Nutrients

Monthly

Ammonium

TSF best model. ESD and Grazer only models are actually less explanatory than TSF only.

## 
## Model selection based on AICc:
## 
##         K    AICc Delta_AICc AICcWt Cum.Wt      LL
## NHT     8 1681.20       0.00   0.62   0.62 -832.54
## NHTE   11 1682.92       1.72   0.26   0.88 -830.34
## NHNull  5 1685.60       4.40   0.07   0.95 -837.78
## NHG     6 1687.62       6.42   0.03   0.97 -837.77
## NHE     8 1688.27       7.07   0.02   0.99 -836.07
## NHInt  20 1690.07       8.87   0.01   1.00 -824.66
## Data: Soil181920
## Models:
## NHT: log(NH4_ppm + 1) ~ TSF + (1 | Location/Year/Month)
## NHTE: log(NH4_ppm + 1) ~ TSF + ESD + (1 | Location/Year/Month)
## NHInt: log(NH4_ppm + 1) ~ TSF * ESD + (1 | Location/Year/Month)
##       npar    AIC    BIC  logLik deviance   Chisq Df Pr(>Chisq)
## NHT      8 1681.1 1721.3 -832.54   1665.1                      
## NHTE    11 1682.7 1738.0 -830.34   1660.7  4.3858  3     0.2227
## NHInt   20 1689.3 1789.9 -824.66   1649.3 11.3728  9     0.2510
## Data: Soil181920
## Models:
## NHNull: log(NH4_ppm + 1) ~ 1 + (1 | Location/Year/Month)
## NHT: log(NH4_ppm + 1) ~ TSF + (1 | Location/Year/Month)
##        npar    AIC    BIC  logLik deviance Chisq Df Pr(>Chisq)  
## NHNull    5 1685.5 1710.7 -837.78   1675.5                      
## NHT       8 1681.1 1721.3 -832.54   1665.1 10.48  3     0.0149 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Data: Soil181920
## Models:
## NHNull: log(NH4_ppm + 1) ~ 1 + (1 | Location/Year/Month)
## NHE: log(NH4_ppm + 1) ~ ESD + (1 | Location/Year/Month)
##        npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)
## NHNull    5 1685.5 1710.7 -837.78   1675.5                     
## NHE       8 1688.1 1728.4 -836.07   1672.1 3.4098  3     0.3326
## Data: Soil181920
## Models:
## NHNull: log(NH4_ppm + 1) ~ 1 + (1 | Location/Year/Month)
## NHG: log(NH4_ppm + 1) ~ Treatment + (1 | Location/Year/Month)
##        npar    AIC    BIC  logLik deviance Chisq Df Pr(>Chisq)
## NHNull    5 1685.5 1710.7 -837.78   1675.5                    
## NHG       6 1687.5 1717.7 -837.77   1675.5  0.01  1     0.9202
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = log(NH4_ppm + 1) ~ TSF + ESD + (1 | Location/Year/Month), 
##     data = Soil181920, REML = FALSE)
## 
## Linear Hypotheses:
##                                            Estimate Std. Error z value Pr(>|z|)
## Intermediate - Recently Burned == 0       -0.073183   0.034285  -2.135   0.1344
## 3 Years Since Fire - Recently Burned == 0 -0.170252   0.058056  -2.933   0.0165
## Not Yet Burned - Recently Burned == 0      0.004507   0.040176   0.112   0.9995
## 3 Years Since Fire - Intermediate == 0    -0.097069   0.054484  -1.782   0.2700
## Not Yet Burned - Intermediate == 0         0.077690   0.037783   2.056   0.1589
## Not Yet Burned - 3 Years Since Fire == 0   0.174758   0.063823   2.738   0.0286
##                                            
## Intermediate - Recently Burned == 0        
## 3 Years Since Fire - Recently Burned == 0 *
## Not Yet Burned - Recently Burned == 0      
## 3 Years Since Fire - Intermediate == 0     
## Not Yet Burned - Intermediate == 0         
## Not Yet Burned - 3 Years Since Fire == 0  *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = log(NH4_ppm + 1) ~ TSF + ESD + (1 | Location/Year/Month), 
##     data = Soil181920, REML = FALSE)
## 
## Linear Hypotheses:
##                               Estimate Std. Error z value Pr(>|z|)
## Loamy - Clayey == 0           0.074967   0.055261   1.357    0.517
## Saline Lowland - Clayey == 0 -0.042612   0.042907  -0.993    0.746
## Sandy - Clayey == 0          -0.006713   0.039381  -0.170    0.998
## Saline Lowland - Loamy == 0  -0.117580   0.056261  -2.090    0.150
## Sandy - Loamy == 0           -0.081680   0.049833  -1.639    0.347
## Sandy - Saline Lowland == 0   0.035899   0.034613   1.037    0.720
## (Adjusted p values reported -- single-step method)

Nitrate

## 
## Model selection based on AICc:
## 
##         K    AICc Delta_AICc AICcWt Cum.Wt      LL
## NOTE   11 1523.47       0.00   0.67   0.67 -750.61
## NOT     8 1526.49       3.03   0.15   0.82 -755.18
## NOE     8 1526.95       3.49   0.12   0.93 -755.41
## NOInt  20 1528.71       5.24   0.05   0.98 -743.98
## NOG     6 1531.89       8.42   0.01   0.99 -759.91
## NONull  5 1532.45       8.98   0.01   1.00 -761.20
## Data: Soil181920
## Models:
## NOT: log(NO3_ppm + 1) ~ TSF + (1 | Location/Year/Month)
## NOTE: log(NO3_ppm + 1) ~ TSF + ESD + (1 | Location/Year/Month)
## NOInt: log(NO3_ppm + 1) ~ TSF * ESD + (1 | Location/Year/Month)
##       npar    AIC    BIC  logLik deviance   Chisq Df Pr(>Chisq)  
## NOT      8 1526.4 1566.6 -755.18   1510.4                        
## NOTE    11 1523.2 1578.5 -750.61   1501.2  9.1353  3    0.02754 *
## NOInt   20 1528.0 1628.5 -743.98   1488.0 13.2785  9    0.15040  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Data: Soil181920
## Models:
## NONull: log(NO3_ppm + 1) ~ 1 + (1 | Location/Year/Month)
## NOT: log(NO3_ppm + 1) ~ TSF + (1 | Location/Year/Month)
##        npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)   
## NONull    5 1532.4 1557.5 -761.20   1522.4                        
## NOT       8 1526.4 1566.6 -755.18   1510.4 12.029  3   0.007284 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Data: Soil181920
## Models:
## NONull: log(NO3_ppm + 1) ~ 1 + (1 | Location/Year/Month)
## NOE: log(NO3_ppm + 1) ~ ESD + (1 | Location/Year/Month)
##        npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)   
## NONull    5 1532.4 1557.5 -761.20   1522.4                        
## NOE       8 1526.8 1567.0 -755.41   1510.8 11.569  3   0.009017 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = log(NO3_ppm + 1) ~ TSF + ESD + (1 | Location/Year/Month), 
##     data = Soil181920, REML = FALSE)
## 
## Linear Hypotheses:
##                                            Estimate Std. Error z value Pr(>|z|)
## Intermediate - Recently Burned == 0       -0.064651   0.033455  -1.932   0.2046
## 3 Years Since Fire - Recently Burned == 0 -0.165734   0.056068  -2.956   0.0152
## Not Yet Burned - Recently Burned == 0     -0.056897   0.038907  -1.462   0.4472
## 3 Years Since Fire - Intermediate == 0    -0.101083   0.052669  -1.919   0.2100
## Not Yet Burned - Intermediate == 0         0.007754   0.036371   0.213   0.9964
## Not Yet Burned - 3 Years Since Fire == 0   0.108837   0.060923   1.786   0.2684
##                                            
## Intermediate - Recently Burned == 0        
## 3 Years Since Fire - Recently Burned == 0 *
## Not Yet Burned - Recently Burned == 0      
## 3 Years Since Fire - Intermediate == 0     
## Not Yet Burned - Intermediate == 0         
## Not Yet Burned - 3 Years Since Fire == 0   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = log(NO3_ppm + 1) ~ TSF + ESD + (1 | Location/Year/Month), 
##     data = Soil181920, REML = FALSE)
## 
## Linear Hypotheses:
##                               Estimate Std. Error z value Pr(>|z|)  
## Loamy - Clayey == 0           0.006175   0.053557   0.115   0.9994  
## Saline Lowland - Clayey == 0  0.065528   0.041500   1.579   0.3816  
## Sandy - Clayey == 0          -0.035168   0.038274  -0.919   0.7889  
## Saline Lowland - Loamy == 0   0.059352   0.053961   1.100   0.6819  
## Sandy - Loamy == 0           -0.041343   0.048248  -0.857   0.8219  
## Sandy - Saline Lowland == 0  -0.100695   0.033525  -3.004   0.0141 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)

