Equations / Stem volume
Cerrado s.s. MG, Stem volume without bark, Spurr log, SF 1, 2, 3, 4 sub-basins (region 1)
Stem volumeCerrado sensu stricto tree species (mixed)BrazilnaturalRead from the original paper
Many species, no single photo
Equation
As printed (Table 1 (selected equations by region))
Ln(VFsc) = -9,5082535905 + 0,8583409257 * Ln((Dap^2) * H)
In this library's units, ready to compute (m³)
Stem volume = exp(-9.5082535905 + 0.8583409257 * ln(D^2 * 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'). Stem volume ('fuste') excludes branches.
Source
doi:10.1590/s0104-77602010000100001 · Open access · copy we read
157 árvores para a região 1
- Trees measured
- 157
- R²
- 0.9206
- Method
- log-transformed linear regression (Spurr 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
Calculate
Height from
0.003
Stem 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 | 0.00302 | 0.00302 | Computed from the printed form hand-computed from the published form (coefficients as printed) |
| D = 10, H = 5 | 0.0154 | 0.0154 | Computed from the printed form hand-computed from the published form (coefficients as printed) |
| D = 20, H = 8 | 0.0757 | 0.0757 | Computed from the printed form hand-computed from the published form (coefficients as printed) |
Related
- Cerrado s.s. MG, Stem 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, Stem 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, Stem volume with bark, Schumacher-Hall log, SF 5, 6, 10 sub-basins (region 2) · Rufini et al. 2010 · DBH + Height
- Cerrado s.s. MG, Stem volume without bark, Schumacher-Hall log, SF 5, 6, 10 sub-basins (region 2) · Rufini et al. 2010 · DBH + Height
- Cerrado s.s. MG, Stem volume with bark, Schumacher-Hall log, regions 2 and 3 pooled · Rufini et al. 2010 · DBH + Height
- Cerrado s.s. MG, Stem volume without bark, Schumacher-Hall log, regions 2 and 3 pooled · Rufini et al. 2010 · DBH + Height
- Cerrado s.s. MG, Stem volume with bark, Schumacher-Hall log, SF 7, 8, 9 sub-basins (region 3) · Rufini et al. 2010 · DBH + Height
- Cerrado s.s. MG, Stem volume without bark, Schumacher-Hall log, SF 7, 8, 9 sub-basins (region 3) · 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