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Table 4 Estimated parameters and fitting statistics obtained for the generalized 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 b 3 b 4 σ 2 u R 2 RMSE Bias BIC
Pinus species (8) ONLS 4.4250 0.6125 0.0392 1.5073 −0.0847   0.82 2.41 −0.013 7141.6
(12) NLMIXED 4.1798 0.6330 0.0398 1.8370 −0.1428 0.1150 0.84 2.29 −0.011 6730.5
Quercus species (8) ONLS 1.1200 0.9694 0.0363 2.8325 −0.2697   0.66 2.45 0.031 3267.4
(13) NLMIXED 1.0046 0.9804 0.0375 2.5189 −0.2482 0.0017 0.72 2.23 −0.019 2941.0
Other conifer species (9) ONLS 1.2830 0.0002 −0.1036     0.64 1.74 0.118 224.5
(14) NLMIXED 1.2923 0.0231 −0.1038    0.0018 0.74 1.49 0.029 177.1
Other broadleaf species (9) ONLS 1.3120 0.0001 −0.1634     0.63 1.41 −0.011 226.0
(15) NLMIXED 1.1986 0.0017 −0.1352    0.0027 0.79 1.06 −0.094 63.8
  1. ONLS = fitted by ordinary least squares, NLMIXED = fitted by non-linear mixed effects.