Appendix E. Analysis of covariance (ANCOVA) of cover and species richness of grass- and shrub-dominated vegetation in control and treatment plots in response to seasonal rainfall. Tr = treatment, Ps = summer precipitation, Pw = winter precipitation. In statistically significant models, significant P values for precipitation and treatment effects are presented in bold.
Shrub vegetation: cover vs. summer precipitation |
||||||||||
ANOVA |
Parameter estimates |
|||||||||
Source |
df |
SS |
MS |
F |
P |
Term |
Estimate |
Std. Error |
P |
|
Summer annuals |
R2 = 0.053 |
Intercept |
0.175 |
0.080 |
0.031 |
|||||
Model |
3 |
0.334 |
0.111 |
1.429 |
0.241 |
Tr |
-0.024 |
0.031 |
0.447 |
|
Error |
76 |
5.917 |
0.078 |
Ps |
0.001 |
0.001 |
0.076 |
|||
C. Total |
79 |
6.251 |
Tr × Ps |
0.000 |
0.001 |
0.495 |
||||
Forbs |
R2 = 0.03 |
Intercept |
0.046 |
0.137 |
0.738 |
|||||
Model |
3 |
0.581 |
0.194 |
0.861 |
0.465 |
Tr |
-0.019 |
0.053 |
0.724 |
|
Error |
75 |
16.865 |
0.225 |
Ps |
0.001 |
0.001 |
0.248 |
|||
C. Total |
78 |
17.446 |
Tr × Ps |
0.001 |
0.001 |
0.290 |
||||
Grasses |
R2 = 0.09 |
Intercept |
0.635 |
0.079 |
<0.001 |
|||||
Model |
3 |
0.593 |
0.198 |
2.573 |
0.060 |
Tr |
-0.074 |
0.031 |
0.019 |
|
Error |
76 |
5.836 |
0.077 |
Ps |
0.001 |
0.001 |
0.160 |
|||
C. Total |
79 |
6.429 |
Tr × Ps |
0.000 |
0.001 |
0.977 |
||||
Shrubs |
R2 = 0.07 |
Intercept |
1.463 |
0.036 |
<0.001 |
|||||
Model |
3 |
0.084 |
0.028 |
1.834 |
0.148 |
Tr |
0.032 |
0.014 |
0.025 |
|
Error |
75 |
1.149 |
0.015 |
Ps |
0.000 |
0.000 |
0.629 |
|||
C. Total |
78 |
1.234 |
Tr × Ps |
0.000 |
0.000 |
0.934 |
||||
Total |
R2 = 0.04 |
Intercept |
1.406 |
0.038 |
<0.001 |
|||||
Model |
3 |
0.057 |
0.019 |
1.078 |
0.364 |
Tr |
0.017 |
0.015 |
0.268 |
|
Error |
75 |
1.316 |
0.018 |
Ps |
0.000 |
0.000 |
0.170 |
|||
C. Total |
78 |
1.372 |
Tr × Ps |
0.000 |
0.000 |
0.844 |
||||
Heterogeneity |
R2 = 0.11 |
Intercept |
3.699 |
0.066 |
<0.001 |
|||||
Model |
3 |
0.484 |
0.161 |
3.014 |
0.035 |
Tr |
0.076 |
0.026 |
0.004 |
|
Error |
76 |
4.072 |
0.054 |
Ps |
0.000 |
0.000 |
0.589 |
|||
C. Total |
79 |
4.556 |
Tr × Ps |
0.000 |
0.000 |
0.842 |
||||
Shrub vegetation: cover vs. winter precipitation |
||||||||||
Winter annuals |
R2 = 0.43 |
Intercept |
-0.060 |
0.048 |
0.213 |
|||||
Model |
3 |
2.039 |
0.680 |
19.234 |
<0.001 |
Tr |
0.028 |
0.021 |
0.180 |
|
Error |
76 |
2.686 |
0.035 |
Pw |
0.003 |
0.000 |
<0.001 |
|||
C. Total |
79 |
4.725 |
Tr × Pw |
0.001 |
0.000 |
0.086 |
||||
Forbs |
R2 = 0.045 |
Intercept |
0.045 |
0.120 |
0.709 |
|||||
Model |
3 |
0.692 |
0.231 |
1.032 |
0.383 |
Tr |
-0.019 |
0.053 |