Soil Moisture

## 
## Model selection based on AICc:
## 
##        K   AICc Delta_AICc AICcWt Cum.Wt     LL
## MTE   11  41.95       0.00   0.89   0.89  -9.80
## MInt  20  46.05       4.11   0.11   1.00  -2.45
## ME     8  64.32      22.37   0.00   1.00 -24.06
## MT     8 165.99     124.04   0.00   1.00 -74.90
## MNull  5 182.42     140.47   0.00   1.00 -86.17
## MG     6 184.39     142.44   0.00   1.00 -86.14
## Data: Soil1920
## Models:
## MT: log(Moisture + 1) ~ TSF + (1 | Location/Year/Month)
## MTE: log(Moisture + 1) ~ TSF + ESD + (1 | Location/Year/Month)
## MInt: log(Moisture + 1) ~ TSF * ESD + (1 | Location/Year/Month)
##      npar     AIC     BIC  logLik deviance   Chisq Df Pr(>Chisq)    
## MT      8 165.799 202.781 -74.899  149.799                          
## MTE    11  41.591  92.441  -9.795   19.591 130.208  3    < 2e-16 ***
## MInt   20  44.904 137.359  -2.452    4.904  14.687  9    0.09991 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Data: Soil1920
## Models:
## MNull: log(Moisture + 1) ~ 1 + (1 | Location/Year/Month)
## MT: log(Moisture + 1) ~ TSF + (1 | Location/Year/Month)
##       npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)    
## MNull    5 182.34 205.45 -86.168   172.34                         
## MT       8 165.80 202.78 -74.899   149.80 22.537  3  5.044e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Data: Soil1920
## Models:
## MNull: log(Moisture + 1) ~ 1 + (1 | Location/Year/Month)
## ME: log(Moisture + 1) ~ ESD + (1 | Location/Year/Month)
##       npar     AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)    
## MNull    5 182.335 205.45 -86.168  172.335                         
## ME       8  64.127 101.11 -24.064   48.127 124.21  3  < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Data: Soil1920
## Models:
## MNull: log(Moisture + 1) ~ 1 + (1 | Location/Year/Month)
## MInt: log(Moisture + 1) ~ TSF * ESD + (1 | Location/Year/Month)
##       npar     AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)    
## MNull    5 182.335 205.45 -86.168  172.335                         
## MInt    20  44.904 137.36  -2.452    4.904 167.43 15  < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = log(Moisture + 1) ~ TSF + ESD + (1 | Location/Year/Month), 
##     data = Soil1920, REML = FALSE)
## 
## Linear Hypotheses:
##                                           Estimate Std. Error z value Pr(>|z|)
## Intermediate - Recently Burned == 0        0.03198    0.01958   1.633  0.34677
## 3 Years Since Fire - Recently Burned == 0  0.05803    0.02905   1.997  0.17996
## Not Yet Burned - Recently Burned == 0     -0.10701    0.02884  -3.710  0.00114
## 3 Years Since Fire - Intermediate == 0     0.02605    0.02693   0.967  0.75852
## Not Yet Burned - Intermediate == 0        -0.13899    0.02672  -5.201  < 0.001
## Not Yet Burned - 3 Years Since Fire == 0  -0.16504    0.03665  -4.503  < 0.001
##                                              
## Intermediate - Recently Burned == 0          
## 3 Years Since Fire - Recently Burned == 0    
## Not Yet Burned - Recently Burned == 0     ** 
## 3 Years Since Fire - Intermediate == 0       
## Not Yet Burned - Intermediate == 0        ***
## Not Yet Burned - 3 Years Since Fire == 0  ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = log(Moisture + 1) ~ TSF + ESD + (1 | Location/Year/Month), 
##     data = Soil1920, REML = FALSE)
## 
## Linear Hypotheses:
##                              Estimate Std. Error z value Pr(>|z|)    
## Loamy - Clayey == 0           0.02191    0.03308   0.662   0.9082    
## Saline Lowland - Clayey == 0  0.12123    0.02570   4.718   <0.001 ***
## Sandy - Clayey == 0          -0.11843    0.02352  -5.035   <0.001 ***
## Saline Lowland - Loamy == 0   0.09932    0.03354   2.962   0.0154 *  
## Sandy - Loamy == 0           -0.14034    0.02977  -4.715   <0.001 ***
## Sandy - Saline Lowland == 0  -0.23966    0.02066 -11.600   <0.001 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)

Single

Total C

cowplot::plot_grid( TCplot1,TCplot2, TCplot3, nrow = 3, labels=c("A","B","C") )

