Article 10309 Table 7

Table 7. Summary of Yield Models A, B and C.

Parameter

Model A

Model B

Model C

Dominant Height Unit: m

Hd = 27.00445 × (1 – Exp(–0.13794 × t))^0.91678
N = 2634, R²= 0.858, Bias = 0.008, RMSE = 2.151
→ Dominant height curve: Hd = SI20 × ((1 – Exp(–0.13794 × t)) / (1 – Exp(–0.13794 × t)))^0.91678
→ Site Index: SI20 = Hd × ((1 – Exp(–0.13794 × 20)) / (1 – Exp(–0.13794 × t)))^0.91678

Mean Height Unit: m

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H = Exp(–0.23378 + 1.06784 × Ln(Hd))
N = 2634, R²= n/a, Bias = 0.004, RMSE = 0.544

Mean Diameter Unit: cm

N = 2634, R²= 0.912, Bias = 0.035, RMSE = 2.165

D = Exp(0.88996 + 0.13238 × Ln(t) – 0.09009 × Ln(N) + 0.81670 × Ln(Hd))
N = 2634, R²= n/a, Bias = 0.052, RMSE = 1.942

Max Diameter Unit: cm

Dmax = Exp(0.03871 + 0.02760 × Ln(t) + 0.04677 × Ln(N) + 0.93499 × (Ln(D))
N = 2634, R²= n/a, Bias = 0.045, RMSE = 1.314

Dmax = Exp(0.05253 – 0.01255 × Ln(Hd) + 0.04009 × Ln(N)+0.97489 × Ln(D))
N = 2634, R²= n/a, Bias = 0.048, RMSE = 1.326

Basal Area Unit: m² ha^–1

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G = Exp(–9.75792 + 1.01342 × Ln(N) + 2.06088 × Ln(D))
N = 2634, R²= n/a, Bias = –0.017, RMSE = 0.315

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Volume Unit: m³ ha^–1

V = 0.29790 + 0.000017 × (D × Hd × N) + 0.00003 × (D2 × Hd × N)
N = 2634, R²= 0.994, Bias = 0.000, RMSE = 4.140

V = Exp(2.98144 – 0.25922 × Ln(N) + 1.27955 × Ln(G))
N = 2634, R²= n/a, Bias = 0.593, RMSE = 9.444

V = Exp(–9.67784 + 0.94275 × Ln(Hd) + 1.01099 × Ln(N) + 1.84026 × Ln(D))
N = 2634, R²= n/a, Bias = –0.154, RMSE = 4.151

Tree Height Unit: m

N=58036, R²=0.924, Bias=0.056, RMSE=2.034

Weibull scale

Scale = –0.12556 + 1.02781 × D

N = 300, R²= 1.000, Bias = –0.000, RMSE = 0.146

Weibull shape

Shape = Exp(–2.37613 + 5.52285 × (D / Dmax))

N = 300, R²= 0.736, Bias = 0.136, RMSE = 1.510

D = stand mean diameter (cm); D_max= stand maximum diameter (cm); G = stand basal area (m² ha^–1); H = stand mean height (m); Hd = stand dominant height (m); N = stocking (trees ha^–1); V = stand total stem volume (m ha^–1); SI20 = stand dominant height at base age of 20 years (m); t = age; d = tree diameter at 1.3 m above the stump (cm); h = tree stem height (m).