Tree Allometrics

Equations / Aboveground biomass

Six Guanajuato oaks pooled, system 1 (D and H): total aboveground biomass (sum of components)

Aboveground biomassQuercus (six species: rugosa, obtusata, sideroxyla, coccolobifolia, laurina, candicans) · FagaceaeMexiconaturalRead from the original paper
Covers the whole genus
Equation

As printed (Table 4, model 3)

Bt = ΣBi

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

Aboveground biomass = (0.03367 * D^1.853235 * H^0.982072) + (0.027143 * D^3.228496 * H^(-0.82824)) + (0.0059 * D^2.246321)
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Dn and At are diameter at breast height and total height (At measured after felling, stump height included). Adjusted R2 (not stored): stem 0.9705, branches 0.8913, foliage 0.8086, total 0.9653 (Table 4). Total is the sum of the component equations, as the paper defines it.

Source
Bf = 0.03367 × Dn^1.853235 × At^0.982072
Equation · Table 4, model 3
Br = 0.027143 × Dn^3.228496 × At^–0.82824
Equation · Table 4, model 3
Bh = 0.0059 × Dn^2.246321
Equation · Table 4, model 1
Un total de 165 árboles
Trees measured · Methods / Table 1
Trees measured
165
DBH range
4.8–48.6 cm
Height range
3.55–20.6 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
113.1
Aboveground biomass (kg)
53.17
Carbon (kg), ×0.47
195
CO₂e (kg), ×44/12
Fitted DBH range02004006008001,000510152025303540DBH (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 = 17.9, H = 8.7113.1113.1Computed from the printed form
computed from the published form (Table 4)
D = 35.5, H = 15.5672.3672.3Computed from the printed form
computed from the published form (Table 4)

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