## 
## Model selection based on AICc:
## 
##         K    AICc Delta_AICc AICcWt Cum.Wt    LL
## TCTE   10 -136.53       0.00   0.83   0.83 78.67
## TCE     7 -133.33       3.20   0.17   1.00 73.87
## TCInt  19 -120.35      16.18   0.00   1.00 80.63
## TCT     7  -66.53      70.00   0.00   1.00 40.47
## TCNull  4  -64.10      72.43   0.00   1.00 36.12
## TCG     5  -63.66      72.87   0.00   1.00 36.94
## Data: SoilJuly181920
## Models:
## TCE: log(TotalC_percent + 1) ~ ESD + (1 | Location/Year)
## TCTE: log(TotalC_percent + 1) ~ TSF + ESD + (1 | Location/Year)
## TCInt: log(TotalC_percent + 1) ~ TSF * ESD + (1 | Location/Year)
##       npar     AIC      BIC logLik deviance  Chisq Df Pr(>Chisq)  
## TCE      7 -133.74 -108.246 73.870  -147.74                       
## TCTE    10 -137.34 -100.924 78.671  -157.34 9.6032  3    0.02226 *
## TCInt   19 -123.25  -54.058 80.627  -161.25 3.9116  9    0.91713  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Data: SoilJuly181920
## Models:
## TCNull: log(TotalC_percent + 1) ~ 1 + (1 | Location/Year)
## TCT: log(TotalC_percent + 1) ~ TSF + (1 | Location/Year)
##        npar     AIC     BIC logLik deviance  Chisq Df Pr(>Chisq)  
## TCNull    4 -64.244 -49.676 36.122  -72.244                       
## TCT       7 -66.939 -41.445 40.469  -80.939 8.6948  3    0.03364 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Data: SoilJuly181920
## Models:
## TCNull: log(TotalC_percent + 1) ~ 1 + (1 | Location/Year)
## TCE: log(TotalC_percent + 1) ~ ESD + (1 | Location/Year)
##        npar      AIC      BIC logLik deviance  Chisq Df Pr(>Chisq)    
## TCNull    4  -64.244  -49.676 36.122  -72.244                         
## TCE       7 -133.740 -108.246 73.870 -147.740 75.496  3  2.837e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = log(TotalC_percent + 1) ~ TSF + ESD + (1 | Location/Year), 
##     data = SoilJuly181920, REML = FALSE)
## 
## Linear Hypotheses:
##                                            Estimate Std. Error z value Pr(>|z|)
## Intermediate - Recently Burned == 0       -0.007195   0.026704  -0.269   0.9929
## 3 Years Since Fire - Recently Burned == 0 -0.021071   0.043213  -0.488   0.9604
## Not Yet Burned - Recently Burned == 0     -0.083794   0.030216  -2.773   0.0266
## 3 Years Since Fire - Intermediate == 0    -0.013876   0.040774  -0.340   0.9859
## Not Yet Burned - Intermediate == 0        -0.076598   0.027582  -2.777   0.0266
## Not Yet Burned - 3 Years Since Fire == 0  -0.062722   0.044759  -1.401   0.4880
##                                            
## Intermediate - Recently Burned == 0        
## 3 Years Since Fire - Recently Burned == 0  
## Not Yet Burned - Recently Burned == 0     *
## 3 Years Since Fire - Intermediate == 0     
## Not Yet Burned - Intermediate == 0        *
## Not Yet Burned - 3 Years Since Fire == 0   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = log(TotalC_percent + 1) ~ TSF + ESD + (1 | Location/Year), 
##     data = SoilJuly181920, REML = FALSE)
## 
## Linear Hypotheses:
##                              Estimate Std. Error z value Pr(>|z|)    
## Loamy - Clayey == 0           0.07673    0.04303   1.783  0.27330    
## Saline Lowland - Clayey == 0  0.12410    0.03330   3.726  0.00107 ** 
## Sandy - Clayey == 0          -0.11222    0.03073  -3.651  0.00141 ** 
## Saline Lowland - Loamy == 0   0.04737    0.04352   1.088  0.68894    
## Sandy - Loamy == 0           -0.18895    0.03882  -4.868  < 0.001 ***
## Sandy - Saline Lowland == 0  -0.23631    0.02695  -8.767  < 0.001 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)

Total N

cowplot::plot_grid( TNplot1,TNplot2, TNplot3, nrow = 3, labels=c("A","B","C") )

## 
## Model selection based on AICc:
## 
##         K    AICc Delta_AICc AICcWt Cum.Wt     LL
## TNTE   10 -900.36       0.00   0.62   0.62 460.59
## TNE     7 -899.35       1.01   0.38   1.00 456.88
## TNInt  19 -883.67      16.70   0.00   1.00 462.28
## TNT     7 -838.40      61.96   0.00   1.00 426.41
## TNNull  4 -837.76      62.61   0.00   1.00 422.95
## TNG     5 -836.58      63.79   0.00   1.00 423.40
## Data: SoilJuly181920
## Models:
## TNE: TotalN_percent ~ ESD + (1 | Location/Year)
## TNTE: TotalN_percent ~ TSF + ESD + (1 | Location/Year)
## TNInt: TotalN_percent ~ TSF * ESD + (1 | Location/Year)
##       npar     AIC     BIC logLik deviance  Chisq Df Pr(>Chisq)  
## TNE      7 -899.76 -874.27 456.88  -913.76                       
## TNTE    10 -901.18 -864.76 460.59  -921.18 7.4117  3    0.05987 .
## TNInt   19 -886.57 -817.37 462.28  -924.57 3.3926  9    0.94668  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Data: SoilJuly181920
## Models:
## TNNull: TotalN_percent ~ 1 + (1 | Location/Year)
## TNE: TotalN_percent ~ ESD + (1 | Location/Year)
##        npar     AIC     BIC logLik deviance  Chisq Df Pr(>Chisq)    
## TNNull    4 -837.90 -823.33 422.95  -845.90                         
## TNE       7 -899.76 -874.27 456.88  -913.76 67.863  3  1.224e-14 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Data: SoilJuly181920
## Models:
## TNNull: TotalN_percent ~ 1 + (1 | Location/Year)
## TNT: TotalN_percent ~ TSF + (1 | Location/Year)
##        npar     AIC     BIC logLik deviance  Chisq Df Pr(>Chisq)  
## TNNull    4 -837.90 -823.33 422.95  -845.90                       
## TNT       7 -838.81 -813.32 426.41  -852.81 6.9111  3    0.07479 .
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = TotalN_percent ~ TSF + ESD + (1 | Location/Year), 
##     data = SoilJuly181920, REML = FALSE)
## 
## Linear Hypotheses:
##                                            Estimate Std. Error z value Pr(>|z|)
## Intermediate - Recently Burned == 0       -0.003176   0.006814  -0.466   0.9649
## 3 Years Since Fire - Recently Burned == 0 -0.001587   0.011265  -0.141   0.9990
## Not Yet Burned - Recently Burned == 0     -0.020344   0.007834  -2.597   0.0438
## 3 Years Since Fire - Intermediate == 0     0.001588   0.010614   0.150   0.9987
## Not Yet Burned - Intermediate == 0        -0.017168   0.007251  -2.368   0.0792
## Not Yet Burned - 3 Years Since Fire == 0  -0.018757   0.012002  -1.563   0.3883
##                                            
## Intermediate - Recently Burned == 0        
## 3 Years Since Fire - Recently Burned == 0  
## Not Yet Burned - Recently Burned == 0     *
## 3 Years Since Fire - Intermediate == 0     
## Not Yet Burned - Intermediate == 0        .
## Not Yet Burned - 3 Years Since Fire == 0   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = TotalN_percent ~ ESD + (1 | Location/Year), data = SoilJuly181920, 
##     REML = FALSE)
## 
## Linear Hypotheses:
##                               Estimate Std. Error z value Pr(>|z|)    
## Loamy - Clayey == 0           0.005811   0.011032   0.527   0.9509    
## Saline Lowland - Clayey == 0  0.022011   0.008501   2.589   0.0456 *  
## Sandy - Clayey == 0          -0.035128   0.007893  -4.451   <0.001 ***
## Saline Lowland - Loamy == 0   0.016200   0.011134   1.455   0.4556    
## Sandy - Loamy == 0           -0.040939   0.009949  -4.115   <0.001 ***
## Sandy - Saline Lowland == 0  -0.057139   0.006872  -8.315   <0.001 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)

P

cowplot::plot_grid( P_ppmplot1,P_ppmplot2, P_ppmplot3, nrow = 3, labels=c("A","B","C") )

