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Table 3 Estimated parameters and fitting statistics obtained for the local model with and without mixed effects for the groups of species considered

From: Local and generalized height-diameter models with random parameters for mixed, uneven-aged forests in Northwestern Durango, Mexico

Species Equation Fitting method Parameters Statistics
b 0 b 1 b 2 σ 2 u σ 2 v σ uv R 2 RMSE Bias BIC
Pinus species (7) ONLS 34.9600 0.0223 1.0148     0.73 2.95 0.004 8749.7
(10) NLMIXED 28.6890 0.0357 1.1148 47.9289 0.0002 −0.0849 0.85 2.21 0.005 6461.0
Quercus species (7) ONLS 21.1250 0.0240 0.9666     0.48 3.03 0.005 4021.3
(11) NLMIXED 16.2456 0.0317 0.9971 20.8757    0.71 2.25 0.014 2955.0
Other conifer species (7) ONLS 24.4720 0.0094* 0.6691     0.69 1.62 0.002 197.1
(11) NLMIXED 134.2700 0.0004 0.6062 115.6000    0.75 1.46 −0.013 170.8
Other broadleaf species (7) ONLS 24.8375* 0.0085* 0.7489     0.66 1.35 −0.002 197.8
(11) NLMIXED 94.3893 0.0005 0.6086 130.9100    0.79 1.07 −0.015 70.0
  1. ONLS = fitted by ordinary least squares, NLMIXED = fitted by non-linear mixed effects; *estimated parameters not significant at the 0.05 level.