#Nutritive Values

##Biomass

TSF and interaction significant

Overall TSF: RB < others, 3yr > intermediate and NYB

Interaction: Cattle: RB < others; Sheep: RB < others, Intermediate & 3yr > NYB

## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: log(KgHa + 1)
##                 Chisq Df Pr(>Chisq)    
## TSF           414.132  3  < 2.2e-16 ***
## Treatment       0.932  1     0.3344    
## TSF:Treatment  52.976  3  1.855e-11 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## boundary (singular) fit: see help('isSingular')
## NOTE: Results may be misleading due to involvement in interactions
## $emmeans
##  TSF                emmean     SE   df lower.CL upper.CL
##  Recently Burned      7.51 0.0736 11.9     7.35     7.67
##  Intermediate         8.11 0.0730 11.4     7.95     8.27
##  3 Years Since Fire   8.27 0.0875 30.2     8.09     8.45
##  Not Yet Burned       8.03 0.0734 11.8     7.87     8.19
## 
## Results are averaged over the levels of: Treatment 
## Degrees-of-freedom method: kenward-roger 
## Results are given on the log(mu + 1) (not the response) scale. 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                             estimate     SE   df t.ratio p.value
##  Recently Burned - Intermediate        -0.6004 0.0348 1944 -17.253  <.0001
##  Recently Burned - 3 Years Since Fire  -0.7608 0.0594 1975 -12.819  <.0001
##  Recently Burned - Not Yet Burned      -0.5271 0.0359 1974 -14.685  <.0001
##  Intermediate - 3 Years Since Fire     -0.1604 0.0565 1961  -2.840  0.0236
##  Intermediate - Not Yet Burned          0.0733 0.0374 1928   1.961  0.2032
##  3 Years Since Fire - Not Yet Burned    0.2337 0.0633 1935   3.694  0.0013
## 
## Results are averaged over the levels of: Treatment 
## Note: contrasts are still on the log(mu + 1) scale 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 4 estimates
## boundary (singular) fit: see help('isSingular')
## NOTE: Results may be misleading due to involvement in interactions
## $emmeans
##  TSF                emmean     SE   df lower.CL upper.CL
##  Recently Burned      7.51 0.0736 11.9     7.35     7.67
##  Intermediate         8.11 0.0730 11.4     7.95     8.27
##  3 Years Since Fire   8.27 0.0875 30.2     8.09     8.45
##  Not Yet Burned       8.03 0.0734 11.8     7.87     8.19
## 
## Results are averaged over the levels of: Treatment 
## Degrees-of-freedom method: kenward-roger 
## Results are given on the log(mu + 1) (not the response) scale. 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                             estimate     SE   df lower.CL upper.CL
##  Recently Burned - Intermediate        -0.6004 0.0348 1944  -0.6899  -0.5110
##  Recently Burned - 3 Years Since Fire  -0.7608 0.0594 1975  -0.9134  -0.6082
##  Recently Burned - Not Yet Burned      -0.5271 0.0359 1974  -0.6194  -0.4348
##  Intermediate - 3 Years Since Fire     -0.1604 0.0565 1961  -0.3056  -0.0152
##  Intermediate - Not Yet Burned          0.0733 0.0374 1928  -0.0228   0.1695
##  3 Years Since Fire - Not Yet Burned    0.2337 0.0633 1935   0.0710   0.3964
## 
## Results are averaged over the levels of: Treatment 
## Note: contrasts are still on the log(mu + 1) scale 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## Conf-level adjustment: tukey method for comparing a family of 4 estimates
## boundary (singular) fit: see help('isSingular')
## $emmeans
## Treatment = Cattle:
##  TSF                emmean    SE   df lower.CL upper.CL
##  Recently Burned      7.67 0.104 12.1     7.45     7.90
##  Intermediate         8.05 0.104 11.5     7.82     8.28
##  3 Years Since Fire   8.14 0.126 32.6     7.88     8.40
##  Not Yet Burned       8.15 0.104 11.8     7.92     8.38
## 
## Treatment = Sheep:
##  TSF                emmean    SE   df lower.CL upper.CL
##  Recently Burned      7.34 0.104 11.9     7.11     7.56
##  Intermediate         8.16 0.103 11.3     7.94     8.39
##  3 Years Since Fire   8.40 0.121 27.8     8.15     8.64
##  Not Yet Burned       7.91 0.104 11.8     7.69     8.14
## 
## Degrees-of-freedom method: kenward-roger 
## Results are given on the log(mu + 1) (not the response) scale. 
## Confidence level used: 0.95 
## 
## $contrasts
## Treatment = Cattle:
##  contrast                             estimate     SE   df t.ratio p.value
##  Recently Burned - Intermediate        -0.3749 0.0496 1947  -7.552  <.0001
##  Recently Burned - 3 Years Since Fire  -0.4644 0.0872 1973  -5.328  <.0001
##  Recently Burned - Not Yet Burned      -0.4776 0.0505 1969  -9.463  <.0001
##  Intermediate - 3 Years Since Fire     -0.0895 0.0829 1962  -1.079  0.7024
##  Intermediate - Not Yet Burned         -0.1027 0.0528 1931  -1.946  0.2093
##  3 Years Since Fire - Not Yet Burned   -0.0133 0.0922 1934  -0.144  0.9989
## 
## Treatment = Sheep:
##  contrast                             estimate     SE   df t.ratio p.value
##  Recently Burned - Intermediate        -0.8260 0.0488 1941 -16.931  <.0001
##  Recently Burned - 3 Years Since Fire  -1.0573 0.0806 1975 -13.121  <.0001
##  Recently Burned - Not Yet Burned      -0.5766 0.0510 1977 -11.295  <.0001
##  Intermediate - 3 Years Since Fire     -0.2313 0.0767 1959  -3.017  0.0138
##  Intermediate - Not Yet Burned          0.2494 0.0530 1924   4.709  <.0001
##  3 Years Since Fire - Not Yet Burned    0.4807 0.0867 1935   5.546  <.0001
## 
## Note: contrasts are still on the log(mu + 1) scale 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 4 estimates
## boundary (singular) fit: see help('isSingular')
## $emmeans
## Treatment = Cattle:
##  TSF                emmean    SE   df lower.CL upper.CL
##  Recently Burned      7.67 0.104 12.1     7.45     7.90
##  Intermediate         8.05 0.104 11.5     7.82     8.28
##  3 Years Since Fire   8.14 0.126 32.6     7.88     8.40
##  Not Yet Burned       8.15 0.104 11.8     7.92     8.38
## 
## Treatment = Sheep:
##  TSF                emmean    SE   df lower.CL upper.CL
##  Recently Burned      7.34 0.104 11.9     7.11     7.56
##  Intermediate         8.16 0.103 11.3     7.94     8.39
##  3 Years Since Fire   8.40 0.121 27.8     8.15     8.64
##  Not Yet Burned       7.91 0.104 11.8     7.69     8.14
## 
## Degrees-of-freedom method: kenward-roger 
## Results are given on the log(mu + 1) (not the response) scale. 
## Confidence level used: 0.95 
## 
## $contrasts
## Treatment = Cattle:
##  contrast                             estimate     SE   df lower.CL upper.CL
##  Recently Burned - Intermediate        -0.3749 0.0496 1947   -0.503  -0.2473
##  Recently Burned - 3 Years Since Fire  -0.4644 0.0872 1973   -0.689  -0.2403
##  Recently Burned - Not Yet Burned      -0.4776 0.0505 1969   -0.607  -0.3479
##  Intermediate - 3 Years Since Fire     -0.0895 0.0829 1962   -0.303   0.1237
##  Intermediate - Not Yet Burned         -0.1027 0.0528 1931   -0.238   0.0330
##  3 Years Since Fire - Not Yet Burned   -0.0133 0.0922 1934   -0.250   0.2238
## 
## Treatment = Sheep:
##  contrast                             estimate     SE   df lower.CL upper.CL
##  Recently Burned - Intermediate        -0.8260 0.0488 1941   -0.951  -0.7005
##  Recently Burned - 3 Years Since Fire  -1.0573 0.0806 1975   -1.264  -0.8501
##  Recently Burned - Not Yet Burned      -0.5766 0.0510 1977   -0.708  -0.4453
##  Intermediate - 3 Years Since Fire     -0.2313 0.0767 1959   -0.428  -0.0341
##  Intermediate - Not Yet Burned          0.2494 0.0530 1924    0.113   0.3855
##  3 Years Since Fire - Not Yet Burned    0.4807 0.0867 1935    0.258   0.7035
## 
## Note: contrasts are still on the log(mu + 1) scale 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## Conf-level adjustment: tukey method for comparing a family of 4 estimates