## 
## Model selection based on AICc:
## 
##        K   AICc Delta_AICc AICcWt Cum.Wt      LL
## PE     7 280.75       0.00   0.73   0.73 -133.17
## PTE   10 282.70       1.95   0.27   1.00 -130.95
## PInt  19 295.80      15.05   0.00   1.00 -127.45
## PNull  4 352.12      71.37   0.00   1.00 -171.99
## PT     7 353.82      73.07   0.00   1.00 -169.71
## PG     5 354.13      73.38   0.00   1.00 -171.96
## Data: SoilJuly181920
## Models:
## PE: log(P_ppm + 1) ~ ESD + (1 | Location/Year)
## PTE: log(P_ppm + 1) ~ TSF + ESD + (1 | Location/Year)
## PInt: log(P_ppm + 1) ~ TSF * ESD + (1 | Location/Year)
##      npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)
## PE      7 280.34 305.84 -133.17   266.34                     
## PTE    10 281.89 318.31 -130.95   261.89 4.4524  3     0.2166
## PInt   19 292.90 362.10 -127.45   254.90 6.9905  9     0.6381
## Data: SoilJuly181920
## Models:
## PNull: log(P_ppm + 1) ~ 1 + (1 | Location/Year)
## PE: log(P_ppm + 1) ~ ESD + (1 | Location/Year)
##       npar    AIC    BIC  logLik deviance Chisq Df Pr(>Chisq)    
## PNull    4 351.97 366.54 -171.99   343.97                        
## PE       7 280.34 305.84 -133.17   266.34 77.63  3  < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Data: SoilJuly181920
## Models:
## PNull: log(P_ppm + 1) ~ 1 + (1 | Location/Year)
## PT: log(P_ppm + 1) ~ TSF + (1 | Location/Year)
##       npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)
## PNull    4 351.97 366.54 -171.99   343.97                     
## PT       7 353.41 378.90 -169.71   339.41 4.5641  3     0.2066
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = log(P_ppm + 1) ~ TSF + ESD + (1 | Location/Year), 
##     data = SoilJuly181920, REML = FALSE)
## 
## Linear Hypotheses:
##                                           Estimate Std. Error z value Pr(>|z|)
## Intermediate - Recently Burned == 0        0.04547    0.05528   0.823    0.837
## 3 Years Since Fire - Recently Burned == 0 -0.08417    0.09191  -0.916    0.789
## Not Yet Burned - Recently Burned == 0     -0.05481    0.06383  -0.859    0.819
## 3 Years Since Fire - Intermediate == 0    -0.12964    0.08656  -1.498    0.426
## Not Yet Burned - Intermediate == 0        -0.10027    0.05929  -1.691    0.317
## Not Yet Burned - 3 Years Since Fire == 0   0.02936    0.09863   0.298    0.990
## (Adjusted p values reported -- single-step method)
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = log(P_ppm + 1) ~ ESD + (1 | Location/Year), data = SoilJuly181920, 
##     REML = FALSE)
## 
## Linear Hypotheses:
##                              Estimate Std. Error z value Pr(>|z|)    
## Loamy - Clayey == 0          -0.10584    0.08956  -1.182    0.630    
## Saline Lowland - Clayey == 0 -0.02947    0.06901  -0.427    0.973    
## Sandy - Clayey == 0          -0.46569    0.06408  -7.267   <1e-04 ***
## Saline Lowland - Loamy == 0   0.07637    0.09034   0.845    0.828    
## Sandy - Loamy == 0           -0.35985    0.08076  -4.456   <1e-04 ***
## Sandy - Saline Lowland == 0  -0.43623    0.05579  -7.820   <1e-04 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)

K

cowplot::plot_grid( K_ppmplot1,K_ppmplot2, K_ppmplot3, nrow = 3, labels=c("A","B","C") )

## 
## Model selection based on AICc:
## 
##        K   AICc Delta_AICc AICcWt Cum.Wt     LL
## KTE   10 135.74       0.00   0.98   0.98 -57.46
## KE     7 143.49       7.75   0.02   1.00 -64.54
## KInt  19 152.24      16.50   0.00   1.00 -55.67
## KT     7 197.07      61.33   0.00   1.00 -91.33
## KNull  4 203.07      67.33   0.00   1.00 -97.46
## KG     5 203.58      67.85   0.00   1.00 -96.68
## Data: SoilJuly181920
## Models:
## KE: log(K_ppm + 1) ~ ESD + (1 | Location/Year)
## KTE: log(K_ppm + 1) ~ TSF + ESD + (1 | Location/Year)
## KInt: log(K_ppm + 1) ~ TSF * ESD + (1 | Location/Year)
##      npar    AIC    BIC  logLik deviance   Chisq Df Pr(>Chisq)   
## KE      7 143.08 168.57 -64.540   129.08                         
## KTE    10 134.92 171.34 -57.462   114.92 14.1562  3     0.0027 **
## KInt   19 149.34 218.53 -55.669   111.34  3.5853  9     0.9365   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Data: SoilJuly181920
## Models:
## KNull: log(K_ppm + 1) ~ 1 + (1 | Location/Year)
## KE: log(K_ppm + 1) ~ ESD + (1 | Location/Year)
##       npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)    
## KNull    4 202.93 217.49 -97.463   194.93                         
## KE       7 143.08 168.57 -64.540   129.08 65.846  3  3.307e-14 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Data: SoilJuly181920
## Models:
## KNull: log(K_ppm + 1) ~ 1 + (1 | Location/Year)
## KT: log(K_ppm + 1) ~ TSF + (1 | Location/Year)
##       npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)   
## KNull    4 202.93 217.49 -97.463   194.93                        
## KT       7 196.66 222.15 -91.330   182.66 12.266  3   0.006526 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = log(K_ppm + 1) ~ TSF + ESD + (1 | Location/Year), 
##     data = SoilJuly181920, REML = FALSE)
## 
## Linear Hypotheses:
##                                           Estimate Std. Error z value Pr(>|z|)
## Intermediate - Recently Burned == 0       -0.01049    0.04356  -0.241  0.99485
## 3 Years Since Fire - Recently Burned == 0  0.04657    0.07178   0.649  0.91248
## Not Yet Burned - Recently Burned == 0     -0.17196    0.04997  -3.441  0.00278
## 3 Years Since Fire - Intermediate == 0     0.05707    0.06765   0.844  0.82738
## Not Yet Burned - Intermediate == 0        -0.16146    0.04616  -3.498  0.00239
## Not Yet Burned - 3 Years Since Fire == 0  -0.21853    0.07619  -2.868  0.02013
##                                             
## Intermediate - Recently Burned == 0         
## 3 Years Since Fire - Recently Burned == 0   
## Not Yet Burned - Recently Burned == 0     **
## 3 Years Since Fire - Intermediate == 0      
## Not Yet Burned - Intermediate == 0        **
## Not Yet Burned - 3 Years Since Fire == 0  * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = log(K_ppm + 1) ~ TSF + ESD + (1 | Location/Year), 
##     data = SoilJuly181920, REML = FALSE)
## 
## Linear Hypotheses:
##                               Estimate Std. Error z value Pr(>|z|)    
## Loamy - Clayey == 0           0.045077   0.068650   0.657    0.911    
## Saline Lowland - Clayey == 0  0.051672   0.052922   0.976    0.757    
## Sandy - Clayey == 0          -0.274207   0.049384  -5.553   <1e-04 ***
## Saline Lowland - Loamy == 0   0.006596   0.067583   0.098    1.000    
## Sandy - Loamy == 0           -0.319283   0.061815  -5.165   <1e-04 ***
## Sandy - Saline Lowland == 0  -0.325879   0.043011  -7.577   <1e-04 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)

