Tree Allometrics

Equations / Aboveground biomass

Quercus group 1 (rugosa, candicans, laurina): total aboveground biomass (sum of components)

Aboveground biomassQuercus group 1 (Q. rugosa, Q. candicans, Q. laurina) · FagaceaeMexiconaturalRead from the original paper

Fitted on these 3 species: Quercus rugosa, Quercus candicans, Quercus laurina

3 of the 3 species it was fitted on · iNaturalist photos, hover for credit
Equation

As printed (Table 8, Grupo 1)

Bt = ΣBi

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

Aboveground biomass = (0.031052 * D^1.992101 * H^0.835385) + (0.002501 * (D^2 * H)^1.165467) + (0.005943 * D^2.2394)
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Group sample size not stated; D and H ranges are the union of the three species' Table 1 ranges. Adjusted R2 (not stored): stem 0.98, branches 0.85, foliage 0.80, total 0.96 (Table 8). Total is the sum of the component equations, as the paper defines it.

Source
Bf = 0.031052 × Dn^1.992101 × At^0.835385
Equation · Table 8, Grupo 1
Br = 0.002501 × (Dn² × At)^1.165467
Equation · Table 8, Grupo 1
Bh = 0.005943 × Dn^2.23940
Equation · Table 8, Grupo 1
DBH range
5.8–48.6 cm
Height range
4.35–20.6 m
Method
Additive system of component equations fitted simultaneously (iterated seemingly unrelated regression)
Where
Sierra de Santa Rosa, Guanajuato (bosques de encino)
Last checked
2026-11-02
Calculate
Height from
101
Aboveground biomass (kg)
47.7
Carbon (kg), ×0.47
175
CO₂e (kg), ×44/12
Fitted DBH range0100200300400500600510152025303540DBH (cm)Aboveground biomass (kg)Aboveground 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 = 18.6, H = 9.2101101Computed from the printed form
computed from the published form (Table 8)
D = 35.8, H = 15.7663663Computed from the printed form
computed from the published form (Table 8)

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