 3058.025 269.431 27 2505.198 3610.852      a
## 5      EA    579 2944.000 269.431 27 2391.173 3496.827      a
## 4      NP    579 2586.000 269.431 27 2033.173 3138.827      a
## 8      AG    850 4823.625 269.431 27 4270.798 5376.452     a 
## 9      NP    850 2733.550 269.431 27 2180.723 3286.377      b
## 7      EA    850 2449.725 269.431 27 1896.898 3002.552      b
##   precip landuse   lsmean      SE df lower.CL upper.CL .group  location n
## 1    472      AG 2595.875 269.431 27 2043.048 3148.702      a   Tribune 4
## 2    472      EA 2115.500 269.431 27 1562.673 2668.327      a   Tribune 4
## 3    472      NP 2381.250 269.431 27 1828.423 2934.077      a   Tribune 4
## 4    579      AG 3058.025 269.431 27 2505.198 3610.852      a      Hays 4
## 5    579      EA 2944.000 269.431 27 2391.173 3496.827      a      Hays 4
## 6    579      NP 2586.000 269.431 27 2033.173 3138.827      a      Hays 4
## 7    850      AG 4823.625 269.431 27 4270.798 5376.452     a  Manhattan 4
## 8    850      EA 2449.725 269.431 27 1896.898 3002.552      b Manhattan 4
## 9    850      NP 2733.550 269.431 27 2180.723 3286.377      b Manhattan 4
##       mean         sd        se
## 1 2595.875 1113.66838 556.83419
## 2 2115.500  277.32661 138.66330
## 3 2381.250  261.71700 130.85850
## 4 3058.025  308.17177 154.08589
## 5 2944.000  315.99473 157.99736
## 6 2586.000   47.43416  23.71708
## 7 4823.625  795.31067 397.65534
## 8 2449.725   75.88120  37.94060
## 9 2733.550  626.36808 313.18404

3.6 Extractable Cu Content (mg/kg)

3.6.1 0-5 cm L*P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        0.80480 0.40240     2 21.599  19.063 1.697e-05 ***
## precip         0.26667 0.26667     1 26.774  12.633  0.001433 ** 
## landuse:precip 0.64562 0.32281     2 21.599  15.293 7.289e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        0.35389 0.17694     2    27   9.800 0.0006312 ***
## precip         0.75056 0.37528     2    27  20.785 3.433e-06 ***
## landuse:precip 0.74444 0.18611     4    27  10.308 3.361e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG        1.30 0.0672 27    1.162     1.44
##  EA        1.48 0.0672 27    1.337     1.61
##  NP        1.05 0.0672 27    0.912     1.19
## 
## precip = 579:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG        1.55 0.0672 27    1.412     1.69
##  EA        1.90 0.0672 27    1.762     2.04
##  NP        1.40 0.0672 27    1.262     1.54
## 
## precip = 850:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG        1.25 0.0672 27    1.112     1.39
##  EA        1.30 0.0672 27    1.162     1.44
##  NP        1.55 0.0672 27    1.412     1.69
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  EA        1.48 0.0672 27    1.337     1.61  a    
##  AG        1.30 0.0672 27    1.162     1.44  a    
##  NP        1.05 0.0672 27    0.912     1.19   b   
## 
## precip = 579:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  EA        1.90 0.0672 27    1.762     2.04  a    
##  AG        1.55 0.0672 27    1.412     1.69   b   
##  NP        1.40 0.0672 27    1.262     1.54   b   
## 
## precip = 850:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  NP        1.55 0.0672 27    1.412     1.69  a    
##  EA        1.30 0.0672 27    1.162     1.44   b   
##  AG        1.25 0.0672 27    1.112     1.39   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip lsmean         SE df  lower.CL upper.CL .group
## 3      EA    472  1.475 0.06718548 27 1.3371468 1.612853     a 
## 1      AG    472  1.300 0.06718548 27 1.1621468 1.437853     a 
## 2      NP    472  1.050 0.06718548 27 0.9121468 1.187853      b
## 6      EA    579  1.900 0.06718548 27 1.7621468 2.037853     a 
## 4      AG    579  1.550 0.06718548 27 1.4121468 1.687853      b
## 5      NP    579  1.400 0.06718548 27 1.2621468 1.537853      b
## 7      NP    850  1.550 0.06718548 27 1.4121468 1.687853     a 
## 8      EA    850  1.300 0.06718548 27 1.1621468 1.437853      b
## 9      AG    850  1.250 0.06718548 27 1.1121468 1.387853      b
##   precip landuse lsmean         SE df  lower.CL upper.CL .group  location n
## 1    472      AG  1.300 0.06718548 27 1.1621468 1.437853     a    Tribune 4
## 2    472      EA  1.475 0.06718548 27 1.3371468 1.612853     a    Tribune 4
## 3    472      NP  1.050 0.06718548 27 0.9121468 1.187853      b   Tribune 4
## 4    579      AG  1.550 0.06718548 27 1.4121468 1.687853      b      Hays 4
## 5    579      EA  1.900 0.06718548 27 1.7621468 2.037853     a       Hays 4
## 6    579      NP  1.400 0.06718548 27 1.2621468 1.537853      b      Hays 4
## 7    850      AG  1.250 0.06718548 27 1.1121468 1.387853      b Manhattan 4
## 8    850      EA  1.300 0.06718548 27 1.1621468 1.437853      b Manhattan 4
## 9    850      NP  1.550 0.06718548 27 1.4121468 1.687853     a  Manhattan 4
##    mean         sd         se
## 1 1.300 0.00000000 0.00000000
## 2 1.475 0.17078251 0.08539126
## 3 1.050 0.10000000 0.05000000
## 4 1.550 0.05773503 0.02886751
## 5 1.900 0.16329932 0.08164966
## 6 1.400 0.16329932 0.08164966
## 7 1.250 0.17320508 0.08660254
## 8 1.300 0.08164966 0.04082483
## 9 1.550 0.17320508 0.08660254

3.6.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq  Mean Sq NumDF  DenDF F value   Pr(>F)   
## landuse        0.35934 0.179670     2 23.054  9.0448 0.001260 **
## precip         0.04352 0.043516     1 25.197  2.1907 0.151244   
## landuse:precip 0.32113 0.160566     2 22.752  8.0831 0.002228 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        0.37167 0.18583     2    27  7.8093  0.002108 ** 
## precip         0.78167 0.39083     2    27 16.4241 2.154e-05 ***
## landuse:precip 0.93167 0.23292     4    27  9.7879 5.010e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       1.400 0.0771 27    1.242     1.56
##  EA       1.325 0.0771 27    1.167     1.48
##  NP       0.975 0.0771 27    0.817     1.13
## 
## precip = 579:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       1.450 0.0771 27    1.292     1.61
##  EA       1.825 0.0771 27    1.667     1.98
##  NP       1.500 0.0771 27    1.342     1.66
## 
## precip = 850:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       1.150 0.0771 27    0.992     1.31
##  EA       1.550 0.0771 27    1.392     1.71
##  NP       1.650 0.0771 27    1.492     1.81
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  AG       1.400 0.0771 27    1.242     1.56  a    
##  EA       1.325 0.0771 27    1.167     1.48  a    
##  NP       0.975 0.0771 27    0.817     1.13   b   
## 
## precip = 579:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  EA       1.825 0.0771 27    1.667     1.98  a    
##  NP       1.500 0.0771 27    1.342     1.66   b   
##  AG       1.450 0.0771 27    1.292     1.61   b   
## 
## precip = 850:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  NP       1.650 0.0771 27    1.492     1.81  a    
##  EA       1.550 0.0771 27    1.392     1.71  a    
##  AG       1.150 0.0771 27    0.992     1.31   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip lsmean         SE df  lower.CL upper.CL .group
## 3      AG    472  1.400 0.07713024 27 1.2417418 1.558258     a 
## 2      EA    472  1.325 0.07713024 27 1.1667418 1.483258     a 
## 1      NP    472  0.975 0.07713024 27 0.8167418 1.133258      b
## 4      EA    579  1.825 0.07713024 27 1.6667418 1.983258     a 
## 6      NP    579  1.500 0.07713024 27 1.3417418 1.658258      b
## 5      AG    579  1.450 0.07713024 27 1.2917418 1.608258      b
## 7      NP    850  1.650 0.07713024 27 1.4917418 1.808258     a 
## 8      EA    850  1.550 0.07713024 27 1.3917418 1.708258     a 
## 9      AG    850  1.150 0.07713024 27 0.9917418 1.308258      b
##   precip landuse lsmean         SE df  lower.CL upper.CL .group  location n
## 1    472      AG  1.400 0.07713024 27 1.2417418 1.558258     a    Tribune 4
## 2    472      EA  1.325 0.07713024 27 1.1667418 1.483258     a    Tribune 4
## 3    472      NP  0.975 0.07713024 27 0.8167418 1.133258      b   Tribune 4
## 4    579      AG  1.450 0.07713024 27 1.2917418 1.608258      b      Hays 4
## 5    579      EA  1.825 0.07713024 27 1.6667418 1.983258     a       Hays 4
## 6    579      NP  1.500 0.07713024 27 1.3417418 1.658258      b      Hays 4
## 7    850      AG  1.150 0.07713024 27 0.9917418 1.308258      b Manhattan 4
## 8    850      EA  1.550 0.07713024 27 1.3917418 1.708258     a  Manhattan 4
## 9    850      NP  1.650 0.07713024 27 1.4917418 1.808258     a  Manhattan 4
##    mean         sd         se
## 1 1.400 0.08164966 0.04082483
## 2 1.325 0.34034296 0.17017148
## 3 0.975 0.05000000 0.02500000
## 4 1.450 0.10000000 0.05000000
## 5 1.825 0.09574271 0.04787136
## 6 1.500 0.14142136 0.07071068
## 7 1.150 0.12909944 0.06454972
## 8 1.550 0.05773503 0.02886751
## 9 1.650 0.17320508 0.08660254

3.6.3 10-15 cm P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF F value Pr(>F)  
## landuse        0.23902 0.11951     2 19.288  1.2545 0.3075  
## precip         0.40712 0.40712     1 29.123  4.2733 0.0477 *
## landuse:precip 0.22971 0.11486     2 19.288  1.2056 0.3211  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        0.06056 0.03028     2 22.025  0.3403 0.7152350    
## precip         2.48820 1.24410     2 11.788 13.9826 0.0007733 ***
## landuse:precip 0.36444 0.09111     4 22.025  1.0240 0.4167914    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean     SE   df lower.CL upper.CL
##  472     0.992 0.0903 12.2    0.795     1.19
##  579     1.558 0.0903 12.2    1.362     1.75
##  850     1.608 0.0903 12.2    1.412     1.80
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean     SE   df lower.CL upper.CL .group
##  850     1.608 0.0903 12.2    1.412     1.80  a    
##  579     1.558 0.0903 12.2    1.362     1.75  a    
##  472     0.992 0.0903 12.2    0.795     1.19   b   
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip    lsmean         SE       df  lower.CL upper.CL .group
## 1    850 1.6083333 0.09028076 12.18142 1.4119529 1.804714     a 
## 2    579 1.5583333 0.09028076 12.18142 1.3619529 1.754714     a 
## 3    472 0.9916667 0.09028076 12.18142 0.7952862 1.188047      b

3.7 Extractable Mg Content (mg/kg)

3.7.1 0-5 cm L*P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value   Pr(>F)   
## landuse         73281   36640     2    30  5.2138 0.011393 * 
## precip           5291    5291     1    30  0.7529 0.392456   
## landuse:precip 112623   56312     2    30  8.0130 0.001628 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse         57111   28555     2    27  16.242 2.338e-05 ***
## precip          39459   19730     2    27  11.222 0.0002836 ***
## landuse:precip 241814   60453     4    27  34.386 3.111e-10 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean SE df lower.CL upper.CL
##  AG         259 21 27      216      302
##  EA         285 21 27      242      328
##  NP         378 21 27      335      421
## 
## precip = 579:
##  landuse lsmean SE df lower.CL upper.CL
##  AG         466 21 27      423      509
##  EA         378 21 27      334      421
##  NP         320 21 27      277      363
## 
## precip = 850:
##  landuse lsmean SE df lower.CL upper.CL
##  AG         164 21 27      121      207
##  EA         422 21 27      379      465
##  NP         478 21 27      435      521
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean SE df lower.CL upper.CL .group
##  NP         378 21 27      335      421  a    
##  EA         285 21 27      242      328   b   
##  AG         259 21 27      216      302   b   
## 
## precip = 579:
##  landuse lsmean SE df lower.CL upper.CL .group
##  AG         466 21 27      423      509  a    
##  EA         378 21 27      334      421   b   
##  NP         320 21 27      277      363   b   
## 
## precip = 850:
##  landuse lsmean SE df lower.CL upper.CL .group
##  NP         478 21 27      435      521  a    
##  EA         422 21 27      379      465  a    
##  AG         164 21 27      121      207   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip  lsmean       SE df lower.CL upper.CL .group
## 1      NP    472 377.675 20.96458 27 334.6592 420.6908     a 
## 2      EA    472 285.225 20.96458 27 242.2092 328.2408      b
## 3      AG    472 259.075 20.96458 27 216.0592 302.0908      b
## 6      AG    579 466.375 20.96458 27 423.3592 509.3908     a 
## 5      EA    579 377.500 20.96458 27 334.4842 420.5158      b
## 4      NP    579 320.250 20.96458 27 277.2342 363.2658      b
## 7      NP    850 477.550 20.96458 27 434.5342 520.5658     a 
## 8      EA    850 422.150 20.96458 27 379.1342 465.1658     a 
## 9      AG    850 163.700 20.96458 27 120.6842 206.7158      b
##   precip landuse  lsmean       SE df lower.CL upper.CL .group  location n
## 1    472      AG 259.075 20.96458 27 216.0592 302.0908      b   Tribune 4
## 2    472      EA 285.225 20.96458 27 242.2092 328.2408      b   Tribune 4
## 3    472      NP 377.675 20.96458 27 334.6592 420.6908     a    Tribune 4
## 4    579      AG 466.375 20.96458 27 423.3592 509.3908     a       Hays 4
## 5    579      EA 377.500 20.96458 27 334.4842 420.5158      b      Hays 4
## 6    579      NP 320.250 20.96458 27 277.2342 363.2658      b      Hays 4
## 7    850      AG 163.700 20.96458 27 120.6842 206.7158      b Manhattan 4
## 8    850      EA 422.150 20.96458 27 379.1342 465.1658     a  Manhattan 4
## 9    850      NP 477.550 20.96458 27 434.5342 520.5658     a  Manhattan 4
##      mean       sd        se
## 1 259.075 43.06231 21.531155
## 2 285.225 16.99419  8.497095
## 3 377.675 52.04737 26.023687
## 4 466.375 43.60255 21.801276
## 5 377.500 69.67305 34.836523
## 6 320.250 41.88377 20.941884
## 7 163.700 12.10702  6.053511
## 8 422.150 20.18341 10.091705
## 9 477.550 43.66551 21.832754

3.7.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        110597   55299     2    30  7.1464 0.0028962 ** 
## precip          16017   16017     1    30  2.0700 0.1605757    
## landuse:precip 157633   78816     2    30 10.1856 0.0004208 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse         46535   23268     2    27  28.783 2.024e-07 ***
## precip          54057   27028     2    27  33.435 4.946e-08 ***
## landuse:precip 329907   82477     4    27 102.028 6.884e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG         253 14.2 27      224      282
##  EA         261 14.2 27      232      290
##  NP         355 14.2 27      326      384
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG         475 14.2 27      446      504
##  EA         396 14.2 27      367      425
##  NP         271 14.2 27      242      300
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG         149 14.2 27      120      178
##  EA         451 14.2 27      422      480
##  NP         477 14.2 27      448      507
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP         355 14.2 27      326      384  a    
##  EA         261 14.2 27      232      290   b   
##  AG         253 14.2 27      224      282   b   
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  AG         475 14.2 27      446      504  a    
##  EA         396 14.2 27      367      425   b   
##  NP         271 14.2 27      242      300    c  
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP         477 14.2 27      448      507  a    
##  EA         451 14.2 27      422      480  a    
##  AG         149 14.2 27      120      178   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip  lsmean       SE df lower.CL upper.CL .group
## 1      NP    472 355.250 14.21596 27 326.0813 384.4187     a 
## 2      EA    472 261.225 14.21596 27 232.0563 290.3937      b
## 3      AG    472 252.950 14.21596 27 223.7813 282.1187      b
## 6      AG    579 474.925 14.21596 27 445.7563 504.0937    a  
## 5      EA    579 395.750 14.21596 27 366.5813 424.9187     b 
## 4      NP    579 271.000 14.21596 27 241.8313 300.1687      c
## 7      NP    850 477.475 14.21596 27 448.3063 506.6437     a 
## 8      EA    850 451.100 14.21596 27 421.9313 480.2687     a 
## 9      AG    850 149.250 14.21596 27 120.0813 178.4187      b
##   precip landuse  lsmean       SE df lower.CL upper.CL .group  location n
## 1    472      AG 252.950 14.21596 27 223.7813 282.1187      b   Tribune 4
## 2    472      EA 261.225 14.21596 27 232.0563 290.3937      b   Tribune 4
## 3    472      NP 355.250 14.21596 27 326.0813 384.4187     a    Tribune 4
## 4    579      AG 474.925 14.21596 27 445.7563 504.0937    a        Hays 4
## 5    579      EA 395.750 14.21596 27 366.5813 424.9187     b       Hays 4
## 6    579      NP 271.000 14.21596 27 241.8313 300.1687      c      Hays 4
## 7    850      AG 149.250 14.21596 27 120.0813 178.4187      b Manhattan 4
## 8    850      EA 451.100 14.21596 27 421.9313 480.2687     a  Manhattan 4
## 9    850      NP 477.475 14.21596 27 448.3063 506.6437     a  Manhattan 4
##      mean        sd        se
## 1 252.950 38.756806 19.378403
## 2 261.225 11.558366  5.779183
## 3 355.250 32.896454 16.448227
## 4 474.925 45.851817 22.925909
## 5 395.750 34.625376 17.312688
## 6 271.000 14.445299  7.222650
## 7 149.250  4.872713  2.436357
## 8 451.100  9.529253  4.764627
## 9 477.475 30.544762 15.272381

3.7.3 10-15 cm L*P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value   Pr(>F)   
## landuse        128756   64378     2 18.657  7.7128 0.003621 **
## precip           8519    8519     1 23.553  1.0206 0.322647   
## landuse:precip 154460   77230     2 18.657  9.2525 0.001616 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse         57111   28555     2    27  16.242 2.338e-05 ***
## precip          39459   19730     2    27  11.222 0.0002836 ***
## landuse:precip 241814   60453     4    27  34.386 3.111e-10 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean SE df lower.CL upper.CL
##  AG         259 21 27      216      302
##  EA         285 21 27      242      328
##  NP         378 21 27      335      421
## 
## precip = 579:
##  landuse lsmean SE df lower.CL upper.CL
##  AG         466 21 27      423      509
##  EA         378 21 27      334      421
##  NP         320 21 27      277      363
## 
## precip = 850:
##  landuse lsmean SE df lower.CL upper.CL
##  AG         164 21 27      121      207
##  EA         422 21 27      379      465
##  NP         478 21 27      435      521
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean SE df lower.CL upper.CL .group
##  NP         378 21 27      335      421  a    
##  EA         285 21 27      242      328   b   
##  AG         259 21 27      216      302   b   
## 
## precip = 579:
##  landuse lsmean SE df lower.CL upper.CL .group
##  AG         466 21 27      423      509  a    
##  EA         378 21 27      334      421   b   
##  NP         320 21 27      277      363   b   
## 
## precip = 850:
##  landuse lsmean SE df lower.CL upper.CL .group
##  NP         478 21 27      435      521  a    
##  EA         422 21 27      379      465  a    
##  AG         164 21 27      121      207   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip  lsmean       SE df lower.CL upper.CL .group
## 1      NP    472 377.675 20.96458 27 334.6592 420.6908     a 
## 2      EA    472 285.225 20.96458 27 242.2092 328.2408      b
## 3      AG    472 259.075 20.96458 27 216.0592 302.0908      b
## 6      AG    579 466.375 20.96458 27 423.3592 509.3908     a 
## 5      EA    579 377.500 20.96458 27 334.4842 420.5158      b
## 4      NP    579 320.250 20.96458 27 277.2342 363.2658      b
## 7      NP    850 477.550 20.96458 27 434.5342 520.5658     a 
## 8      EA    850 422.150 20.96458 27 379.1342 465.1658     a 
## 9      AG    850 163.700 20.96458 27 120.6842 206.7158      b
##   precip landuse  lsmean       SE df lower.CL upper.CL .group  location n
## 1    472      AG 259.075 20.96458 27 216.0592 302.0908      b   Tribune 4
## 2    472      EA 285.225 20.96458 27 242.2092 328.2408      b   Tribune 4
## 3    472      NP 377.675 20.96458 27 334.6592 420.6908     a    Tribune 4
## 4    579      AG 466.375 20.96458 27 423.3592 509.3908     a       Hays 4
## 5    579      EA 377.500 20.96458 27 334.4842 420.5158      b      Hays 4
## 6    579      NP 320.250 20.96458 27 277.2342 363.2658      b      Hays 4
## 7    850      AG 163.700 20.96458 27 120.6842 206.7158      b Manhattan 4
## 8    850      EA 422.150 20.96458 27 379.1342 465.1658     a  Manhattan 4
## 9    850      NP 477.550 20.96458 27 434.5342 520.5658     a  Manhattan 4
##      mean        sd        se
## 1 311.000  41.69101 20.845503
## 2 275.400  19.98216  9.991079
## 3 298.650  21.59282 10.796411
## 4 507.725  78.03535 39.017675
## 5 481.500 124.23768 62.118838
## 6 295.250  18.82153  9.410765
## 7 223.625  95.24223 47.621115
## 8 485.225  17.33905  8.669523
## 9 477.750  31.00478 15.502392

