Tree Allometrics

Vachellia tortilis / Foliage biomass

Vachellia tortilis combined leaf and twig biomass (Model 7)

Foliage biomassVachellia tortilisEthiopiaRead from the original paperPeer-reviewed sourceNot fully checked

Not fully checked: Table 1 gives M7 the same exponent on both diameters, whereas Table 5 and Fig. 6B give DBH exponent 2.073 and stump-diameter exponent −1.203. This record uses Table 5; confirm the conflicting model specification with the authors before relying on it.

Photo of Vachellia tortilis
© Rabah Al-Shammary · CC BY · iNaturalist
Equation

As printed (Table 5, Models and Coefficients columns, Leaf and twig Model 7 row, p. 9)

Y = β₁ (d^β₂ dₛₕ^β₃); β₁ = 2.888, β₂ = 2.073, β₃ = −1.203

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

Foliage biomass = 2.888 * (D^2.073 * D30^(-1.203))
D
Diameter at breast height (1.3 m), cm
D30
Stem diameter at 30 cm, cm

Nonlinear power regression on the original scale; no back-transformation or correction is stated or applied. d is diameter at breast height, 1.3 m, and dsh is diameter at 30 cm above ground. For multi-stemmed trees use the square root of the sum of squared stem diameters at the relevant height (Eq. 1). The harvested stump-diameter range was 3.2–44.5 cm. This foliage component is the combined dry mass of leaves and twigs.

Source
Model 7 Y = β1 (d β2 dshβ3) 2.888 2.073* − 1.203 0.58 27.965 − 1.59 22.502 0.70 1
Equation · Table 5, Leaf and twig Model 7, p. 9
Leaf and twig
Output · Table 5, biomass component, p. 9
biomass (kg dry matter/
Units · Table 5 heading, p. 9
ith stem at stump or breast height (cm).
Units · Eq. 1 definition, p. 4
d: diameter at breast height (1.30 m); dsh:stump diameter at 30 cm height
Units · Table 5 note, p. 9
kg per plant, n: 15
Trees measured · Table 5 note, p. 9
Model 7 Y = β1 (d β2 dshβ3) 2.888 2.073* − 1.203 0.58 27.965 − 1.59 22.502 0.70 1
R² · Table 5, Leaf and twig Model 7, p. 9
non-linear power function
method · Abstract, p. 1
Vachellia tortilis
Taxon · Study area, p. 3
Adami Tullu Jido Kombolcha district
Where · Study area, p. 2
semi-arid climate zone
Where · Study area, p. 2
Trees measured
15
R²
0.58
Method
nonlinear power regression
Where
Adami Tullu Jido Kombolcha district, Central Rift Valley, Ethiopia
Last checked
2026-11-05
Calculate
21.6
Foliage biomass (kg)
10.1
Carbon (kg), ×0.47
37.1
CO₂e (kg), ×44/12

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
D30 = 20, D = 1521.621.6Computed from the printed form
Computed from the printed Table 5 coefficients; no individual published prediction with all inputs is provided.

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