Equations / Total volume
Cerrado s.s. MG, Total volume without bark, Schumacher-Hall log, regions 2 and 3 pooled
Total volumeCerrado sensu stricto tree species (mixed)BrazilnaturalRead from the original paper
Many species, no single photo
Equation
As printed (Table 2, combination 23)
Ln(VTsc) = -10,1851313632 + 2,364187701 * Ln(Dap) + 0,6489733199 * Ln(H)
In this library's units, ready to compute (m³)
Total volume = exp(-10.1851313632 + 2.364187701 * ln(D) + 0.6489733199 * ln(H))D- Diameter at breast height (1.3 m), cm
H- Total tree height, m
Pooled fit for regions 2 and 3 after the Graybill identity test found them similar. n for the pooled fit is not printed and is left out. Dap, H and volume units are not spelled out beside the model; read as Dap in cm, H in m, volume in m3 (consistent magnitudes). No back-transformation correction factor is stated, so none is applied. R2 printed as a percentage.
Source
doi:10.1590/s0104-77602010000100001 · Open access · copy we read
98,53 (R2 %)
- R²
- 0.9853
- Method
- log-transformed linear regression (Schumacher-Hall log) on pooled Huber rigorous cubing data, regions 2 and 3 (identity test accepted)
- Where
- Minas Gerais, Sao Francisco river basin, SF 5, 6, 10 and SF 7, 8, 9 sub-basins (regions 2 and 3 pooled)
- Last checked
- 2026-11-02
Calculate
Height from
0.00346
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 = 5, H = 3 | 0.00346 | 0.00346 | Computed from the printed form hand-computed from the published form (coefficients as printed) |
| D = 10, H = 5 | 0.0248 | 0.0248 | Computed from the printed form hand-computed from the published form (coefficients as printed) |
| D = 20, H = 8 | 0.173 | 0.173 | Computed from the printed form hand-computed from the published form (coefficients as printed) |
Related
- Cerrado s.s. MG, Total volume with bark, Schumacher-Hall log, SF 1, 2, 3, 4 sub-basins (region 1) · Rufini et al. 2010 · DBH + Height
- Cerrado s.s. MG, Total volume without bark, Schumacher-Hall log, SF 1, 2, 3, 4 sub-basins (region 1) · Rufini et al. 2010 · DBH + Height
- Cerrado s.s. MG, Total volume with bark, Schumacher-Hall log, SF 5, 6, 10 sub-basins (region 2) · Rufini et al. 2010 · DBH + Height
- Cerrado s.s. MG, Total volume without bark, Schumacher-Hall log, SF 5, 6, 10 sub-basins (region 2) · Rufini et al. 2010 · DBH + Height
- Cerrado s.s. MG, Total volume with bark, Schumacher-Hall log, regions 2 and 3 pooled · Rufini et al. 2010 · DBH + Height
- Cerrado s.s. MG, Total volume with bark, Schumacher-Hall log, SF 7, 8, 9 sub-basins (region 3) · Rufini et al. 2010 · DBH + Height
- Cerrado s.s. MG, Total volume without bark, Schumacher-Hall log, SF 7, 8, 9 sub-basins (region 3) · Rufini et al. 2010 · DBH + Height
- Cerrado s.s. MG, Total volume with bark, Spurr log, SF 1, 2, 3, 4 sub-basins (region 1) · Rufini et al. 2010 · DBH + Height
- Cerrado s.s. MG, Stem volume with bark, Schumacher-Hall log, SF 1, 2, 3, 4 sub-basins (region 1) · same paper · Stem volume
- Cerrado s.s. MG, Stem volume without bark, Schumacher-Hall log, SF 1, 2, 3, 4 sub-basins (region 1) · same paper · Stem volume
- Cerrado s.s. MG, Total volume with bark, Schumacher-Hall log, SF 1, 2, 3, 4 sub-basins (region 1) · same paper · Total volume
- Cerrado s.s. MG, Total volume without bark, Schumacher-Hall log, SF 1, 2, 3, 4 sub-basins (region 1) · same paper · Total volume
- Cerrado s.s. MG, Stem volume with bark, Schumacher-Hall log, SF 5, 6, 10 sub-basins (region 2) · same paper · Stem volume
- Cerrado s.s. MG, Stem volume without bark, Schumacher-Hall log, SF 5, 6, 10 sub-basins (region 2) · same paper · Stem volume
- Cerrado s.s. MG, Total volume with bark, Schumacher-Hall log, SF 5, 6, 10 sub-basins (region 2) · same paper · Total volume
- Cerrado s.s. MG, Total volume without bark, Schumacher-Hall log, SF 5, 6, 10 sub-basins (region 2) · same paper · Total volume