3.8 Extractable Mn Content (mg/kg)

3.8.1 0-5 cm L*P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        2677.4  1338.7     2    30  5.4179  0.009799 ** 
## precip         6811.9  6811.9     1    30 27.5693 1.148e-05 ***
## landuse:precip 2857.1  1428.6     2    30  5.7818  0.007519 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse         242.6   121.3     2    27  0.6326  0.538894    
## precip         7248.9  3624.5     2    27 18.9060 7.346e-06 ***
## landuse:precip 4656.5  1164.1     4    27  6.0723  0.001279 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        71.4 6.92 27    57.22     85.6
##  EA        68.4 6.92 27    54.20     82.6
##  NP        38.9 6.92 27    24.70     53.1
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        28.6 6.92 27    14.40     42.8
##  EA        48.4 6.92 27    34.15     62.6
##  NP        49.4 6.92 27    35.20     63.6
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        16.6 6.92 27     2.37     30.8
##  EA        18.9 6.92 27     4.67     33.1
##  NP        39.0 6.92 27    24.80     53.2
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  AG        71.4 6.92 27    57.22     85.6  a    
##  EA        68.4 6.92 27    54.20     82.6  a    
##  NP        38.9 6.92 27    24.70     53.1   b   
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP        49.4 6.92 27    35.20     63.6  a    
##  EA        48.4 6.92 27    34.15     62.6  ab   
##  AG        28.6 6.92 27    14.40     42.8   b   
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP        39.0 6.92 27    24.80     53.2  a    
##  EA        18.9 6.92 27     4.67     33.1  ab   
##  AG        16.6 6.92 27     2.37     30.8   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip lsmean       SE df  lower.CL upper.CL .group
## 3      AG    472 71.425 6.922944 27 57.220292 85.62971     a 
## 2      EA    472 68.400 6.922944 27 54.195292 82.60471     a 
## 1      NP    472 38.900 6.922944 27 24.695292 53.10471      b
## 4      NP    579 49.400 6.922944 27 35.195292 63.60471     a 
## 5      EA    579 48.350 6.922944 27 34.145292 62.55471     ab
## 6      AG    579 28.600 6.922944 27 14.395292 42.80471      b
## 7      NP    850 39.000 6.922944 27 24.795292 53.20471     a 
## 8      EA    850 18.875 6.922944 27  4.670292 33.07971     ab
## 9      AG    850 16.575 6.922944 27  2.370292 30.77971      b
##   precip landuse lsmean       SE df  lower.CL upper.CL .group  location n
## 1    472      AG 71.425 6.922944 27 57.220292 85.62971     a    Tribune 4
## 2    472      EA 68.400 6.922944 27 54.195292 82.60471     a    Tribune 4
## 3    472      NP 38.900 6.922944 27 24.695292 53.10471      b   Tribune 4
## 4    579      AG 28.600 6.922944 27 14.395292 42.80471      b      Hays 4
## 5    579      EA 48.350 6.922944 27 34.145292 62.55471     ab      Hays 4
## 6    579      NP 49.400 6.922944 27 35.195292 63.60471     a       Hays 4
## 7    850      AG 16.575 6.922944 27  2.370292 30.77971      b Manhattan 4
## 8    850      EA 18.875 6.922944 27  4.670292 33.07971     ab Manhattan 4
## 9    850      NP 39.000 6.922944 27 24.795292 53.20471     a  Manhattan 4
##     mean        sd        se
## 1 71.425 30.767881 15.383940
## 2 68.400 24.077098 12.038549
## 3 38.900  2.929164  1.464582
## 4 28.600  4.533578  2.266789
## 5 48.350 11.128791  5.564396
## 6 49.400  2.021551  1.010775
## 7 16.575  3.348009  1.674005
## 8 18.875  0.917878  0.458939
## 9 39.000  5.466870  2.733435

3.8.2 5-10 cm P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse         684.33  342.17     2    30  2.3057 0.1170911    
## precip         2422.07 2422.07     1    30 16.3213 0.0003421 ***
## landuse:precip  937.55  468.77     2    30  3.1589 0.0568907 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse         182.81   91.41     2 20.868  1.7656  0.195694    
## precip         1554.28  777.14     2  9.467 15.0116  0.001159 ** 
## landuse:precip 2685.85  671.46     4 16.975 12.9702 5.099e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean   SE    df lower.CL upper.CL
##  472      42.7 3.07 10.27     35.9     49.5
##  579      34.1 3.67  6.71     25.4     42.9
##  850      22.5 3.67  6.71     13.7     31.2
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean   SE    df lower.CL upper.CL .group
##  472      42.7 3.07 10.27     35.9     49.5  a    
##  579      34.1 3.67  6.71     25.4     42.9  a    
##  850      22.5 3.67  6.71     13.7     31.2   b   
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean       SE        df lower.CL upper.CL .group
## 3    472 42.73333 3.065944 10.265674 35.92587 49.54079     a 
## 2    579 34.10833 3.669975  6.713487 25.35457 42.86209     a 
## 1    850 22.45833 3.669975  6.713487 13.70457 31.21209      b

3.8.3 10-15 cm

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value Pr(>F)
## landuse        110.197  55.099     2    30  0.5042 0.6090
## precip         261.908 261.908     1    30  2.3967 0.1321
## landuse:precip  88.779  44.390     2    30  0.4062 0.6698

3.9 Extractable Na Content (mg/kg)

3.9.1 0-5 cm L*P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse          66.01   33.01     2 23.510  2.5208   0.10189    
## precip         1058.94 1058.94     1 24.823 80.8761 2.779e-09 ***
## landuse:precip   93.64   46.82     2 23.510  3.5758   0.04407 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse         29.40   14.70     2 22.427  1.9051 0.1721177    
## precip         989.15  494.57     2 11.629 64.1072 5.246e-07 ***
## landuse:precip 220.04   55.01     4 22.427  7.1306 0.0007342 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean  SE   df lower.CL upper.CL
##  AG        3.05 1.5 24.9   -0.047     6.15
##  EA        5.15 1.5 24.9    2.053     8.25
##  NP        6.30 1.5 24.9    3.203     9.40
## 
## precip = 579:
##  landuse lsmean  SE   df lower.CL upper.CL
##  AG       14.97 1.5 24.9   11.878    18.07
##  EA       12.25 1.5 24.9    9.153    15.35
##  NP        8.50 1.5 24.9    5.403    11.60
## 
## precip = 850:
##  landuse lsmean  SE   df lower.CL upper.CL
##  AG       20.65 1.5 24.9   17.553    23.75
##  EA       15.57 1.5 24.9   12.478    18.67
##  NP       23.98 1.5 24.9   20.878    27.07
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean  SE   df lower.CL upper.CL .group
##  NP        6.30 1.5 24.9    3.203     9.40  a    
##  EA        5.15 1.5 24.9    2.053     8.25  a    
##  AG        3.05 1.5 24.9   -0.047     6.15  a    
## 
## precip = 579:
##  landuse lsmean  SE   df lower.CL upper.CL .group
##  AG       14.97 1.5 24.9   11.878    18.07  a    
##  EA       12.25 1.5 24.9    9.153    15.35  ab   
##  NP        8.50 1.5 24.9    5.403    11.60   b   
## 
## precip = 850:
##  landuse lsmean  SE   df lower.CL upper.CL .group
##  NP       23.98 1.5 24.9   20.878    27.07  a    
##  AG       20.65 1.5 24.9   17.553    23.75  a    
##  EA       15.57 1.5 24.9   12.478    18.67   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip lsmean       SE       df    lower.CL  upper.CL .group
## 1      NP    472  6.300 1.503405 24.89952  3.20304588  9.396954      a
## 2      EA    472  5.150 1.503405 24.89952  2.05304588  8.246954      a
## 3      AG    472  3.050 1.503405 24.89952 -0.04695412  6.146954      a
## 6      AG    579 14.975 1.503405 24.89952 11.87804588 18.071954     a 
## 5      EA    579 12.250 1.503405 24.89952  9.15304588 15.346954     ab
## 4      NP    579  8.500 1.503405 24.89952  5.40304588 11.596954      b
## 8      NP    850 23.975 1.503405 24.89952 20.87804588 27.071954     a 
## 7      AG    850 20.650 1.503405 24.89952 17.55304588 23.746954     a 
## 9      EA    850 15.575 1.503405 24.89952 12.47804588 18.671954      b
##   precip landuse lsmean       SE       df    lower.CL  upper.CL .group
## 1    472      AG  3.050 1.503405 24.89952 -0.04695412  6.146954      a
## 2    472      EA  5.150 1.503405 24.89952  2.05304588  8.246954      a
## 3    472      NP  6.300 1.503405 24.89952  3.20304588  9.396954      a
## 4    579      AG 14.975 1.503405 24.89952 11.87804588 18.071954     a 
## 5    579      EA 12.250 1.503405 24.89952  9.15304588 15.346954     ab
## 6    579      NP  8.500 1.503405 24.89952  5.40304588 11.596954      b
## 7    850      AG 20.650 1.503405 24.89952 17.55304588 23.746954     a 
## 8    850      EA 15.575 1.503405 24.89952 12.47804588 18.671954      b
## 9    850      NP 23.975 1.503405 24.89952 20.87804588 27.071954     a 
##    location n   mean        sd        se
## 1   Tribune 4  3.050 1.2124356 0.6062178
## 2   Tribune 4  5.150 1.1030261 0.5515131
## 3   Tribune 4  6.300 0.9201449 0.4600725
## 4      Hays 4 14.975 2.5539186 1.2769593
## 5      Hays 4 12.250 2.2173558 1.1086779
## 6      Hays 4  8.500 0.5773503 0.2886751
## 7 Manhattan 4 20.650 5.7749459 2.8874729
## 8 Manhattan 4 15.575 0.8381527 0.4190764
## 9 Manhattan 4 23.975 5.7598466 2.8799233

3.9.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse         767.56  383.78     2    30  5.8723 0.0070437 ** 
## precip         2029.74 2029.74     1    30 31.0575 4.624e-06 ***
## landuse:precip 1238.34  619.17     2    30  9.4741 0.0006468 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse         721.38  360.69     2    27  6.0314 0.0068328 ** 
## precip         2068.41 1034.21     2    27 17.2938 1.463e-05 ***
## landuse:precip 1545.63  386.41     4    27  6.4614 0.0008785 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        3.92 3.87 27   -4.009     11.9
##  EA        6.17 3.87 27   -1.759     14.1
##  NP        7.62 3.87 27   -0.309     15.6
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG       13.95 3.87 27    6.016     21.9
##  EA       15.25 3.87 27    7.316     23.2
##  NP       11.00 3.87 27    3.066     18.9
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG       11.82 3.87 27    3.891     19.8
##  EA       18.10 3.87 27   10.166     26.0
##  NP       43.17 3.87 27   35.241     51.1
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP        7.62 3.87 27   -0.309     15.6  a    
##  EA        6.17 3.87 27   -1.759     14.1  a    
##  AG        3.92 3.87 27   -4.009     11.9  a    
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  EA       15.25 3.87 27    7.316     23.2  a    
##  AG       13.95 3.87 27    6.016     21.9  a    
##  NP       11.00 3.87 27    3.066     18.9  a    
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP       43.17 3.87 27   35.241     51.1  a    
##  EA       18.10 3.87 27   10.166     26.0   b   
##  AG       11.82 3.87 27    3.891     19.8   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip lsmean       SE df   lower.CL upper.CL .group
## 1      NP    472  7.625 3.866592 27 -0.3085911 15.55859      a
## 2      EA    472  6.175 3.866592 27 -1.7585911 14.10859      a
## 3      AG    472  3.925 3.866592 27 -4.0085911 11.85859      a
## 6      EA    579 15.250 3.866592 27  7.3164089 23.18359      a
## 4      AG    579 13.950 3.866592 27  6.0164089 21.88359      a
## 5      NP    579 11.000 3.866592 27  3.0664089 18.93359      a
## 7      NP    850 43.175 3.866592 27 35.2414089 51.10859     a 
## 8      EA    850 18.100 3.866592 27 10.1664089 26.03359      b
## 9      AG    850 11.825 3.866592 27  3.8914089 19.75859      b
##   precip landuse lsmean       SE df   lower.CL upper.CL .group  location n
## 1    472      AG  3.925 3.866592 27 -4.0085911 11.85859      a   Tribune 4
## 2    472      EA  6.175 3.866592 27 -1.7585911 14.10859      a   Tribune 4
## 3    472      NP  7.625 3.866592 27 -0.3085911 15.55859      a   Tribune 4
## 4    579      AG 13.950 3.866592 27  6.0164089 21.88359      a      Hays 4
## 5    579      EA 15.250 3.866592 27  7.3164089 23.18359      a      Hays 4
## 6    579      NP 11.000 3.866592 27  3.0664089 18.93359      a      Hays 4
## 7    850      AG 11.825 3.866592 27  3.8914089 19.75859      b Manhattan 4
## 8    850      EA 18.100 3.866592 27 10.1664089 26.03359      b Manhattan 4
## 9    850      NP 43.175 3.866592 27 35.2414089 51.10859     a  Manhattan 4
##     mean         sd         se
## 1  3.925  2.2035955  1.1017978
## 2  6.175  3.1255666  1.5627833
## 3  7.625  4.2405778  2.1202889
## 4 13.950  0.9327379  0.4663690
## 5 15.250  1.8929694  0.9464847
## 6 11.000  2.9439203  1.4719601
## 7 11.825  0.8883505  0.4441753
## 8 18.100  0.9345231  0.4672615
## 9 43.175 22.1546647 11.0773323

3.9.3 10-15 cm L*P

subset out na value greater than 170 mg/kg

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        2874.8  1437.4     2    29  5.8240 0.0074768 ** 
## precip         3987.5  3987.5     1    29 16.1562 0.0003794 ***
## landuse:precip 3894.5  1947.3     2    29  7.8898 0.0018370 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value   Pr(>F)   
## landuse        1246.2  623.08     2    26  2.5108 0.100694   
## precip         4073.6 2036.80     2    26  8.2078 0.001725 **
## landuse:precip 4596.1 1149.01     4    26  4.6302 0.005889 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        9.93 7.88 26    -6.27     26.1
##  EA        4.42 7.88 26   -11.77     20.6
##  NP        5.55 7.88 26   -10.64     21.7
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG       16.80 7.88 26     0.61     33.0
##  EA       16.75 7.88 26     0.56     32.9
##  NP        8.75 7.88 26    -7.44     24.9
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG       13.30 7.88 26    -2.89     29.5
##  EA       19.95 7.88 26     3.76     36.1
##  NP       65.07 9.32 26    45.90     84.2
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  AG        9.93 7.88 26    -6.27     26.1  a    
##  NP        5.55 7.88 26   -10.64     21.7  a    
##  EA        4.42 7.88 26   -11.77     20.6  a    
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  AG       16.80 7.88 26     0.61     33.0  a    
##  EA       16.75 7.88 26     0.56     32.9  a    
##  NP        8.75 7.88 26    -7.44     24.9  a    
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP       65.07 9.32 26    45.90     84.2  a    
##  EA       19.95 7.88 26     3.76     36.1   b   
##  AG       13.30 7.88 26    -2.89     29.5   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip   lsmean       SE df    lower.CL upper.CL .group
## 2      AG    472  9.92500 7.876463 26  -6.2653016  26.1153      a
## 3      NP    472  5.55000 7.876463 26 -10.6403016  21.7403      a
## 1      EA    472  4.42500 7.876463 26 -11.7653016  20.6153      a
## 6      AG    579 16.80000 7.876463 26   0.6096984  32.9903      a
## 5      EA    579 16.75000 7.876463 26   0.5596984  32.9403      a
## 4      NP    579  8.75000 7.876463 26  -7.4403016  24.9403      a
## 7      NP    850 65.06667 9.324084 26  45.9007373  84.2326     a 
## 8      EA    850 19.95000 7.876463 26   3.7596984  36.1403      b
## 9      AG    850 13.30000 7.876463 26  -2.8903016  29.4903      b
##   precip landuse   lsmean       SE df    lower.CL upper.CL .group  location n
## 1    472      AG  9.92500 7.876463 26  -6.2653016  26.1153      a   Tribune 4
## 2    472      EA  4.42500 7.876463 26 -11.7653016  20.6153      a   Tribune 4
## 3    472      NP  5.55000 7.876463 26 -10.6403016  21.7403      a   Tribune 4
## 4    579      AG 16.80000 7.876463 26   0.6096984  32.9903      a      Hays 4
## 5    579      EA 16.75000 7.876463 26   0.5596984  32.9403      a      Hays 4
## 6    579      NP  8.75000 7.876463 26  -7.4403016  24.9403      a      Hays 4
## 7    850      AG 13.30000 7.876463 26  -2.8903016  29.4903      b Manhattan 4
## 8    850      EA 19.95000 7.876463 26   3.7596984  36.1403      b Manhattan 4
## 9    850      NP 65.06667 9.324084 26  45.9007373  84.2326     a  Manhattan 3
##       mean         sd         se
## 1  9.92500  5.5017421  2.7508711
## 2  4.42500  0.9979145  0.4989572
## 3  5.55000  1.9824228  0.9912114
## 4 16.80000  1.9200694  0.9600347
## 5 16.75000  7.4105780  3.7052890
## 6  8.75000  0.5000000  0.2500000
## 7 13.30000  2.6419690  1.3209845
## 8 19.95000  1.1676187  0.5838093
## 9 65.06667 55.4294446 32.0022048

3.10 Extractable P Content (mg/kg)

3.10.1 0-5 cm L

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value  Pr(>F)  
## landuse        4022.1 2011.03     2 22.361  3.7651 0.03897 *
## precip           52.3   52.28     1 24.712  0.0979 0.75702  
## landuse:precip 2820.6 1410.30     2 22.361  2.6404 0.09345 .
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        99.2 19.6 8.17    54.27    144.1
##  EA       106.0 19.6 8.17    61.02    150.9
##  NP        51.3 19.6 8.17     6.33     96.2
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  EA       106.0 19.6 8.17    61.02    150.9  a    
##  AG        99.2 19.6 8.17    54.27    144.1  a    
##  NP        51.3 19.6 8.17     6.33     96.2   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse    lsmean       SE       df  lower.CL  upper.CL .group
## 3      EA 105.95222 19.55521 8.165458 61.016375 150.88807     a 
## 1      AG  99.21056 19.55521 8.165458 54.274708 144.14640     a 
## 2      NP  51.26889 19.55521 8.165458  6.333041  96.20474      b

3.10.2 5-10 cm P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse          7677    3838     2    30  2.6693   0.08572 .  
## precip          33278   33278     1    30 23.1426 3.975e-05 ***
## landuse:precip   6154    3077     2    30  2.1399   0.13528    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse         15284  7641.9     2    27  34.241 3.931e-08 ***
## precip          62416 31208.2     2    27 139.834 5.667e-15 ***
## landuse:precip  14130  3532.4     4    27  15.828 8.723e-07 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean   SE   df lower.CL upper.CL
##  472     115.6 4.31 24.8    106.7    124.5
##  579      28.2 4.31 14.8     19.0     37.4
##  850      26.5 4.31 14.8     17.3     35.7
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean   SE   df lower.CL upper.CL .group
##  472     115.6 4.31 24.8    106.7    124.5  a    
##  579      28.2 4.31 14.8     19.0     37.4   b   
##  850      26.5 4.31 14.8     17.3     35.7   b   
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip    lsmean       SE    df  lower.CL  upper.CL .group
## 3    472 115.63333 4.312573 24.75 106.74687 124.51980     a 
## 2    579  28.17500 4.312573 14.85  18.97487  37.37513      b
## 1    850  26.45833 4.312573 14.85  17.25821  35.65846      b

3.10.3 10-15 cm L*P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value   Pr(>F)   
## landuse        3435.1 1717.57     2 22.127  4.8386 0.018064 * 
## precip           60.7   60.66     1 25.600  0.1709 0.682762   
## landuse:precip 4844.3 2422.15     2 22.127  6.8234 0.004917 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF   DenDF F value    Pr(>F)    
## landuse         5499.4  2749.7     2 19.3987  8.2129 0.0026063 ** 
## precip         17013.2  8506.6     2  7.2177 25.4077 0.0005407 ***
## landuse:precip  6094.0  1523.5     4 19.3987  4.5505 0.0092835 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean  SE   df lower.CL upper.CL
##  AG       84.58 9.9 24.9    64.19    105.0
##  EA       86.17 9.9 24.9    65.79    106.6
##  NP       61.77 9.9 24.9    41.39     82.2
## 
## precip = 579:
##  landuse lsmean  SE   df lower.CL upper.CL
##  AG       12.35 9.9 24.9    -8.03     32.7
##  EA       26.85 9.9 24.9     6.47     47.2
##  NP        3.75 9.9 24.9   -16.63     24.1
## 
## precip = 850:
##  landuse lsmean  SE   df lower.CL upper.CL
##  AG       61.35 9.9 24.9    40.97     81.7
##  EA        4.42 9.9 24.9   -15.96     24.8
##  NP        2.08 9.9 24.9   -18.31     22.5
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean  SE   df lower.CL upper.CL .group
##  EA       86.17 9.9 24.9    65.79    106.6  a    
##  AG       84.58 9.9 24.9    64.19    105.0  a    
##  NP       61.77 9.9 24.9    41.39     82.2  a    
## 
## precip = 579:
##  landuse lsmean  SE   df lower.CL upper.CL .group
##  EA       26.85 9.9 24.9     6.47     47.2  a    
##  AG       12.35 9.9 24.9    -8.03     32.7  a    
##  NP        3.75 9.9 24.9   -16.63     24.1  a    
## 
## precip = 850:
##  landuse lsmean  SE   df lower.CL upper.CL .group
##  AG       61.35 9.9 24.9    40.97     81.7  a    
##  EA        4.42 9.9 24.9   -15.96     24.8   b   
##  NP        2.08 9.9 24.9   -18.31     22.5   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip lsmean      SE       df   lower.CL  upper.CL .group
## 3      EA    472 86.175 9.89593 24.93543  65.791274 106.55873      a
## 1      AG    472 84.575 9.89593 24.93543  64.191274 104.95873      a
## 2      NP    472 61.775 9.89593 24.93543  41.391274  82.15873      a
## 6      EA    579 26.850 9.89593 24.93543   6.466274  47.23373      a
## 4      AG    579 12.350 9.89593 24.93543  -8.033726  32.73373      a
## 5      NP    579  3.750 9.89593 24.93543 -16.633726  24.13373      a
## 9      AG    850 61.350 9.89593 24.93543  40.966274  81.73373     a 
## 8      EA    850  4.425 9.89593 24.93543 -15.958726  24.80873      b
## 7      NP    850  2.075 9.89593 24.93543 -18.308726  22.45873      b
##   precip landuse lsmean      SE       df   lower.CL  upper.CL .group  location
## 1    472      AG 84.575 9.89593 24.93543  64.191274 104.95873      a   Tribune
## 2    472      EA 86.175 9.89593 24.93543  65.791274 106.55873      a   Tribune
## 3    472      NP 61.775 9.89593 24.93543  41.391274  82.15873      a   Tribune
## 4    579      AG 12.350 9.89593 24.93543  -8.033726  32.73373      a      Hays
## 5    579      EA 26.850 9.89593 24.93543   6.466274  47.23373      a      Hays
## 6    579      NP  3.750 9.89593 24.93543 -16.633726  24.13373      a      Hays
## 7    850      AG 61.350 9.89593 24.93543  40.966274  81.73373     a  Manhattan
## 8    850      EA  4.425 9.89593 24.93543 -15.958726  24.80873      b Manhattan
## 9    850      NP  2.075 9.89593 24.93543 -18.308726  22.45873      b Manhattan
##   n   mean         sd          se
## 1 4 84.575 26.7666926 13.38334631
## 2 4 86.175 24.3420589 12.17102947
## 3 4 61.775 15.7167374  7.85836868
## 4 4 12.350  8.5574529  4.27872645
## 5 4 26.850 17.0187152  8.50935759
## 6 4  3.750  1.5800844  0.79004219
## 7 4 61.350 39.4744221 19.73721105
## 8 4  4.425  0.7088723  0.35443617
## 9 4  2.075  0.1707825  0.08539126

