Table 2 Mathematical structure of stem volume models used to predict V s (m3) (with bark) for native tree species of three forest types in Santa Catarina, Brazil
From: Generic and specific stem volume models for three subtropical forest types in southern Brazil
No. | Volumetric model | Author |
|---|---|---|
1 | V s = β 0 + β 1(d 2 h s ) + ε | Spurr (1952) |
2 | \( {V}_s={\beta}_0+{\beta}_1{d}^2+{\beta}_{{}^2}\left({d}^2{h}_s\right)+{\beta}_{{}^3}{h}_s+\varepsilon \) | Stoate (1945) |
3 | ln V s = β 0 + β 1 ln(d 2 h s ) + ε | Spurr (1952) |
4 | ln V s = β 0 + β 1 ln d + β 2 ln h s + ε | Schumacher (1942) |
5 | V s = β 0 + β 1 d 2 + ε | Kopezky and Gehrhardt with Finger (1992) |
6 | V s = β 0 + β 1 d + β 2 d 2 + ε | Hohenadl and Krenn with Finger (1992) |
7 | \( \ln {V}_s={\beta}_0+{\beta}_1 \log d+{\beta}_2\frac{1}{d}+\varepsilon \) | Brenac with Finger (1992) |
8 | \( \ln \frac{V_s}{1000}={\beta}_0+{\beta}_1 \ln {c}^2+{\beta}_2 \ln {h}_s+\varepsilon \) | Adapted from Schumacher and Hall (1933) |
9 | \( \ln \frac{V_s}{1000}={\beta}_0+{\beta}_1 \ln {c}^2{h}_s+\varepsilon \) | Adapted from Schumacher and Hall (1933) |