Tree Allometrics

Equations / Aboveground biomass

Pinus douglasiana and Pinus michoacana total aboveground biomass

Aboveground biomassPinus douglasiana and Pinus michoacana (data combined) · PinaceaeMexiconaturalRead from the original paper

Fitted on these 2 species: Pinus douglasiana, Pinus michoacana

2 of the 2 species it was fitted on · iNaturalist photos, hover for credit
Equation

As printed (Table 2, p. 12)

Wt = ΣWi

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

Aboveground biomass = (0.11997 * D^2.34448) + (0.03126 * D^1.978201) + (0.014982 * D^2.40887) + (0.01168 * D^2.148631)
D
Diameter at breast height (1.3 m), cm

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. Data of the two species were combined by the authors; fit ranges not printed for the combined set.

Source
0.11997d2.34448
Equation · Table 2, p. 12
0.03126d1.978201
Equation · Table 2, p. 12
0.014982d2.40887
Equation · Table 2, p. 12
0.01168d2.148631
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 0.91 (cross-validation)
R² · Table 2, p. 12
R²
0.91
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
174
Aboveground biomass (kg)
81.8
Carbon (kg), ×0.47
300
CO₂e (kg), ×44/12
02004006008001,000510152025303540DBH (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 = 20174174Computed from the printed form
computed from the Table 2 equations (sum of the four components)
D = 35638638Computed from the printed form
computed from the Table 2 equations (sum of the four components)

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