Tree Allometrics

Equations / Branch biomass

Quercus group 2 (obtusata, coccolobifolia, sideroxyla): branch biomass

Branch biomassQuercus group 2 (Q. obtusata, Q. coccolobifolia, Q. sideroxyla) · FagaceaeMexiconaturalRead from the original paper

Fitted on these 3 species: Quercus obtusata, Quercus coccolobifolia, Quercus sideroxyla

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

As printed (Table 8, Grupo 2)

Br = exp (−5.345159) × (Dn² × At)^1.168119

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

Branch biomass = exp(-5.345159) * (D^2 * H)^1.168119
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 0.90, branches 0.86 (Table 8). Foliage and total of this group not added (see source notes).

Source
DBH range
4.8–40.5 cm
Height range
3.55–15.7 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
28.9
Branch biomass (kg)
13.6
Carbon (kg), ×0.47
49.8
CO₂e (kg), ×44/12
Fitted DBH range050100150200250300510152025303540DBH (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 = 15.5, H = 7.228.928.9Computed from the printed form
computed from the published form (Table 8)
D = 29.8, H = 12.1244244Computed from the printed form
computed from the published form (Table 8)

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