Equations / Total volume
Cerrado total volume with bark from DBH only, Goal Programming (model 4)
Total volumeCerrado sensu stricto and campo cerrado woody species (99 species)BrazilnaturalRead from the original paper
Many species, no single photo
Equation
As printed (Eq. 2, p. 232)
Ln (Yi) = B0+ B1Ln(X1i) ± Ln(Ɛi)
In this library's units, ready to compute (m³)
Total volume = exp(-9.56819 + 2.69739 * ln(D))D- Diameter at breast height (1.3 m), cm
Natural-log model as printed; the paper states no back-transformation correction factor, so none is applied. Volume is total volume with bark. Ht is total height. R² is the adjusted R² from the OLS rows (the paper leaves it blank for GP). The 868 trees were split into 696 for fitting and 172 for validation.
Source
doi:10.1590/s1413-70542014000300002 · Open access · copy we read
Total volume with bark, model 4, GP: β0 -9.56819; β1 2.69739
DBH (1.30 meters from the soil)
adjustment data used for model adjustment [696 trees]
- Trees measured
- 696
- Method
- Goal Programming (lpsolve simplex) on ln-transformed Schumacher-Hall model
- Where
- 20 forest fragments, Minas Gerais (Inventário Florestal de Minas Gerais)
- Last checked
- 2026-11-02
Calculate
0.0348
Total volume (m³)
Shaded: the DBH range the model was fitted on. Other inputs held at the values above.
Checks this equation passes
On every build, the library's form and the paper's own form (in its units) must both give these values within 1%.
| Inputs | Expected | We get | From |
|---|---|---|---|
| D = 10 | 0.0348 | 0.0348 | Computed from the printed form computed from the Table 2 coefficients |
| D = 20 | 0.226 | 0.226 | Computed from the printed form computed from the Table 2 coefficients |
Related
- Cerrado total volume with bark from DBH and height, Goal Programming (model 1) · Morais et al. 2014 · DBH + Height
- Cerrado total volume with bark from DBH and height, OLS (model 1) · Morais et al. 2014 · DBH + Height
- Cerrado total volume with bark from DBH only, OLS (model 4) · Morais et al. 2014 · DBH
- Cerrado total volume with bark from DBH and height, Goal Programming (model 1) · same paper · Total volume
- Cerrado total volume with bark from DBH and height, OLS (model 1) · same paper · Total volume
- Cerrado total volume with bark from DBH only, OLS (model 4) · same paper · Total volume