0.728 |
|
Error |
75 |
16.755 |
0.223 |
Pw |
0.001 |
0.001 |
0.174 |
|||
C. Total |
78 |
17.446 |
Tr × Pw |
0.001 |
0.001 |
0.297 |
||||
Grasses |
R2 = 0.11 |
Intercept |
0.628 |
0.070 |
<0.001 |
|||||
Model |
3 |
0.686 |
0.229 |
3.024 |
0.035 |
Tr |
-0.074 |
0.031 |
0.019 |
|
Error |
76 |
5.743 |
0.076 |
Pw |
0.001 |
0.001 |
0.082 |
|||
C. Total |
79 |
6.429 |
Tr × Pw |
0.000 |
0.001 |
0.686 |
||||
Shrubs |
R2 = 0.07 |
Intercept |
1.492 |
0.032 |
<0.001 |
|||||
Model |
3 |
0.085 |
0.028 |
1.844 |
0.146 |
Tr |
0.032 |
0.014 |
0.025 |
|
Error |
75 |
1.149 |
0.015 |
Pw |
0.000 |
0.000 |
0.643 |
|||
C. Total |
78 |
1.234 |
Tr × Pw |
0.000 |
0.000 |
0.823 |
||||
Total |
R2 = 0.03 |
Intercept |
1.453 |
0.034 |
<0.001 |
|||||
Model |
3 |
0.036 |
0.012 |
0.683 |
0.566 |
Tr |
0.017 |
0.015 |
0.267 |
|
Error |
75 |
1.336 |
0.018 |
Pw |
0.000 |
0.000 |
0.959 |
|||
C. Total |
78 |
1.372 |
Tr × Pw |
0.000 |
0.000 |
0.375 |
||||
Heterogeneity |
R2 = 0.21 |
Intercept |
3.889 |
0.055 |
<0.001 |
|||||
Model |
3 |
0.941 |
0.314 |
6.592 |
0.001 |
Tr |
0.076 |
0.024 |
0.003 |
|
Error |
76 |
3.615 |
0.048 |
Pw |
-0.002 |
0.000 |
0.002 |
|||
C. Total |
79 |
4.556 |
Tr × Pw |
0.000 |
0.000 |
0.814 |
||||
Shrub vegetation: species richness vs. summer precipitation |
||||||||||
Summer annuals |
R2 = 0.025 |
Intercept |
0.149 |
0.029 |
<0.001 |
|||||
Model |
3 |
0.020 |
0.007 |
0.648 |
0.587 |
Tr |
0.007 |
0.011 |
0.546 |
|
Error |
76 |
0.797 |
0.010 |
Ps |
0.000 |
0.000 |
0.216 |
|||
C. Total |
79 |
0.817 |
Tr × Ps |
0.000 |
0.000 |
0.883 |
||||
Forbs |
R2 < 0.01 |
Intercept |
1.348 |
0.247 |
<0.001 |
|||||
Model |
3 |
0.117 |
0.039 |
0.052 |
0.984 |
Tr |
0.030 |
0.097 |
0.754 |
|
Error |
76 |
56.692 |
0.746 |
Ps |
0.000 |
0.002 |
0.855 |
|||
C. Total |
79 |
56.808 |
Tr × Ps |
0.000 |
0.002 |
0.877 |
||||
Grasses |
R2 = 0.03 |
Intercept |
0.844 |
0.097 |
<0.001 |
|||||
Model |
3 |
0.268 |
0.089 |
0.774 |
0.512 |
Tr |
-0.044 |
0.038 |
0.249 |
|
Error |
76 |
8.754 |
0.115 |
Ps |
0.001 |
0.001 |
0.354 |
|||
C. Total |
79 |
9.021 |
Tr × Ps |
0.000 |
0.001 |
0.752 |
||||
Shrubs |
R2 = <0.01 |
Intercept |
0.889 |
0.065 |
<0.001 |
|||||
Model |
3 |
0.031 |
0.010 |
0.200 |
0.896 |
Tr |
-0.014 |
0.025 |
0.577 |
|
Error |
76 |
3.880 |
0.051 |
Ps |
0.000 |
0.000 |
0.664 |
|||
C. Total |
79 |
3.911 |
Tr × Ps |
0.000 |
0.000 |
0.757 |
||||
Total |
R2 < 0.01 |
Intercept |
3.081 |
0.281 |
<0.001 |
|||||
Model |
3 |
0.138 |
0.046 |
0.047 |
0.986 |
Tr |
-0.028 |
0.110 |
0.800 |
|
Error |
76 |
73.499 |
0.967 |
Ps |
0.001 |
0.002 |
0.795 |
|||
C. Total |
79 |
73.637 |
Tr × Ps |
0.000 |
0.002 |
0.922 |
