Table 2 Parameter estimates and model fit criteria for ten different height-diameter (H-D) models
Model | a | b | c | d | AICc | R2 | RMSE | 95% CI of asymptotic height |
|---|---|---|---|---|---|---|---|---|
Michaelis-Menten | 51.1 | 42.3 | --a | -- | 112.4 | 0.795 | 2.24 | 33.8 – 68.5 |
Power law | 1.98 | 0.70 | -- | -- | 114.3 | 0.790 | 2.27 | -- |
Gompertz | 24.9 | 0.84 | 0.09 | -- | 114.4 | 0.796 | 2.25 | 20.0–29.8 |
Chapman-Richard | 30.0 | 0.04 | 1.07 | -- | 114.5 | 0.796 | 2.25 | 13.5–46.5 |
Monomolecular | 31.3 | 0.04 | 0.17 | -- | 114.5 | 0.796 | 2.25 | 18.2–44.4 |
Exponential | 31.3 | 31.52 | 0.04 | -- | 114.5 | 0.796 | 2.25 | 18.2–44.4 |
Logistic | 23.1 | 1.72 | 0.13 | -- | 114.9 | 0.795 | 2.26 | 19.8–26.3 |
Weibull | 25.5 | 23.40 | 0.02 | 1.34 | 116.6 | 0.797 | 2.27 | 11.2–39.9 |
Richardb | 24.8 | −2.12 | 0.09 | 0.05 | 116.8 | 0.796 | 2.27 | 14.0–35.5 |
Hyperbolic | 20.9 | −84.9 | -- | -- | 159.7 | 0.585 | 3.19 | 19.5–22.3 |