##ADF

Only TSF

Overall TSF: 3yr & intermediate > NYB > RB

## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: ADF
##                  Chisq Df Pr(>Chisq)    
## TSF           388.6719  3     <2e-16 ***
## Treatment       1.6678  1     0.1965    
## TSF:Treatment   4.2453  3     0.2362    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## boundary (singular) fit: see help('isSingular')
## NOTE: Results may be misleading due to involvement in interactions
## $emmeans
##  TSF                emmean    SE    df lower.CL upper.CL
##  Recently Burned      33.2 0.304  5.92     32.5     34.0
##  Intermediate         35.8 0.301  5.67     35.1     36.6
##  3 Years Since Fire   36.4 0.363 12.59     35.6     37.2
##  Not Yet Burned       35.2 0.304  5.91     34.5     35.9
## 
## Results are averaged over the levels of: Treatment 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                             estimate    SE   df t.ratio p.value
##  Recently Burned - Intermediate         -2.625 0.148 1946 -17.722  <.0001
##  Recently Burned - 3 Years Since Fire   -3.191 0.252 1974 -12.646  <.0001
##  Recently Burned - Not Yet Burned       -1.978 0.153 1973 -12.959  <.0001
##  Intermediate - 3 Years Since Fire      -0.567 0.240 1964  -2.359  0.0855
##  Intermediate - Not Yet Burned           0.646 0.159 1896   4.071  0.0003
##  3 Years Since Fire - Not Yet Burned     1.213 0.269 1910   4.515  <.0001
## 
## Results are averaged over the levels of: Treatment 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 4 estimates
## boundary (singular) fit: see help('isSingular')
## NOTE: Results may be misleading due to involvement in interactions
## $emmeans
##  TSF                emmean    SE    df lower.CL upper.CL
##  Recently Burned      33.2 0.304  5.92     32.5     34.0
##  Intermediate         35.8 0.301  5.67     35.1     36.6
##  3 Years Since Fire   36.4 0.363 12.59     35.6     37.2
##  Not Yet Burned       35.2 0.304  5.91     34.5     35.9
## 
## Results are averaged over the levels of: Treatment 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                             estimate    SE   df lower.CL upper.CL
##  Recently Burned - Intermediate         -2.625 0.148 1946   -3.005   -2.244
##  Recently Burned - 3 Years Since Fire   -3.191 0.252 1974   -3.840   -2.542
##  Recently Burned - Not Yet Burned       -1.978 0.153 1973   -2.371   -1.586
##  Intermediate - 3 Years Since Fire      -0.567 0.240 1964   -1.184    0.051
##  Intermediate - Not Yet Burned           0.646 0.159 1896    0.238    1.054
##  3 Years Since Fire - Not Yet Burned     1.213 0.269 1910    0.522    1.904
## 
## Results are averaged over the levels of: Treatment 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## Conf-level adjustment: tukey method for comparing a family of 4 estimates

##NDF

TSF and Grazer significant, Interaction almost

Overall TSF: 3yr & intermediate > NYB > RB Overall Grazer: no difference (cattle almost lower)

## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: NDF
##                  Chisq Df Pr(>Chisq)    
## TSF           244.1510  3  < 2.2e-16 ***
## Treatment       7.6097  1   0.005806 ** 
## TSF:Treatment   7.1030  3   0.068686 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## boundary (singular) fit: see help('isSingular')
## NOTE: Results may be misleading due to involvement in interactions
## $emmeans
##  TSF                emmean    SE    df lower.CL upper.CL
##  Recently Burned      62.0 0.422  6.24     60.9     63.0
##  Intermediate         65.2 0.417  5.95     64.2     66.2
##  3 Years Since Fire   65.7 0.518 14.96     64.5     66.8
##  Not Yet Burned       64.2 0.422  6.24     63.2     65.3
## 
## Results are averaged over the levels of: Treatment 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                             estimate    SE   df t.ratio p.value
##  Recently Burned - Intermediate         -3.217 0.223 1942 -14.439  <.0001
##  Recently Burned - 3 Years Since Fire   -3.683 0.380 1972  -9.687  <.0001
##  Recently Burned - Not Yet Burned       -2.267 0.230 1970  -9.857  <.0001
##  Intermediate - 3 Years Since Fire      -0.466 0.362 1959  -1.289  0.5703
##  Intermediate - Not Yet Burned           0.950 0.240 1935   3.962  0.0004
##  3 Years Since Fire - Not Yet Burned     1.416 0.406 1943   3.490  0.0028
## 
## Results are averaged over the levels of: Treatment 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 4 estimates
## boundary (singular) fit: see help('isSingular')
## NOTE: Results may be misleading due to involvement in interactions
## $emmeans
##  TSF                emmean    SE    df lower.CL upper.CL
##  Recently Burned      62.0 0.422  6.24     60.9     63.0
##  Intermediate         65.2 0.417  5.95     64.2     66.2
##  3 Years Since Fire   65.7 0.518 14.96     64.5     66.8
##  Not Yet Burned       64.2 0.422  6.24     63.2     65.3
## 
## Results are averaged over the levels of: Treatment 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                             estimate    SE   df lower.CL upper.CL
##  Recently Burned - Intermediate         -3.217 0.223 1942   -3.790   -2.644
##  Recently Burned - 3 Years Since Fire   -3.683 0.380 1972   -4.660   -2.705
##  Recently Burned - Not Yet Burned       -2.267 0.230 1970   -2.858   -1.675
##  Intermediate - 3 Years Since Fire      -0.466 0.362 1959   -1.396    0.464
##  Intermediate - Not Yet Burned           0.950 0.240 1935    0.334    1.567
##  3 Years Since Fire - Not Yet Burned     1.416 0.406 1943    0.373    2.460
## 
## Results are averaged over the levels of: Treatment 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## Conf-level adjustment: tukey method for comparing a family of 4 estimates
## boundary (singular) fit: see help('isSingular')
## NOTE: Results may be misleading due to involvement in interactions
## $emmeans
##  Treatment emmean    SE   df lower.CL upper.CL
##  Cattle      63.3 0.586 5.78     61.8     64.7
##  Sheep       65.2 0.552 4.46     63.8     66.7
## 
## Results are averaged over the levels of: TSF 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast       estimate    SE  df t.ratio p.value
##  Cattle - Sheep    -1.94 0.805 5.1  -2.412  0.0597
## 
## Results are averaged over the levels of: TSF 
## Degrees-of-freedom method: kenward-roger
## boundary (singular) fit: see help('isSingular')
## NOTE: Results may be misleading due to involvement in interactions
## $emmeans
##  Treatment emmean    SE   df lower.CL upper.CL
##  Cattle      63.3 0.586 5.78     61.8     64.7
##  Sheep       65.2 0.552 4.46     63.8     66.7
## 
## Results are averaged over the levels of: TSF 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast       estimate    SE  df lower.CL upper.CL
##  Cattle - Sheep    -1.94 0.805 5.1       -4    0.115
## 
## Results are averaged over the levels of: TSF 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95

##ADL

TSF only

Overall TSF: RB < others

## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: ADL
##                  Chisq Df Pr(>Chisq)    
## TSF           288.5586  3     <2e-16 ***
## Treatment       0.5675  1     0.4513    
## TSF:Treatment   4.5166  3     0.2108    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## boundary (singular) fit: see help('isSingular')
## NOTE: Results may be misleading due to involvement in interactions
## $emmeans
##  TSF                emmean    SE   df lower.CL upper.CL
##  Recently Burned      4.15 0.155 5.00     3.75     4.54
##  Intermediate         4.67 0.155 4.96     4.27     5.07
##  3 Years Since Fire   4.64 0.163 6.28     4.24     5.03
##  Not Yet Burned       4.71 0.155 5.02     4.31     5.11
## 
## Results are averaged over the levels of: Treatment 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                             estimate     SE   df t.ratio p.value
##  Recently Burned - Intermediate        -0.5237 0.0378 1915 -13.858  <.0001
##  Recently Burned - 3 Years Since Fire  -0.4909 0.0649 1929  -7.561  <.0001
##  Recently Burned - Not Yet Burned      -0.5627 0.0392 1927 -14.343  <.0001
##  Intermediate - 3 Years Since Fire      0.0328 0.0615 1921   0.533  0.9510
##  Intermediate - Not Yet Burned         -0.0390 0.0415 1951  -0.940  0.7835
##  3 Years Since Fire - Not Yet Burned   -0.0718 0.0701 1949  -1.024  0.7355
## 
## Results are averaged over the levels of: Treatment 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 4 estimates
## boundary (singular) fit: see help('isSingular')
## NOTE: Results may be misleading due to involvement in interactions
## $emmeans
##  TSF                emmean    SE   df lower.CL upper.CL
##  Recently Burned      4.15 0.155 5.00     3.75     4.54
##  Intermediate         4.67 0.155 4.96     4.27     5.07
##  3 Years Since Fire   4.64 0.163 6.28     4.24     5.03
##  Not Yet Burned       4.71 0.155 5.02     4.31     5.11
## 
## Results are averaged over the levels of: Treatment 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                             estimate     SE   df lower.CL upper.CL
##  Recently Burned - Intermediate        -0.5237 0.0378 1915   -0.621  -0.4265
##  Recently Burned - 3 Years Since Fire  -0.4909 0.0649 1929   -0.658  -0.3239
##  Recently Burned - Not Yet Burned      -0.5627 0.0392 1927   -0.664  -0.4618
##  Intermediate - 3 Years Since Fire      0.0328 0.0615 1921   -0.125   0.1909
##  Intermediate - Not Yet Burned         -0.0390 0.0415 1951   -0.146   0.0677
##  3 Years Since Fire - Not Yet Burned   -0.0718 0.0701 1949   -0.252   0.1085
## 
## Results are averaged over the levels of: Treatment 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## Conf-level adjustment: tukey method for comparing a family of 4 estimates

##CP

TSF and interaction

Overall TSF: RB > NYB > Intermediate > 3Yr

Interaction Sheep: RB > NYB > Intermediate = 3Yr Cattle: RB = NYB > Intermediate > 3Yr

## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: log(CP + 1)
##                  Chisq Df Pr(>Chisq)    
## TSF           436.1178  3  < 2.2e-16 ***
## Treatment       3.2467  1    0.07157 .  
## TSF:Treatment  54.7090  3  7.921e-12 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## boundary (singular) fit: see help('isSingular')
## NOTE: Results may be misleading due to involvement in interactions
## $emmeans
##  TSF                emmean     SE   df lower.CL upper.CL
##  Recently Burned      2.33 0.0315 5.43     2.25     2.41
##  Intermediate         2.12 0.0313 5.30     2.04     2.19
##  3 Years Since Fire   2.00 0.0353 8.87     1.92     2.08
##  Not Yet Burned       2.26 0.0315 5.45     2.18     2.33
## 
## Results are averaged over the levels of: Treatment 
## Degrees-of-freedom method: kenward-roger 
## Results are given on the log(mu + 1) (not the response) scale. 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                             estimate     SE   df t.ratio p.value
##  Recently Burned - Intermediate         0.2165 0.0119 1937  18.256  <.0001
##  Recently Burned - 3 Years Since Fire   0.3288 0.0203 1967  16.222  <.0001
##  Recently Burned - Not Yet Burned       0.0765 0.0123 1964   6.244  <.0001
##  Intermediate - 3 Years Since Fire      0.1123 0.0193 1952   5.830  <.0001
##  Intermediate - Not Yet Burned         -0.1400 0.0128 1956 -10.915  <.0001
##  3 Years Since Fire - Not Yet Burned   -0.2523 0.0217 1962 -11.630  <.0001
## 
## Results are averaged over the levels of: Treatment 
## Note: contrasts are still on the log(mu + 1) scale 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 4 estimates
## boundary (singular) fit: see help('isSingular')
## NOTE: Results may be misleading due to involvement in interactions
## $emmeans
##  TSF                emmean     SE   df lower.CL upper.CL
##  Recently Burned      2.33 0.0315 5.43     2.25     2.41
##  Intermediate         2.12 0.0313 5.30     2.04     2.19
##  3 Years Since Fire   2.00 0.0353 8.87     1.92     2.08
##  Not Yet Burned       2.26 0.0315 5.45     2.18     2.33
## 
## Results are averaged over the levels of: Treatment 
## Degrees-of-freedom method: kenward-roger 
## Results are given on the log(mu + 1) (not the response) scale. 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                             estimate     SE   df lower.CL upper.CL
##  Recently Burned - Intermediate         0.2165 0.0119 1937   0.1860    0.247
##  Recently Burned - 3 Years Since Fire   0.3288 0.0203 1967   0.2767    0.381
##  Recently Burned - Not Yet Burned       0.0765 0.0123 1964   0.0450    0.108
##  Intermediate - 3 Years Since Fire      0.1123 0.0193 1952   0.0628    0.162
##  Intermediate - Not Yet Burned         -0.1400 0.0128 1956  -0.1730   -0.107
##  3 Years Since Fire - Not Yet Burned   -0.2523 0.0217 1962  -0.3081   -0.197
## 
## Results are averaged over the levels of: Treatment 
## Note: contrasts are still on the log(mu + 1) scale 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## Conf-level adjustment: tukey method for comparing a family of 4 estimates
## boundary (singular) fit: see help('isSingular')
## $emmeans
## Treatment = Cattle:
##  TSF                emmean     SE    df lower.CL upper.CL
##  Recently Burned      2.37 0.0460  6.24     2.26     2.48
##  Intermediate         2.15 0.0458  6.11     2.03     2.26
##  3 Years Since Fire   1.98 0.0519 10.44     1.86     2.09
##  Not Yet Burned       2.36 0.0459  6.19     2.25     2.47
## 
## Treatment = Sheep:
##  TSF                emmean     SE    df lower.CL upper.CL
##  Recently Burned      2.29 0.0429  4.66     2.18     2.41
##  Intermediate         2.08 0.0427  4.53     1.97     2.20
##  3 Years Since Fire   2.03 0.0478  7.40     1.92     2.14
##  Not Yet Burned       2.15 0.0431  4.74     2.04     2.26
## 
## Degrees-of-freedom method: kenward-roger 
## Results are given on the log(mu + 1) (not the response) scale. 
## Confidence level used: 0.95 
## 
## $contrasts
## Treatment = Cattle:
##  contrast                             estimate     SE   df t.ratio p.value
##  Recently Burned - Intermediate        0.22267 0.0169 1940  13.159  <.0001
##  Recently Burned - 3 Years Since Fire  0.39205 0.0298 1968  13.173  <.0001
##  Recently Burned - Not Yet Burned      0.00679 0.0172 1960   0.394  0.9793
##  Intermediate - 3 Years Since Fire     0.16937 0.0283 1955   5.989  <.0001
##  Intermediate - Not Yet Burned        -0.21589 0.0181 1954 -11.931  <.0001
##  3 Years Since Fire - Not Yet Burned  -0.38526 0.0316 1956 -12.201  <.0001
## 
## Treatment = Sheep:
##  contrast                             estimate     SE   df t.ratio p.value
##  Recently Burned - Intermediate        0.21042 0.0166 1934  12.656  <.0001
##  Recently Burned - 3 Years Since Fire  0.26565 0.0275 1965   9.648  <.0001
##  Recently Burned - Not Yet Burned      0.14630 0.0174 1968   8.386  <.0001
##  Intermediate - 3 Years Since Fire     0.05522 0.0262 1949   2.111  0.1499
##  Intermediate - Not Yet Burned        -0.06412 0.0182 1959  -3.526  0.0024
##  3 Years Since Fire - Not Yet Burned  -0.11935 0.0298 1967  -4.011  0.0004
## 
## Note: contrasts are still on the log(mu + 1) scale 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 4 estimates
## boundary (singular) fit: see help('isSingular')
## $emmeans
## Treatment = Cattle:
##  TSF                emmean     SE    df lower.CL upper.CL
##  Recently Burned      2.37 0.0460  6.24     2.26     2.48
##  Intermediate         2.15 0.0458  6.11     2.03     2.26
##  3 Years Since Fire   1.98 0.0519 10.44     1.86     2.09
##  Not Yet Burned       2.36 0.0459  6.19     2.25     2.47
## 
## Treatment = Sheep:
##  TSF                emmean     SE    df lower.CL upper.CL
##  Recently Burned      2.29 0.0429  4.66     2.18     2.41
##  Intermediate         2.08 0.0427  4.53     1.97     2.20
##  3 Years Since Fire   2.03 0.0478  7.40     1.92     2.14
##  Not Yet Burned       2.15 0.0431  4.74     2.04     2.26
## 
## Degrees-of-freedom method: kenward-roger 
## Results are given on the log(mu + 1) (not the response) scale. 
## Confidence level used: 0.95 
## 
## $contrasts
## Treatment = Cattle:
##  contrast                             estimate     SE   df lower.CL upper.CL
##  Recently Burned - Intermediate        0.22267 0.0169 1940   0.1792   0.2662
##  Recently Burned - 3 Years Since Fire  0.39205 0.0298 1968   0.3155   0.4686
##  Recently Burned - Not Yet Burned      0.00679 0.0172 1960  -0.0375   0.0511
##  Intermediate - 3 Years Since Fire     0.16937 0.0283 1955   0.0967   0.2421
##  Intermediate - Not Yet Burned        -0.21589 0.0181 1954  -0.2624  -0.1694
##  3 Years Since Fire - Not Yet Burned  -0.38526 0.0316 1956  -0.4664  -0.3041
## 
## Treatment = Sheep:
##  contrast                             estimate     SE   df lower.CL upper.CL
##  Recently Burned - Intermediate        0.21042 0.0166 1934   0.1677   0.2532
##  Recently Burned - 3 Years Since Fire  0.26565 0.0275 1965   0.1949   0.3364
##  Recently Burned - Not Yet Burned      0.14630 0.0174 1968   0.1014   0.1912
##  Intermediate - 3 Years Since Fire     0.05522 0.0262 1949  -0.0120   0.1225
##  Intermediate - Not Yet Burned        -0.06412 0.0182 1959  -0.1109  -0.0174
##  3 Years Since Fire - Not Yet Burned  -0.11935 0.0298 1967  -0.1959  -0.0428
## 
## Note: contrasts are still on the log(mu + 1) scale 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## Conf-level adjustment: tukey method for comparing a family of 4 estimates