||||
Shrub vegetation: species richness vs. winter rainfall |
||||||||||
Winter annuals |
R2 = 0.43 |
Intercept |
-0.060 |
0.048 |
0.213 |
|||||
Model |
3 |
2.039 |
0.680 |
19.234 |
<0.001 |
Tr |
0.028 |
0.021 |
0.180 |
|
Error |
76 |
2.686 |
0.035 |
Pw |
0.003 |
0.000 |
<0.001 |
|||
C. Total |
79 |
4.725 |
Tr × Pw |
0.001 |
0.000 |
0.086 |
||||
Forbs |
R2 = 0.21 |
Intercept |
0.528 |
0.195 |
0.009 |
|||||
Model |
3 |
11.835 |
3.945 |
6.666 |
0.001 |
Tr |
0.030 |
0.086 |
0.725 |
|
Error |
76 |
44.974 |
0.592 |
Pw |
0.008 |
0.002 |
<0.001 |
|||
C. Total |
79 |
56.808 |
Tr × Pw |
0.001 |
0.002 |
0.739 |
||||
Grasses |
R2 = 0.02 |
Intercept |
0.935 |
0.087 |
<0.001 |
|||||
Model |
3 |
0.173 |
0.058 |
0.495 |
0.687 |
Tr |
-0.044 |
0.038 |
0.251 |
|
Error |
76 |
8.849 |
0.116 |
Pw |
0.000 |
0.001 |
0.918 |
|||
C. Total |
79 |
9.021 |
Tr × Pw |
0.000 |
0.001 |
0.713 |
||||
Shrubs |
R2 = 0.04 |
Intercept |
0.826 |
0.056 |
<0.001 |
|||||
Model |
3 |
0.173 |
0.058 |
1.173 |
0.326 |
Tr |
-0.014 |
0.025 |
0.570 |
|
Error |
76 |
3.738 |
0.049 |
Pw |
0.001 |
0.001 |
0.080 |
|||
C. Total |
79 |
3.911 |
Tr × Pw |
0.000 |
0.001 |
0.827 |
||||
Total |
R2 = 0.19 |
0.19 |
Intercept |
2.289 |
0.224 |
<0.001 |
||||
Model |
3 |
14.342 |
4.781 |
6.127 |
0.001 |
Tr |
-0.028 |
0.099 |
0.778 |
|
Error |
76 |
59.295 |
0.780 |
Pw |
0.009 |
0.002 |
<0.001 |
|||
C. Total |
79 |
73.637 |
Tr × Pw |
0.000 |
0.002 |
0.926 |
||||
Grass vegetation: cover vs. summer precipitation |
||||||||||
Summer annuals |
R2 = 0.27 |
Intercept |
-0.029 |
0.111 |
0.796 |
|||||
Model |
3 |
4.478 |
1.493 |
9.259 |
<0.001 |
Tr |
0.035 |
0.045 |
0.433 |
|
Error |
76 |
12.253 |
0.161 |
Ps |
0.003 |
0.001 |
<0.001 |
|||
C. Total |
79 |
16.731 |
Tr × Ps |
0.000 |
0.001 |
0.589 |
||||
Forbs |
R2 = 0.18 |
Intercept |
-0.143 |
0.151 |
0.349 |
|||||
Model |
3 |
5.062 |
1.687 |
5.611 |
0.002 |
Tr |
-0.002 |
0.061 |
0.969 |
|
Error |
76 |
22.855 |
0.301 |
Ps |
0.004 |
0.001 |
0.000 |
|||
C. Total |
79 |
27.917 |
Tr × Ps |
0.000 |
0.001 |
0.935 |
||||
Grasses |
R2 = 0.19 |
Intercept |
1.420 |
0.030 |
<0.001 |
|||||
Model |
3 |
0.210 |
0.070 |
5.941 |
0.001 |
Tr |
0.007 |
0.012 |
0.549 |
|
Error |
76 |
0.897 |
0.012 |
Ps |
0.001 |
0.000 |
<0.001 |
|||
C. Total |
79 |
1.107 |
Tr × Ps |
0.000 |
0.000 |
0.887 |
||||
Shrubs |
R2 = 0.07 |
Intercept |
0.410 |
0.094 |
<0.001 |
|||||
Model |
3 |
0.623 |
0.208 |
1.806 |
0.153 |
Tr |
-0.086 |
0.038 |
0.027 |
|
Error |
76 |
8.745 |
0.115 |
Ps |
0.000 |
0.001 |
0.819 |
|||
C. Total |
79 |
9.369 |
Tr × Ps |
0.000 |
0.001 |
0.617 |
||||
Total |
R2 = 0.28 |
Intercept |
1.447 |
0.034 |
||||||