Tree Allometrics

Equations / Stem biomass

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

Stem biomassQuercus (six species: rugosa, obtusata, sideroxyla, coccolobifolia, laurina, candicans) · FagaceaeMexiconaturalRead from the original paper

Fitted on these 6 species: Quercus rugosa, Quercus obtusata, Quercus sideroxyla, Quercus coccolobifolia, Quercus laurina, Quercus candicans

4 of the 6 species it was fitted on · iNaturalist photos, hover for credit
Equation

As printed (Table 4, model 3)

Bf = 0.03367 × Dn^1.853235 × At^0.982072

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

Stem biomass = 0.03367 * D^1.853235 * H^0.982072
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
59.1
Stem biomass (kg)
27.8
Carbon (kg), ×0.47
102
CO₂e (kg), ×44/12
Fitted DBH range050100150200250300510152025303540DBH (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 = 17.9, H = 8.759.159.1Computed from the printed form
computed from the published form (Table 4)
D = 35.5, H = 15.5371371Computed from the printed form
computed from the published form (Table 4)

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