Tree Allometrics

Equations / Stem biomass

Generic stem biomass from Dbh (Lama forest)

Stem biomassEighteen dominant tree species of Lama forest plus species from Guendehou et al. (2012)BeninnaturalRead from the original paper
Many species, no single photo
Equation

As printed (Eq. 3 and 5, p. 7; Table 4 (Model structure: ln(X) = x0 + x1ln(Dbh)), p. 10)

Generic –1.98*** (0.06) 2.30*** (0.02) 95.07 45 0.10 615

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

Stem biomass = exp(-1.98 + 2.3 * ln(D) + 0.1)
D
Diameter at breast height (1.3 m), cm

Stem biomass only (stem = height to crown base); the authors say to multiply by a biomass expansion factor (IPCC 2006) to get aboveground biomass. Coefficients are printed to 2 decimals, so predictions are only as precise as that. σ²/2 is the paper's printed bias-correction term, added inside the exponent (Eq. 5); it is printed rounded to 2 decimals. Fitted on the 501 trees of this study plus those of Guendehou et al. (2012) (617 trees); the paper gives no Dbh range for the combined set, and the authors warn it predicts most species poorly. Adjusted R² 95.07%, rRMSE 45% (Table 4).

Source
This resulted in 617 trees used for the generic volume and biomass models.
Trees measured · Section 2.3, p. 7
Trees measured
617
Method
ln-ln linear regression, back-transformed with exp(σ²/2) (printed σ²/2 is rounded to 2 decimals)
Where
Lama forest reserve, southern Benin (semi-deciduous forest)
Last checked
2026-11-02
Calculate
150
Stem biomass (kg)
70.5
Carbon (kg), ×0.47
258
CO₂e (kg), ×44/12
0100200300400500600700800510152025303540DBH (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 = 20150150Computed from the printed form
computed from the published form (coefficients as printed to 2 decimals)
D = 40738738Computed from the printed form
computed from the published form (coefficients as printed to 2 decimals)

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