Ca

cowplot::plot_grid( Ca_ppmplot1,Ca_ppmplot2, Ca_ppmplot3, nrow = 3, labels=c("A","B","C") )

## 
## Model selection based on AICc:
## 
##         K   AICc Delta_AICc AICcWt Cum.Wt      LL
## CaE     7 410.19       0.00   0.76   0.76 -197.89
## CaTE   10 412.91       2.72   0.19   0.95 -196.05
## CaNull  4 416.87       6.68   0.03   0.98 -204.36
## CaG     5 418.55       8.36   0.01   0.99 -204.17
## CaT     7 419.44       9.25   0.01   1.00 -202.51
## CaInt  19 424.48      14.30   0.00   1.00 -191.79
## Data: SoilJuly181920
## Models:
## CaE: log(Ca_ppm + 1) ~ ESD + (1 | Location/Year)
## CaTE: log(Ca_ppm + 1) ~ TSF + ESD + (1 | Location/Year)
## CaInt: log(Ca_ppm + 1) ~ TSF * ESD + (1 | Location/Year)
##       npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)
## CaE      7 409.78 435.27 -197.89   395.78                     
## CaTE    10 412.10 448.52 -196.05   392.10 3.6788  3     0.2983
## CaInt   19 421.58 490.78 -191.79   383.58 8.5166  9     0.4830
## Data: SoilJuly181920
## Models:
## CaNull: log(Ca_ppm + 1) ~ 1 + (1 | Location/Year)
## CaE: log(Ca_ppm + 1) ~ ESD + (1 | Location/Year)
##        npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)   
## CaNull    4 416.72 431.29 -204.36   408.72                        
## CaE       7 409.78 435.27 -197.89   395.78 12.946  3   0.004755 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Data: SoilJuly181920
## Models:
## CaNull: log(Ca_ppm + 1) ~ 1 + (1 | Location/Year)
## CaT: log(Ca_ppm + 1) ~ TSF + (1 | Location/Year)
##        npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)
## CaNull    4 416.72 431.29 -204.36   408.72                     
## CaT       7 419.03 444.52 -202.51   405.03 3.6936  3     0.2965
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = log(Ca_ppm + 1) ~ TSF + ESD + (1 | Location/Year), 
##     data = SoilJuly181920, REML = FALSE)
## 
## Linear Hypotheses:
##                                            Estimate Std. Error z value Pr(>|z|)
## Intermediate - Recently Burned == 0        0.007168   0.070252   0.102    1.000
## 3 Years Since Fire - Recently Burned == 0 -0.029141   0.114862  -0.254    0.994
## Not Yet Burned - Recently Burned == 0     -0.127341   0.080096  -1.590    0.373
## 3 Years Since Fire - Intermediate == 0    -0.036308   0.108305  -0.335    0.986
## Not Yet Burned - Intermediate == 0        -0.134508   0.073616  -1.827    0.251
## Not Yet Burned - 3 Years Since Fire == 0  -0.098200   0.120625  -0.814    0.842
## (Adjusted p values reported -- single-step method)
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = log(Ca_ppm + 1) ~ ESD + (1 | Location/Year), data = SoilJuly181920, 
##     REML = FALSE)
## 
## Linear Hypotheses:
##                              Estimate Std. Error z value Pr(>|z|)   
## Loamy - Clayey == 0           0.35196    0.11407   3.086  0.01055 * 
## Saline Lowland - Clayey == 0  0.22347    0.08792   2.542  0.05137 . 
## Sandy - Clayey == 0           0.25552    0.08156   3.133  0.00877 **
## Saline Lowland - Loamy == 0  -0.12849    0.11534  -1.114  0.67285   
## Sandy - Loamy == 0           -0.09644    0.10289  -0.937  0.77852   
## Sandy - Saline Lowland == 0   0.03205    0.07106   0.451  0.96830   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)

Mg

cowplot::plot_grid( Mg_ppmplot1,Mg_ppmplot2, Mg_ppmplot3, nrow = 3, labels=c("A","B","C") )

## 
## Model selection based on AICc:
## 
##         K   AICc Delta_AICc AICcWt Cum.Wt      LL
## MgE     7 221.40       0.00   0.74   0.74 -103.50
## MgTE   10 223.85       2.45   0.22   0.96 -101.52
## MgInt  19 227.41       6.01   0.04   0.99  -93.25
## MgNull  4 232.14      10.74   0.00   1.00 -112.00
## MgG     5 234.21      12.81   0.00   1.00 -112.00
## MgT     7 234.23      12.83   0.00   1.00 -109.91
## Data: SoilJuly181920
## Models:
## MgE: log(Mg_ppm + 1) ~ ESD + (1 | Location/Year)
## MgTE: log(Mg_ppm + 1) ~ TSF + ESD + (1 | Location/Year)
## MgInt: log(Mg_ppm + 1) ~ TSF * ESD + (1 | Location/Year)
##       npar    AIC    BIC   logLik deviance   Chisq Df Pr(>Chisq)  
## MgE      7 220.99 246.48 -103.495   206.99                        
## MgTE    10 223.04 259.46 -101.519   203.04  3.9524  3    0.26665  
## MgInt   19 224.51 293.70  -93.253   186.51 16.5315  9    0.05658 .
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Data: SoilJuly181920
## Models:
## MgNull: log(Mg_ppm + 1) ~ 1 + (1 | Location/Year)
## MgE: log(Mg_ppm + 1) ~ ESD + (1 | Location/Year)
##        npar    AIC    BIC logLik deviance  Chisq Df Pr(>Chisq)    
## MgNull    4 232.00 246.56 -112.0   224.00                         
## MgE       7 220.99 246.48 -103.5   206.99 17.006  3  0.0007048 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Data: SoilJuly181920
## Models:
## MgNull: log(Mg_ppm + 1) ~ 1 + (1 | Location/Year)
## MgT: log(Mg_ppm + 1) ~ TSF + (1 | Location/Year)
##        npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)
## MgNull    4 232.00 246.56 -112.00   224.00                     
## MgT       7 233.82 259.31 -109.91   219.82 4.1801  3     0.2427
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = log(Mg_ppm + 1) ~ TSF + ESD + (1 | Location/Year), 
##     data = SoilJuly181920, REML = FALSE)
## 
## Linear Hypotheses:
##                                           Estimate Std. Error z value Pr(>|z|)
## Intermediate - Recently Burned == 0        0.02488    0.05038   0.494    0.959
## 3 Years Since Fire - Recently Burned == 0 -0.03942    0.08334  -0.473    0.963
## Not Yet Burned - Recently Burned == 0     -0.07686    0.05795  -1.326    0.534
## 3 Years Since Fire - Intermediate == 0    -0.06429    0.07852  -0.819    0.840
## Not Yet Burned - Intermediate == 0        -0.10174    0.05366  -1.896    0.220
## Not Yet Burned - 3 Years Since Fire == 0  -0.03745    0.08886  -0.421    0.974
## (Adjusted p values reported -- single-step method)
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = log(Mg_ppm + 1) ~ ESD + (1 | Location/Year), data = SoilJuly181920, 
##     REML = FALSE)
## 
## Linear Hypotheses:
##                               Estimate Std. Error z value Pr(>|z|)    
## Loamy - Clayey == 0          -0.006025   0.080743  -0.075    1.000    
## Saline Lowland - Clayey == 0  0.083349   0.062134   1.341    0.528    
## Sandy - Clayey == 0          -0.122521   0.057901  -2.116    0.143    
## Saline Lowland - Loamy == 0   0.089374   0.080785   1.106    0.678    
## Sandy - Loamy == 0           -0.116496   0.072763  -1.601    0.369    
## Sandy - Saline Lowland == 0  -0.205870   0.050292  -4.093   <0.001 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)

