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Table 2 Comparison of statistics for different height-diameter-models including a base model with only age effects (h.ref), the unconstrained additive model (h1), unconstrained additive model with varying coefficients (h2), shape constrained additive model (h3), shape constrained additive model with varying coefficients (h4), additive model with concavity constraints (h5). For all models the result of dropping single model effects on different model statistics are presented

From: Incorporating shape constraints in generalized additive modelling of the height-diameter relationship for Norway spruce

Model adj r 2 GCV AIC.diff.perc
h.ref .885 7.309 0
h1 .909 5.798 4.79
h1 −f 2a .907 5.883 4.49
h1 −f 3a .908 5.846 4.63
h1 −f 4a .908 5.842 4.64
h1 −f 5a .908 5.848 4.62
h1 −f 6a .900 6.324 2.99
h2 .909 5.784 4.85
h2 −f 2a .908 5.87 4.54
h2 −f 3a .908 5.832 4.68
h2 −f 4a .908 5.83 4.68
h2 −f 5a .908 5.837 4.66
h2 −f 6a .901 6.311 3.04
h2 −f 1b .907 5.916 4.38
h2 −f 2b .909 5.811 4.75
h3 .909 5.805 4.77
h3 −m 2a .907 5.887 4.48
h3 −m 3a .908 5.851 4.61
h3 −m 4a .901 6.290 3.11
h3 −m 5a .908 5.866 4.55
h3 −f 6a .901 6.316 3.02
h4 .909 5.778 4.87
h4 −m 2a .908 5.867 4.55
h4 −m 3a .909 5.812 4.75
h4 −m 4a .902 6.2582 3.21
h4 −m 5a .908 5.838 4.66
h4 −f 6a .899 6.382 2.81
h4 −m 1b .907 5.895 4.45
h4 −m 2b .907 5.914 4.39
h5 .907 5.877 4.52
h5 −m 2a .906 5.93 4.33
h5 −m 3a .907 5.865 4.56
h5 −m c4a .901 6.302 3.07
h5 −m c5a .907 5.860 4.58
h5 −f 6a .900 6.406 2.73
h5 −m 1b .906 5.96 4.22
h5 −m 2b .908 5.86 4.58