Tree Allometrics

Equations / Aboveground biomass

Quercus obtusata: total aboveground biomass (sum of components)

Aboveground biomassQuercus obtusata Bonpl. · FagaceaeMexiconaturalRead from the original paper
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Equation

As printed (Table 9, Quercus obtusata)

Bt = ΣBi

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

Aboveground biomass = (exp(-3.53684) * D^2.043763 * H^0.759522) + (exp(-5.803952) * (D^2 * H)^1.224292) + (exp(-6.181035) * D^2.488617)
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Table 1 sample size and ranges for this species. Adjusted R2 (not stored): stem 0.86, branches 0.84, foliage 0.82, total 0.94 (Table 9). Total is the sum of the component equations, as the paper defines it.

Source
Bf = exp (– 3.53684) × Dn^2.043763 × At^0.759522
Equation · Table 9, Quercus obtusata
Br = exp (– 5.803952) × (Dn² × At)^1.224292
Equation · Table 9, Quercus obtusata
Bh = exp (– 6.181035) × Dn^2.488617
Equation · Table 9, Quercus obtusata
34
Trees measured · Table 1, Q. obtusata
Trees measured
34
DBH range
6.2–37.6 cm
Height range
4.85–14.2 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
70.21
Aboveground biomass (kg)
33
Carbon (kg), ×0.47
121
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 = 15.6, H = 7.770.270.2Computed from the printed form
computed from the published form (Table 9)
D = 28.2, H = 11.4389.6389.6Computed from the printed form
computed from the published form (Table 9)

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