Litter Bags

cowplot::plot_grid( Decompplot1,Decompplot2, Decompplot3, nrow = 3, labels=c("A","B","C") )

## 
## Model selection based on AICc:
## 
##          K    AICc Delta_AICc AICcWt Cum.Wt      LL
## DecTE    9 1937.50       0.00   0.85   0.85 -959.36
## DecT     6 1941.34       3.83   0.12   0.97 -964.49
## DecInt  17 1945.05       7.55   0.02   0.99 -954.14
## DecE     6 1947.04       9.54   0.01   1.00 -967.34
## DecNull  3 1950.81      13.31   0.00   1.00 -972.35
## DecG     4 1952.72      15.22   0.00   1.00 -972.28
## Data: LitBag
## Models:
## DecE: Decomp ~ ESD + (1 | Year)
## DecTE: Decomp ~ TSF + ESD + (1 | Year)
## DecInt: Decomp ~ TSF * ESD + (1 | Year)
##        npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)   
## DecE      6 1946.7 1967.6 -967.34   1934.7                        
## DecTE     9 1936.7 1968.0 -959.36   1918.7 15.959  3   0.001156 **
## DecInt   17 1942.3 2001.5 -954.14   1908.3 10.429  8   0.236206   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Data: LitBag
## Models:
## DecNull: Decomp ~ 1 + (1 | Year)
## DecE: Decomp ~ ESD + (1 | Year)
##         npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)  
## DecNull    3 1950.7 1961.2 -972.35   1944.7                       
## DecE       6 1946.7 1967.6 -967.34   1934.7 10.031  3     0.0183 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Data: LitBag
## Models:
## DecNull: Decomp ~ 1 + (1 | Year)
## DecT: Decomp ~ TSF + (1 | Year)
##         npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)   
## DecNull    3 1950.7 1961.2 -972.35   1944.7                        
## DecT       6 1941.0 1961.9 -964.49   1929.0 15.733  3   0.001286 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = Decomp ~ TSF + (1 | Year), data = LitBag, REML = FALSE)
## 
## Linear Hypotheses:
##                                           Estimate Std. Error z value Pr(>|z|)
## Intermediate - Recently Burned == 0          6.253      2.071   3.019   0.0125
## 3 Years Since Fire - Recently Burned == 0    2.525      3.122   0.809   0.8438
## Not Yet Burned - Recently Burned == 0       -2.877      2.972  -0.968   0.7585
## 3 Years Since Fire - Intermediate == 0      -3.727      3.039  -1.226   0.5978
## Not Yet Burned - Intermediate == 0          -9.130      2.722  -3.354   0.0041
## Not Yet Burned - 3 Years Since Fire == 0    -5.403      3.887  -1.390   0.4927
##                                             
## Intermediate - Recently Burned == 0       * 
## 3 Years Since Fire - Recently Burned == 0   
## Not Yet Burned - Recently Burned == 0       
## 3 Years Since Fire - Intermediate == 0      
## Not Yet Burned - Intermediate == 0        **
## Not Yet Burned - 3 Years Since Fire == 0    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = Decomp ~ TSF + ESD + (1 | Year), data = LitBag, 
##     REML = FALSE)
## 
## Linear Hypotheses:
##                              Estimate Std. Error z value Pr(>|z|)  
## Loamy - Clayey == 0            8.6745     3.1846   2.724   0.0319 *
## Saline Lowland - Clayey == 0   3.3459     2.7326   1.224   0.6057  
## Sandy - Clayey == 0            0.7216     2.5629   0.282   0.9920  
## Saline Lowland - Loamy == 0   -5.3286     2.7889  -1.911   0.2189  
## Sandy - Loamy == 0            -7.9528     2.6635  -2.986   0.0145 *
## Sandy - Saline Lowland == 0   -2.6242     2.0605  -1.274   0.5741  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)

pH & EC

pH 2020

print(aictab(cand.set = pH.mods, modnames = pH.mod.names))
## 
## Model selection based on AICc:
## 
##         K   AICc Delta_AICc AICcWt Cum.Wt      LL
## pHInt  15 642.02       0.00      1      1 -305.34
## pHTE    9 653.84      11.82      0      1 -317.67
## pHT     6 666.92      24.90      0      1 -327.35
## pHE     7 670.92      28.90      0      1 -328.31
## pHNull  4 684.95      42.93      0      1 -338.42
## pHG     5 686.97      44.96      0      1 -338.41
anova(pHE, pHTE, pHInt)
## Data: Soil20
## Models:
## pHE: pH ~ ESD + (1 | Location/Month)
## pHTE: pH ~ TSF + ESD + (1 | Location/Month)
## pHInt: pH ~ TSF * ESD + (1 | Location/Month)
##       npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)    
## pHE      7 670.61 698.12 -328.31   656.61                         
## pHTE     9 653.35 688.71 -317.67   635.35 21.266  2  2.411e-05 ***
## pHInt   15 640.69 699.63 -305.34   610.69 24.660  6  0.0003946 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
anova(pHE, pHNull)
## Data: Soil20
## Models:
## pHNull: pH ~ 1 + (1 | Location/Month)
## pHE: pH ~ ESD + (1 | Location/Month)
##        npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)    
## pHNull    4 684.85 700.56 -338.42   676.85                         
## pHE       7 670.61 698.12 -328.31   656.61 20.234  3  0.0001518 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
anova(pHT, pHNull)
## Data: Soil20
## Models:
## pHNull: pH ~ 1 + (1 | Location/Month)
## pHT: pH ~ TSF + (1 | Location/Month)
##        npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)    
## pHNull    4 684.85 700.56 -338.42   676.85                         
## pHT       6 666.69 690.27 -327.35   654.69 22.154  2  1.547e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(Mult_pHT) #additive model
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = pH ~ TSF + ESD + (1 | Location/Month), data = Soil20, 
##     REML = FALSE)
## 
## Linear Hypotheses:
##                                           Estimate Std. Error z value Pr(>|z|)
## Intermediate - Recently Burned == 0        0.32038    0.07008   4.572  < 0.001
## 3 Years Since Fire - Recently Burned == 0  0.27315    0.08063   3.388  0.00205
## 3 Years Since Fire - Intermediate == 0    -0.04723    0.07126  -0.663  0.78414
##                                              
## Intermediate - Recently Burned == 0       ***
## 3 Years Since Fire - Recently Burned == 0 ** 
## 3 Years Since Fire - Intermediate == 0       
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)
summary(Mult_pHE) #additive
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = pH ~ TSF + ESD + (1 | Location/Month), data = Soil20, 
##     REML = FALSE)
## 
## Linear Hypotheses:
##                              Estimate Std. Error z value Pr(>|z|)   
## Loamy - Clayey == 0           0.42043    0.11735   3.583  0.00171 **
## Saline Lowland - Clayey == 0  0.34239    0.09162   3.737  0.00104 **
## Sandy - Clayey == 0           0.29319    0.08365   3.505  0.00254 **
## Saline Lowland - Loamy == 0  -0.07804    0.11807  -0.661  0.90887   
## Sandy - Loamy == 0           -0.12724    0.10571  -1.204  0.61621   
## Sandy - Saline Lowland == 0  -0.04921    0.07421  -0.663  0.90810   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)

