Tree Allometrics

Equations / Total volume

Cerrado s.s. MG, Total volume without bark, Spurr log, SF 1, 2, 3, 4 sub-basins (region 1)

Total 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(VTsc) = -10,5266416714 + 1,0776947252 * Ln((Dap^2) * H)

In this library's units, ready to compute (m³)

Total volume = exp(-10.5266416714 + 1.0776947252 * 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'). Total volume includes stem and branches down to 3 cm diameter.

Source
157 árvores para a região 1
Trees measured · 2.2 Base de dados, p. 2
Trees measured
157
R²
0.9823
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
Total volume (m³)
00.050.10.150.20.25510152025303540DBH (cm)Total volume (m³)Total volume

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%.

InputsExpectedWe getFrom
D = 5, H = 30.002810.00281Computed from the printed form
hand-computed from the published form (coefficients as printed)
D = 10, H = 50.02170.0217Computed from the printed form
hand-computed from the published form (coefficients as printed)
D = 20, H = 80.1610.161Computed from the printed form
hand-computed from the published form (coefficients as printed)

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