##Moisture

TSF only

Overall TSF: RB > Intermediate = NYB > 3yr

## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: Moisture
##                  Chisq Df Pr(>Chisq)    
## TSF           410.1747  3     <2e-16 ***
## Treatment       1.3448  1     0.2462    
## TSF:Treatment   0.2121  3     0.9756    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## boundary (singular) fit: see help('isSingular')
## NOTE: Results may be misleading due to involvement in interactions
## $emmeans
##  TSF                emmean   SE   df lower.CL upper.CL
##  Recently Burned      50.9 1.79 5.00     46.3     55.5
##  Intermediate         43.6 1.78 4.95     39.0     48.2
##  3 Years Since Fire   40.9 1.89 6.30     36.3     45.4
##  Not Yet Burned       44.1 1.79 5.01     39.5     48.7
## 
## Results are averaged over the levels of: Treatment 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                             estimate    SE   df t.ratio p.value
##  Recently Burned - Intermediate          7.308 0.441 1914  16.583  <.0001
##  Recently Burned - 3 Years Since Fire   10.031 0.757 1928  13.248  <.0001
##  Recently Burned - Not Yet Burned        6.822 0.458 1926  14.911  <.0001
##  Intermediate - 3 Years Since Fire       2.723 0.717 1920   3.796  0.0009
##  Intermediate - Not Yet Burned          -0.486 0.484 1949  -1.004  0.7469
##  3 Years Since Fire - Not Yet Burned    -3.209 0.818 1948  -3.924  0.0005
## 
## Results are averaged over the levels of: Treatment 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 4 estimates
## boundary (singular) fit: see help('isSingular')
## NOTE: Results may be misleading due to involvement in interactions
## $emmeans
##  TSF                emmean   SE   df lower.CL upper.CL
##  Recently Burned      50.9 1.79 5.00     46.3     55.5
##  Intermediate         43.6 1.78 4.95     39.0     48.2
##  3 Years Since Fire   40.9 1.89 6.30     36.3     45.4
##  Not Yet Burned       44.1 1.79 5.01     39.5     48.7
## 
## Results are averaged over the levels of: Treatment 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                             estimate    SE   df lower.CL upper.CL
##  Recently Burned - Intermediate          7.308 0.441 1914    6.175    8.442
##  Recently Burned - 3 Years Since Fire   10.031 0.757 1928    8.084   11.978
##  Recently Burned - Not Yet Burned        6.822 0.458 1926    5.646    7.999
##  Intermediate - 3 Years Since Fire       2.723 0.717 1920    0.879    4.567
##  Intermediate - Not Yet Burned          -0.486 0.484 1949   -1.730    0.758
##  3 Years Since Fire - Not Yet Burned    -3.209 0.818 1948   -5.312   -1.106
## 
## Results are averaged over the levels of: Treatment 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## Conf-level adjustment: tukey method for comparing a family of 4 estimates

##SI

something still isn’t right with the glmer. the post hoc test results are flipped (directionally)