EC 2020

## 
## Model selection based on AICc:
## 
##         K   AICc Delta_AICc AICcWt Cum.Wt      LL
## ECTE    9 815.92       0.00   0.67   0.67 -398.71
## ECInt  15 817.37       1.45   0.32   1.00 -393.02
## ECE     7 826.58      10.66   0.00   1.00 -406.14
## ECT     6 828.80      12.88   0.00   1.00 -408.29
## ECNull  4 843.32      27.40   0.00   1.00 -417.61
## ECG     5 845.36      29.44   0.00   1.00 -417.60
## Data: Soil20
## Models:
## ECE: log(EC + 1) ~ ESD + (1 | Location/Month)
## ECTE: log(EC + 1) ~ TSF + ESD + (1 | Location/Month)
## ECInt: log(EC + 1) ~ TSF * ESD + (1 | Location/Month)
##       npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)    
## ECE      7 826.28 853.78 -406.14   812.28                         
## ECTE     9 815.43 850.80 -398.71   797.43 14.847  2  0.0005969 ***
## ECInt   15 816.04 874.98 -393.02   786.04 11.392  6  0.0769866 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Data: Soil20
## Models:
## ECNull: log(EC + 1) ~ 1 + (1 | Location/Month)
## ECE: log(EC + 1) ~ ESD + (1 | Location/Month)
##        npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)    
## ECNull    4 843.21 858.93 -417.61   835.21                         
## ECE       7 826.28 853.78 -406.14   812.28 22.933  3   4.17e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Data: Soil20
## Models:
## ECNull: log(EC + 1) ~ 1 + (1 | Location/Month)
## ECT: log(EC + 1) ~ TSF + (1 | Location/Month)
##        npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)    
## ECNull    4 843.21 858.93 -417.61   835.21                         
## ECT       6 828.57 852.15 -408.29   816.57 18.639  2  8.966e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = log(EC + 1) ~ TSF + ESD + (1 | Location/Month), 
##     data = Soil20, REML = FALSE)
## 
## Linear Hypotheses:
##                                           Estimate Std. Error z value Pr(>|z|)
## Intermediate - Recently Burned == 0        0.33623    0.08735   3.849  0.00034
## 3 Years Since Fire - Recently Burned == 0  0.16909    0.10051   1.682  0.21077
## 3 Years Since Fire - Intermediate == 0    -0.16714    0.08879  -1.882  0.14288
##                                              
## Intermediate - Recently Burned == 0       ***
## 3 Years Since Fire - Recently Burned == 0    
## 3 Years Since Fire - Intermediate == 0       
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: lmer(formula = log(EC + 1) ~ TSF + ESD + (1 | Location/Month), 
##     data = Soil20, REML = FALSE)
## 
## Linear Hypotheses:
##                              Estimate Std. Error z value Pr(>|z|)   
## Loamy - Clayey == 0           0.34241    0.14542   2.355  0.08275 . 
## Saline Lowland - Clayey == 0  0.40187    0.11333   3.546  0.00220 **
## Sandy - Clayey == 0           0.07856    0.10385   0.756  0.87023   
## Saline Lowland - Loamy == 0   0.05946    0.14511   0.410  0.97599   
## Sandy - Loamy == 0           -0.26386    0.13092  -2.015  0.17623   
## Sandy - Saline Lowland == 0  -0.32332    0.09192  -3.517  0.00245 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)

Microbes

Total Abundance

cowplot::plot_grid( Total_Biomassplot1,Total_Biomassplot2, Total_Biomassplot3, nrow = 3, labels=c("A","B","C") )

## 
## Model selection based on AICc:
## 
##          K    AICc Delta_AICc AICcWt Cum.Wt      LL
## BioTE   10 1867.03       0.00   0.63   0.63 -922.89
## BioE     7 1868.17       1.13   0.36   0.98 -926.77
## BioInt  19 1874.34       7.31   0.02   1.00 -915.91
## BioT     7 1888.08      21.05   0.00   1.00 -936.73
## BioNull  4 1890.83      23.80   0.00   1.00 -941.31
## BioG     5 1892.91      25.88   0.00   1.00 -941.29
## Data: SoilM
## Models:
## BioE: Total_Biomass + 0.001 ~ ESD + (1 | Location/Year)
## BioTE: Total_Biomass + 0.001 ~ TSF + ESD + (1 | Location/Year)
## BioInt: Total_Biomass + 0.001 ~ TSF * ESD + (1 | Location/Year)
##        npar    AIC    BIC  logLik deviance   Chisq Df Pr(>Chisq)  
## BioE      7 1867.5 1890.2 -926.77   1853.5                        
## BioTE    10 1865.8 1898.2 -922.89   1845.8  7.7544  3    0.05137 .
## BioInt   19 1869.8 1931.3 -915.91   1831.8 13.9689  9    0.12344  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Data: SoilM
## Models:
## BioNull: Total_Biomass + 0.001 ~ 1 + (1 | Location/Year)
## BioE: Total_Biomass + 0.001 ~ ESD + (1 | Location/Year)
##         npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)    
## BioNull    4 1890.6 1903.6 -941.31   1882.6                         
## BioE       7 1867.5 1890.2 -926.77   1853.5 29.068  3  2.167e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Data: SoilM
## Models:
## BioNull: Total_Biomass + 0.001 ~ 1 + (1 | Location/Year)
## BioT: Total_Biomass + 0.001 ~ TSF + (1 | Location/Year)
##         npar    AIC    BIC  logLik deviance Chisq Df Pr(>Chisq)  
## BioNull    4 1890.6 1903.6 -941.31   1882.6                      
## BioT       7 1887.5 1910.1 -936.73   1873.5 9.149  3    0.02737 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: glmer(formula = Total_Biomass + 0.001 ~ TSF + ESD + (1 | Location/Year), 
##     data = SoilM, family = Gamma)
## 
## Linear Hypotheses:
##                                             Estimate Std. Error z value
## Intermediate - Recently Burned == 0       -3.057e-04  3.278e-04  -0.933
## 3 Years Since Fire - Recently Burned == 0  4.927e-05  4.519e-04   0.109
## Not Yet Burned - Recently Burned == 0      1.362e-03  6.649e-04   2.049
## 3 Years Since Fire - Intermediate == 0     3.550e-04  4.067e-04   0.873
## Not Yet Burned - Intermediate == 0         1.668e-03  6.375e-04   2.617
## Not Yet Burned - 3 Years Since Fire == 0   1.313e-03  7.415e-04   1.771
##                                           Pr(>|z|)  
## Intermediate - Recently Burned == 0         0.7745  
## 3 Years Since Fire - Recently Burned == 0   0.9995  
## Not Yet Burned - Recently Burned == 0       0.1578  
## 3 Years Since Fire - Intermediate == 0      0.8075  
## Not Yet Burned - Intermediate == 0          0.0399 *
## Not Yet Burned - 3 Years Since Fire == 0    0.2703  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Multiple Comparisons of Means: Tukey Contrasts
## 
## 
## Fit: glmer(formula = Total_Biomass + 0.001 ~ TSF + ESD + (1 | Location/Year), 
##     data = SoilM, family = Gamma)
## 
## Linear Hypotheses:
##                                Estimate Std. Error z value Pr(>|z|)    
## Loamy - Clayey == 0          -0.0002728  0.0005079  -0.537   0.9490    
## Saline Lowland - Clayey == 0 -0.0010025  0.0004197  -2.388   0.0775 .  
## Sandy - Clayey == 0           0.0009116  0.0004063   2.243   0.1094    
## Saline Lowland - Loamy == 0  -0.0007297  0.0005143  -1.419   0.4822    
## Sandy - Loamy == 0            0.0011844  0.0004618   2.564   0.0495 *  
## Sandy - Saline Lowland == 0   0.0019141  0.0003651   5.243   <0.001 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)

