Tree Allometrics

Equations / Total volume

Total tree volume from DBH (Eq. 8)

Total volumeSeven dominant canopy species (Carapa guianensis, Inga coruscans, Laetia procera, Pentaclethra macroloba, Stryphnodendron microstachyum, Tapirira guianensis, Vochysia ferruginea)Costa RicanaturalRead from the original paper
Many species, no single photo
Equation

As printed (Table 4, Eq. 8)

ln V tot = c + a ln DBH; c −7.15 ± 1.07; a 2.15 ± 0.24

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

Total volume = exp(-7.15 + 2.15 * ln(D))
D
Diameter at breast height (1.3 m), cm

No back-transform correction factor is stated, so none is applied. Only trees with DBH ≥ 60 cm were harvested; the authors warn the models tend to overestimate outside 60-105 cm. Total volume = stem plus large and small branches. Adjusted R2 0.81.

Source
19 individual trees were measured before harvest
Trees measured · Methods, p. 3
adjusted well in the interval of diameters sampled (60–105 cm)
Largest DBH · Discussion, p. 7
Trees measured
19
DBH range
60–105 cm
R²
0.81
Method
Least-squares regression (SAS), r2 is the adjusted coefficient of determination
Where
Tirimbina (Sarapiquí) and Corinto (Guápiles), northern Costa Rica
Last checked
2026-11-02
Calculate
9.693
Total volume (m³)
Fitted DBH range0102030405020406080100120140160DBH (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 = 809.699.69Computed from the printed form
computed from the printed coefficients

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