TSF only

Overall TSF: RB > Intermediate = NYB > 3yr

## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: (Powell + 0.001)
##                  Chisq Df Pr(>Chisq)    
## TSF           130.9634  3     <2e-16 ***
## Treatment       0.0043  1     0.9475    
## TSF:Treatment   4.5163  3     0.2108    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## NOTE: Results may be misleading due to involvement in interactions
## $emmeans
##  TSF                emmean     SE  df asymp.LCL asymp.UCL
##  Recently Burned     0.508 0.0438 Inf     0.422     0.594
##  Intermediate        1.700 0.1283 Inf     1.449     1.952
##  3 Years Since Fire  3.848 0.6302 Inf     2.613     5.084
##  Not Yet Burned      1.201 0.0883 Inf     1.028     1.374
## 
## Results are averaged over the levels of: Treatment 
## Results are given on the inverse(mu + 0.001) (not the response) scale. 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                             estimate     SE  df z.ratio p.value
##  Recently Burned - Intermediate         -1.192 0.1356 Inf  -8.789  <.0001
##  Recently Burned - 3 Years Since Fire   -3.340 0.6317 Inf  -5.288  <.0001
##  Recently Burned - Not Yet Burned       -0.693 0.0986 Inf  -7.024  <.0001
##  Intermediate - 3 Years Since Fire      -2.148 0.6431 Inf  -3.341  0.0046
##  Intermediate - Not Yet Burned           0.499 0.1558 Inf   3.205  0.0074
##  3 Years Since Fire - Not Yet Burned     2.648 0.6363 Inf   4.161  0.0002
## 
## Results are averaged over the levels of: Treatment 
## Note: contrasts are still on the inverse(mu + 0.001) scale 
## Results are given on the ( (not the response) scale. 
## P value adjustment: tukey method for comparing a family of 4 estimates
## NOTE: Results may be misleading due to involvement in interactions
## $emmeans
##  TSF                emmean     SE  df asymp.LCL asymp.UCL
##  Recently Burned     0.508 0.0438 Inf     0.422     0.594
##  Intermediate        1.700 0.1283 Inf     1.449     1.952
##  3 Years Since Fire  3.848 0.6302 Inf     2.613     5.084
##  Not Yet Burned      1.201 0.0883 Inf     1.028     1.374
## 
## Results are averaged over the levels of: Treatment 
## Results are given on the inverse(mu + 0.001) (not the response) scale. 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                             estimate     SE  df asymp.LCL asymp.UCL
##  Recently Burned - Intermediate         -1.192 0.1356 Inf    -1.540    -0.843
##  Recently Burned - 3 Years Since Fire   -3.340 0.6317 Inf    -4.963    -1.717
##  Recently Burned - Not Yet Burned       -0.693 0.0986 Inf    -0.946    -0.439
##  Intermediate - 3 Years Since Fire      -2.148 0.6431 Inf    -3.801    -0.496
##  Intermediate - Not Yet Burned           0.499 0.1558 Inf     0.099     0.900
##  3 Years Since Fire - Not Yet Burned     2.648 0.6363 Inf     1.013     4.282
## 
## Results are averaged over the levels of: Treatment 
## Note: contrasts are still on the inverse(mu + 0.001) scale 
## Results are given on the ( (not the response) scale. 
## Confidence level used: 0.95 
## Conf-level adjustment: tukey method for comparing a family of 4 estimates

Ordination Setup2

##                       importance.MDS1 importance.MDS2 importance.MDS3
## Eigenvalue                       1.16            0.46            0.01
## Proportion Explained             0.71            0.28            0.01
## Cumulative Proportion            0.71            0.99            1.00
## 
## ***VECTORS
## 
##              MDS1     MDS2     r2 Pr(>r)   
## Moisture  0.96876 -0.24800 0.6353  0.002 **
## Powell    0.88571  0.46423 0.1112  0.002 **
## KgHa     -0.90003 -0.43584 0.1967  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
## TSFRecently Burned     0.1048  0.0303
## TSFIntermediate       -0.0299 -0.0791
## TSF3 Years Since Fire -0.1366 -0.0435
## TSFNot Yet Burned     -0.0223  0.0607
## ESDClayey              0.0092  0.0237
## ESDLoamy               0.0132 -0.0215
## ESDSaline Lowland     -0.0221 -0.0122
## ESDSandy               0.0084  0.0058
## ESDThin Claypan       -0.0130 -0.0813
## MonthJune              0.2576 -0.0473
## MonthJuly              0.0126 -0.0337
## MonthAugust           -0.0876  0.0020
## MonthSeptember        -0.1181  0.0672
## TreatmentCattle        0.0232  0.0548
## TreatmentSheep        -0.0288 -0.0680
## 
## Goodness of fit:
##               r2 Pr(>r)   
## TSF       0.0923  0.002 **
## ESD       0.0062  0.602   
## Month     0.2390  0.002 **
## Treatment 0.0500  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:  NIR.cap3a by NIREnv_2a$TSF
## 999 permutations 
## 
##                    Recently Burned Intermediate 3 Years Since Fire
## Intermediate       0.001           -            -                 
## 3 Years Since Fire 0.001           0.001        -                 
## Not Yet Burned     0.001           0.001        0.001             
## 
## P value adjustment method: fdr
## 
##  Pairwise comparisons using factor fitting to an ordination 
## 
## data:  NIR.cap3a by NIREnv_2a$Month
## 999 permutations 
## 
##           June  July  August
## July      0.001 -     -     
## August    0.001 0.001 -     
## September 0.001 0.001 0.001 
## 
## P value adjustment method: fdr