3.11 Extractable K Content (mg/kg)

3.11.1 0-5 cm L*P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        243718  121859     2 20.875  11.264 0.0004809 ***
## precip         543302  543302     1 28.478  50.218 9.439e-08 ***
## landuse:precip 235695  117847     2 20.875  10.893 0.0005756 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF  F value    Pr(>F)    
## landuse          34783   17392     2    27   1.8390 0.1783388    
## precip         2056627 1028313     2    27 108.7343 1.209e-13 ***
## landuse:precip  289676   72419     4    27   7.6576 0.0002932 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        1005 48.6 27      905     1105
##  EA        1092 48.6 27      992     1192
##  NP         827 48.6 27      728      927
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG         565 48.6 27      465      665
##  EA         706 48.6 27      606      806
##  NP         614 48.6 27      514      713
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG         506 48.6 27      406      605
##  EA         249 48.6 27      149      348
##  NP         424 48.6 27      324      524
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  EA        1092 48.6 27      992     1192  a    
##  AG        1005 48.6 27      905     1105  a    
##  NP         827 48.6 27      728      927   b   
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  EA         706 48.6 27      606      806  a    
##  NP         614 48.6 27      514      713  a    
##  AG         565 48.6 27      465      665  a    
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  AG         506 48.6 27      406      605  a    
##  NP         424 48.6 27      324      524  a    
##  EA         249 48.6 27      149      348   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip   lsmean       SE df lower.CL  upper.CL .group
## 3      EA    472 1092.025 48.62387 27 992.2571 1191.7929     a 
## 1      AG    472 1004.825 48.62387 27 905.0571 1104.5929     a 
## 2      NP    472  827.400 48.62387 27 727.6321  927.1679      b
## 4      EA    579  706.000 48.62387 27 606.2321  805.7679      a
## 6      NP    579  613.500 48.62387 27 513.7321  713.2679      a
## 5      AG    579  565.175 48.62387 27 465.4071  664.9429      a
## 8      AG    850  505.700 48.62387 27 405.9321  605.4679     a 
## 9      NP    850  424.075 48.62387 27 324.3071  523.8429     a 
## 7      EA    850  248.650 48.62387 27 148.8821  348.4179      b
##   precip landuse   lsmean       SE df lower.CL  upper.CL .group  location n
## 1    472      AG 1004.825 48.62387 27 905.0571 1104.5929     a    Tribune 4
## 2    472      EA 1092.025 48.62387 27 992.2571 1191.7929     a    Tribune 4
## 3    472      NP  827.400 48.62387 27 727.6321  927.1679      b   Tribune 4
## 4    579      AG  565.175 48.62387 27 465.4071  664.9429      a      Hays 4
## 5    579      EA  706.000 48.62387 27 606.2321  805.7679      a      Hays 4
## 6    579      NP  613.500 48.62387 27 513.7321  713.2679      a      Hays 4
## 7    850      AG  505.700 48.62387 27 405.9321  605.4679     a  Manhattan 4
## 8    850      EA  248.650 48.62387 27 148.8821  348.4179      b Manhattan 4
## 9    850      NP  424.075 48.62387 27 324.3071  523.8429     a  Manhattan 4
##       mean        sd       se
## 1 1004.825  47.99468 23.99734
## 2 1092.025 152.70687 76.35344
## 3  827.400 122.95197 61.47598
## 4  565.175  36.14115 18.07057
## 5  706.000  99.23709 49.61854
## 6  613.500  44.59073 22.29537
## 7  505.700 140.07153 70.03576
## 8  248.650   6.40026  3.20013
## 9  424.075 107.56639 53.78320

3.11.2 5-10 cm P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF  F value    Pr(>F)    
## landuse          52814   26407     2 21.421   2.8658   0.07891 .  
## precip         1169188 1169188     1 29.981 126.8859 2.687e-12 ***
## landuse:precip   49780   24890     2 20.649   2.7012   0.09077 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF   DenDF  F value    Pr(>F)    
## landuse         32762   16381     2 15.7489   5.4118 0.0162582 *  
## precip         629971  314985     2  8.8449 104.0603 7.147e-07 ***
## landuse:precip 120576   30144     4 14.4615   9.9585 0.0004418 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean   SE   df lower.CL upper.CL
##  472       819 38.2 7.14      729      909
##  579       558 49.2 6.10      438      678
##  850       292 49.2 6.10      172      412
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean   SE   df lower.CL upper.CL .group
##  472       819 38.2 7.14      729      909  a    
##  579       558 49.2 6.10      438      678   b   
##  850       292 49.2 6.10      172      412    c  
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean       SE       df lower.CL upper.CL .group
## 3    472 818.9583 38.17651 7.143407 729.0513 908.8653    a  
## 2    579 558.2333 49.20981 6.101908 438.3071 678.1596     b 
## 1    850 291.6917 49.20981 6.101908 171.7654 411.6179      c

3.11.3 10-15 cm P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF  F value    Pr(>F)    
## landuse          37264   18632     2 19.520   2.7769   0.08683 .  
## precip         1217054 1217054     1 18.019 181.3872 7.596e-11 ***
## landuse:precip   31742   15871     2 19.520   2.3654   0.12027    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse          53430   26715     2 18.193  4.8484   0.02052 *  
## precip         1071859  535929     2  6.321 97.2625 1.789e-05 ***
## landuse:precip   65962   16490     4 18.193  2.9927   0.04637 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean   SE   df lower.CL upper.CL
##  472       706 23.9 10.9      653      758
##  579       543 23.9 10.9      490      596
##  850       253 23.9 10.9      201      306
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean   SE   df lower.CL upper.CL .group
##  472       706 23.9 10.9      653      758  a    
##  579       543 23.9 10.9      490      596   b   
##  850       253 23.9 10.9      201      306    c  
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean       SE       df lower.CL upper.CL .group
## 3    472 705.5083 23.92297 10.86171 652.7723 758.2443    a  
## 2    579 542.7833 23.92297 10.86171 490.0473 595.5193     b 
## 1    850 253.3417 23.92297 10.86171 200.6057 306.0777      c

3.12 Extractable Zn Content (mg/kg)

dont have any significances - didnt do any graphs

3.12.1 0-5 cm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value Pr(>F)
## landuse        6.5639  3.2820     2 23.060  1.8274 0.1834
## precip         3.9597  3.9597     1 25.815  2.2048 0.1497
## landuse:precip 2.1397  1.0698     2 23.060  0.5957 0.5594

3.12.2 5-10 cm

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF F value Pr(>F)
## landuse        0.73378 0.36689     2 26.774  1.2090 0.3143
## precip         0.66870 0.66870     1 29.985  2.2034 0.1481
## landuse:precip 0.73000 0.36500     2 26.336  1.2027 0.3163

3.12.3 10-15 cm

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq  Mean Sq NumDF  DenDF F value  Pr(>F)  
## landuse        0.36864 0.184322     2 20.070  2.6635 0.09420 .
## precip         0.07967 0.079669     1 21.808  1.1513 0.29502  
## landuse:precip 0.40302 0.201509     2 20.070  2.9119 0.07756 .
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

3.13 Extractable Fe Content (mg/kg)

3.13.1 0-5 cm L*P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        2419.8 1209.92     2    30  9.0976 0.0008162 ***
## precip            0.3    0.27     1    30  0.0020 0.9645424    
## landuse:precip 4399.9 2199.96     2    30 16.5418 1.439e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        4841.8  2420.9     2    27 16.6676 1.931e-05 ***
## precip           53.0    26.5     2    27  0.1824 0.8342736    
## landuse:precip 4415.3  1103.8     4    27  7.5997 0.0003086 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        49.8 6.03 27   37.461     62.2
##  EA        55.3 6.03 27   42.961     67.7
##  NP        42.7 6.03 27   30.336     55.1
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        35.5 6.03 27   23.161     47.9
##  EA        55.5 6.03 27   43.136     67.9
##  NP        48.1 6.03 27   35.736     60.5
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        11.7 6.03 27   -0.664     24.1
##  EA        69.4 6.03 27   57.011     81.7
##  NP        64.0 6.03 27   51.636     76.4
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  EA        55.3 6.03 27   42.961     67.7  a    
##  AG        49.8 6.03 27   37.461     62.2  a    
##  NP        42.7 6.03 27   30.336     55.1  a    
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  EA        55.5 6.03 27   43.136     67.9  a    
##  NP        48.1 6.03 27   35.736     60.5  ab   
##  AG        35.5 6.03 27   23.161     47.9   b   
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  EA        69.4 6.03 27   57.011     81.7  a    
##  NP        64.0 6.03 27   51.636     76.4  a    
##  AG        11.7 6.03 27   -0.664     24.1   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip lsmean       SE df   lower.CL upper.CL .group
## 3      EA    472 55.325 6.025924 27 42.9608254 67.68917      a
## 1      AG    472 49.825 6.025924 27 37.4608254 62.18917      a
## 2      NP    472 42.700 6.025924 27 30.3358254 55.06417      a
## 4      EA    579 55.500 6.025924 27 43.1358254 67.86417     a 
## 6      NP    579 48.100 6.025924 27 35.7358254 60.46417     ab
## 5      AG    579 35.525 6.025924 27 23.1608254 47.88917      b
## 7      EA    850 69.375 6.025924 27 57.0108254 81.73917     a 
## 9      NP    850 64.000 6.025924 27 51.6358254 76.36417     a 
## 8      AG    850 11.700 6.025924 27 -0.6641746 24.06417      b
##   precip landuse lsmean       SE df   lower.CL upper.CL .group  location n
## 1    472      AG 49.825 6.025924 27 37.4608254 62.18917      a   Tribune 4
## 2    472      EA 55.325 6.025924 27 42.9608254 67.68917      a   Tribune 4
## 3    472      NP 42.700 6.025924 27 30.3358254 55.06417      a   Tribune 4
## 4    579      AG 35.525 6.025924 27 23.1608254 47.88917      b      Hays 4
## 5    579      EA 55.500 6.025924 27 43.1358254 67.86417     a       Hays 4
## 6    579      NP 48.100 6.025924 27 35.7358254 60.46417     ab      Hays 4
## 7    850      AG 11.700 6.025924 27 -0.6641746 24.06417      b Manhattan 4
## 8    850      EA 69.375 6.025924 27 57.0108254 81.73917     a  Manhattan 4
## 9    850      NP 64.000 6.025924 27 51.6358254 76.36417     a  Manhattan 4
##     mean         sd        se
## 1 49.825 15.9990364 7.9995182
## 2 55.325 18.7997119 9.3998559
## 3 42.700  7.6284555 3.8142278
## 4 35.525  2.4904819 1.2452409
## 5 55.500 15.2750341 7.6375170
## 6 48.100  8.3454578 4.1727289
## 7 11.700  0.8906926 0.4453463
## 8 69.375  5.1519414 2.5759707
## 9 64.000 17.4103418 8.7051709

3.13.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        6504.4  3252.2     2 24.791  19.432 8.386e-06 ***
## precip         2731.7  2731.7     1 29.957  16.322 0.0003427 ***
## landuse:precip 9592.0  4796.0     2 24.225  28.656 4.126e-07 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        3358.8  1679.4     2 23.559 10.2025 0.0006433 ***
## precip         3249.6  1624.8     2 17.795  9.8709 0.0013055 ** 
## landuse:precip 9292.7  2323.2     4 22.012 14.1134 7.495e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        47.7 6.95 24.4    33.38     62.1
##  EA        42.1 6.95 24.4    27.76     56.4
##  NP        31.0 6.95 24.4    16.63     45.3
## 
## precip = 579:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        31.8 6.95 24.4    17.48     46.2
##  EA        35.8 6.95 24.4    21.41     50.1
##  NP        39.1 6.95 24.4    24.76     53.4
## 
## precip = 850:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        11.8 6.95 24.4    -2.59     26.1
##  EA        79.8 6.95 24.4    65.43     94.1
##  NP        82.2 6.95 24.4    67.83     96.5
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  AG        47.7 6.95 24.4    33.38     62.1  a    
##  EA        42.1 6.95 24.4    27.76     56.4  a    
##  NP        31.0 6.95 24.4    16.63     45.3  a    
## 
## precip = 579:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP        39.1 6.95 24.4    24.76     53.4  a    
##  EA        35.8 6.95 24.4    21.41     50.1  a    
##  AG        31.8 6.95 24.4    17.48     46.2  a    
## 
## precip = 850:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP        82.2 6.95 24.4    67.83     96.5  a    
##  EA        79.8 6.95 24.4    65.43     94.1  a    
##  AG        11.8 6.95 24.4    -2.59     26.1   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip lsmean       SE       df  lower.CL upper.CL .group
## 3      AG    472 47.725 6.954584 24.42382 33.384614 62.06539      a
## 2      EA    472 42.100 6.954584 24.42382 27.759614 56.44039      a
## 1      NP    472 30.975 6.954584 24.42382 16.634614 45.31539      a
## 4      NP    579 39.100 6.954584 24.42382 24.759614 53.44039      a
## 5      EA    579 35.750 6.954584 24.42382 21.409614 50.09039      a
## 6      AG    579 31.825 6.954584 24.42382 17.484614 46.16539      a
## 7      NP    850 82.175 6.954584 24.42382 67.834614 96.51539     a 
## 8      EA    850 79.775 6.954584 24.42382 65.434614 94.11539     a 
## 9      AG    850 11.750 6.954584 24.42382 -2.590386 26.09039      b
##   precip landuse lsmean       SE       df  lower.CL upper.CL .group  location n
## 1    472      AG 47.725 6.954584 24.42382 33.384614 62.06539      a   Tribune 4
## 2    472      EA 42.100 6.954584 24.42382 27.759614 56.44039      a   Tribune 4
## 3    472      NP 30.975 6.954584 24.42382 16.634614 45.31539      a   Tribune 4
## 4    579      AG 31.825 6.954584 24.42382 17.484614 46.16539      a      Hays 4
## 5    579      EA 35.750 6.954584 24.42382 21.409614 50.09039      a      Hays 4
## 6    579      NP 39.100 6.954584 24.42382 24.759614 53.44039      a      Hays 4
## 7    850      AG 11.750 6.954584 24.42382 -2.590386 26.09039      b Manhattan 4
## 8    850      EA 79.775 6.954584 24.42382 65.434614 94.11539     a  Manhattan 4
## 9    850      NP 82.175 6.954584 24.42382 67.834614 96.51539     a  Manhattan 4
##     mean         sd         se
## 1 47.725 15.1831870  7.5915935
## 2 42.100 21.8546715 10.9273358
## 3 30.975  6.6575146  3.3287573
## 4 31.825  3.4874776  1.7437388
## 5 35.750 12.8375751  6.4187875
## 6 39.100  1.7907168  0.8953584
## 7 11.750  0.3316625  0.1658312
## 8 79.775  4.3614791  2.1807396
## 9 82.175 27.9385486 13.9692743

3.13.3 10-15 cm L*P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        3931.7  1965.8     2 23.996  10.479 0.0005357 ***
## precip         8960.2  8960.2     1 23.997  47.764 3.799e-07 ***
## landuse:precip 5957.0  2978.5     2 23.996  15.877 4.049e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        2495.1  1247.5     2 21.984  7.6293  0.003045 ** 
## precip         9160.5  4580.2     2 11.360 28.0105 4.059e-05 ***
## landuse:precip 6773.5  1693.4     4 21.984 10.3558 7.180e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        24.2 6.61 26.6    10.67     37.8
##  EA        26.2 6.61 26.6    12.62     39.8
##  NP        19.1 6.61 26.6     5.57     32.7
## 
## precip = 579:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        29.0 6.61 26.6    15.44     42.6
##  EA        20.1 6.61 26.6     6.52     33.7
##  NP        30.5 6.61 26.6    16.92     44.1
## 
## precip = 850:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        21.6 6.61 26.6     7.99     35.2
##  EA        75.2 6.61 26.6    61.62     88.8
##  NP        82.8 6.61 26.6    69.22     96.4
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  EA        26.2 6.61 26.6    12.62     39.8  a    
##  AG        24.2 6.61 26.6    10.67     37.8  a    
##  NP        19.1 6.61 26.6     5.57     32.7  a    
## 
## precip = 579:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP        30.5 6.61 26.6    16.92     44.1  a    
##  AG        29.0 6.61 26.6    15.44     42.6  a    
##  EA        20.1 6.61 26.6     6.52     33.7  a    
## 
## precip = 850:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP        82.8 6.61 26.6    69.22     96.4  a    
##  EA        75.2 6.61 26.6    61.62     88.8  a    
##  AG        21.6 6.61 26.6     7.99     35.2   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip lsmean       SE       df  lower.CL upper.CL .group
## 3      EA    472 26.200 6.613531 26.54873 12.619354 39.78065      a
## 1      AG    472 24.250 6.613531 26.54873 10.669354 37.83065      a
## 2      NP    472 19.150 6.613531 26.54873  5.569354 32.73065      a
## 5      NP    579 30.500 6.613531 26.54873 16.919354 44.08065      a
## 4      AG    579 29.025 6.613531 26.54873 15.444354 42.60565      a
## 6      EA    579 20.100 6.613531 26.54873  6.519354 33.68065      a
## 7      NP    850 82.800 6.613531 26.54873 69.219354 96.38065     a 
## 8      EA    850 75.200 6.613531 26.54873 61.619354 88.78065     a 
## 9      AG    850 21.575 6.613531 26.54873  7.994354 35.15565      b
##   precip landuse lsmean       SE       df  lower.CL upper.CL .group  location n
## 1    472      AG 24.250 6.613531 26.54873 10.669354 37.83065      a   Tribune 4
## 2    472      EA 26.200 6.613531 26.54873 12.619354 39.78065      a   Tribune 4
## 3    472      NP 19.150 6.613531 26.54873  5.569354 32.73065      a   Tribune 4
## 4    579      AG 29.025 6.613531 26.54873 15.444354 42.60565      a      Hays 4
## 5    579      EA 20.100 6.613531 26.54873  6.519354 33.68065      a      Hays 4
## 6    579      NP 30.500 6.613531 26.54873 16.919354 44.08065      a      Hays 4
## 7    850      AG 21.575 6.613531 26.54873  7.994354 35.15565      b Manhattan 4
## 8    850      EA 75.200 6.613531 26.54873 61.619354 88.78065     a  Manhattan 4
## 9    850      NP 82.800 6.613531 26.54873 69.219354 96.38065     a  Manhattan 4
##     mean        sd         se
## 1 24.250 13.113987  6.5569937
## 2 26.200 13.769774  6.8848868
## 3 19.150  4.624932  2.3124662
## 4 29.025  5.062526  2.5312629
## 5 20.100  7.365234  3.6826168
## 6 30.500  1.487728  0.7438638
## 7 21.575 13.131229  6.5656143
## 8 75.200  3.262923  1.6314615
## 9 82.800 30.470313 15.2351567

3.14 pH

3.14.1 0-5 cm L*P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse         4.9834  2.4917     2    30  24.884 4.259e-07 ***
## precip         11.7672 11.7672     1    30 117.519 6.758e-12 ***
## landuse:precip  5.8123  2.9061     2    30  29.024 9.685e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse         2.4267  1.2133     2    27  13.537 8.473e-05 ***
## precip         11.7950  5.8975     2    27  65.799 4.163e-11 ***
## landuse:precip  6.3683  1.5921     4    27  17.763 2.961e-07 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean     SE   df lower.CL upper.CL
##  AG        6.32 0.0864 24.3     6.14     6.49
##  EA        5.75 0.0864 24.3     5.57     5.93
##  NP        6.28 0.0864 24.3     6.11     6.46
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean     SE   df lower.CL upper.CL .group
##  AG        6.32 0.0864 24.3     6.14     6.49  a    
##  NP        6.28 0.0864 24.3     6.11     6.46  a    
##  EA        5.75 0.0864 24.3     5.57     5.93   b   
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse   lsmean         SE   df lower.CL upper.CL .group
## 2      AG 6.316667 0.08642416 24.3 6.138412 6.494921     a 
## 3      NP 6.283333 0.08642416 24.3 6.105079 6.461588     a 
## 1      EA 5.750000 0.08642416 24.3 5.571746 5.928254      b

##  precip lsmean     SE   df lower.CL upper.CL
##  472      5.51 0.0864 13.5     5.32     5.69
##  579      5.96 0.0864 13.5     5.77     6.14
##  850      6.88 0.0864 13.5     6.70     7.07
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean     SE   df lower.CL upper.CL .group
##  850      6.88 0.0864 13.5     6.70     7.07  a    
##  579      5.96 0.0864 13.5     5.77     6.14   b   
##  472      5.51 0.0864 13.5     5.32     5.69    c  
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean         SE   df lower.CL upper.CL .group
## 1    850 6.883333 0.08642416 13.5 6.697326 7.069341    a  
## 2    579 5.958333 0.08642416 13.5 5.772326 6.144341     b 
## 3    472 5.508333 0.08642416 13.5 5.322326 5.694341      c

## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        5.30 0.15 27     4.99     5.61
##  EA        5.17 0.15 27     4.87     5.48
##  NP        6.05 0.15 27     5.74     6.36
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        5.75 0.15 27     5.44     6.06
##  EA        5.85 0.15 27     5.54     6.16
##  NP        6.28 0.15 27     5.97     6.58
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        7.90 0.15 27     7.59     8.21
##  EA        6.22 0.15 27     5.92     6.53
##  NP        6.53 0.15 27     6.22     6.83
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP        6.05 0.15 27     5.74     6.36  a    
##  AG        5.30 0.15 27     4.99     5.61   b   
##  EA        5.17 0.15 27     4.87     5.48   b   
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP        6.28 0.15 27     5.97     6.58  a    
##  EA        5.85 0.15 27     5.54     6.16  ab   
##  AG        5.75 0.15 27     5.44     6.06   b   
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  AG        7.90 0.15 27     7.59     8.21  a    
##  NP        6.53 0.15 27     6.22     6.83   b   
##  EA        6.22 0.15 27     5.92     6.53   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip lsmean       SE df lower.CL upper.CL .group
## 2      NP    472  6.050 0.149691 27 5.742859 6.357141     a 
## 1      AG    472  5.300 0.149691 27 4.992859 5.607141      b
## 3      EA    472  5.175 0.149691 27 4.867859 5.482141      b
## 4      NP    579  6.275 0.149691 27 5.967859 6.582141     a 
## 5      EA    579  5.850 0.149691 27 5.542859 6.157141     ab
## 6      AG    579  5.750 0.149691 27 5.442859 6.057141      b
## 8      AG    850  7.900 0.149691 27 7.592859 8.207141     a 
## 9      NP    850  6.525 0.149691 27 6.217859 6.832141      b
## 7      EA    850  6.225 0.149691 27 5.917859 6.532141      b
##   precip landuse lsmean       SE df lower.CL upper.CL .group  location n  mean
## 1    472      AG  5.300 0.149691 27 4.992859 5.607141      b   Tribune 4 5.300
## 2    472      EA  5.175 0.149691 27 4.867859 5.482141      b   Tribune 4 5.175
## 3    472      NP  6.050 0.149691 27 5.742859 6.357141     a    Tribune 4 6.050
## 4    579      AG  5.750 0.149691 27 5.442859 6.057141      b      Hays 4 5.750
## 5    579      EA  5.850 0.149691 27 5.542859 6.157141     ab      Hays 4 5.850
## 6    579      NP  6.275 0.149691 27 5.967859 6.582141     a       Hays 4 6.275
## 7    850      AG  7.900 0.149691 27 7.592859 8.207141     a  Manhattan 4 7.900
## 8    850      EA  6.225 0.149691 27 5.917859 6.532141      b Manhattan 4 6.225
## 9    850      NP  6.525 0.149691 27 6.217859 6.832141      b Manhattan 4 6.525
##           sd         se
## 1 0.53541261 0.26770631
## 2 0.59090326 0.29545163
## 3 0.10000000 0.05000000
## 4 0.05773503 0.02886751
## 5 0.28867513 0.14433757
## 6 0.18929694 0.09464847
## 7 0.08164966 0.04082483
## 8 0.17078251 0.08539126
## 9 0.05000000 0.02500000

