Comparison of nonlinear mixed effects models for five functional forms. Floristic (angiosperm/gymnosperm) and functional (evergreen/deciduous) groups were included as fixed effects and plot as a random effect. The standard deviation (SD) of each random term (a, b, and, where relevant, c) and residuals is given. AIC = Akaike's information criterion; n = number of tree individuals in each subsetted dataset
Fixed effects | |||||||||||||||
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Angiosperm n = 1,500,497 | Gymnosperm n = 1,270,306 | Evergreen n = 1,292,397 | Deciduous n = 1,478,406 | ||||||||||||
Eq. | AIC | Random | SD | a | b | c | a | b | c | a | b | c | a | b | c |
H = aDb | 15,250,159 | a | 0.42 | 2.37 | 0.53 | NA | 3.21 | 0.60 | NA | 3.25 | 0.60 | NA | 2.35 | 0.53 | NA |
b | 0.03 | ||||||||||||||
Residual | 3.79 | ||||||||||||||
MicMen | 15,218,854 | a | 2.53 | 36.82 | 25.02 | NA | 41.88 | 37.6 | NA | 41.1 | 37.13 | NA | 37.16 | 24.96 | NA |
b | 6.29 | ||||||||||||||
Residual | 3.77 | ||||||||||||||
3-par exp | 15,197,342 | a | 0.31 | 28.32 | 0.65 | −3.24 | 28.95 | 2.03 | −3.39 | 28.73 | 2.01 | −3.4 | 28.51 | 0.82 | −3.24 |
b | 0.69 | ||||||||||||||
c | 0.45 | ||||||||||||||
Residual | 3.76 | ||||||||||||||
Gompertz | 15,185,010 | a | 0.30 | 25.13 | 1.88 | 0.94 | 25.26 | 2.06 | 0.93 | 25.46 | 2.04 | 0.93 | 24.84 | 1.88 | 0.94 |
b | 0.09 | ||||||||||||||
c | 0.003 | ||||||||||||||
Residual | 3.75 | ||||||||||||||
Logistic | 15,192,597 | a | 0.48 | 23.97 | 12.98 | 9.31 | 23.97 | 15.63 | 10.51 | 24.24 | 15.46 | 10.38 | 25.53 | 12.98 | 9.33 |
b | 1.30 | ||||||||||||||
c | 0.60 | ||||||||||||||
Residual | 3.75 |