#Weight gains

versus 0

## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Fit: lmer(formula = ADG ~ Year + 0 + (1 | Pasture1/Year), data = HrecEwe, 
##     REML = FALSE)
## 
## Linear Hypotheses:
##               Estimate Std. Error z value Pr(>|z|)    
## Year2016 == 0 0.257578   0.008247   31.23   <2e-16 ***
## Year2017 == 0 0.289330   0.008433   34.31   <2e-16 ***
## Year2018 == 0 0.347227   0.008408   41.30   <2e-16 ***
## Year2019 == 0 0.289061   0.008572   33.72   <2e-16 ***
## Year2020 == 0 0.227955   0.008526   26.74   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)
## 
##   Simultaneous Confidence Intervals
## 
## Fit: lmer(formula = ADG ~ Year + 0 + (1 | Pasture1/Year), data = HrecEwe, 
##     REML = FALSE)
## 
## Quantile = 2.565
## 95% family-wise confidence level
##  
## 
## Linear Hypotheses:
##               Estimate lwr    upr   
## Year2016 == 0 0.2576   0.2364 0.2787
## Year2017 == 0 0.2893   0.2677 0.3110
## Year2018 == 0 0.3472   0.3257 0.3688
## Year2019 == 0 0.2891   0.2671 0.3110
## Year2020 == 0 0.2280   0.2061 0.2498
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Fit: lmer(formula = ADG ~ Year + 0 + (1 | Pasture1/Year), data = HrecCow, 
##     REML = FALSE)
## 
## Linear Hypotheses:
##               Estimate Std. Error z value Pr(>|z|)    
## Year2016 == 0  0.64684    0.08892   7.275 1.74e-12 ***
## Year2017 == 0  0.45185    0.08955   5.046 2.26e-06 ***
## Year2018 == 0  1.28594    0.08812  14.593  < 2e-16 ***
## Year2019 == 0  0.62724    0.09316   6.733 8.30e-11 ***
## Year2020 == 0  0.61921    0.09363   6.614 1.87e-10 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)
## 
##   Simultaneous Confidence Intervals
## 
## Fit: lmer(formula = ADG ~ Year + 0 + (1 | Pasture1/Year), data = HrecCow, 
##     REML = FALSE)
## 
## Quantile = 2.569
## 95% family-wise confidence level
##  
## 
## Linear Hypotheses:
##               Estimate lwr    upr   
## Year2016 == 0 0.6468   0.4184 0.8753
## Year2017 == 0 0.4519   0.2218 0.6819
## Year2018 == 0 1.2859   1.0596 1.5123
## Year2019 == 0 0.6272   0.3879 0.8666
## Year2020 == 0 0.6192   0.3787 0.8597
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Fit: lmer(formula = ADG ~ Year + 0 + (1 | Pasture1/Year), data = HrecCalf, 
##     REML = FALSE)
## 
## Linear Hypotheses:
##               Estimate Std. Error z value Pr(>|z|)    
## Year2016 == 0  2.98717    0.04546   65.72   <2e-16 ***
## Year2017 == 0  3.09392    0.04520   68.44   <2e-16 ***
## Year2018 == 0  2.64443    0.04505   58.70   <2e-16 ***
## Year2019 == 0  2.96073    0.04691   63.11   <2e-16 ***
## Year2020 == 0  2.97068    0.04751   62.52   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)
## 
##   Simultaneous Confidence Intervals
## 
## Fit: lmer(formula = ADG ~ Year + 0 + (1 | Pasture1/Year), data = HrecCalf, 
##     REML = FALSE)
## 
## Quantile = 2.569
## 95% family-wise confidence level
##  
## 
## Linear Hypotheses:
##               Estimate lwr    upr   
## Year2016 == 0 2.9872   2.8704 3.1039
## Year2017 == 0 3.0939   2.9778 3.2100
## Year2018 == 0 2.6444   2.5287 2.7602
## Year2019 == 0 2.9607   2.8402 3.0813
## Year2020 == 0 2.9707   2.8486 3.0927
## 
##   Simultaneous Tests for General Linear Hypotheses
## 
## Fit: lmer(formula = ADG ~ Type + 0 + (1 | Pasture1/Year), data = HrecAdgRaw, 
##     REML = FALSE)
## 
## Linear Hypotheses:
##               Estimate Std. Error z value Pr(>|z|)    
## TypeEwe == 0   0.28220    0.01995   14.14   <2e-16 ***
## TypeCalf == 0  2.92754    0.02410  121.49   <2e-16 ***
## TypeCow == 0   0.73571    0.02388   30.81   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## (Adjusted p values reported -- single-step method)
## 
##   Simultaneous Confidence Intervals
## 
## Fit: lmer(formula = ADG ~ Type + 0 + (1 | Pasture1/Year), data = HrecAdgRaw, 
##     REML = FALSE)
## 
## Quantile = 2.3625
## 95% family-wise confidence level
##  
## 
## Linear Hypotheses:
##               Estimate lwr    upr   
## TypeEwe == 0  0.2822   0.2351 0.3293
## TypeCalf == 0 2.9275   2.8706 2.9845
## TypeCow == 0  0.7357   0.6793 0.7921

Year Test

Ewe

## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: ADG
##      Chisq Df Pr(>Chisq)    
## Year 129.4  4  < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## $emmeans
##  Year emmean     SE   df lower.CL upper.CL
##  2016  0.258 0.0102 19.9    0.236    0.279
##  2017  0.289 0.0103 20.6    0.268    0.311
##  2018  0.347 0.0103 20.5    0.326    0.369
##  2019  0.289 0.0104 21.1    0.267    0.311
##  2020  0.228 0.0104 20.9    0.206    0.250
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast             estimate     SE   df t.ratio p.value
##  Year2016 - Year2017 -0.031753 0.0134 17.8  -2.370  0.1696
##  Year2016 - Year2018 -0.089650 0.0134 17.7  -6.698  <.0001
##  Year2016 - Year2019 -0.031484 0.0135 18.0  -2.334  0.1795
##  Year2016 - Year2020  0.029623 0.0135 17.9   2.201  0.2239
##  Year2017 - Year2018 -0.057897 0.0135 18.0  -4.289  0.0035
##  Year2017 - Year2019  0.000269 0.0136 18.3   0.020  1.0000
##  Year2017 - Year2020  0.061375 0.0136 18.2   4.522  0.0021
##  Year2018 - Year2019  0.058166 0.0136 18.3   4.281  0.0035
##  Year2018 - Year2020  0.119272 0.0136 18.2   8.797  <.0001
##  Year2019 - Year2020  0.061107 0.0137 18.5   4.473  0.0023
## 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 5 estimates
## $emmeans
##  Year emmean     SE   df lower.CL upper.CL
##  2016  0.258 0.0102 19.9    0.236    0.279
##  2017  0.289 0.0103 20.6    0.268    0.311
##  2018  0.347 0.0103 20.5    0.326    0.369
##  2019  0.289 0.0104 21.1    0.267    0.311
##  2020  0.228 0.0104 20.9    0.206    0.250
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast             estimate     SE   df lower.CL upper.CL
##  Year2016 - Year2017 -0.031753 0.0134 17.8  -0.0723  0.00882
##  Year2016 - Year2018 -0.089650 0.0134 17.7  -0.1302 -0.04911
##  Year2016 - Year2019 -0.031484 0.0135 18.0  -0.0723  0.00930
##  Year2016 - Year2020  0.029623 0.0135 17.9  -0.0111  0.07034
##  Year2017 - Year2018 -0.057897 0.0135 18.0  -0.0987 -0.01708
##  Year2017 - Year2019  0.000269 0.0136 18.3  -0.0408  0.04133
##  Year2017 - Year2020  0.061375 0.0136 18.2   0.0204  0.10237
##  Year2018 - Year2019  0.058166 0.0136 18.3   0.0171  0.09919
##  Year2018 - Year2020  0.119272 0.0136 18.2   0.0783  0.16023
##  Year2019 - Year2020  0.061107 0.0137 18.5   0.0199  0.10231
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## Conf-level adjustment: tukey method for comparing a family of 5 estimates