TSF Comp %

Ordi Setup

## 
## Call:
## metaMDS(comm = MicBiomass1920_2, distance = "euclidean", k = 3,      trymax = 50) 
## 
## global Multidimensional Scaling using monoMDS
## 
## Data:     wisconsin(sqrt(MicBiomass1920_2)) 
## Distance: euclidean 
## 
## Dimensions: 3 
## Stress:     0.03597419 
## Stress type 1, weak ties
## Two convergent solutions found after 20 tries
## Scaling: centring, PC rotation 
## Species: expanded scores based on 'wisconsin(sqrt(MicBiomass1920_2))'
##                       importance.MDS1 importance.MDS2 importance.MDS3
## Eigenvalue                       0.19            0.11            0.04
## Proportion Explained             0.51            0.29            0.11
## Cumulative Proportion            0.51            0.81            0.92
##                       importance.MDS4 importance.MDS5
## Eigenvalue                       0.02            0.01
## Proportion Explained             0.06            0.02
## Cumulative Proportion            0.98            1.00
## 
## ***VECTORS
## 
##                    MDS1     MDS2     MDS3     r2 Pr(>r)   
## NH4_ppm        -0.89188 -0.07672  0.44571 0.0149  0.826   
## NO3_ppm        -0.79825 -0.54047  0.26589 0.0543  0.054 . 
## Moisture       -0.62822 -0.11260 -0.76985 0.0571  0.012 * 
## P_ppm          -0.60529 -0.79437 -0.05093 0.0562  0.032 * 
## K_ppm           0.36828 -0.58320 -0.72405 0.0739  0.016 * 
## Ca_ppm         -0.60721  0.50630 -0.61234 0.1495  0.002 **
## Mg_ppm         -0.68564  0.72674  0.04177 0.0353  0.092 . 
## TotalN_percent -0.27291 -0.73625 -0.61924 0.0300  0.436   
## TotalC_percent -0.62612 -0.30759 -0.71650 0.0773  0.004 **
## TCNR           -0.78968  0.18822 -0.58393 0.1292  0.002 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Blocks:  strata 
## Permutation: free
## Number of permutations: 499
## 
## ***FACTORS:
## 
## Centroids:
##                          MDS1    MDS2    MDS3
## ESDClayey              0.0383  0.0138  0.0127
## ESDLoamy               0.0449  0.0216 -0.1065
## ESDSaline Lowland     -0.0657 -0.0430  0.0474
## ESDSandy               0.0204  0.0204 -0.0132
## TSFRecently Burned    -0.0311 -0.0142  0.0122
## TSFIntermediate       -0.0261 -0.0243 -0.0311
## TSF3 Years Since Fire  0.2042  0.0370 -0.0112
## TSFNot Yet Burned     -0.0334  0.0861  0.1054
## TreatmentCattle       -0.0208  0.0231 -0.0278
## TreatmentSheep         0.0219 -0.0243  0.0293
## 
## Goodness of fit:
##               r2 Pr(>r)   
## ESD       0.0364  0.026 * 
## TSF       0.0705  0.006 **
## Treatment 0.0139  1.000   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Blocks:  strata 
## Permutation: free
## Number of permutations: 499
## 
##  Pairwise comparisons using factor fitting to an ordination 
## 
## data:  Mic.cape2 by MicEnv1920_3$TSF
## 999 permutations 
## 
##                    Recently Burned Intermediate 3 Years Since Fire
## Intermediate       0.950           -            -                 
## 3 Years Since Fire 0.003           0.003        -                 
## Not Yet Burned     0.077           0.077        0.008             
## 
## P value adjustment method: fdr
## 
##  Pairwise comparisons using factor fitting to an ordination 
## 
## data:  Mic.cape2 by MicEnv1920_3$ESD
## 999 permutations 
## 
##                Clayey Loamy Saline Lowland
## Loamy          0.975  -     -             
## Saline Lowland 0.069  0.134 -             
## Sandy          0.975  0.975 0.069         
## 
## P value adjustment method: fdr

Ordi Patches

## 
## Call:
## metaMDS(comm = MicBiomassPatches, distance = "euclidean", k = 3,      trymax = 50) 
## 
## global Multidimensional Scaling using monoMDS
## 
## Data:     wisconsin(sqrt(MicBiomassPatches)) 
## Distance: euclidean 
## 
## Dimensions: 3 
## Stress:     0.03007112 
## Stress type 1, weak ties
## Two convergent solutions found after 20 tries
## Scaling: centring, PC rotation 
## Species: expanded scores based on 'wisconsin(sqrt(MicBiomassPatches))'
##                       importance.MDS1 importance.MDS2 importance.MDS3
## Eigenvalue                       0.07            0.05            0.02
## Proportion Explained             0.47            0.34            0.13
## Cumulative Proportion            0.47            0.81            0.94
##                       importance.MDS4 importance.MDS5
## Eigenvalue                       0.01            0.00
## Proportion Explained             0.04            0.02
## Cumulative Proportion            0.98            1.00
## 
## ***VECTORS
## 
##                    MDS1     MDS2     MDS3     r2 Pr(>r)   
## NH4_ppm        -0.95464 -0.03853 -0.29525 0.0498  0.480   
## NO3_ppm        -0.78352 -0.61354  0.09830 0.1293  0.012 * 
## Moisture       -0.80715 -0.14347  0.57265 0.0797  0.022 * 
## P_ppm          -0.50055 -0.83128  0.24171 0.0467  0.300   
## K_ppm           0.38507 -0.77470  0.50156 0.0649  0.270   
## Ca_ppm         -0.64769  0.53494  0.54253 0.2132  0.002 **
## Mg_ppm         -0.93318  0.35743 -0.03762 0.0230  0.336   
## TotalN_percent  0.05687 -0.94496  0.32220 0.0385  0.552   
## TotalC_percent -0.49572 -0.67075  0.55168 0.0641  0.046 * 
## TCNR           -0.85835  0.13420  0.49520 0.1723  0.012 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Blocks:  strata 
## Permutation: free
## Number of permutations: 499
## 
## ***FACTORS:
## 
## Centroids:
##                          MDS1    MDS2    MDS3
## ESDClayey              0.0334  0.0189 -0.0231
## ESDLoamy               0.0414  0.0450  0.0692
## ESDSaline Lowland     -0.0739 -0.0661 -0.0345
## ESDSandy               0.0264  0.0265  0.0172
## TSFRecently Burned    -0.0352 -0.0053 -0.0061
## TSFIntermediate       -0.0198 -0.0116  0.0623
## TSF3 Years Since Fire  0.1953 -0.0100 -0.0989
## TSFNot Yet Burned     -0.0457  0.0672 -0.1382
## TreatmentCattle       -0.0256  0.0346  0.0201
## TreatmentSheep         0.0279 -0.0376 -0.0218
## 
## Goodness of fit:
##               r2 Pr(>r)  
## ESD       0.0434  0.176  
## TSF       0.0984  0.012 *
## Treatment 0.0205  1.000  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Blocks:  strata 
## Permutation: free
## Number of permutations: 499