Tree Allometrics

Equations / Aboveground biomass

Five-species pooled AGB from dbh (Table 4)

Aboveground biomassFive tropical dry forest species (Acacia cochliacantha, Conzattia multiflora, Euphorbia schlechtendalii, Ipomoea arborescens, Lysiloma microphyllum)MexiconaturalRead from the original paperIts authors advise against it

The paper fits this equation and then advises against using it: “Comparison of the regression parameter homogeneity of the five species determined rejection of the null hypothesis, and thus, a single model cannot be fit satisfactorily to the database of the species involved in the present study” (Results, p. 8). Species pages list it last among fits of its kind.

Fitted on these 5 species: Acacia cochliacantha, Conzattia multiflora, Euphorbia schlechtendalii, Ipomoea arborescens, Lysiloma microphyllum

4 of the 5 species it was fitted on · iNaturalist photos, hover for credit
Equation

As printed (Eq. 2, p. 4)

ln(Y) = ln(a) + b ln(X)

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

Aboveground biomass = exp(-1.217 + 1.886 * ln(D))
D
Diameter at breast height (1.3 m), cm

ln(Y) = b0 + b1 ln(DBH), natural log, no correction factor stated in the paper. Aboveground biomass includes foliage and small branches (trunk and crown sections were summed). The paper reports that the pooled model was rejected as heterogeneous; it is listed as printed. n 60 counts branch units, so n_trees is left out.

Source
All the species: n 60; β0 -1.217; β1 1.886; R2 0.668
Equation · Table 4, p. 9
R2 0.668
R² · Table 4, p. 9
Y is aboveground biomass (kg), X is dbh (cm)
Output · p. 4
DBH range
3.5–32.9 cm
R²
0.668
Method
Linear regression of ln(biomass) on ln(dbh)
Where
Sierra de Huautla Biosphere Reserve (Ejido El Limón), Morelos
Last checked
2026-11-02
Calculate
22.8
Aboveground biomass (kg)
10.7
Carbon (kg), ×0.47
39.2
CO₂e (kg), ×44/12
Fitted DBH range050100150200250300350510152025303540DBH (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 = 1022.822.8Computed from the printed form
computed from the printed coefficients
D = 2084.284.2Computed from the printed form
computed from the printed coefficients

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