Tree Allometrics

Equations / Aboveground biomass

Pinus durangensis total aboveground biomass

Aboveground biomassPinus durangensis · PinaceaeMexiconaturalRead from the original paper
Photo of Pinus durangensis
© Dante S. Figueroa · CC BY-SA · iNaturalist
Equation

As printed (Table 2, p. 12)

Wt = ΣWi

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

Aboveground biomass = (0.01204 * D^1.76074 * H^1.45047) + (0.01706 * D^1.37067 * H^1.10922) + (0.14589 * D^1.64608 * H^0.41109) + (0.00301 * D^1.50863 * H^1.15013)
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Equation as printed in the Table 2 system for this taxon; d is DBH in cm, h total height in m, output in kg dry mass. R² is the 10-fold cross-validation value. Total AGB is printed as Wt = sum of the four components (stem wood, stem bark, branches, foliage); the expression is that sum of the four printed equations.

Source
0.01204d1.76074h1.45047
Equation · Table 2, p. 12
0.01706d1.37067h1.10922
Equation · Table 2, p. 12
0.14589d1.64608h0.41109
Equation · Table 2, p. 12
0.00301d1.50863h1.15013
Equation · Table 2, p. 12
Wt is the total tree AGB (i.e., the sum of all the tree biomass components)
Output · Section 2.3.1
R2 0.96 (cross-validation)
R² · Table 2, p. 12
(130)
Trees measured · Table 1
Trees measured
130
DBH range
8.7–44.5 cm
Height range
6.9–29.8 m
R²
0.96
Method
Power-law component equations fitted simultaneously by generalized method of moments (additive system)
Where
Durango, Sierra Madre Occidental
Last checked
2026-11-02
Calculate
Height from
163.7
Aboveground biomass (kg)
76.94
Carbon (kg), ×0.47
282.1
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 = 20, H = 12163.7163.7Computed from the printed form
computed from the Table 2 equations (sum of the four components)
D = 35, H = 18656.5656.4Computed from the printed form
computed from the Table 2 equations (sum of the four components)

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