3.14.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        7.1871  3.5936     2 21.524  24.336 2.985e-06 ***
## precip         2.0640  2.0640     1 29.999  13.977 0.0007789 ***
## landuse:precip 9.1369  4.5684     2 20.759  30.938 5.926e-07 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        1.2084 0.60418     2 20.755  4.7937  0.019430 *  
## precip         2.5870 1.29348     2 10.673 10.2627  0.003266 ** 
## landuse:precip 9.8712 2.46781     4 17.537 19.5801 2.778e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean    SE   df lower.CL upper.CL
##  AG        5.60 0.203 21.5     5.18     6.02
##  EA        5.83 0.203 21.5     5.40     6.25
##  NP        6.25 0.203 21.5     5.83     6.67
## 
## precip = 579:
##  landuse lsmean    SE   df lower.CL upper.CL
##  AG        5.92 0.203 21.5     5.50     6.35
##  EA        6.45 0.203 21.5     6.03     6.87
##  NP        6.35 0.203 21.5     5.93     6.77
## 
## precip = 850:
##  landuse lsmean    SE   df lower.CL upper.CL
##  AG        7.92 0.203 21.5     7.50     8.35
##  EA        5.78 0.203 21.5     5.35     6.20
##  NP        6.25 0.203 21.5     5.83     6.67
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean    SE   df lower.CL upper.CL .group
##  NP        6.25 0.203 21.5     5.83     6.67  a    
##  EA        5.83 0.203 21.5     5.40     6.25  ab   
##  AG        5.60 0.203 21.5     5.18     6.02   b   
## 
## precip = 579:
##  landuse lsmean    SE   df lower.CL upper.CL .group
##  EA        6.45 0.203 21.5     6.03     6.87  a    
##  NP        6.35 0.203 21.5     5.93     6.77  ab   
##  AG        5.92 0.203 21.5     5.50     6.35   b   
## 
## precip = 850:
##  landuse lsmean    SE   df lower.CL upper.CL .group
##  AG        7.92 0.203 21.5     7.50     8.35  a    
##  NP        6.25 0.203 21.5     5.83     6.67   b   
##  EA        5.78 0.203 21.5     5.35     6.20   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip lsmean        SE       df lower.CL upper.CL .group
## 1      NP    472  6.250 0.2030546 21.51346 5.828338 6.671662     a 
## 2      EA    472  5.825 0.2030546 21.51346 5.403338 6.246662     ab
## 3      AG    472  5.600 0.2030546 21.51346 5.178338 6.021662      b
## 4      EA    579  6.450 0.2030546 21.51346 6.028338 6.871662     a 
## 6      NP    579  6.350 0.2030546 21.51346 5.928338 6.771662     ab
## 5      AG    579  5.925 0.2030546 21.51346 5.503338 6.346662      b
## 8      AG    850  7.925 0.2030546 21.51346 7.503338 8.346662     a 
## 9      NP    850  6.250 0.2030546 21.51346 5.828338 6.671662      b
## 7      EA    850  5.775 0.2030546 21.51346 5.353338 6.196662      b
##   precip landuse lsmean        SE       df lower.CL upper.CL .group  location n
## 1    472      AG  5.600 0.2030546 21.51346 5.178338 6.021662      b   Tribune 4
## 2    472      EA  5.825 0.2030546 21.51346 5.403338 6.246662     ab   Tribune 4
## 3    472      NP  6.250 0.2030546 21.51346 5.828338 6.671662     a    Tribune 4
## 4    579      AG  5.925 0.2030546 21.51346 5.503338 6.346662      b      Hays 4
## 5    579      EA  6.450 0.2030546 21.51346 6.028338 6.871662     a       Hays 4
## 6    579      NP  6.350 0.2030546 21.51346 5.928338 6.771662     ab      Hays 4
## 7    850      AG  7.925 0.2030546 21.51346 7.503338 8.346662     a  Manhattan 4
## 8    850      EA  5.775 0.2030546 21.51346 5.353338 6.196662      b Manhattan 4
## 9    850      NP  6.250 0.2030546 21.51346 5.828338 6.671662      b Manhattan 4
##    mean         sd         se
## 1 5.600 0.67330033 0.33665016
## 2 5.825 0.82613558 0.41306779
## 3 6.250 0.20816660 0.10408330
## 4 5.925 0.09574271 0.04787136
## 5 6.450 0.36968455 0.18484228
## 6 6.350 0.10000000 0.05000000
## 7 7.925 0.05000000 0.02500000
## 8 5.775 0.05000000 0.02500000
## 9 6.250 0.23804761 0.11902381

3.14.3 10-15 cm L*P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value   Pr(>F)    
## landuse        4.1797 2.08987     2    30   7.972 0.001673 ** 
## precip         0.4226 0.42259     1    30   1.612 0.213972    
## landuse:precip 5.2378 2.61891     2    30   9.990 0.000473 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF   DenDF F value    Pr(>F)    
## landuse        0.6350 0.31750     2 17.6191  1.7504 0.2025847    
## precip         0.3108 0.15539     2  5.3252  0.8567 0.4758018    
## landuse:precip 7.2183 1.80458     4 17.6191  9.9490 0.0002148 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean    SE   df lower.CL upper.CL
##  AG        6.60 0.235 24.1     6.12     7.08
##  EA        6.60 0.235 24.1     6.12     7.08
##  NP        7.00 0.235 24.1     6.52     7.48
## 
## precip = 579:
##  landuse lsmean    SE   df lower.CL upper.CL
##  AG        6.15 0.235 24.1     5.67     6.63
##  EA        6.90 0.235 24.1     6.42     7.38
##  NP        6.53 0.235 24.1     6.04     7.01
## 
## precip = 850:
##  landuse lsmean    SE   df lower.CL upper.CL
##  AG        7.42 0.235 24.1     6.94     7.91
##  EA        5.70 0.235 24.1     5.22     6.18
##  NP        6.20 0.235 24.1     5.72     6.68
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean    SE   df lower.CL upper.CL .group
##  NP        7.00 0.235 24.1     6.52     7.48  a    
##  EA        6.60 0.235 24.1     6.12     7.08  a    
##  AG        6.60 0.235 24.1     6.12     7.08  a    
## 
## precip = 579:
##  landuse lsmean    SE   df lower.CL upper.CL .group
##  EA        6.90 0.235 24.1     6.42     7.38  a    
##  NP        6.53 0.235 24.1     6.04     7.01  ab   
##  AG        6.15 0.235 24.1     5.67     6.63   b   
## 
## precip = 850:
##  landuse lsmean    SE   df lower.CL upper.CL .group
##  AG        7.42 0.235 24.1     6.94     7.91  a    
##  NP        6.20 0.235 24.1     5.72     6.68   b   
##  EA        5.70 0.235 24.1     5.22     6.18   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip lsmean        SE       df lower.CL upper.CL .group
## 1      NP    472  7.000 0.2346744 24.07352 6.515734 7.484266      a
## 2      EA    472  6.600 0.2346744 24.07352 6.115734 7.084266      a
## 3      AG    472  6.600 0.2346744 24.07352 6.115734 7.084266      a
## 4      EA    579  6.900 0.2346744 24.07352 6.415734 7.384266     a 
## 6      NP    579  6.525 0.2346744 24.07352 6.040734 7.009266     ab
## 5      AG    579  6.150 0.2346744 24.07352 5.665734 6.634266      b
## 8      AG    850  7.425 0.2346744 24.07352 6.940734 7.909266     a 
## 9      NP    850  6.200 0.2346744 24.07352 5.715734 6.684266      b
## 7      EA    850  5.700 0.2346744 24.07352 5.215734 6.184266      b
##   precip landuse lsmean        SE       df lower.CL upper.CL .group  location n
## 1    472      AG  6.600 0.2346744 24.07352 6.115734 7.084266      a   Tribune 4
## 2    472      EA  6.600 0.2346744 24.07352 6.115734 7.084266      a   Tribune 4
## 3    472      NP  7.000 0.2346744 24.07352 6.515734 7.484266      a   Tribune 4
## 4    579      AG  6.150 0.2346744 24.07352 5.665734 6.634266      b      Hays 4
## 5    579      EA  6.900 0.2346744 24.07352 6.415734 7.384266     a       Hays 4
## 6    579      NP  6.525 0.2346744 24.07352 6.040734 7.009266     ab      Hays 4
## 7    850      AG  7.425 0.2346744 24.07352 6.940734 7.909266     a  Manhattan 4
## 8    850      EA  5.700 0.2346744 24.07352 5.215734 6.184266      b Manhattan 4
## 9    850      NP  6.200 0.2346744 24.07352 5.715734 6.684266      b Manhattan 4
##    mean         sd         se
## 1 6.600 0.87559504 0.43779752
## 2 6.600 0.71647284 0.35823642
## 3 7.000 0.34641016 0.17320508
## 4 6.150 0.19148542 0.09574271
## 5 6.900 0.29439203 0.14719601
## 6 6.525 0.15000000 0.07500000
## 7 7.425 0.59090326 0.29545163
## 8 5.700 0.08164966 0.04082483
## 9 6.200 0.14142136 0.07071068

3.15 Water Moisture

3.15.1 0-5 cm L*P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse         710.43  355.22     2 19.605  13.056 0.0002487 ***
## precip         1737.68 1737.68     1 29.609  63.866 7.041e-09 ***
## landuse:precip 1125.78  562.89     2 19.605  20.688 1.476e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        1385.5  692.73     2    27  44.306 2.971e-09 ***
## precip         2044.2 1022.11     2    27  65.373 4.477e-11 ***
## landuse:precip 1373.0  343.26     4    27  21.955 3.692e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        7.99 1.98 27     3.94     12.1
##  EA       18.48 1.98 27    14.42     22.5
##  NP       23.09 1.98 27    19.04     27.2
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        9.90 1.98 27     5.85     14.0
##  EA       11.51 1.98 27     7.46     15.6
##  NP       13.40 1.98 27     9.35     17.5
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG       26.85 1.98 27    22.79     30.9
##  EA       14.15 1.98 27    10.09     18.2
##  NP       47.42 1.98 27    43.36     51.5
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP       23.09 1.98 27    19.04     27.2  a    
##  EA       18.48 1.98 27    14.42     22.5  a    
##  AG        7.99 1.98 27     3.94     12.1   b   
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP       13.40 1.98 27     9.35     17.5  a    
##  EA       11.51 1.98 27     7.46     15.6  a    
##  AG        9.90 1.98 27     5.85     14.0  a    
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP       47.42 1.98 27    43.36     51.5  a    
##  AG       26.85 1.98 27    22.79     30.9   b   
##  EA       14.15 1.98 27    10.09     18.2    c  
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip    lsmean       SE df  lower.CL upper.CL .group
## 1      NP    472 23.094419 1.977066 27 19.037815 27.15102     a 
## 2      EA    472 18.477766 1.977066 27 14.421162 22.53437     a 
## 3      AG    472  7.993733 1.977066 27  3.937129 12.05034      b
## 4      NP    579 13.403599 1.977066 27  9.346995 17.46020      a
## 5      EA    579 11.511773 1.977066 27  7.455169 15.56838      a
## 6      AG    579  9.902225 1.977066 27  5.845620 13.95883      a
## 8      NP    850 47.419133 1.977066 27 43.362528 51.47574    a  
## 7      AG    850 26.845140 1.977066 27 22.788536 30.90174     b 
## 9      EA    850 14.150962 1.977066 27 10.094358 18.20757      c
##   precip landuse    lsmean       SE df  lower.CL upper.CL .group  location n
## 1    472      AG  7.993733 1.977066 27  3.937129 12.05034      b   Tribune 4
## 2    472      EA 18.477766 1.977066 27 14.421162 22.53437     a    Tribune 4
## 3    472      NP 23.094419 1.977066 27 19.037815 27.15102     a    Tribune 4
## 4    579      AG  9.902225 1.977066 27  5.845620 13.95883      a      Hays 4
## 5    579      EA 11.511773 1.977066 27  7.455169 15.56838      a      Hays 4
## 6    579      NP 13.403599 1.977066 27  9.346995 17.46020      a      Hays 4
## 7    850      AG 26.845140 1.977066 27 22.788536 30.90174     b  Manhattan 4
## 8    850      EA 14.150962 1.977066 27 10.094358 18.20757      c Manhattan 4
## 9    850      NP 47.419133 1.977066 27 43.362528 51.47574    a   Manhattan 4
##        mean        sd        se
## 1  7.993733 1.7974069 0.8987034
## 2 18.477766 8.2368171 4.1184085
## 3 23.094419 5.0089335 2.5044668
## 4  9.902225 3.3189888 1.6594944
## 5 11.511773 2.4226049 1.2113024
## 6 13.403599 0.7334291 0.3667145
## 7 26.845140 1.3762655 0.6881327
## 8 14.150962 3.1859333 1.5929667
## 9 47.419133 3.8838513 1.9419257

3.15.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        514.37  257.19     2    30  12.184 0.0001339 ***
## precip         392.79  392.79     1    30  18.608 0.0001602 ***
## landuse:precip 662.01  331.01     2    30  15.681 2.179e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        106.94   53.47     2    27  6.9673  0.003632 ** 
## precip         677.58  338.79     2    27 44.1462 3.084e-09 ***
## landuse:precip 803.26  200.82     4    27 26.1674 6.022e-09 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        19.8 1.39 27     17.0     22.7
##  EA        22.7 1.39 27     19.8     25.5
##  NP        20.3 1.39 27     17.5     23.2
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        16.4 1.39 27     13.6     19.3
##  EA        19.8 1.39 27     17.0     22.6
##  NP        13.4 1.39 27     10.5     16.2
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        24.5 1.39 27     21.7     27.3
##  EA        18.6 1.39 27     15.8     21.5
##  NP        38.2 1.39 27     35.4     41.1
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  EA        22.7 1.39 27     19.8     25.5  a    
##  NP        20.3 1.39 27     17.5     23.2  a    
##  AG        19.8 1.39 27     17.0     22.7  a    
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  EA        19.8 1.39 27     17.0     22.6  a    
##  AG        16.4 1.39 27     13.6     19.3  ab   
##  NP        13.4 1.39 27     10.5     16.2   b   
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP        38.2 1.39 27     35.4     41.1  a    
##  AG        24.5 1.39 27     21.7     27.3   b   
##  EA        18.6 1.39 27     15.8     21.5    c  
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip   lsmean       SE df lower.CL upper.CL .group
## 1      EA    472 22.68240 1.385125 27 19.84036 25.52444      a
## 3      NP    472 20.32969 1.385125 27 17.48765 23.17174      a
## 2      AG    472 19.80959 1.385125 27 16.96755 22.65163      a
## 6      EA    579 19.80418 1.385125 27 16.96214 22.64623     a 
## 4      AG    579 16.44994 1.385125 27 13.60790 19.29198     ab
## 5      NP    579 13.35845 1.385125 27 10.51641 16.20050      b
## 8      NP    850 38.21451 1.385125 27 35.37247 41.05655    a  
## 7      AG    850 24.50495 1.385125 27 21.66290 27.34699     b 
## 9      EA    850 18.62572 1.385125 27 15.78368 21.46776      c
##   precip landuse   lsmean       SE df lower.CL upper.CL .group  location n
## 1    472      AG 19.80959 1.385125 27 16.96755 22.65163      a   Tribune 4
## 2    472      EA 22.68240 1.385125 27 19.84036 25.52444      a   Tribune 4
## 3    472      NP 20.32969 1.385125 27 17.48765 23.17174      a   Tribune 4
## 4    579      AG 16.44994 1.385125 27 13.60790 19.29198     ab      Hays 4
## 5    579      EA 19.80418 1.385125 27 16.96214 22.64623     a       Hays 4
## 6    579      NP 13.35845 1.385125 27 10.51641 16.20050      b      Hays 4
## 7    850      AG 24.50495 1.385125 27 21.66290 27.34699     b  Manhattan 4
## 8    850      EA 18.62572 1.385125 27 15.78368 21.46776      c Manhattan 4
## 9    850      NP 38.21451 1.385125 27 35.37247 41.05655    a   Manhattan 4
##       mean        sd        se
## 1 19.80959 2.9004626 1.4502313
## 2 22.68240 1.8429638 0.9214819
## 3 20.32969 2.0517253 1.0258626
## 4 16.44994 4.0734815 2.0367407
## 5 19.80418 3.8160670 1.9080335
## 6 13.35845 0.9743645 0.4871823
## 7 24.50495 1.2268408 0.6134204
## 8 18.62572 0.7667409 0.3833705
## 9 38.21451 4.3418582 2.1709291

3.15.3 10-15 cm L*P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse         11.20   5.598     2    27  0.9336    0.4055    
## precip         301.46 150.728     2    27 25.1375 6.837e-07 ***
## landuse:precip 730.36 182.591     4    27 30.4514 1.186e-09 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse         11.20   5.598     2    27  0.9336    0.4055    
## precip         301.46 150.728     2    27 25.1375 6.837e-07 ***
## landuse:precip 730.36 182.591     4    27 30.4514 1.186e-09 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        24.2 1.22 27     21.6     26.7
##  EA        24.1 1.22 27     21.6     26.6
##  NP        17.8 1.22 27     15.3     20.3
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        21.1 1.22 27     18.6     23.6
##  EA        22.6 1.22 27     20.1     25.1
##  NP        13.7 1.22 27     11.2     16.2
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL
##  AG        24.4 1.22 27     21.9     27.0
##  EA        19.7 1.22 27     17.1     22.2
##  NP        34.4 1.22 27     31.9     36.9
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  AG        24.2 1.22 27     21.6     26.7  a    
##  EA        24.1 1.22 27     21.6     26.6  a    
##  NP        17.8 1.22 27     15.3     20.3   b   
## 
## precip = 579:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  EA        22.6 1.22 27     20.1     25.1  a    
##  AG        21.1 1.22 27     18.6     23.6  a    
##  NP        13.7 1.22 27     11.2     16.2   b   
## 
## precip = 850:
##  landuse lsmean   SE df lower.CL upper.CL .group
##  NP        34.4 1.22 27     31.9     36.9  a    
##  AG        24.4 1.22 27     21.9     27.0   b   
##  EA        19.7 1.22 27     17.1     22.2    c  
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip   lsmean       SE df lower.CL upper.CL .group
## 3      AG    472 24.15175 1.224351 27 21.63959 26.66391     a 
## 2      EA    472 24.13344 1.224351 27 21.62127 26.64560     a 
## 1      NP    472 17.83541 1.224351 27 15.32325 20.34758      b
## 6      EA    579 22.58671 1.224351 27 20.07455 25.09887     a 
## 4      AG    579 21.08764 1.224351 27 18.57548 23.59981     a 
## 5      NP    579 13.68315 1.224351 27 11.17098 16.19531      b
## 8      NP    850 34.41712 1.224351 27 31.90496 36.92928    a  
## 7      AG    850 24.44505 1.224351 27 21.93288 26.95721     b 
## 9      EA    850 19.65619 1.224351 27 17.14402 22.16835      c
##   precip landuse   lsmean       SE df lower.CL upper.CL .group  location n
## 1    472      AG 24.15175 1.224351 27 21.63959 26.66391     a    Tribune 4
## 2    472      EA 24.13344 1.224351 27 21.62127 26.64560     a    Tribune 4
## 3    472      NP 17.83541 1.224351 27 15.32325 20.34758      b   Tribune 4
## 4    579      AG 21.08764 1.224351 27 18.57548 23.59981     a       Hays 4
## 5    579      EA 22.58671 1.224351 27 20.07455 25.09887     a       Hays 4
## 6    579      NP 13.68315 1.224351 27 11.17098 16.19531      b      Hays 4
## 7    850      AG 24.44505 1.224351 27 21.93288 26.95721     b  Manhattan 4
## 8    850      EA 19.65619 1.224351 27 17.14402 22.16835      c Manhattan 4
## 9    850      NP 34.41712 1.224351 27 31.90496 36.92928    a   Manhattan 4
##       mean        sd        se
## 1 24.15175 2.0646801 1.0323400
## 2 24.13344 1.9776239 0.9888120
## 3 17.83541 2.9350968 1.4675484
## 4 21.08764 4.4107082 2.2053541
## 5 22.58671 3.1364180 1.5682090
## 6 13.68315 0.8911858 0.4455929
## 7 24.44505 2.4779580 1.2389790
## 8 19.65619 0.4398574 0.2199287
## 9 34.41712 0.8701622 0.4350811

4 Physical

4.1 Clay

4.1.1 0-5 cm L*P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        12.9964  6.4982     2 22.847  57.104 1.294e-09 ***
## precip          6.5823  6.5823     1 23.428  57.843 8.948e-08 ***
## landuse:precip 25.8357 12.9179     2 22.847 113.517 1.356e-12 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in checkConv(attr(opt, "derivs"), opt$par, ctrl = control$checkConv, :
## Model failed to converge with max|grad| = 0.67865 (tol = 0.002, component 1)
## Warning in checkConv(attr(opt, "derivs"), opt$par, ctrl = control$checkConv, : Model is nearly unidentifiable: very large eigenvalue
##  - Rescale variables?
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF    DenDF    F value Pr(>F)
## landuse        32.889  16.444     2 4.87e-17 1.6471e+30      1
## precip         68.837  34.419     2 4.87e-17 3.4473e+30      1
## landuse:precip 28.444   7.111     4 4.87e-17 7.1225e+29      1
## precip = 472:
##  landuse lsmean       SE df lower.CL upper.CL
##  AG          22 1.74e-15 24       22       22
##  EA          22 1.74e-15 24       22       22
##  NP          22 1.74e-15 24       22       22
## 
## precip = 579:
##  landuse lsmean       SE df lower.CL upper.CL
##  AG          26 1.74e-15 24       26       26
##  EA          24 1.74e-15 24       24       24
##  NP          26 1.74e-15 24       26       26
## 
## precip = 850:
##  landuse lsmean       SE df lower.CL upper.CL
##  AG          26 1.74e-15 24       26       26
##  EA          24 1.74e-15 24       24       24
##  NP          29 1.74e-15 24       29       29
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean       SE df lower.CL upper.CL .group
##  NP          22 1.74e-15 24       22       22  a    
##  EA          22 1.74e-15 24       22       22  a    
##  AG          22 1.74e-15 24       22       22  a    
## 
## precip = 579:
##  landuse lsmean       SE df lower.CL upper.CL .group
##  NP          26 1.74e-15 24       26       26  a    
##  AG          26 1.74e-15 24       26       26  a    
##  EA          24 1.74e-15 24       24       24   b   
## 
## precip = 850:
##  landuse lsmean       SE df lower.CL upper.CL .group
##  NP          29 1.74e-15 24       29       29  a    
##  AG          26 1.74e-15 24       26       26   b   
##  EA          24 1.74e-15 24       24       24    c  
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip lsmean           SE       df lower.CL upper.CL .group
## 1      NP    472     22 1.743387e-15 24.01022       22       22      a
## 2      EA    472     22 1.743387e-15 24.01022       22       22      a
## 3      AG    472     22 1.743387e-15 24.01022       22       22      a
## 5      NP    579     26 1.743387e-15 24.01022       26       26     a 
## 4      AG    579     26 1.743387e-15 24.01022       26       26     a 
## 6      EA    579     24 1.743387e-15 24.01022       24       24      b
## 8      NP    850     29 1.743387e-15 24.01022       29       29    a  
## 7      AG    850     26 1.743387e-15 24.01022       26       26     b 
## 9      EA    850     24 1.743387e-15 24.01022       24       24      c
##   precip landuse lsmean           SE       df lower.CL upper.CL .group
## 1    472      AG     22 1.743387e-15 24.01022       22       22      a
## 2    472      EA     22 1.743387e-15 24.01022       22       22      a
## 3    472      NP     22 1.743387e-15 24.01022       22       22      a
## 4    579      AG     26 1.743387e-15 24.01022       26       26     a 
## 5    579      EA     24 1.743387e-15 24.01022       24       24      b
## 6    579      NP     26 1.743387e-15 24.01022       26       26     a 
## 7    850      AG     26 1.743387e-15 24.01022       26       26     b 
## 8    850      EA     24 1.743387e-15 24.01022       24       24      c
## 9    850      NP     29 1.743387e-15 24.01022       29       29    a  
##    location n mean sd se
## 1   Tribune 4   22  0  0
## 2   Tribune 4   22  0  0
## 3   Tribune 4   22  0  0
## 4      Hays 4   26  0  0
## 5      Hays 4   24  0  0
## 6      Hays 4   26  0  0
## 7 Manhattan 4   26  0  0
## 8 Manhattan 4   24  0  0
## 9 Manhattan 4   29  0  0

