Tree Allometrics

Equations / Branch biomass

Six Guanajuato oaks pooled, system 1 (D and H): branch biomass

Branch 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)

Br = 0.027143 × Dn^3.228496 × At^–0.82824

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

Branch biomass = 0.027143 * D^3.228496 * H^(-0.82824)
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).

Source
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
50.16
Branch biomass (kg)
23.57
Carbon (kg), ×0.47
86.44
CO₂e (kg), ×44/12
Fitted DBH range0100200300400500600700510152025303540DBH (cm)Branch biomass (kg)Branch 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 = 8.750.250.2Computed from the printed form
computed from the published form (Table 4)
D = 35.5, H = 15.5283.6283.6Computed from the printed form
computed from the published form (Table 4)

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