Table 3 Simulation results, maximum displacement 3m
From: Can plasticity make spatial structure irrelevant in individual-tree models?
Flat efficiency | Decreasing efficiency | ||||||||
|---|---|---|---|---|---|---|---|---|---|
Plasticity | a=1 | a=2 | a=1 | a=2 | |||||
α→∞ | α=1 | α→∞ | α=1 | α→∞ | α=1 | α→∞ | α=1 | ||
Jack pine | |||||||||
Regression R2 | No | 0.61 | 0.66 | 0.55 | 0.47 | 0.68 | 0.67 | 0.60 | 0.48 |
Yes | 0.94 | 0.94 | 0.88 | 0.79 | 0.96 | 0.94 | 0.93 | 0.82 | |
Residual S.E. | No | 3.5 | 2.3 | 2.7 | 2.2 | 1.8 | 1.0 | 1.6 | 1.2 |
Yes | 1.1 | 0.8 | 1.2 | 1.3 | 0.6 | 0.4 | 0.6 | 0.8 | |
Clark-Evans index | No | 0.8 | 0.8 | 0.8 | 0.8 | 0.8 | 0.8 | 0.8 | 0.8 |
Yes | 1.3 | 1.1 | 1.4 | 1.4 | 1.3 | 1.1 | 1.4 | 1.4 | |
Assimilation / m 2 | No | 0.64 | 0.64 | 0.58 | 0.58 | 0.41 | 0.30 | 0.41 | 0.35 |
Yes | 0.69 | 0.67 | 0.68 | 0.68 | 0.49 | 0.33 | 0.52 | 0.45 | |
Assimilation / tree | No | 7.3 | 7.4 | 6.7 | 6.7 | 4.8 | 3.4 | 4.7 | 4.0 |
Yes | 7.9 | 7.7 | 7.9 | 7.8 | 5.6 | 3.8 | 6.0 | 5.2 | |
% with assim. 0 | No | 12.3 | 0.0 | 4.6 | 0.0 | 12.3 | 0.0 | 4.6 | 0.0 |
Yes | 4.2 | 0.0 | 1.9 | 0.0 | 4.6 | 0.0 | 1.1 | 0.0 | |
Mean displacement (m) | Yes | 1.7 | 1.6 | 1.7 | 1.6 | 1.6 | 1.5 | 1.7 | 1.6 |
% at disp. bound | Yes | 52 | 48 | 57 | 50 | 52 | 43 | 54 | 51 |
Iterations | Yes | 46 | 43 | 41 | 40 | 41 | 37 | 51 | 45 |
Trembling aspen | |||||||||
Regression R2 | No | 0.66 | 0.86 | 0.48 | 0.47 | 0.67 | 0.87 | 0.49 | 0.43 |
Yes | 0.91 | 0.90 | 0.92 | 0.79 | 0.95 | 0.94 | 0.95 | 0.84 | |
Residual S.E. | No | 5.4 | 1.5 | 4.6 | 2.7 | 4.0 | 0.7 | 3.5 | 1.8 |
Yes | 2.8 | 1.2 | 1.6 | 1.3 | 1.7 | 0.5 | 1.0 | 0.7 | |
Clark-Evans index | No | 0.8 | 0.8 | 0.8 | 0.8 | 0.8 | 0.8 | 0.8 | 0.8 |
Yes | 1.3 | 0.8 | 1.4 | 1.1 | 1.3 | 0.8 | 1.4 | 1.0 | |
Assimilation / m 2 | No | 0.66 | 0.68 | 0.65 | 0.65 | 0.53 | 0.33 | 0.54 | 0.42 |
Yes | 0.71 | 0.71 | 0.70 | 0.69 | 0.59 | 0.36 | 0.62 | 0.46 | |
Assimilation / tree | No | 9.8 | 10.0 | 9.7 | 9.7 | 7.8 | 4.9 | 8.0 | 6.2 |
Yes | 10.5 | 10.6 | 10.5 | 10.3 | 8.7 | 5.3 | 9.2 | 6.9 | |
% with assim. 0 | No | 11.9 | 0.0 | 3.5 | 0.0 | 11.9 | 0.0 | 3.5 | 0.0 |
Yes | 3.5 | 0.0 | 1.0 | 0.0 | 4.0 | 0.0 | 1.0 | 0.0 | |
Mean displacement (m) | Yes | 1.9 | 1.7 | 1.8 | 1.7 | 1.9 | 1.8 | 1.8 | 1.7 |
% at disp. bound | Yes | 19 | 24 | 19 | 15 | 20 | 24 | 21 | 13 |
Iterations | Yes | 35 | 49 | 45 | 38 | 53 | 62 | 60 | 42 |
Black spruce | |||||||||
Regression R2 | No | 0.61 | 0.63 | 0.57 | 0.46 | 0.70 | 0.64 | 0.63 | 0.48 |
Yes | 0.94 | 0.92 | 0.92 | 0.85 | 0.96 | 0.93 | 0.93 | 0.89 | |
Residual S.E. | No | 1.50 | 1.05 | 1.19 | 0.98 | 0.74 | 0.46 | 0.74 | 0.57 |
Yes | 0.55 | 0.43 | 0.47 | 0.44 | 0.26 | 0.20 | 0.34 | 0.26 | |
Clark-Evans index | No | 0.7 | 0.7 | 0.7 | 0.7 | 0.7 | 0.7 | 0.7 | 0.7 |
Yes | 1.1 | 1.1 | 1.2 | 1.2 | 1.1 | 1.1 | 1.2 | 1.1 | |
Assimilation / m 2 | No | 0.65 | 0.65 | 0.60 | 0.60 | 0.40 | 0.29 | 0.43 | 0.36 |
Yes | 0.73 | 0.71 | 0.73 | 0.72 | 0.50 | 0.36 | 0.58 | 0.48 | |
Assimilation / tree | No | 1.9 | 1.9 | 1.7 | 1.7 | 1.2 | 0.9 | 1.2 | 1.0 |
Yes | 2.1 | 2.1 | 2.1 | 2.1 | 1.5 | 1.0 | 1.7 | 1.4 | |
% with assim. 0 | No | 34 | 0 | 24 | 0 | 34 | 0 | 24 | 0 |
Yes | 20 | 0 | 17 | 0 | 21 | 0 | 18 | 0 | |
Mean displacement (m) | Yes | 1.0 | 1.2 | 1.1 | 1.2 | 1.0 | 1.1 | 1.1 | 1.3 |
% at disp. bound | Yes | 44 | 49 | 52 | 55 | 45 | 45 | 48 | 59 |
Iterations | Yes | 55 | 42 | 57 | 36 | 56 | 41 | 50 | 61 |