4.1.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        12.996   6.498     2    30  5.4125 0.0098387 ** 
## precip         90.146  90.146     1    30 75.0844 1.151e-09 ***
## landuse:precip 25.836  12.918     2    30 10.7595 0.0003001 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in checkConv(attr(opt, "derivs"), opt$par, ctrl = control$checkConv, :
## Model failed to converge with max|grad| = 4.50873 (tol = 0.002, component 1)
## Warning in checkConv(attr(opt, "derivs"), opt$par, ctrl = control$checkConv, : Model is nearly unidentifiable: very large eigenvalue
##  - Rescale variables?
## Warning: Model failed to converge with 1 negative eigenvalue: -3.3e+10
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF      DenDF    F value Pr(>F)
## landuse         32.889  16.444     2 1.0011e-16 7.9833e+29      1
## precip         123.548  61.774     2 1.0011e-16 2.9990e+30      1
## landuse:precip  28.444   7.111     4 1.0011e-16 3.4522e+29      1
## precip = 472:
##  landuse lsmean       SE df lower.CL upper.CL
##  AG          22 2.27e-15 27       22       22
##  EA          22 2.27e-15 27       22       22
##  NP          22 2.27e-15 27       22       22
## 
## precip = 579:
##  landuse lsmean       SE df lower.CL upper.CL
##  AG          26 2.27e-15 27       26       26
##  EA          24 2.27e-15 27       24       24
##  NP          26 2.27e-15 27       26       26
## 
## precip = 850:
##  landuse lsmean       SE df lower.CL upper.CL
##  AG          26 2.27e-15 27       26       26
##  EA          24 2.27e-15 27       24       24
##  NP          29 2.27e-15 27       29       29
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean       SE df lower.CL upper.CL .group
##  AG          22 2.27e-15 27       22       22  a    
##  NP          22 2.27e-15 27       22       22  a    
##  EA          22 2.27e-15 27       22       22  a    
## 
## precip = 579:
##  landuse lsmean       SE df lower.CL upper.CL .group
##  AG          26 2.27e-15 27       26       26  a    
##  NP          26 2.27e-15 27       26       26  a    
##  EA          24 2.27e-15 27       24       24   b   
## 
## precip = 850:
##  landuse lsmean       SE df lower.CL upper.CL .group
##  NP          29 2.27e-15 27       29       29  a    
##  AG          26 2.27e-15 27       26       26   b   
##  EA          24 2.27e-15 27       24       24    c  
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip lsmean           SE df lower.CL upper.CL .group
## 2      AG    472     22 2.269318e-15 27       22       22      a
## 3      NP    472     22 2.269318e-15 27       22       22      a
## 1      EA    472     22 2.269318e-15 27       22       22      a
## 5      AG    579     26 2.269318e-15 27       26       26     a 
## 6      NP    579     26 2.269318e-15 27       26       26     a 
## 4      EA    579     24 2.269318e-15 27       24       24      b
## 8      NP    850     29 2.269318e-15 27       29       29    a  
## 7      AG    850     26 2.269318e-15 27       26       26     b 
## 9      EA    850     24 2.269318e-15 27       24       24      c
##   precip landuse lsmean           SE df lower.CL upper.CL .group  location n
## 1    472      AG     22 2.269318e-15 27       22       22      a   Tribune 4
## 2    472      EA     22 2.269318e-15 27       22       22      a   Tribune 4
## 3    472      NP     22 2.269318e-15 27       22       22      a   Tribune 4
## 4    579      AG     26 2.269318e-15 27       26       26     a       Hays 4
## 5    579      EA     24 2.269318e-15 27       24       24      b      Hays 4
## 6    579      NP     26 2.269318e-15 27       26       26     a       Hays 4
## 7    850      AG     26 2.269318e-15 27       26       26     b  Manhattan 4
## 8    850      EA     24 2.269318e-15 27       24       24      c Manhattan 4
## 9    850      NP     29 2.269318e-15 27       29       29    a   Manhattan 4
##   mean sd se
## 1   22  0  0
## 2   22  0  0
## 3   22  0  0
## 4   26  0  0
## 5   24  0  0
## 6   26  0  0
## 7   26  0  0
## 8   24  0  0
## 9   29  0  0

4.1.3 10-15 cm L*P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        149.487  74.743     2    30  12.582 0.0001076 ***
## precip          73.753  73.753     1    30  12.416 0.0013871 ** 
## landuse:precip 172.037  86.019     2    30  14.480 3.966e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Warning in checkConv(attr(opt, "derivs"), opt$par, ctrl = control$checkConv, :
## Model failed to converge with max|grad| = 0.697761 (tol = 0.002, component 1)
## Warning in checkConv(attr(opt, "derivs"), opt$par, ctrl = control$checkConv, : Model is nearly unidentifiable: very large eigenvalue
##  - Rescale variables?
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF      DenDF    F value Pr(>F)
## landuse         16.889   8.444     2 1.8773e-16 2.1379e+29      1
## precip         109.447  54.724     2 1.8773e-16 1.3854e+30      1
## landuse:precip 313.778  78.444     4 1.8773e-16 1.9860e+30      1
## precip = 472:
##  landuse lsmean       SE df lower.CL upper.CL
##  AG          25 3.15e-15 27       25       25
##  EA          25 3.15e-15 27       25       25
##  NP          25 3.15e-15 27       25       25
## 
## precip = 579:
##  landuse lsmean       SE df lower.CL upper.CL
##  AG          26 3.15e-15 27       26       26
##  EA          33 3.15e-15 27       33       33
##  NP          26 3.15e-15 27       26       26
## 
## precip = 850:
##  landuse lsmean       SE df lower.CL upper.CL
##  AG          34 3.15e-15 27       34       34
##  EA          24 3.15e-15 27       24       24
##  NP          29 3.15e-15 27       29       29
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean       SE df lower.CL upper.CL .group
##  AG          25 3.15e-15 27       25       25  a    
##  NP          25 3.15e-15 27       25       25   b   
##  EA          25 3.15e-15 27       25       25   b   
## 
## precip = 579:
##  landuse lsmean       SE df lower.CL upper.CL .group
##  EA          33 3.15e-15 27       33       33  a    
##  AG          26 3.15e-15 27       26       26   b   
##  NP          26 3.15e-15 27       26       26   b   
## 
## precip = 850:
##  landuse lsmean       SE df lower.CL upper.CL .group
##  AG          34 3.15e-15 27       34       34  a    
##  NP          29 3.15e-15 27       29       29   b   
##  EA          24 3.15e-15 27       24       24    c  
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip lsmean           SE       df lower.CL upper.CL .group
## 2      AG    472     25 3.145285e-15 26.99965       25       25     a 
## 3      NP    472     25 3.145285e-15 26.99965       25       25      b
## 1      EA    472     25 3.145285e-15 26.99965       25       25      b
## 6      EA    579     33 3.145285e-15 26.99965       33       33     a 
## 4      AG    579     26 3.145285e-15 26.99965       26       26      b
## 5      NP    579     26 3.145285e-15 26.99965       26       26      b
## 8      AG    850     34 3.145285e-15 26.99965       34       34    a  
## 9      NP    850     29 3.145285e-15 26.99965       29       29     b 
## 7      EA    850     24 3.145285e-15 26.99965       24       24      c
##   precip landuse lsmean           SE       df lower.CL upper.CL .group
## 1    472      AG     25 3.145285e-15 26.99965       25       25     a 
## 2    472      EA     25 3.145285e-15 26.99965       25       25      b
## 3    472      NP     25 3.145285e-15 26.99965       25       25      b
## 4    579      AG     26 3.145285e-15 26.99965       26       26      b
## 5    579      EA     33 3.145285e-15 26.99965       33       33     a 
## 6    579      NP     26 3.145285e-15 26.99965       26       26      b
## 7    850      AG     34 3.145285e-15 26.99965       34       34    a  
## 8    850      EA     24 3.145285e-15 26.99965       24       24      c
## 9    850      NP     29 3.145285e-15 26.99965       29       29     b 
##    location n mean sd se
## 1   Tribune 4   25  0  0
## 2   Tribune 4   25  0  0
## 3   Tribune 4   25  0  0
## 4      Hays 4   26  0  0
## 5      Hays 4   33  0  0
## 6      Hays 4   26  0  0
## 7 Manhattan 4   34  0  0
## 8 Manhattan 4   24  0  0
## 9 Manhattan 4   29  0  0

4.2 20 minute MWD

4.2.1 0-5 cm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value  Pr(>F)  
## landuse        0.63493 0.31746     2    30  2.7254 0.08174 .
## precip         0.00050 0.00050     1    30  0.0043 0.94830  
## landuse:precip 0.19307 0.09653     2    30  0.8287 0.44636  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

4.2.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value  Pr(>F)   
## landuse        1.06993 0.53496     2    30  8.5670 0.00114 **
## precip         0.01212 0.01212     1    30  0.1940 0.66274   
## landuse:precip 0.47723 0.23861     2    30  3.8212 0.03324 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        7.1641  3.5821     2    27 75.8257 8.343e-12 ***
## precip         0.0123  0.0062     2    27  0.1303  0.878362    
## landuse:precip 1.0749  0.2687     4    27  5.6882  0.001871 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean    SE df lower.CL upper.CL
##  AG       0.773 0.109 27   0.5505    0.996
##  EA       0.388 0.109 27   0.1646    0.611
##  NP       1.411 0.109 27   1.1882    1.634
## 
## precip = 579:
##  landuse lsmean    SE df lower.CL upper.CL
##  AG       0.304 0.109 27   0.0812    0.527
##  EA       0.624 0.109 27   0.4010    0.847
##  NP       1.698 0.109 27   1.4747    1.921
## 
## precip = 850:
##  landuse lsmean    SE df lower.CL upper.CL
##  AG       0.457 0.109 27   0.2344    0.680
##  EA       0.840 0.109 27   0.6168    1.063
##  NP       1.410 0.109 27   1.1870    1.633
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean    SE df lower.CL upper.CL .group
##  NP       1.411 0.109 27   1.1882    1.634  a    
##  AG       0.773 0.109 27   0.5505    0.996   b   
##  EA       0.388 0.109 27   0.1646    0.611    c  
## 
## precip = 579:
##  landuse lsmean    SE df lower.CL upper.CL .group
##  NP       1.698 0.109 27   1.4747    1.921  a    
##  EA       0.624 0.109 27   0.4010    0.847   b   
##  AG       0.304 0.109 27   0.0812    0.527    c  
## 
## precip = 850:
##  landuse lsmean    SE df lower.CL upper.CL .group
##  NP       1.410 0.109 27   1.1870    1.633  a    
##  EA       0.840 0.109 27   0.6168    1.063   b   
##  AG       0.457 0.109 27   0.2344    0.680    c  
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip    lsmean        SE df   lower.CL  upper.CL .group
## 2      NP    472 1.4112240 0.1086748 27 1.18824175 1.6342063    a  
## 1      AG    472 0.7734435 0.1086748 27 0.55046125 0.9964258     b 
## 3      EA    472 0.3875885 0.1086748 27 0.16460625 0.6105708      c
## 4      NP    579 1.6976802 0.1086748 27 1.47469800 1.9206625    a  
## 5      EA    579 0.6239333 0.1086748 27 0.40095100 0.8469155     b 
## 6      AG    579 0.3041699 0.1086748 27 0.08118765 0.5271522      c
## 7      NP    850 1.4099795 0.1086748 27 1.18699725 1.6329618    a  
## 8      EA    850 0.8398155 0.1086748 27 0.61683328 1.0627978     b 
## 9      AG    850 0.4574060 0.1086748 27 0.23442375 0.6803883      c
##   precip landuse    lsmean        SE df   lower.CL  upper.CL .group  location n
## 1    472      AG 0.7734435 0.1086748 27 0.55046125 0.9964258     b    Tribune 4
## 2    472      EA 0.3875885 0.1086748 27 0.16460625 0.6105708      c   Tribune 4
## 3    472      NP 1.4112240 0.1086748 27 1.18824175 1.6342063    a     Tribune 4
## 4    579      AG 0.3041699 0.1086748 27 0.08118765 0.5271522      c      Hays 4
## 5    579      EA 0.6239333 0.1086748 27 0.40095100 0.8469155     b       Hays 4
## 6    579      NP 1.6976802 0.1086748 27 1.47469800 1.9206625    a        Hays 4
## 7    850      AG 0.4574060 0.1086748 27 0.23442375 0.6803883      c Manhattan 4
## 8    850      EA 0.8398155 0.1086748 27 0.61683328 1.0627978     b  Manhattan 4
## 9    850      NP 1.4099795 0.1086748 27 1.18699725 1.6329618    a   Manhattan 4
##        mean         sd         se
## 1 0.7734435 0.15203106 0.07601553
## 2 0.3875885 0.09147002 0.04573501
## 3 1.4112240 0.37807704 0.18903852
## 4 0.3041699 0.10287669 0.05143835
## 5 0.6239332 0.18072791 0.09036396
## 6 1.6976803 0.22586526 0.11293263
## 7 0.4574060 0.12146353 0.06073177
## 8 0.8398155 0.23540812 0.11770406
## 9 1.4099795 0.29379150 0.14689575

4.2.3 10-15 cm L

made a new 15 cm dataframe for na.omit

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value   Pr(>F)   
## landuse        0.65137 0.32569     2    30  6.8321 0.003589 **
## precip         0.00811 0.00811     1    30  0.1702 0.682870   
## landuse:precip 0.12831 0.06416     2    30  1.3458 0.275587   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value   Pr(>F)   
## landuse        0.65137 0.32569     2    30  6.8321 0.003589 **
## precip         0.00811 0.00811     1    30  0.1702 0.682870   
## landuse:precip 0.12831 0.06416     2    30  1.3458 0.275587   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean     SE   df lower.CL upper.CL
##  AG       0.609 0.0634 26.5    0.479    0.739
##  EA       0.479 0.0634 26.5    0.349    0.609
##  NP       1.643 0.0634 26.5    1.513    1.773
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean     SE   df lower.CL upper.CL .group
##  NP       1.643 0.0634 26.5    1.513    1.773  a    
##  AG       0.609 0.0634 26.5    0.479    0.739   b   
##  EA       0.479 0.0634 26.5    0.349    0.609   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse    lsmean         SE       df  lower.CL  upper.CL .group
## 2      NP 1.6428264 0.06339333 26.46771 1.5126315 1.7730213     a 
## 1      AG 0.6090345 0.06339333 26.46771 0.4788397 0.7392294      b
## 3      EA 0.4787961 0.06339333 26.46771 0.3486012 0.6089910      b

4.3 20 minute 8-2 mm

4.3.1 0-5 cm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value  Pr(>F)  
## landuse        257.872 128.936     2    30  2.5984 0.09105 .
## precip          16.078  16.078     1    30  0.3240 0.57344  
## landuse:precip  67.492  33.746     2    30  0.6801 0.51422  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

4.3.2 5-10 cm L

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value   Pr(>F)   
## landuse        355.82 177.909     2    30  7.7613 0.001921 **
## precip           0.09   0.085     1    30  0.0037 0.951753   
## landuse:precip 103.18  51.589     2    30  2.2506 0.122835   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        2616.00 1308.00     2    27 75.5924 8.643e-12 ***
## precip           12.68    6.34     2    27  0.3665  0.696579    
## landuse:precip  311.07   77.77     4    27  4.4944  0.006514 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean  SE   df lower.CL upper.CL
##  AG        3.84 1.2 14.8     1.28     6.41
##  EA        4.94 1.2 24.8     2.46     7.41
##  NP       22.45 1.2 24.8    19.97    24.92
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean  SE   df lower.CL upper.CL .group
##  NP       22.45 1.2 24.8    19.97    24.92  a    
##  EA        4.94 1.2 24.8     2.46     7.41   b   
##  AG        3.84 1.2 14.8     1.28     6.41   b   
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse    lsmean       SE    df  lower.CL  upper.CL .group
## 1      NP 22.449124 1.200809 24.75 19.974744 24.923503     a 
## 2      EA  4.937868 1.200809 24.75  2.463488  7.412247      b
## 3      AG  3.843798 1.200809 14.85  1.282081  6.405516      b

4.3.3 10-15 cm L

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value   Pr(>F)   
## landuse        227.845 113.922     2    30  7.6604 0.002053 **
## precip           3.956   3.956     1    30  0.2660 0.609815   
## landuse:precip  28.670  14.335     2    30  0.9639 0.392888   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF  F value    Pr(>F)    
## landuse        3708.8 1854.41     2    27 128.1703 1.649e-14 ***
## precip           46.3   23.17     2    27   1.6012    0.2202    
## landuse:precip   41.8   10.45     4    27   0.7222    0.5844    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean  SE   df lower.CL upper.CL
##  AG        3.98 1.1 24.3     1.71     6.24
##  EA        3.33 1.1 24.3     1.07     5.60
##  NP       25.18 1.1 24.3    22.91    27.44
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean  SE   df lower.CL upper.CL .group
##  NP       25.18 1.1 24.3    22.91    27.44  a    
##  AG        3.98 1.1 24.3     1.71     6.24   b   
##  EA        3.33 1.1 24.3     1.07     5.60   b   
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse    lsmean       SE   df  lower.CL  upper.CL .group
## 2      NP 25.178903 1.098041 24.3 22.914137 27.443669     a 
## 1      AG  3.976290 1.098041 24.3  1.711523  6.241056      b
## 3      EA  3.333061 1.098041 24.3  1.068294  5.597827      b

4.4 20 minute 2-0.25 mm

4.4.1 0-5 cm P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse          9.76    4.88     2 22.594  0.2018 0.8187147    
## precip         369.81  369.81     1 23.944 15.2915 0.0006628 ***
## landuse:precip  35.25   17.63     2 22.726  0.7288 0.4934064    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF   DenDF F value    Pr(>F)    
## landuse        1337.85  668.93     2 19.7420 28.0403 1.703e-06 ***
## precip          363.13  181.57     2  8.5749  7.6110   0.01257 *  
## landuse:precip   99.32   24.83     4 19.7287  1.0409   0.41126    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean   SE    df lower.CL upper.CL
##  472      18.8 1.68  9.46     15.0     22.5
##  579      20.8 1.68  9.46     17.1     24.6
##  850      27.2 1.76 10.67     23.4     31.1
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean   SE    df lower.CL upper.CL .group
##  850      27.2 1.76 10.67     23.4     31.1  a    
##  579      20.8 1.68  9.46     17.1     24.6   b   
##  472      18.8 1.68  9.46     15.0     22.5   b   
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean       SE        df lower.CL upper.CL .group
## 1    850 27.24711 1.757592 10.666904 23.36389 31.13034     a 
## 2    579 20.84484 1.680290  9.463517 17.07195 24.61773      b
## 3    472 18.77632 1.680290  9.463517 15.00343 22.54921      b

4.4.2 5-10 cm

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value Pr(>F)
## landuse        360.27 180.134     2 27.856  1.4587 0.2498
## precip          69.43  69.427     1 30.000  0.5622 0.4592
## landuse:precip 505.52 252.758     2 27.535  2.0468 0.1483

4.4.3 10-15 cm

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value Pr(>F)
## landuse        221.19 110.594     2 25.052  1.1477 0.3335
## precip         241.96 241.956     1 27.240  2.5109 0.1246
## landuse:precip 103.89  51.946     2 25.052  0.5391 0.5899

4.5 20 minute 0.053 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value Pr(>F)  
## landuse        367.52 183.762     2 23.449  2.8888 0.0756 .
## precip           5.75   5.748     1 24.917  0.0904 0.7662  
## landuse:precip  77.14  38.571     2 23.449  0.6064 0.5537  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value  Pr(>F)  
## landuse        930.68  465.34     2 27.303  4.8421 0.01586 *
## precip           2.62    2.62     1 29.962  0.0273 0.86988  
## landuse:precip 845.25  422.62     2 26.965  4.3976 0.02224 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF F value Pr(>F)
## landuse        316.069 158.034     2 23.931  1.3110 0.2882
## precip           2.318   2.318     1 25.017  0.0192 0.8908
## landuse:precip 285.469 142.735     2 23.931  1.1841 0.3233

4.6 20 minute 0.02 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value Pr(>F)
## landuse        2.6836  1.3418     2    30  0.5539 0.5805
## precip         6.5803  6.5803     1    30  2.7164 0.1098
## landuse:precip 1.9851  0.9926     2    30  0.4097 0.6675
## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value Pr(>F)
## landuse        14.0129  7.0064     2    30  1.9852 0.1550
## precip          0.2395  0.2395     1    30  0.0679 0.7963
## landuse:precip  2.6187  1.3094     2    30  0.3710 0.6932
## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF  DenDF F value Pr(>F)
## landuse        19.0033  9.5016     2 19.059  1.6749 0.2137
## precip          5.9732  5.9732     1 18.225  1.0529 0.3183
## landuse:precip  3.6821  1.8411     2 19.059  0.3245 0.7268

4.7 Bulk Density

4.7.1 0-5 cm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF  DenDF F value  Pr(>F)  
## landuse        0.112061 0.056031     2 23.669  3.2959 0.05461 .
## precip         0.106779 0.106779     1 29.171  6.2811 0.01803 *
## landuse:precip 0.060558 0.030279     2 23.669  1.7811 0.19030  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

4.7.2 5-10 cm P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF DenDF F value Pr(>F)  
## landuse        0.037800 0.018900     2    30  0.7264 0.4920  
## precip         0.145961 0.145961     1    30  5.6099 0.0245 *
## landuse:precip 0.017941 0.008971     2    30  0.3448 0.7111  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq  Mean Sq NumDF DenDF F value  Pr(>F)   
## landuse        0.11373 0.056865     2    27  2.6146 0.09163 . 
## precip         0.33462 0.167312     2    27  7.6928 0.00227 **
## landuse:precip 0.02260 0.005651     4    27  0.2598 0.90108   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean     SE   df lower.CL upper.CL
##  472      1.11 0.0426 24.8     1.03     1.20
##  579      1.33 0.0426 14.8     1.24     1.42
##  850      1.31 0.0426 14.8     1.22     1.40
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean     SE   df lower.CL upper.CL .group
##  579      1.33 0.0426 14.8     1.24     1.42  a    
##  850      1.31 0.0426 14.8     1.22     1.40  a    
##  472      1.11 0.0426 24.8     1.03     1.20   b   
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean         SE    df lower.CL upper.CL .group
## 1    579 1.327946 0.04257268 14.85 1.237124 1.418767     a 
## 3    850 1.308993 0.04257268 14.85 1.218172 1.399814     a 
## 2    472 1.114610 0.04257268 24.75 1.026885 1.202335      b

4.7.3 10-15 cm

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF  DenDF F value Pr(>F)
## landuse        0.030539 0.015269     2 21.597  1.3400 0.2828
## precip         0.018907 0.018907     1 29.346  1.6592 0.2078
## landuse:precip 0.022982 0.011491     2 21.597  1.0084 0.3813

