Equations / Total volume
Cerrado s.s. MG, Total volume without bark, Schumacher-Hall log, SF 1, 2, 3, 4 sub-basins (region 1)
As printed (Table 1 (selected equations by region))
In this library's units, ready to compute (m³)
Total volume = exp(-10.3656695589 + 2.302243921 * ln(D) + 0.8242241035 * ln(H))D- Diameter at breast height (1.3 m), cm
H- Total tree height, m
Dap, H and volume units are not spelled out beside the model; read as Dap in cm (derived from girth in cm at 1.30 m), total height H in m, volume in m3 (Table headings give Syx in m3); magnitudes are consistent with these units. No back-transformation correction factor is stated, so none is applied. R2 printed as a percentage. Volume without bark ('sem casca'). Total volume includes stem and branches down to 3 cm diameter. Table 2 (combination 1, region 1 alone) prints this same model with slightly different coefficients (-10,3522044532 + 2,2930636383 * Ln(Dap) + 0,8312726915 * Ln(H), R2 98,44%); the Table 1 values are kept here. The two differ by under 1% in predicted volume.
doi:10.1590/s0104-77602010000100001 · Open access · copy we read
157 árvores para a região 1
- Trees measured
- 157
- R²
- 0.9848
- Method
- log-transformed linear regression (Schumacher-Hall log) on Huber rigorous cubing data
- Where
- Minas Gerais, Sao Francisco river basin, SF 1, 2, 3, 4 sub-basins (region 1)
- Last checked
- 2026-11-02
Shaded: the DBH range the model was fitted on. Other inputs held at the values above.
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 | 0.00317 | 0.00317 | Computed from the printed form hand-computed from the published form (coefficients as printed) |
| D = 10, H = 5 | 0.0238 | 0.0238 | 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 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
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- 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, 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
- Cerrado s.s. MG, Stem volume with bark, Schumacher-Hall log, regions 2 and 3 pooled · same paper · Stem volume