Calf

## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: ADG
##       Chisq Df Pr(>Chisq)    
## Year 56.267  4  1.763e-11 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## boundary (singular) fit: see help('isSingular')
## $emmeans
##  Year emmean     SE   df lower.CL upper.CL
##  2016   2.99 0.0561 22.3     2.87     3.10
##  2017   3.09 0.0558 22.1     2.98     3.21
##  2018   2.64 0.0557 22.1     2.53     2.76
##  2019   2.96 0.0572 23.2     2.84     3.08
##  2020   2.97 0.0577 23.7     2.85     3.09
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast            estimate     SE   df t.ratio p.value
##  Year2016 - Year2017 -0.10675 0.0791 17.9  -1.349  0.6657
##  Year2016 - Year2018  0.34274 0.0790 17.9   4.337  0.0033
##  Year2016 - Year2019  0.02644 0.0802 18.4   0.330  0.9972
##  Year2016 - Year2020  0.01649 0.0805 18.5   0.205  0.9996
##  Year2017 - Year2018  0.44949 0.0788 17.8   5.701  0.0002
##  Year2017 - Year2019  0.13319 0.0799 18.3   1.666  0.4774
##  Year2017 - Year2020  0.12324 0.0803 18.5   1.535  0.5539
##  Year2018 - Year2019 -0.31630 0.0799 18.3  -3.960  0.0070
##  Year2018 - Year2020 -0.32625 0.0802 18.4  -4.069  0.0055
##  Year2019 - Year2020 -0.00995 0.0813 18.9  -0.122  0.9999
## 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 5 estimates
## boundary (singular) fit: see help('isSingular')
## $emmeans
##  Year emmean     SE   df lower.CL upper.CL
##  2016   2.99 0.0561 22.3     2.87     3.10
##  2017   3.09 0.0558 22.1     2.98     3.21
##  2018   2.64 0.0557 22.1     2.53     2.76
##  2019   2.96 0.0572 23.2     2.84     3.08
##  2020   2.97 0.0577 23.7     2.85     3.09
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast            estimate     SE   df lower.CL upper.CL
##  Year2016 - Year2017 -0.10675 0.0791 17.9   -0.346   0.1326
##  Year2016 - Year2018  0.34274 0.0790 17.9    0.104   0.5819
##  Year2016 - Year2019  0.02644 0.0802 18.4   -0.215   0.2683
##  Year2016 - Year2020  0.01649 0.0805 18.5   -0.226   0.2591
##  Year2017 - Year2018  0.44949 0.0788 17.8    0.211   0.6882
##  Year2017 - Year2019  0.13319 0.0799 18.3   -0.108   0.3745
##  Year2017 - Year2020  0.12324 0.0803 18.5   -0.119   0.3653
##  Year2018 - Year2019 -0.31630 0.0799 18.3   -0.557  -0.0751
##  Year2018 - Year2020 -0.32625 0.0802 18.4   -0.568  -0.0844
##  Year2019 - Year2020 -0.00995 0.0813 18.9   -0.255   0.2346
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## Conf-level adjustment: tukey method for comparing a family of 5 estimates

Cow

## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: ADG
##       Chisq Df Pr(>Chisq)    
## Year 52.936  4   8.79e-11 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## boundary (singular) fit: see help('isSingular')
## $emmeans
##  Year emmean    SE   df lower.CL upper.CL
##  2016  0.647 0.110 22.3    0.419    0.875
##  2017  0.452 0.111 22.5    0.223    0.681
##  2018  1.286 0.109 22.1    1.059    1.513
##  2019  0.627 0.113 23.7    0.393    0.862
##  2020  0.619 0.114 23.9    0.384    0.854
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast            estimate    SE   df t.ratio p.value
##  Year2016 - Year2017  0.19498 0.156 17.9   1.249  0.7238
##  Year2016 - Year2018 -0.63910 0.155 17.7  -4.117  0.0053
##  Year2016 - Year2019  0.01959 0.158 18.4   0.124  0.9999
##  Year2016 - Year2020  0.02762 0.158 18.5   0.174  0.9998
##  Year2017 - Year2018 -0.83409 0.156 17.8  -5.362  0.0004
##  Year2017 - Year2019 -0.17539 0.158 18.5  -1.107  0.8008
##  Year2017 - Year2020 -0.16736 0.159 18.6  -1.054  0.8269
##  Year2018 - Year2019  0.65870 0.158 18.3   4.179  0.0044
##  Year2018 - Year2020  0.66673 0.158 18.4   4.222  0.0039
##  Year2019 - Year2020  0.00803 0.161 19.0   0.050  1.0000
## 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 5 estimates
## boundary (singular) fit: see help('isSingular')
## $emmeans
##  Year emmean    SE   df lower.CL upper.CL
##  2016  0.647 0.110 22.3    0.419    0.875
##  2017  0.452 0.111 22.5    0.223    0.681
##  2018  1.286 0.109 22.1    1.059    1.513
##  2019  0.627 0.113 23.7    0.393    0.862
##  2020  0.619 0.114 23.9    0.384    0.854
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast            estimate    SE   df lower.CL upper.CL
##  Year2016 - Year2017  0.19498 0.156 17.9   -0.277    0.667
##  Year2016 - Year2018 -0.63910 0.155 17.7   -1.109   -0.169
##  Year2016 - Year2019  0.01959 0.158 18.4   -0.458    0.497
##  Year2016 - Year2020  0.02762 0.158 18.5   -0.450    0.505
##  Year2017 - Year2018 -0.83409 0.156 17.8   -1.305   -0.363
##  Year2017 - Year2019 -0.17539 0.158 18.5   -0.653    0.302
##  Year2017 - Year2020 -0.16736 0.159 18.6   -0.646    0.311
##  Year2018 - Year2019  0.65870 0.158 18.3    0.183    1.134
##  Year2018 - Year2020  0.66673 0.158 18.4    0.190    1.143
##  Year2019 - Year2020  0.00803 0.161 19.0   -0.475    0.491
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## Conf-level adjustment: tukey method for comparing a family of 5 estimates

ADG Graph Stack

cowplot::plot_grid( CowPlot,CalfPlot, EwePlot, nrow = 3   )

#Graphs

##Biomass

##Moisture

##Protein

##NDF

##ADF

##ADL

##SI

Stacks

Bio CP Moisture

cowplot::plot_grid( BioPlot,MoiPlot, CPRPlot, nrow = 3)

Fiber stack

cowplot::plot_grid( NDFPlot,ADFPlot, ADLPlot, nrow = 3)

Ordi stack1

cowplot::plot_grid( Plot1, NULL, Plot2, Plot3, nrow = 2, labels=c('A','','B','C') )

Ordi stack2

cowplot::plot_grid( Plot1b, Plot2b, Plot3b, nrow = 3, labels=c('A','B','C') )