5 Ratio Graphs

5.1 Total Organic Carbon to Nitrogen

5.1.1 0-5 cm L*P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse         9.0334  4.5167     2    30  4.0942 0.0267830 *  
## precip         14.8871 14.8871     1    30 13.4945 0.0009287 ***
## landuse:precip 15.1040  7.5520     2    30  6.8455 0.0035558 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        44.964 22.4819     2    27 26.3061 4.573e-07 ***
## precip         16.800  8.3998     2    27  9.8286 0.0006209 ***
## landuse:precip 23.213  5.8032     4    27  6.7903 0.0006442 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean    SE df lower.CL upper.CL
##  AG        9.78 0.462 27     8.83    10.73
##  EA        9.95 0.462 27     9.00    10.90
##  NP       11.41 0.462 27    10.46    12.35
## 
## precip = 579:
##  landuse lsmean    SE df lower.CL upper.CL
##  AG        8.58 0.462 27     7.63     9.53
##  EA       10.68 0.462 27     9.73    11.63
##  NP       11.54 0.462 27    10.59    12.49
## 
## precip = 850:
##  landuse lsmean    SE df lower.CL upper.CL
##  AG       11.53 0.462 27    10.58    12.47
##  EA        9.57 0.462 27     8.63    10.52
##  NP       14.20 0.462 27    13.26    15.15
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean    SE df lower.CL upper.CL .group
##  NP       11.41 0.462 27    10.46    12.35  a    
##  EA        9.95 0.462 27     9.00    10.90   b   
##  AG        9.78 0.462 27     8.83    10.73   b   
## 
## precip = 579:
##  landuse lsmean    SE df lower.CL upper.CL .group
##  NP       11.54 0.462 27    10.59    12.49  a    
##  EA       10.68 0.462 27     9.73    11.63  a    
##  AG        8.58 0.462 27     7.63     9.53   b   
## 
## precip = 850:
##  landuse lsmean    SE df lower.CL upper.CL .group
##  NP       14.20 0.462 27    13.26    15.15  a    
##  AG       11.53 0.462 27    10.58    12.47   b   
##  EA        9.57 0.462 27     8.63    10.52    c  
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip    lsmean        SE df  lower.CL  upper.CL .group
## 1      NP    472 11.405773 0.4622295 27 10.457356 12.354190     a 
## 2      EA    472  9.948611 0.4622295 27  9.000194 10.897028      b
## 3      AG    472  9.777778 0.4622295 27  8.829361 10.726194      b
## 4      NP    579 11.540066 0.4622295 27 10.591649 12.488482     a 
## 5      EA    579 10.679544 0.4622295 27  9.731128 11.627961     a 
## 6      AG    579  8.581502 0.4622295 27  7.633085  9.529919      b
## 8      NP    850 14.204748 0.4622295 27 13.256332 15.153165    a  
## 7      AG    850 11.526122 0.4622295 27 10.577706 12.474539     b 
## 9      EA    850  9.573659 0.4622295 27  8.625242 10.522076      c
##   precip landuse    lsmean        SE df  lower.CL  upper.CL .group  location n
## 1    472      AG  9.777778 0.4622295 27  8.829361 10.726194      b   Tribune 4
## 2    472      EA  9.948611 0.4622295 27  9.000194 10.897028      b   Tribune 4
## 3    472      NP 11.405773 0.4622295 27 10.457356 12.354190     a    Tribune 4
## 4    579      AG  8.581502 0.4622295 27  7.633085  9.529919      b      Hays 4
## 5    579      EA 10.679544 0.4622295 27  9.731128 11.627961     a       Hays 4
## 6    579      NP 11.540066 0.4622295 27 10.591649 12.488482     a       Hays 4
## 7    850      AG 11.526122 0.4622295 27 10.577706 12.474539     b  Manhattan 4
## 8    850      EA  9.573659 0.4622295 27  8.625242 10.522076      c Manhattan 4
## 9    850      NP 14.204748 0.4622295 27 13.256332 15.153165    a   Manhattan 4
##        mean        sd        se
## 1  9.777778 0.6462936 0.3231468
## 2  9.948611 1.3995397 0.6997699
## 3 11.405773 0.2829542 0.1414771
## 4  8.581502 1.3801202 0.6900601
## 5 10.679544 0.6736131 0.3368065
## 6 11.540066 0.8190554 0.4095277
## 7 11.526122 0.7855424 0.3927712
## 8  9.573659 0.9313466 0.4656733
## 9 14.204748 0.8493115 0.4246558

5.1.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value   Pr(>F)   
## landuse         4.2553  2.1276     2    30  1.4536 0.249721   
## precip         12.7728 12.7728     1    30  8.7263 0.006048 **
## landuse:precip 10.0043  5.0022     2    30  3.4175 0.046017 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        20.486 10.2430     2    27 14.4440 5.428e-05 ***
## precip         31.759 15.8793     2    27 22.3919 1.849e-06 ***
## landuse:precip 15.782  3.9456     4    27  5.5638  0.002121 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean    SE df lower.CL upper.CL
##  AG       10.12 0.421 27     9.26    10.98
##  EA        9.43 0.421 27     8.56    10.29
##  NP       10.47 0.421 27     9.61    11.34
## 
## precip = 579:
##  landuse lsmean    SE df lower.CL upper.CL
##  AG        7.77 0.421 27     6.91     8.64
##  EA        8.89 0.421 27     8.02     9.75
##  NP        9.43 0.421 27     8.57    10.30
## 
## precip = 850:
##  landuse lsmean    SE df lower.CL upper.CL
##  AG       10.97 0.421 27    10.11    11.83
##  EA        9.12 0.421 27     8.26     9.98
##  NP       12.88 0.421 27    12.02    13.74
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean    SE df lower.CL upper.CL .group
##  NP       10.47 0.421 27     9.61    11.34  a    
##  AG       10.12 0.421 27     9.26    10.98  a    
##  EA        9.43 0.421 27     8.56    10.29  a    
## 
## precip = 579:
##  landuse lsmean    SE df lower.CL upper.CL .group
##  NP        9.43 0.421 27     8.57    10.30  a    
##  EA        8.89 0.421 27     8.02     9.75  ab   
##  AG        7.77 0.421 27     6.91     8.64   b   
## 
## precip = 850:
##  landuse lsmean    SE df lower.CL upper.CL .group
##  NP       12.88 0.421 27    12.02    13.74  a    
##  AG       10.97 0.421 27    10.11    11.83   b   
##  EA        9.12 0.421 27     8.26     9.98    c  
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip    lsmean        SE df  lower.CL  upper.CL .group
## 2      NP    472 10.474097 0.4210565 27  9.610161 11.338034      a
## 1      AG    472 10.120175 0.4210565 27  9.256239 10.984112      a
## 3      EA    472  9.428329 0.4210565 27  8.564393 10.292266      a
## 4      NP    579  9.433783 0.4210565 27  8.569847 10.297720     a 
## 5      EA    579  8.886607 0.4210565 27  8.022671  9.750544     ab
## 6      AG    579  7.772665 0.4210565 27  6.908728  8.636601      b
## 8      NP    850 12.880470 0.4210565 27 12.016534 13.744407    a  
## 7      AG    850 10.970536 0.4210565 27 10.106599 11.834472     b 
## 9      EA    850  9.120833 0.4210565 27  8.256897  9.984770      c
##   precip landuse    lsmean        SE df  lower.CL  upper.CL .group  location n
## 1    472      AG 10.120175 0.4210565 27  9.256239 10.984112      a   Tribune 4
## 2    472      EA  9.428329 0.4210565 27  8.564393 10.292266      a   Tribune 4
## 3    472      NP 10.474097 0.4210565 27  9.610161 11.338034      a   Tribune 4
## 4    579      AG  7.772665 0.4210565 27  6.908728  8.636601      b      Hays 4
## 5    579      EA  8.886607 0.4210565 27  8.022671  9.750544     ab      Hays 4
## 6    579      NP  9.433783 0.4210565 27  8.569847 10.297720     a       Hays 4
## 7    850      AG 10.970536 0.4210565 27 10.106599 11.834472     b  Manhattan 4
## 8    850      EA  9.120833 0.4210565 27  8.256897  9.984770      c Manhattan 4
## 9    850      NP 12.880470 0.4210565 27 12.016534 13.744407    a   Manhattan 4
##        mean        sd        se
## 1 10.120175 0.3762794 0.1881397
## 2  9.428329 0.8229181 0.4114590
## 3 10.474097 0.3930355 0.1965178
## 4  7.772665 0.9790590 0.4895295
## 5  8.886607 1.0962681 0.5481341
## 6  9.433783 0.2715572 0.1357786
## 7 10.970536 1.6937246 0.8468623
## 8  9.120833 0.5137688 0.2568844
## 9 12.880470 0.2058282 0.1029141

5.1.3 10-15 cm P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse         0.063   0.032     2 20.618  0.0357    0.9650    
## precip         60.565  60.565     1 29.307 68.3437 3.776e-09 ***
## landuse:precip  0.960   0.480     2 20.618  0.5417    0.5898    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        13.546   6.773     2 22.366  8.9978  0.001358 ** 
## precip         69.479  34.740     2 11.905 46.1500 2.465e-06 ***
## landuse:precip  4.047   1.012     4 22.366  1.3442  0.284713    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean    SE   df lower.CL upper.CL
##  472      9.51 0.282 10.7     8.88    10.13
##  579      8.65 0.282 10.7     8.03     9.27
##  850     11.96 0.282 10.7    11.34    12.58
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean    SE   df lower.CL upper.CL .group
##  850     11.96 0.282 10.7    11.34    12.58  a    
##  472      9.51 0.282 10.7     8.88    10.13   b   
##  579      8.65 0.282 10.7     8.03     9.27   b   
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip    lsmean        SE       df  lower.CL  upper.CL .group
## 2    850 11.961379 0.2821038 10.70645 11.338390 12.584369     a 
## 1    472  9.507376 0.2821038 10.70645  8.884386 10.130365      b
## 3    579  8.651880 0.2821038 10.70645  8.028890  9.274869      b

5.2 Protein to Total Nitrogen

5.2.1 0-5 cm P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value   Pr(>F)   
## landuse         17796    8898     2    30  1.2009 0.314978   
## precip          91272   91272     1    30 12.3181 0.001439 **
## landuse:precip  24929   12464     2    30  1.6822 0.203034   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse         58633   29316     2 21.762  8.1896 0.0022303 ** 
## precip          96921   48461     2 11.712 13.5374 0.0009008 ***
## landuse:precip 142519   35630     4 21.762  9.9531 9.773e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean   SE   df lower.CL upper.CL
##  472       284 17.4 13.2      246      321
##  579       216 17.4 13.2      178      253
##  850       155 17.4 13.2      118      193
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean   SE   df lower.CL upper.CL .group
##  472       284 17.4 13.2      246      321  a    
##  579       216 17.4 13.2      178      253   b   
##  850       155 17.4 13.2      118      193    c  
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean       SE       df lower.CL upper.CL .group
## 3    472 283.6259 17.42741 13.22396 246.0410 321.2108    a  
## 2    579 215.8532 17.42741 13.22396 178.2683 253.4381     b 
## 1    850 155.4173 17.42741 13.22396 117.8324 193.0022      c

5.2.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse         56133 28066.3     2 23.306 29.8255 3.755e-07 ***
## precip           8214  8213.8     1 25.869  8.7287  0.006593 ** 
## landuse:precip  62800 31400.0     2 22.955 33.3681 1.610e-07 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF   DenDF F value    Pr(>F)    
## landuse          1495   747.4     2 20.5823  0.8026 0.4617059    
## precip          25650 12825.2     2  9.8214 13.7729 0.0014133 ** 
## landuse:precip  41700 10425.0     4 17.0349 11.1954 0.0001224 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG       263.7 21.6 13.2   217.06      310
##  EA       234.9 21.6 13.2   188.24      282
##  NP       212.9 21.6 13.2   166.27      260
## 
## precip = 579:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG       176.0 21.6 13.2   129.35      223
##  EA       149.4 21.6 13.2   102.79      196
##  NP       137.8 21.6 13.2    91.16      184
## 
## precip = 850:
##  landuse lsmean   SE   df lower.CL upper.CL
##  AG        56.2 21.6 13.2     9.57      103
##  EA       161.1 21.6 13.2   114.47      208
##  NP       194.4 21.6 13.2   147.73      241
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  AG       263.7 21.6 13.2   217.06      310  a    
##  EA       234.9 21.6 13.2   188.24      282  a    
##  NP       212.9 21.6 13.2   166.27      260  a    
## 
## precip = 579:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  AG       176.0 21.6 13.2   129.35      223  a    
##  EA       149.4 21.6 13.2   102.79      196  a    
##  NP       137.8 21.6 13.2    91.16      184  a    
## 
## precip = 850:
##  landuse lsmean   SE   df lower.CL upper.CL .group
##  NP       194.4 21.6 13.2   147.73      241  a    
##  EA       161.1 21.6 13.2   114.47      208  a    
##  AG        56.2 21.6 13.2     9.57      103   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip    lsmean      SE       df   lower.CL upper.CL .group
## 3      AG    472 263.69889 21.6311 13.25407 217.058638 310.3391      a
## 2      EA    472 234.88281 21.6311 13.25407 188.242561 281.5231      a
## 1      NP    472 212.90988 21.6311 13.25407 166.269631 259.5501      a
## 6      AG    579 175.98830 21.6311 13.25407 129.348050 222.6286      a
## 5      EA    579 149.43211 21.6311 13.25407 102.791862 196.0724      a
## 4      NP    579 137.80219 21.6311 13.25407  91.161937 184.4424      a
## 7      NP    850 194.36692 21.6311 13.25407 147.726667 241.0072     a 
## 8      EA    850 161.10923 21.6311 13.25407 114.468975 207.7495     a 
## 9      AG    850  56.20649 21.6311 13.25407   9.566241 102.8467      b
##   precip landuse    lsmean      SE       df   lower.CL upper.CL .group
## 1    472      AG 263.69889 21.6311 13.25407 217.058638 310.3391      a
## 2    472      EA 234.88281 21.6311 13.25407 188.242561 281.5231      a
## 3    472      NP 212.90988 21.6311 13.25407 166.269631 259.5501      a
## 4    579      AG 175.98830 21.6311 13.25407 129.348050 222.6286      a
## 5    579      EA 149.43211 21.6311 13.25407 102.791862 196.0724      a
## 6    579      NP 137.80219 21.6311 13.25407  91.161937 184.4424      a
## 7    850      AG  56.20649 21.6311 13.25407   9.566241 102.8467      b
## 8    850      EA 161.10923 21.6311 13.25407 114.468975 207.7495     a 
## 9    850      NP 194.36692 21.6311 13.25407 147.726667 241.0072     a 
##    location n      mean        sd        se
## 1   Tribune 4 263.69889 28.577754 14.288877
## 2   Tribune 4 234.88281 58.428248 29.214124
## 3   Tribune 4 212.90988 52.947072 26.473536
## 4      Hays 4 175.98830 40.355886 20.177943
## 5      Hays 4 149.43211 52.844760 26.422380
## 6      Hays 4 137.80219 17.314792  8.657396
## 7 Manhattan 4  56.20649  4.044773  2.022386
## 8 Manhattan 4 161.10923 28.754685 14.377342
## 9 Manhattan 4 194.36692 37.822041 18.911020

5.2.3 10-15 cm

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value Pr(>F)
## landuse        5542.4  2771.2     2    30  1.6636 0.2065
## precip         2440.8  2440.8     1    30  1.4652 0.2356
## landuse:precip 5388.6  2694.3     2    30  1.6174 0.2152

5.3 Soil Respiration to Total Organic Carbon

5.3.1 0-5 cm P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                   Sum Sq   Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        0.0013688 0.0006844     2 22.484  1.4441 0.2570194    
## precip         0.0088282 0.0088282     1 24.498 18.6279 0.0002276 ***
## landuse:precip 0.0012928 0.0006464     2 22.484  1.3640 0.2759970    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                   Sum Sq   Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        0.0011400 0.0005700     2 22.511  1.2587    0.3033    
## precip         0.0312701 0.0156350     2 11.831 34.5258 1.152e-05 ***
## landuse:precip 0.0021471 0.0005368     4 22.511  1.1853    0.3441    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean      SE  df lower.CL upper.CL
##  472    0.0285 0.00747 9.6   0.0117   0.0452
##  579    0.1145 0.00747 9.6   0.0977   0.1312
##  850    0.0721 0.00747 9.6   0.0554   0.0889
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean      SE  df lower.CL upper.CL .group
##  579    0.1145 0.00747 9.6   0.0977   0.1312  a    
##  850    0.0721 0.00747 9.6   0.0554   0.0889   b   
##  472    0.0285 0.00747 9.6   0.0117   0.0452    c  
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip    lsmean          SE       df   lower.CL   upper.CL .group
## 1    579 0.1144727 0.007471911 9.599215 0.09772954 0.13121586    a  
## 3    850 0.0721230 0.007471911 9.599215 0.05537984 0.08886615     b 
## 2    472 0.0284722 0.007471911 9.599215 0.01172904 0.04521536      c

5.3.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                   Sum Sq   Mean Sq NumDF  DenDF F value   Pr(>F)   
## landuse        0.0127333 0.0063667     2 22.794  8.3915 0.001858 **
## precip         0.0024014 0.0024014     1 25.493  3.1651 0.087155 . 
## landuse:precip 0.0102748 0.0051374     2 22.428  6.7713 0.005005 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq   Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        0.002591 0.0012956     2    27  2.6602   0.08820 .  
## precip         0.036120 0.0180599     2    27 37.0822 1.801e-08 ***
## landuse:precip 0.004779 0.0011946     4    27  2.4529   0.07001 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean    SE df lower.CL upper.CL
##  AG      0.0138 0.011 27 -0.00881   0.0365
##  EA      0.0279 0.011 27  0.00528   0.0506
##  NP      0.0133 0.011 27 -0.00932   0.0360
## 
## precip = 579:
##  landuse lsmean    SE df lower.CL upper.CL
##  AG      0.0733 0.011 27  0.05070   0.0960
##  EA      0.1019 0.011 27  0.07924   0.1245
##  NP      0.1126 0.011 27  0.08997   0.1353
## 
## precip = 850:
##  landuse lsmean    SE df lower.CL upper.CL
##  AG      0.0562 0.011 27  0.03359   0.0789
##  EA      0.0373 0.011 27  0.01471   0.0600
##  NP      0.0793 0.011 27  0.05662   0.1019
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean    SE df lower.CL upper.CL .group
##  EA      0.0279 0.011 27  0.00528   0.0506  a    
##  AG      0.0138 0.011 27 -0.00881   0.0365  a    
##  NP      0.0133 0.011 27 -0.00932   0.0360  a    
## 
## precip = 579:
##  landuse lsmean    SE df lower.CL upper.CL .group
##  NP      0.1126 0.011 27  0.08997   0.1353  a    
##  EA      0.1019 0.011 27  0.07924   0.1245  ab   
##  AG      0.0733 0.011 27  0.05070   0.0960   b   
## 
## precip = 850:
##  landuse lsmean    SE df lower.CL upper.CL .group
##  NP      0.0793 0.011 27  0.05662   0.1019  a    
##  AG      0.0562 0.011 27  0.03359   0.0789  ab   
##  EA      0.0373 0.011 27  0.01471   0.0600   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip     lsmean         SE df     lower.CL   upper.CL .group
## 3      EA    472 0.02791757 0.01103431 27  0.005277023 0.05055811      a
## 1      AG    472 0.01382869 0.01103431 27 -0.008811850 0.03646924      a
## 2      NP    472 0.01332391 0.01103431 27 -0.009316634 0.03596445      a
## 4      NP    579 0.11261443 0.01103431 27  0.089973890 0.13525498     a 
## 5      EA    579 0.10187667 0.01103431 27  0.079236123 0.12451721     ab
## 6      AG    579 0.07333896 0.01103431 27  0.050698418 0.09597951      b
## 8      NP    850 0.07925770 0.01103431 27  0.056617153 0.10189824     a 
## 7      AG    850 0.05623532 0.01103431 27  0.033594778 0.07887587     ab
## 9      EA    850 0.03734719 0.01103431 27  0.014706645 0.05998773      b
##   precip landuse     lsmean         SE df     lower.CL   upper.CL .group
## 1    472      AG 0.01382869 0.01103431 27 -0.008811850 0.03646924      a
## 2    472      EA 0.02791757 0.01103431 27  0.005277023 0.05055811      a
## 3    472      NP 0.01332391 0.01103431 27 -0.009316634 0.03596445      a
## 4    579      AG 0.07333896 0.01103431 27  0.050698418 0.09597951      b
## 5    579      EA 0.10187667 0.01103431 27  0.079236123 0.12451721     ab
## 6    579      NP 0.11261443 0.01103431 27  0.089973890 0.13525498     a 
## 7    850      AG 0.05623532 0.01103431 27  0.033594778 0.07887587     ab
## 8    850      EA 0.03734719 0.01103431 27  0.014706645 0.05998773      b
## 9    850      NP 0.07925770 0.01103431 27  0.056617153 0.10189824     a 
##    location n       mean          sd          se
## 1   Tribune 4 0.01382869 0.004223345 0.002111673
## 2   Tribune 4 0.02791757 0.014251072 0.007125536
## 3   Tribune 4 0.01332391 0.004204389 0.002102195
## 4      Hays 4 0.07333896 0.035865869 0.017932934
## 5      Hays 4 0.10187667 0.032392120 0.016196060
## 6      Hays 4 0.11261443 0.011353128 0.005676564
## 7 Manhattan 4 0.05623532 0.038177884 0.019088942
## 8 Manhattan 4 0.03734719 0.006667974 0.003333987
## 9 Manhattan 4 0.07925770 0.013345291 0.006672646

