Tree Allometrics

Equations / Aboveground biomass, without leaves

Pruned Faidherbia albida total wood mass from D²H (Eq. 3.5)

Aboveground biomass, without leavesFaidherbia albida · FabaceaeCameroonagroforestryRead from the original paper
Photo of Faidherbia albida
© Bernard DUPONT · CC BY-SA · iNaturalist
Equation

As printed (Table II, p. 10)

Eq 3.5 ln(TDWb) = -2.050 + 0.872 * ln(D²H)

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

Aboveground biomass, without leaves = 1.06 * exp(-2.050 + 0.872 * ln(D^2 * H))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Response is TDWb, total above-ground wood dry mass (pruned wood plus post-pruning wood of trunk and branch stumps); foliage was not weighed, so it is excluded. Pruned-wood mass uses a 0.439 dry-matter fraction and post-pruning mass uses volume x 0.411 g cm-3 mean basic density, so it is a semi-destructive estimate. The back-transform applies the printed CF (1.06, given to two decimals). Natural log assumed from the paper's ln notation. DBH range not stored: Table I gives 31.8 to 110.4 cm but the text gives 28 to 183 cm for the 18 trees. Crown-area (Ca) equations from the same table are not added because Ca is not a canonical variable (computed as an ellipse area from two crown diameters).

Source
Bias correction coefficient to transform predictions back to the original scale while accounting for the variance of the residuals.
Correction factor · Table II footnote 1, p. 10
the sample of 18 Faidherbia albida trees
Trees measured · Table I caption, p. 9
Trees measured
18
Height range
9–14 m
Correction factor
1.06 (applied)
Method
log-log regression (OLS)
Where
Gané and Sirlawé villages, Mayo-Danay, Far North region, Cameroon
Last checked
2026-11-02
Calculate
Height from
933.3
Aboveground biomass, without leaves (kg)
438.6
Carbon (kg), ×0.47
1,608
CO₂e (kg), ×44/12
05001,0001,5002,0002,5003,0003,50020406080100DBH (cm)Aboveground biomass, without leaves (kg)Aboveground biomass, without leaves

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 = 50, H = 10933.3933.3Computed from the printed form
computed from the Table II coefficients with the printed CF 1.06
D = 90, H = 133,2703,270Computed from the printed form
computed from the Table II coefficients with the printed CF 1.06

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