Tree Allometrics

Equations / Foliage biomass

Piscidia piscipula, additive system S2 (D²H, Eq. 7-10): foliage (twigs with leaves) biomass

Foliage biomassPiscidia piscipula (L.) Sarg. · FabaceaeMexiconaturalRead from the original paper
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Equation

As printed (Eq. 9, Table 2 (S2))

Brh = e^[−β30+β31 ln(Dn² AT)] + ε3 (9); Table 2, S2 Ramillas con hojas: β30 5.14483, β31 0.790513

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

Foliage biomass = exp(-5.14483 + 0.790513 * ln(D^2 * H))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

The paper prints the intercept as a positive estimate and the model with a minus sign in front of it (e^[−β0 + ...]); applied that way. Adjusted R2 (not stored): stem 0.9821, branches 0.9769, twigs with leaves 0.8419, total 0.9931 (Table 3). Dn and AT are the paper's diameter at breast height and total height.

Source
destructivo de 17 individuos
Trees measured · Resumen / Table 1
Trees measured
17
DBH range
5.7–55 cm
Height range
8.12–21 m
Method
Additive nonlinear system of component equations fitted simultaneously by generalized method of moments (GMM)
Where
Escárcega, Campeche (selva mediana subperennifolia)
Last checked
2026-11-02
Calculate
Height from
4.928
Foliage biomass (kg)
2.316
Carbon (kg), ×0.47
8.492
CO₂e (kg), ×44/12
Fitted DBH range0246810121416510152025303540DBH (cm)Foliage biomass (kg)Foliage biomass

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 = 20.5, H = 124.934.93Computed from the printed form
computed from the published form (Table 2 coefficients, intercept with the printed minus sign)
D = 40.2, H = 17.118.918.9Computed from the printed form
computed from the published form (Table 2 coefficients, intercept with the printed minus sign)

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