5.3.3 10-15 cm L*P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                   Sum Sq   Mean Sq NumDF  DenDF F value   Pr(>F)   
## landuse        0.0050644 0.0025322     2 21.628  5.7680 0.009826 **
## precip         0.0017127 0.0017127     1 26.465  3.9012 0.058768 . 
## landuse:precip 0.0049819 0.0024910     2 21.628  5.6741 0.010449 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                   Sum Sq   Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        0.0080775 0.0040387     2 22.574  42.497 2.221e-08 ***
## precip         0.0147424 0.0073712     2 12.049  77.561 1.314e-07 ***
## landuse:precip 0.0127194 0.0031798     4 22.574  33.459 3.460e-09 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse  lsmean      SE   df lower.CL upper.CL
##  AG      0.00964 0.00519 25.6 -0.00105   0.0203
##  EA      0.03377 0.00519 25.6  0.02309   0.0445
##  NP      0.00811 0.00519 25.6 -0.00258   0.0188
## 
## precip = 579:
##  landuse  lsmean      SE   df lower.CL upper.CL
##  AG      0.02884 0.00519 25.6  0.01815   0.0395
##  EA      0.08525 0.00519 25.6  0.07457   0.0959
##  NP      0.11356 0.00519 25.6  0.10288   0.1242
## 
## precip = 850:
##  landuse  lsmean      SE   df lower.CL upper.CL
##  AG      0.05016 0.00519 25.6  0.03947   0.0608
##  EA      0.03085 0.00519 25.6  0.02017   0.0415
##  NP      0.07679 0.00519 25.6  0.06610   0.0875
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse  lsmean      SE   df lower.CL upper.CL .group
##  EA      0.03377 0.00519 25.6  0.02309   0.0445  a    
##  AG      0.00964 0.00519 25.6 -0.00105   0.0203   b   
##  NP      0.00811 0.00519 25.6 -0.00258   0.0188   b   
## 
## precip = 579:
##  landuse  lsmean      SE   df lower.CL upper.CL .group
##  NP      0.11356 0.00519 25.6  0.10288   0.1242  a    
##  EA      0.08525 0.00519 25.6  0.07457   0.0959   b   
##  AG      0.02884 0.00519 25.6  0.01815   0.0395    c  
## 
## precip = 850:
##  landuse  lsmean      SE   df lower.CL upper.CL .group
##  NP      0.07679 0.00519 25.6  0.06610   0.0875  a    
##  AG      0.05016 0.00519 25.6  0.03947   0.0608   b   
##  EA      0.03085 0.00519 25.6  0.02017   0.0415    c  
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip      lsmean          SE       df     lower.CL   upper.CL
## 3      EA    472 0.033772189 0.005194442 25.56235  0.023085956 0.04445842
## 1      AG    472 0.009636382 0.005194442 25.56235 -0.001049851 0.02032262
## 2      NP    472 0.008110496 0.005194442 25.56235 -0.002575737 0.01879673
## 4      NP    579 0.113561255 0.005194442 25.56235  0.102875022 0.12424749
## 5      EA    579 0.085254036 0.005194442 25.56235  0.074567803 0.09594027
## 6      AG    579 0.028836503 0.005194442 25.56235  0.018150270 0.03952274
## 8      NP    850 0.076786673 0.005194442 25.56235  0.066100440 0.08747291
## 7      AG    850 0.050155287 0.005194442 25.56235  0.039469054 0.06084152
## 9      EA    850 0.030852781 0.005194442 25.56235  0.020166548 0.04153901
##   .group
## 3     a 
## 1      b
## 2      b
## 4    a  
## 5     b 
## 6      c
## 8    a  
## 7     b 
## 9      c
##   precip landuse      lsmean          SE       df     lower.CL   upper.CL
## 1    472      AG 0.009636382 0.005194442 25.56235 -0.001049851 0.02032262
## 2    472      EA 0.033772189 0.005194442 25.56235  0.023085956 0.04445842
## 3    472      NP 0.008110496 0.005194442 25.56235 -0.002575737 0.01879673
## 4    579      AG 0.028836503 0.005194442 25.56235  0.018150270 0.03952274
## 5    579      EA 0.085254036 0.005194442 25.56235  0.074567803 0.09594027
## 6    579      NP 0.113561255 0.005194442 25.56235  0.102875022 0.12424749
## 7    850      AG 0.050155287 0.005194442 25.56235  0.039469054 0.06084152
## 8    850      EA 0.030852781 0.005194442 25.56235  0.020166548 0.04153901
## 9    850      NP 0.076786673 0.005194442 25.56235  0.066100440 0.08747291
##   .group  location n        mean          sd           se
## 1      b   Tribune 4 0.009636382 0.001963819 0.0009819096
## 2     a    Tribune 4 0.033772189 0.006790007 0.0033950034
## 3      b   Tribune 4 0.008110496 0.003324699 0.0016623497
## 4      c      Hays 4 0.028836503 0.002592590 0.0012962951
## 5     b       Hays 4 0.085254036 0.014356535 0.0071782676
## 6    a        Hays 4 0.113561255 0.008089896 0.0040449479
## 7     b  Manhattan 4 0.050155287 0.016752380 0.0083761900
## 8      c Manhattan 4 0.030852781 0.009749883 0.0048749417
## 9    a   Manhattan 4 0.076786673 0.016326946 0.0081634730

5.4 Glucosidase to Glucosaminidase ratio

5.4.1 0-5 cm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq  Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        0.10396 0.051981     2    30  13.956 5.191e-05 ***
## precip         0.10589 0.105886     1    30  28.429 9.125e-06 ***
## landuse:precip 0.15927 0.079635     2    30  21.381 1.692e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

5.4.2 5-10 cm

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        0.134872 0.067436     2 22.364  8.8456 0.0014782 ** 
## precip         0.001683 0.001683     1 29.926  0.2208 0.6418299    
## landuse:precip 0.163739 0.081870     2 21.635 10.7388 0.0005764 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

5.4.3 10-15 cm L*P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq   Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        0.027472 0.0137362     2 13.414  5.7416 0.0157965 *  
## precip         0.001128 0.0011276     1 13.879  0.4713 0.5036802    
## landuse:precip 0.062699 0.0313493     2 13.414 13.1037 0.0007002 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        0.109683 0.054841     2    27 25.7118 5.602e-07 ***
## precip         0.018770 0.009385     2    27  4.4001 0.0221805 *  
## landuse:precip 0.064712 0.016178     4    27  7.5849 0.0003126 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       1.116 0.0231 27    1.068     1.16
##  EA       1.125 0.0231 27    1.077     1.17
##  NP       1.098 0.0231 27    1.050     1.15
## 
## precip = 579:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       1.188 0.0231 27    1.140     1.23
##  EA       1.215 0.0231 27    1.168     1.26
##  NP       1.102 0.0231 27    1.055     1.15
## 
## precip = 850:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       1.245 0.0231 27    1.198     1.29
##  EA       1.199 0.0231 27    1.151     1.25
##  NP       0.992 0.0231 27    0.944     1.04
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  EA       1.125 0.0231 27    1.077     1.17  a    
##  AG       1.116 0.0231 27    1.068     1.16  a    
##  NP       1.098 0.0231 27    1.050     1.15  a    
## 
## precip = 579:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  EA       1.215 0.0231 27    1.168     1.26  a    
##  AG       1.188 0.0231 27    1.140     1.23  a    
##  NP       1.102 0.0231 27    1.055     1.15   b   
## 
## precip = 850:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  AG       1.245 0.0231 27    1.198     1.29  a    
##  EA       1.199 0.0231 27    1.151     1.25  a    
##  NP       0.992 0.0231 27    0.944     1.04   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip   lsmean         SE df  lower.CL upper.CL .group
## 3      EA    472 1.124528 0.02309178 27 1.0771477 1.171909      a
## 1      AG    472 1.115747 0.02309178 27 1.0683662 1.163127      a
## 2      NP    472 1.097853 0.02309178 27 1.0504722 1.145233      a
## 6      EA    579 1.215155 0.02309178 27 1.1677747 1.262535     a 
## 4      AG    579 1.187538 0.02309178 27 1.1401573 1.234918     a 
## 5      NP    579 1.102450 0.02309178 27 1.0550693 1.149830      b
## 9      AG    850 1.244930 0.02309178 27 1.1975493 1.292310     a 
## 8      EA    850 1.198812 0.02309178 27 1.1514319 1.246193     a 
## 7      NP    850 0.991880 0.02309178 27 0.9444995 1.039260      b
##   precip landuse   lsmean         SE df  lower.CL upper.CL .group  location n
## 1    472      AG 1.115747 0.02309178 27 1.0683662 1.163127      a   Tribune 4
## 2    472      EA 1.124528 0.02309178 27 1.0771477 1.171909      a   Tribune 4
## 3    472      NP 1.097853 0.02309178 27 1.0504722 1.145233      a   Tribune 4
## 4    579      AG 1.187538 0.02309178 27 1.1401573 1.234918     a       Hays 4
## 5    579      EA 1.215155 0.02309178 27 1.1677747 1.262535     a       Hays 4
## 6    579      NP 1.102450 0.02309178 27 1.0550693 1.149830      b      Hays 4
## 7    850      AG 1.244930 0.02309178 27 1.1975493 1.292310     a  Manhattan 4
## 8    850      EA 1.198812 0.02309178 27 1.1514319 1.246193     a  Manhattan 4
## 9    850      NP 0.991880 0.02309178 27 0.9444995 1.039260      b Manhattan 4
##       mean         sd          se
## 1 1.115747 0.05221639 0.026108196
## 2 1.124528 0.02037105 0.010185524
## 3 1.097853 0.02760030 0.013800151
## 4 1.187538 0.02638498 0.013192489
## 5 1.215155 0.03269507 0.016347537
## 6 1.102450 0.01546746 0.007733731
## 7 1.244930 0.10989570 0.054947850
## 8 1.198812 0.02582553 0.012912765
## 9 0.991880 0.02333633 0.011668163

5.5 Glucosidase to Acid Phosphotase ratio

5.5.1 0-5 cm L*P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq  Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        0.10137 0.050685     2    30  30.729 5.476e-08 ***
## precip         0.06991 0.069910     1    30  42.385 3.380e-07 ***
## landuse:precip 0.15343 0.076715     2    30  46.511 6.414e-10 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        0.076561 0.038281     2    27  35.079 3.108e-08 ***
## precip         0.074473 0.037236     2    27  34.122 4.066e-08 ***
## landuse:precip 0.168886 0.042221     4    27  38.690 8.259e-11 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       0.785 0.0165 27    0.751    0.819
##  EA       0.809 0.0165 27    0.775    0.843
##  NP       0.806 0.0165 27    0.772    0.839
## 
## precip = 579:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       0.858 0.0165 27    0.824    0.892
##  EA       0.903 0.0165 27    0.869    0.936
##  NP       0.807 0.0165 27    0.773    0.841
## 
## precip = 850:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       1.104 0.0165 27    1.070    1.138
##  EA       0.830 0.0165 27    0.796    0.864
##  NP       0.799 0.0165 27    0.765    0.833
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  EA       0.809 0.0165 27    0.775    0.843  a    
##  NP       0.806 0.0165 27    0.772    0.839  a    
##  AG       0.785 0.0165 27    0.751    0.819  a    
## 
## precip = 579:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  EA       0.903 0.0165 27    0.869    0.936  a    
##  AG       0.858 0.0165 27    0.824    0.892  a    
##  NP       0.807 0.0165 27    0.773    0.841   b   
## 
## precip = 850:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  AG       1.104 0.0165 27    1.070    1.138  a    
##  EA       0.830 0.0165 27    0.796    0.864   b   
##  NP       0.799 0.0165 27    0.765    0.833   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip    lsmean         SE df  lower.CL  upper.CL .group
## 1      EA    472 0.8089593 0.01651727 27 0.7750687 0.8428500      a
## 3      NP    472 0.8055129 0.01651727 27 0.7716222 0.8394035      a
## 2      AG    472 0.7849133 0.01651727 27 0.7510227 0.8188040      a
## 6      EA    579 0.9026081 0.01651727 27 0.8687175 0.9364988     a 
## 4      AG    579 0.8582963 0.01651727 27 0.8244056 0.8921869     a 
## 5      NP    579 0.8069508 0.01651727 27 0.7730602 0.8408415      b
## 9      AG    850 1.1043384 0.01651727 27 1.0704478 1.1382291     a 
## 8      EA    850 0.8302688 0.01651727 27 0.7963781 0.8641594      b
## 7      NP    850 0.7990042 0.01651727 27 0.7651136 0.8328948      b
##   precip landuse    lsmean         SE df  lower.CL  upper.CL .group  location n
## 1    472      AG 0.7849133 0.01651727 27 0.7510227 0.8188040      a   Tribune 4
## 2    472      EA 0.8089593 0.01651727 27 0.7750687 0.8428500      a   Tribune 4
## 3    472      NP 0.8055129 0.01651727 27 0.7716222 0.8394035      a   Tribune 4
## 4    579      AG 0.8582963 0.01651727 27 0.8244056 0.8921869     a       Hays 4
## 5    579      EA 0.9026081 0.01651727 27 0.8687175 0.9364988     a       Hays 4
## 6    579      NP 0.8069508 0.01651727 27 0.7730602 0.8408415      b      Hays 4
## 7    850      AG 1.1043384 0.01651727 27 1.0704478 1.1382291     a  Manhattan 4
## 8    850      EA 0.8302688 0.01651727 27 0.7963781 0.8641594      b Manhattan 4
## 9    850      NP 0.7990042 0.01651727 27 0.7651136 0.8328948      b Manhattan 4
##        mean          sd          se
## 1 0.7849133 0.062922064 0.031461032
## 2 0.8089593 0.061012952 0.030506476
## 3 0.8055129 0.005743421 0.002871711
## 4 0.8582963 0.008017656 0.004008828
## 5 0.9026081 0.005648516 0.002824258
## 6 0.8069508 0.007179254 0.003589627
## 7 1.1043384 0.043970714 0.021985357
## 8 0.8302688 0.004144356 0.002072178
## 9 0.7990042 0.002905048 0.001452524

5.5.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        0.085944 0.042972     2    30  15.701 2.158e-05 ***
## precip         0.029713 0.029713     1    30  10.856  0.002533 ** 
## landuse:precip 0.122663 0.061332     2    30  22.409 1.114e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        0.07266 0.03633     2    27 11.9736 0.0001894 ***
## precip         0.02972 0.01486     2    27  4.8976 0.0153194 *  
## landuse:precip 0.12284 0.03071     4    27 10.1214 3.873e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       0.775 0.0275 27    0.719    0.832
##  EA       0.860 0.0275 27    0.804    0.917
##  NP       0.772 0.0275 27    0.716    0.829
## 
## precip = 579:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       0.855 0.0275 27    0.798    0.911
##  EA       0.835 0.0275 27    0.779    0.892
##  NP       0.779 0.0275 27    0.722    0.835
## 
## precip = 850:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       1.036 0.0275 27    0.979    1.092
##  EA       0.793 0.0275 27    0.736    0.849
##  NP       0.785 0.0275 27    0.728    0.841
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  EA       0.860 0.0275 27    0.804    0.917  a    
##  AG       0.775 0.0275 27    0.719    0.832   b   
##  NP       0.772 0.0275 27    0.716    0.829   b   
## 
## precip = 579:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  AG       0.855 0.0275 27    0.798    0.911  a    
##  EA       0.835 0.0275 27    0.779    0.892  a    
##  NP       0.779 0.0275 27    0.722    0.835  a    
## 
## precip = 850:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  AG       1.036 0.0275 27    0.979    1.092  a    
##  EA       0.793 0.0275 27    0.736    0.849   b   
##  NP       0.785 0.0275 27    0.728    0.841   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip    lsmean         SE df  lower.CL  upper.CL .group
## 3      EA    472 0.8602815 0.02754167 27 0.8037706 0.9167923     a 
## 1      AG    472 0.7750262 0.02754167 27 0.7185154 0.8315371      b
## 2      NP    472 0.7722744 0.02754167 27 0.7157636 0.8287853      b
## 6      AG    579 0.8546662 0.02754167 27 0.7981554 0.9111771      a
## 5      EA    579 0.8354833 0.02754167 27 0.7789724 0.8919941      a
## 4      NP    579 0.7786179 0.02754167 27 0.7221070 0.8351287      a
## 9      AG    850 1.0358008 0.02754167 27 0.9792899 1.0923116     a 
## 8      EA    850 0.7926165 0.02754167 27 0.7361056 0.8491273      b
## 7      NP    850 0.7847644 0.02754167 27 0.7282536 0.8412752      b
##   precip landuse    lsmean         SE df  lower.CL  upper.CL .group  location n
## 1    472      AG 0.7750262 0.02754167 27 0.7185154 0.8315371      b   Tribune 4
## 2    472      EA 0.8602815 0.02754167 27 0.8037706 0.9167923     a    Tribune 4
## 3    472      NP 0.7722744 0.02754167 27 0.7157636 0.8287853      b   Tribune 4
## 4    579      AG 0.8546662 0.02754167 27 0.7981554 0.9111771      a      Hays 4
## 5    579      EA 0.8354833 0.02754167 27 0.7789724 0.8919941      a      Hays 4
## 6    579      NP 0.7786179 0.02754167 27 0.7221070 0.8351287      a      Hays 4
## 7    850      AG 1.0358008 0.02754167 27 0.9792899 1.0923116     a  Manhattan 4
## 8    850      EA 0.7926165 0.02754167 27 0.7361056 0.8491273      b Manhattan 4
## 9    850      NP 0.7847644 0.02754167 27 0.7282536 0.8412752      b Manhattan 4
##       mean          sd          se
## 1 1.060658 0.048553620 0.024276810
## 2 1.264613 0.285783695 0.142891848
## 3 1.076285 0.008234744 0.004117372
## 4 1.180818 0.052306771 0.026153385
## 5 1.186774 0.047542961 0.023771480
## 6 1.107452 0.012716366 0.006358183
## 7 1.329150 0.055360248 0.027680124
## 8 1.120306 0.030051628 0.015025814
## 9 1.025450 0.025012547 0.012506274

5.5.3 10-15 cm L*P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        0.016951 0.008475     2    30  4.3911 0.0212483 *  
## precip         0.036928 0.036928     1    30 19.1325 0.0001354 ***
## landuse:precip 0.030599 0.015299     2    30  7.9267 0.0017229 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        0.029770 0.014885     2    27 12.1211 0.0001752 ***
## precip         0.050201 0.025101     2    27 20.4398 3.935e-06 ***
## landuse:precip 0.042072 0.010518     4    27  8.5649 0.0001344 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       0.755 0.0175 27    0.719    0.791
##  EA       0.710 0.0175 27    0.674    0.745
##  NP       0.772 0.0175 27    0.736    0.808
## 
## precip = 579:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       0.829 0.0175 27    0.793    0.864
##  EA       0.831 0.0175 27    0.795    0.867
##  NP       0.778 0.0175 27    0.742    0.814
## 
## precip = 850:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       0.929 0.0175 27    0.893    0.965
##  EA       0.798 0.0175 27    0.762    0.834
##  NP       0.772 0.0175 27    0.736    0.808
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  NP       0.772 0.0175 27    0.736    0.808  a    
##  AG       0.755 0.0175 27    0.719    0.791  ab   
##  EA       0.710 0.0175 27    0.674    0.745   b   
## 
## precip = 579:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  EA       0.831 0.0175 27    0.795    0.867  a    
##  AG       0.829 0.0175 27    0.793    0.864  ab   
##  NP       0.778 0.0175 27    0.742    0.814   b   
## 
## precip = 850:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  AG       0.929 0.0175 27    0.893    0.965  a    
##  EA       0.798 0.0175 27    0.762    0.834   b   
##  NP       0.772 0.0175 27    0.736    0.808   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip    lsmean         SE df  lower.CL  upper.CL .group
## 2      NP    472 0.7718429 0.01752161 27 0.7358916 0.8077943     a 
## 1      AG    472 0.7552471 0.01752161 27 0.7192957 0.7911985     ab
## 3      EA    472 0.7095220 0.01752161 27 0.6735706 0.7454734      b
## 6      EA    579 0.8307880 0.01752161 27 0.7948366 0.8667393     a 
## 4      AG    579 0.8285438 0.01752161 27 0.7925924 0.8644952     ab
## 5      NP    579 0.7775858 0.01752161 27 0.7416344 0.8135372      b
## 9      AG    850 0.9287323 0.01752161 27 0.8927809 0.9646836     a 
## 8      EA    850 0.7982394 0.01752161 27 0.7622880 0.8341908      b
## 7      NP    850 0.7722273 0.01752161 27 0.7362759 0.8081787      b
##   precip landuse    lsmean         SE df  lower.CL  upper.CL .group  location n
## 1    472      AG 0.7552471 0.01752161 27 0.7192957 0.7911985     ab   Tribune 4
## 2    472      EA 0.7095220 0.01752161 27 0.6735706 0.7454734      b   Tribune 4
## 3    472      NP 0.7718429 0.01752161 27 0.7358916 0.8077943     a    Tribune 4
## 4    579      AG 0.8285438 0.01752161 27 0.7925924 0.8644952     ab      Hays 4
## 5    579      EA 0.8307880 0.01752161 27 0.7948366 0.8667393     a       Hays 4
## 6    579      NP 0.7775858 0.01752161 27 0.7416344 0.8135372      b      Hays 4
## 7    850      AG 0.9287323 0.01752161 27 0.8927809 0.9646836     a  Manhattan 4
## 8    850      EA 0.7982394 0.01752161 27 0.7622880 0.8341908      b Manhattan 4
## 9    850      NP 0.7722273 0.01752161 27 0.7362759 0.8081787      b Manhattan 4
##       mean         sd          se
## 1 1.115747 0.05221639 0.026108196
## 2 1.124528 0.02037105 0.010185524
## 3 1.097853 0.02760030 0.013800151
## 4 1.187538 0.02638498 0.013192489
## 5 1.215155 0.03269507 0.016347537
## 6 1.102450 0.01546746 0.007733731
## 7 1.244930 0.10989570 0.054947850
## 8 1.198812 0.02582553 0.012912765
## 9 0.991880 0.02333633 0.011668163

5.6 Glucosidase to Alkaline Phosphatase ratio

5.6.1 0-5 cm L*P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        0.030786 0.015393     2 19.676  14.245 0.0001496 ***
## precip         0.024274 0.024274     1 29.860  22.464 4.905e-05 ***
## landuse:precip 0.023176 0.011588     2 19.676  10.724 0.0007083 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq   Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        0.051416 0.0257081     2    27 24.5570 8.388e-07 ***
## precip         0.031808 0.0159040     2    27 15.1919 3.800e-05 ***
## landuse:precip 0.024029 0.0060073     4    27  5.7383   0.00178 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       0.989 0.0162 27    0.956    1.022
##  EA       0.970 0.0162 27    0.937    1.004
##  NP       0.875 0.0162 27    0.842    0.908
## 
## precip = 579:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       1.022 0.0162 27    0.988    1.055
##  EA       1.013 0.0162 27    0.980    1.046
##  NP       0.922 0.0162 27    0.888    0.955
## 
## precip = 850:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       0.876 0.0162 27    0.843    0.909
##  EA       0.972 0.0162 27    0.938    1.005
##  NP       0.891 0.0162 27    0.858    0.924
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  AG       0.989 0.0162 27    0.956    1.022  a    
##  EA       0.970 0.0162 27    0.937    1.004  a    
##  NP       0.875 0.0162 27    0.842    0.908   b   
## 
## precip = 579:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  AG       1.022 0.0162 27    0.988    1.055  a    
##  EA       1.013 0.0162 27    0.980    1.046  a    
##  NP       0.922 0.0162 27    0.888    0.955   b   
## 
## precip = 850:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  EA       0.972 0.0162 27    0.938    1.005  a    
##  NP       0.891 0.0162 27    0.858    0.924   b   
##  AG       0.876 0.0162 27    0.843    0.909   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip    lsmean         SE df  lower.CL  upper.CL .group
## 3      AG    472 0.9887068 0.01617773 27 0.9555128 1.0219007     a 
## 2      EA    472 0.9704553 0.01617773 27 0.9372613 1.0036493     a 
## 1      NP    472 0.8751113 0.01617773 27 0.8419173 0.9083052      b
## 6      AG    579 1.0215308 0.01617773 27 0.9883368 1.0547248     a 
## 5      EA    579 1.0129532 0.01617773 27 0.9797592 1.0461471     a 
## 4      NP    579 0.9216606 0.01617773 27 0.8884666 0.9548545      b
## 7      EA    850 0.9715165 0.01617773 27 0.9383225 1.0047104     a 
## 9      NP    850 0.8907605 0.01617773 27 0.8575665 0.9239544      b
## 8      AG    850 0.8759463 0.01617773 27 0.8427523 0.9091402      b
##   precip landuse    lsmean         SE df  lower.CL  upper.CL .group  location n
## 1    472      AG 0.9887068 0.01617773 27 0.9555128 1.0219007     a    Tribune 4
## 2    472      EA 0.9704553 0.01617773 27 0.9372613 1.0036493     a    Tribune 4
## 3    472      NP 0.8751113 0.01617773 27 0.8419173 0.9083052      b   Tribune 4
## 4    579      AG 1.0215308 0.01617773 27 0.9883368 1.0547248     a       Hays 4
## 5    579      EA 1.0129532 0.01617773 27 0.9797592 1.0461471     a       Hays 4
## 6    579      NP 0.9216606 0.01617773 27 0.8884666 0.9548545      b      Hays 4
## 7    850      AG 0.8759463 0.01617773 27 0.8427523 0.9091402      b Manhattan 4
## 8    850      EA 0.9715165 0.01617773 27 0.9383225 1.0047104     a  Manhattan 4
## 9    850      NP 0.8907605 0.01617773 27 0.8575665 0.9239544      b Manhattan 4
##        mean          sd           se
## 1 0.9887068 0.064207306 0.0321036531
## 2 0.9704553 0.062650271 0.0313251354
## 3 0.8751113 0.001551513 0.0007757564
## 4 1.0215308 0.021037373 0.0105186863
## 5 1.0129532 0.021271173 0.0106355867
## 6 0.9216606 0.003493840 0.0017469201
## 7 0.8759463 0.012170784 0.0060853921
## 8 0.9715165 0.010420600 0.0052102999
## 9 0.8907605 0.014418215 0.0072091074

