Tree Allometrics

Equations / Stem biomass

Quercus laurina, stem biomass (Eq. 4, D²H)

Stem biomassQuercus laurina Humb. & Bonpl. · FagaceaeMexiconaturalRead from the original paper
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Equation

As printed (Table 6)

y = e^[−β0+β1 ln(DN²×AT)] (4); β0 = 4,2772, β1 = 1,0493

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

Stem biomass = exp(-4.2772 + 1.0493 * ln(D^2 * H))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

The paper prints the model as e^[−β0 + β1 ln(DN² × AT)] with the tabulated β0 positive; applied with the minus sign (it also matches the paper's biomass expansion factor Eq. 12). Dry mass at 100 °C; stem includes bark. Adjusted R2 (not stored): 0.99.

Source
Se muestrearon 16 árboles por cada especie
Trees measured · Resumen / Table 2
Trees measured
16
DBH range
6–31 cm
Height range
9.6–25.5 m
Method
Nonlinear exponential model (Eq. 4) fitted by SAS PROC MODEL; no correction factor stated
Where
Ixtlán de Juárez, Oaxaca
Last checked
2026-11-02
Calculate
Height from
53.71
Stem biomass (kg)
25.24
Carbon (kg), ×0.47
92.55
CO₂e (kg), ×44/12
Fitted DBH range0100200300400500600510152025303540DBH (cm)Stem biomass (kg)Stem 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 = 13.5, H = 14.453.753.7Computed from the printed form
computed from the published form (Tables 4-7 coefficients, minus sign on β0)
D = 23.5, H = 20.7251.5251.5Computed from the printed form
computed from the published form (Tables 4-7 coefficients, minus sign on β0)

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