5.6.2 5-10 cm L*P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        0.068287 0.034144     2    30  13.657 6.067e-05 ***
## precip         0.029726 0.029726     1    30  11.890 0.0016942 ** 
## landuse:precip 0.059389 0.029695     2    30  11.877 0.0001587 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        0.098071 0.049036     2    27 21.8345 2.285e-06 ***
## precip         0.035142 0.017571     2    27  7.8240 0.0020882 ** 
## landuse:precip 0.068340 0.017085     4    27  7.6077 0.0003064 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       1.024 0.0237 27    0.975    1.073
##  EA       1.039 0.0237 27    0.990    1.087
##  NP       0.877 0.0237 27    0.828    0.925
## 
## precip = 579:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       1.038 0.0237 27    0.990    1.087
##  EA       1.016 0.0237 27    0.967    1.064
##  NP       0.914 0.0237 27    0.865    0.963
## 
## precip = 850:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       0.838 0.0237 27    0.790    0.887
##  EA       1.019 0.0237 27    0.970    1.067
##  NP       0.899 0.0237 27    0.851    0.948
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  EA       1.039 0.0237 27    0.990    1.087  a    
##  AG       1.024 0.0237 27    0.975    1.073  a    
##  NP       0.877 0.0237 27    0.828    0.925   b   
## 
## precip = 579:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  AG       1.038 0.0237 27    0.990    1.087  a    
##  EA       1.016 0.0237 27    0.967    1.064  a    
##  NP       0.914 0.0237 27    0.865    0.963   b   
## 
## precip = 850:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  EA       1.019 0.0237 27    0.970    1.067  a    
##  NP       0.899 0.0237 27    0.851    0.948   b   
##  AG       0.838 0.0237 27    0.790    0.887   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip    lsmean         SE df  lower.CL  upper.CL .group
## 3      EA    472 1.0387339 0.02369482 27 0.9901161 1.0873516     a 
## 1      AG    472 1.0239461 0.02369482 27 0.9753283 1.0725639     a 
## 2      NP    472 0.8765723 0.02369482 27 0.8279545 0.9251900      b
## 6      AG    579 1.0382247 0.02369482 27 0.9896069 1.0868424     a 
## 5      EA    579 1.0156473 0.02369482 27 0.9670296 1.0642651     a 
## 4      NP    579 0.9140689 0.02369482 27 0.8654511 0.9626867      b
## 7      EA    850 1.0185166 0.02369482 27 0.9698988 1.0671343     a 
## 9      NP    850 0.8993517 0.02369482 27 0.8507340 0.9479695      b
## 8      AG    850 0.8384528 0.02369482 27 0.7898351 0.8870706      b
##   precip landuse    lsmean         SE df  lower.CL  upper.CL .group  location n
## 1    472      AG 1.0239461 0.02369482 27 0.9753283 1.0725639     a    Tribune 4
## 2    472      EA 1.0387339 0.02369482 27 0.9901161 1.0873516     a    Tribune 4
## 3    472      NP 0.8765723 0.02369482 27 0.8279545 0.9251900      b   Tribune 4
## 4    579      AG 1.0382247 0.02369482 27 0.9896069 1.0868424     a       Hays 4
## 5    579      EA 1.0156473 0.02369482 27 0.9670296 1.0642651     a       Hays 4
## 6    579      NP 0.9140689 0.02369482 27 0.8654511 0.9626867      b      Hays 4
## 7    850      AG 0.8384528 0.02369482 27 0.7898351 0.8870706      b Manhattan 4
## 8    850      EA 1.0185166 0.02369482 27 0.9698988 1.0671343     a  Manhattan 4
## 9    850      NP 0.8993517 0.02369482 27 0.8507340 0.9479695      b Manhattan 4
##        mean          sd          se
## 1 1.0239461 0.046600341 0.023300171
## 2 1.0387339 0.080774408 0.040387204
## 3 0.8765723 0.050190422 0.025095211
## 4 1.0382247 0.007482852 0.003741426
## 5 1.0156473 0.084719185 0.042359592
## 6 0.9140689 0.013517299 0.006758650
## 7 0.8384528 0.020999296 0.010499648
## 8 1.0185166 0.013787091 0.006893546
## 9 0.8993517 0.030817595 0.015408798

5.6.3 10-15 cm L*P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        0.063214 0.031607     2 18.011 12.1798  0.000451 ***
## precip         0.007721 0.007721     1 28.414  2.9751  0.095418 .  
## landuse:precip 0.087057 0.043529     2 18.011 16.7737 7.703e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        0.022719 0.011359     2    27  4.5066 0.0204733 *  
## precip         0.060156 0.030078     2    27 11.9328 0.0001935 ***
## landuse:precip 0.090574 0.022644     4    27  8.9833 9.516e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       0.856 0.0251 27    0.804    0.907
##  EA       0.799 0.0251 27    0.747    0.851
##  NP       0.842 0.0251 27    0.791    0.894
## 
## precip = 579:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       0.933 0.0251 27    0.882    0.985
##  EA       0.932 0.0251 27    0.881    0.984
##  NP       0.888 0.0251 27    0.836    0.939
## 
## precip = 850:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       0.829 0.0251 27    0.777    0.880
##  EA       1.045 0.0251 27    0.994    1.097
##  NP       0.887 0.0251 27    0.835    0.938
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  AG       0.856 0.0251 27    0.804    0.907  a    
##  NP       0.842 0.0251 27    0.791    0.894  a    
##  EA       0.799 0.0251 27    0.747    0.851  a    
## 
## precip = 579:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  AG       0.933 0.0251 27    0.882    0.985  a    
##  EA       0.932 0.0251 27    0.881    0.984  a    
##  NP       0.888 0.0251 27    0.836    0.939  a    
## 
## precip = 850:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  EA       1.045 0.0251 27    0.994    1.097  a    
##  NP       0.887 0.0251 27    0.835    0.938   b   
##  AG       0.829 0.0251 27    0.777    0.880   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip    lsmean         SE df  lower.CL  upper.CL .group
## 2      AG    472 0.8555690 0.02510295 27 0.8040620 0.9070760      a
## 3      NP    472 0.8424409 0.02510295 27 0.7909339 0.8939479      a
## 1      EA    472 0.7990013 0.02510295 27 0.7474943 0.8505083      a
## 6      AG    579 0.9331570 0.02510295 27 0.8816500 0.9846640      a
## 5      EA    579 0.9324732 0.02510295 27 0.8809662 0.9839802      a
## 4      NP    579 0.8875950 0.02510295 27 0.8360880 0.9391020      a
## 7      EA    850 1.0454909 0.02510295 27 0.9939839 1.0969979     a 
## 9      NP    850 0.8868676 0.02510295 27 0.8353606 0.9383746      b
## 8      AG    850 0.8285603 0.02510295 27 0.7770533 0.8800673      b
##   precip landuse    lsmean         SE df  lower.CL  upper.CL .group  location n
## 1    472      AG 0.8555690 0.02510295 27 0.8040620 0.9070760      a   Tribune 4
## 2    472      EA 0.7990013 0.02510295 27 0.7474943 0.8505083      a   Tribune 4
## 3    472      NP 0.8424409 0.02510295 27 0.7909339 0.8939479      a   Tribune 4
## 4    579      AG 0.9331570 0.02510295 27 0.8816500 0.9846640      a      Hays 4
## 5    579      EA 0.9324732 0.02510295 27 0.8809662 0.9839802      a      Hays 4
## 6    579      NP 0.8875950 0.02510295 27 0.8360880 0.9391020      a      Hays 4
## 7    850      AG 0.8285603 0.02510295 27 0.7770533 0.8800673      b Manhattan 4
## 8    850      EA 1.0454909 0.02510295 27 0.9939839 1.0969979     a  Manhattan 4
## 9    850      NP 0.8868676 0.02510295 27 0.8353606 0.9383746      b Manhattan 4
##        mean          sd          se
## 1 0.8555690 0.093220492 0.046610246
## 2 0.7990013 0.057251018 0.028625509
## 3 0.8424409 0.017215516 0.008607758
## 4 0.9331570 0.081701361 0.040850680
## 5 0.9324732 0.037399138 0.018699569
## 6 0.8875950 0.008104582 0.004052291
## 7 0.8285603 0.014364465 0.007182233
## 8 1.0454909 0.006003313 0.003001657
## 9 0.8868676 0.045163163 0.022581582

5.7 Glucosidase to Arylsulfatase ratio

5.7.1 0-5 cm L+P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value   Pr(>F)   
## landuse        1.54428 0.77214     2    30  5.1645 0.011818 * 
## precip         1.18817 1.18817     1    30  7.9471 0.008449 **
## landuse:precip 0.82516 0.41258     2    30  2.7596 0.079412 . 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        2.2637 1.13186     2    27  9.1510 0.0009243 ***
## precip         1.6792 0.83959     2    27  6.7880 0.0040905 ** 
## landuse:precip 1.4799 0.36997     4    27  2.9912 0.0363706 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  landuse lsmean    SE   df lower.CL upper.CL
##  AG       1.567 0.102 24.3    1.358     1.78
##  EA       1.307 0.102 24.3    1.098     1.52
##  NP       0.955 0.102 24.3    0.746     1.16
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  landuse lsmean    SE   df lower.CL upper.CL .group
##  AG       1.567 0.102 24.3    1.358     1.78  a    
##  EA       1.307 0.102 24.3    1.098     1.52  a    
##  NP       0.955 0.102 24.3    0.746     1.16   b   
## 
## Results are averaged over the levels of: precip 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse    lsmean        SE   df  lower.CL upper.CL .group
## 3      AG 1.5669135 0.1015246 24.3 1.3575138 1.776313     a 
## 2      EA 1.3069852 0.1015246 24.3 1.0975855 1.516385     a 
## 1      NP 0.9549815 0.1015246 24.3 0.7455819 1.164381      b

## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        2.2637 1.13186     2    27  9.1510 0.0009243 ***
## precip         1.6792 0.83959     2    27  6.7880 0.0040905 ** 
## landuse:precip 1.4799 0.36997     4    27  2.9912 0.0363706 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean    SE   df lower.CL upper.CL
##  472      1.58 0.102 13.5    1.357     1.79
##  579      1.18 0.102 13.5    0.960     1.40
##  850      1.07 0.102 13.5    0.856     1.29
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean    SE   df lower.CL upper.CL .group
##  472      1.58 0.102 13.5    1.357     1.79  a    
##  579      1.18 0.102 13.5    0.960     1.40   b   
##  850      1.07 0.102 13.5    0.856     1.29   b   
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean        SE   df  lower.CL upper.CL .group
## 3    472 1.575773 0.1015246 13.5 1.3572655 1.794281     a 
## 2    579 1.178510 0.1015246 13.5 0.9600025 1.397018      b
## 1    850 1.074597 0.1015246 13.5 0.8560893 1.293105      b

5.7.2 5-10 cm

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF DenDF F value Pr(>F)
## landuse        0.083763 0.041882     2    30  0.8405 0.4414
## precip         0.037473 0.037473     1    30  0.7521 0.3927
## landuse:precip 0.065728 0.032864     2    30  0.6596 0.5244

5.7.3 10-15 cm L*P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF  DenDF F value  Pr(>F)   
## landuse        0.018804 0.009402     2 20.834  2.8763 0.07887 . 
## precip         0.030522 0.030522     1 28.464  9.3376 0.00484 **
## landuse:precip 0.027595 0.013798     2 20.834  4.2211 0.02890 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        0.173416 0.086708     2    27 30.4426 1.204e-07 ***
## precip         0.079514 0.039757     2    27 13.9585 6.877e-05 ***
## landuse:precip 0.040865 0.010216     4    27  3.5869   0.01803 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       1.017 0.0267 27    0.962    1.072
##  EA       0.931 0.0267 27    0.877    0.986
##  NP       0.912 0.0267 27    0.858    0.967
## 
## precip = 579:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       1.149 0.0267 27    1.094    1.204
##  EA       1.097 0.0267 27    1.042    1.152
##  NP       0.937 0.0267 27    0.883    0.992
## 
## precip = 850:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       1.018 0.0267 27    0.963    1.073
##  EA       1.048 0.0267 27    0.993    1.102
##  NP       0.849 0.0267 27    0.794    0.904
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  AG       1.017 0.0267 27    0.962    1.072  a    
##  EA       0.931 0.0267 27    0.877    0.986   b   
##  NP       0.912 0.0267 27    0.858    0.967   b   
## 
## precip = 579:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  AG       1.149 0.0267 27    1.094    1.204  a    
##  EA       1.097 0.0267 27    1.042    1.152  a    
##  NP       0.937 0.0267 27    0.883    0.992   b   
## 
## precip = 850:
##  landuse lsmean     SE df lower.CL upper.CL .group
##  EA       1.048 0.0267 27    0.993    1.102  a    
##  AG       1.018 0.0267 27    0.963    1.073  a    
##  NP       0.849 0.0267 27    0.794    0.904   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   landuse precip    lsmean         SE df  lower.CL  upper.CL .group
## 3      AG    472 1.0171728 0.02668445 27 0.9624208 1.0719247     a 
## 2      EA    472 0.9313324 0.02668445 27 0.8765804 0.9860844      b
## 1      NP    472 0.9122885 0.02668445 27 0.8575366 0.9670405      b
## 6      AG    579 1.1488597 0.02668445 27 1.0941077 1.2036117     a 
## 5      EA    579 1.0969113 0.02668445 27 1.0421594 1.1516633     a 
## 4      NP    579 0.9373040 0.02668445 27 0.8825520 0.9920560      b
## 9      EA    850 1.0475292 0.02668445 27 0.9927772 1.1022812     a 
## 7      AG    850 1.0181366 0.02668445 27 0.9633846 1.0728885     a 
## 8      NP    850 0.8487763 0.02668445 27 0.7940243 0.9035282      b
##   precip landuse    lsmean         SE df  lower.CL  upper.CL .group  location n
## 1    472      AG 1.0171728 0.02668445 27 0.9624208 1.0719247     a    Tribune 4
## 2    472      EA 0.9313324 0.02668445 27 0.8765804 0.9860844      b   Tribune 4
## 3    472      NP 0.9122885 0.02668445 27 0.8575366 0.9670405      b   Tribune 4
## 4    579      AG 1.1488597 0.02668445 27 1.0941077 1.2036117     a       Hays 4
## 5    579      EA 1.0969113 0.02668445 27 1.0421594 1.1516633     a       Hays 4
## 6    579      NP 0.9373040 0.02668445 27 0.8825520 0.9920560      b      Hays 4
## 7    850      AG 1.0181366 0.02668445 27 0.9633846 1.0728885     a  Manhattan 4
## 8    850      EA 1.0475292 0.02668445 27 0.9927772 1.1022812     a  Manhattan 4
## 9    850      NP 0.8487763 0.02668445 27 0.7940243 0.9035282      b Manhattan 4
##        mean          sd          se
## 1 1.0171728 0.098679307 0.049339654
## 2 0.9313324 0.041765819 0.020882910
## 3 0.9122885 0.018838362 0.009419181
## 4 1.1488597 0.080204565 0.040102283
## 5 1.0969113 0.021057570 0.010528785
## 6 0.9373040 0.009795275 0.004897638
## 7 1.0181366 0.075648283 0.037824141
## 8 1.0475292 0.026383840 0.013191920
## 9 0.8487763 0.020158780 0.010079390

5.8 Glucosidase to Phosphodiesterase ratio

5.8.1 0-5 cm P

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF DenDF F value  Pr(>F)  
## landuse        0.019888 0.009944     2    30  1.6719 0.20493  
## precip         0.032455 0.032455     1    30  5.4566 0.02637 *
## landuse:precip 0.006598 0.003299     2    30  0.5547 0.58003  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF DenDF F value   Pr(>F)   
## landuse        0.096133 0.048066     2    27  8.9888 0.001018 **
## precip         0.065483 0.032742     2    27  6.1230 0.006415 **
## landuse:precip 0.007623 0.001906     4    27  0.3564 0.837285   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean     SE   df lower.CL upper.CL
##  472     1.002 0.0211 13.5    0.957    1.048
##  579     1.054 0.0211 13.5    1.008    1.099
##  850     0.949 0.0211 13.5    0.904    0.995
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean     SE   df lower.CL upper.CL .group
##  579     1.054 0.0211 13.5    1.008    1.099  a    
##  472     1.002 0.0211 13.5    0.957    1.048  ab   
##  850     0.949 0.0211 13.5    0.904    0.995   b   
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip    lsmean         SE   df  lower.CL  upper.CL .group
## 3    579 1.0536234 0.02110953 13.5 1.0081901 1.0990567     a 
## 1    472 1.0024758 0.02110953 13.5 0.9570425 1.0479091     ab
## 2    850 0.9491612 0.02110953 13.5 0.9037280 0.9945945      b

5.8.2 5-10 cm P

## [1] "5-10 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        0.016193 0.008096     2    30  2.0161    0.1508    
## precip         0.096856 0.096856     1    30 24.1180 2.995e-05 ***
## landuse:precip 0.006036 0.003018     2    30  0.7515    0.4803    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF  DenDF F value    Pr(>F)    
## landuse        0.066336 0.033168     2 20.918 11.0506 0.0005307 ***
## precip         0.102891 0.051445     2 16.669 17.1400 9.034e-05 ***
## landuse:precip 0.030904 0.007726     4 19.558  2.5741 0.0699051 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##  precip lsmean     SE   df lower.CL upper.CL
##  472     1.026 0.0167 21.2    0.991     1.06
##  579     1.028 0.0175 11.3    0.989     1.07
##  850     0.912 0.0175 11.3    0.873     0.95
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##  precip lsmean     SE   df lower.CL upper.CL .group
##  579     1.028 0.0175 11.3    0.989     1.07  a    
##  472     1.026 0.0167 21.2    0.991     1.06  a    
##  850     0.912 0.0175 11.3    0.873     0.95   b   
## 
## Results are averaged over the levels of: landuse 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05
##   precip   lsmean         SE       df  lower.CL  upper.CL .group
## 3    579 1.027668 0.01745650 11.33895 0.9893857 1.0659494     a 
## 1    472 1.025530 0.01674693 21.23668 0.9907267 1.0603337     a 
## 2    850 0.911640 0.01745650 11.33895 0.8733581 0.9499218      b

5.8.3 10-15 cm L*P

## [1] "10-15 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq  Mean Sq NumDF  DenDF F value   Pr(>F)   
## landuse        0.029089 0.014544     2 19.276  5.0271 0.017499 * 
## precip         0.022339 0.022339     1 29.992  7.7213 0.009326 **
## landuse:precip 0.033967 0.016983     2 19.276  5.8702 0.010210 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq   Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        0.009655 0.0048277     2    27  2.0485 0.1485011    
## precip         0.045578 0.0227891     2    27  9.6697 0.0006809 ***
## landuse:precip 0.051612 0.0129030     4    27  5.4749 0.0023213 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       0.917 0.0243 27    0.867    0.967
##  EA       0.870 0.0243 27    0.821    0.920
##  NP       0.929 0.0243 27    0.879    0.978
## 
## precip = 579:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       1.032 0.0243 27    0.982    1.082
##  EA       0.974 0.0243 27    0.924    1.024
##  NP       0.920 0.0243 27    0.870    0.970
## 
## precip = 850:
##  landuse lsmean     SE df lower.CL upper.CL
##  AG       0.864 0.0243 27    0.814    0.914
##  EA       0.965 0.0243 27    0.915    1.014
##  NP       0.858 0.0243 27    0.808    0.908
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##   landuse precip    lsmean         SE df  lower.CL  upper.CL .group
## 3      AG    472 1.0171728 0.02668445 27 0.9624208 1.0719247     a 
## 2      EA    472 0.9313324 0.02668445 27 0.8765804 0.9860844      b
## 1      NP    472 0.9122885 0.02668445 27 0.8575366 0.9670405      b
## 6      AG    579 1.1488597 0.02668445 27 1.0941077 1.2036117     a 
## 5      EA    579 1.0969113 0.02668445 27 1.0421594 1.1516633     a 
## 4      NP    579 0.9373040 0.02668445 27 0.8825520 0.9920560      b
## 9      EA    850 1.0475292 0.02668445 27 0.9927772 1.1022812     a 
## 7      AG    850 1.0181366 0.02668445 27 0.9633846 1.0728885     a 
## 8      NP    850 0.8487763 0.02668445 27 0.7940243 0.9035282      b
##   landuse precip    lsmean         SE df  lower.CL  upper.CL .group
## 2      NP    472 0.9285037 0.02427323 27 0.8786991 0.9783083      a
## 1      AG    472 0.9168469 0.02427323 27 0.8670423 0.9666515      a
## 3      EA    472 0.8703506 0.02427323 27 0.8205460 0.9201551      a
## 6      AG    579 1.0318118 0.02427323 27 0.9820073 1.0816164     a 
## 5      EA    579 0.9741848 0.02427323 27 0.9243803 1.0239894     ab
## 4      NP    579 0.9201495 0.02427323 27 0.8703449 0.9699540      b
## 9      EA    850 0.9646501 0.02427323 27 0.9148456 1.0144547     a 
## 7      AG    850 0.8638658 0.02427323 27 0.8140613 0.9136704      b
## 8      NP    850 0.8580194 0.02427323 27 0.8082149 0.9078240      b
##   precip landuse    lsmean         SE df  lower.CL  upper.CL .group  location n
## 1    472      AG 0.9168469 0.02427323 27 0.8670423 0.9666515      a   Tribune 4
## 2    472      EA 0.8703506 0.02427323 27 0.8205460 0.9201551      a   Tribune 4
## 3    472      NP 0.9285037 0.02427323 27 0.8786991 0.9783083      a   Tribune 4
## 4    579      AG 1.0318118 0.02427323 27 0.9820073 1.0816164     a       Hays 4
## 5    579      EA 0.9741848 0.02427323 27 0.9243803 1.0239894     ab      Hays 4
## 6    579      NP 0.9201495 0.02427323 27 0.8703449 0.9699540      b      Hays 4
## 7    850      AG 0.8638658 0.02427323 27 0.8140613 0.9136704      b Manhattan 4
## 8    850      EA 0.9646501 0.02427323 27 0.9148456 1.0144547     a  Manhattan 4
## 9    850      NP 0.8580194 0.02427323 27 0.8082149 0.9078240      b Manhattan 4
##        mean         sd          se
## 1 0.9168469 0.07347363 0.036736814
## 2 0.8703506 0.06319757 0.031598787
## 3 0.9285037 0.02656181 0.013280907
## 4 1.0318118 0.08691864 0.043459322
## 5 0.9741848 0.03783446 0.018917229
## 6 0.9201495 0.01446299 0.007231497
## 7 0.8638658 0.02351076 0.011755379
## 8 0.9646501 0.03004805 0.015024025
## 9 0.8580194 0.02149145 0.010745727