Vachellia tortilis / Branch biomass

Vachellia tortilis branch biomass (Model 3)

Branch biomassVachellia tortilisEthiopiaRead from the original paperPeer-reviewed source

Equation

As printed (Table 5, Models and Coefficients columns, Branch Model 3 row, p. 9)

Y = β₁d^β₂h^β₃; β₁ = 0.043, β₂ = 1.667, β₃ = 1.423

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

Branch biomass = 0.043 * D^1.667 * H^1.423

D: Diameter at breast height (1.3 m), cm
H: Total tree height, m

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 h is total height. 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.

Source

Eshete, A., Getnet, D., Yilma, Z., Chimsa, D. & Befikadu, E. (2026). Aboveground biomass estimation of Vachellia tortilis (Forssk. Galasso & Banfi) for sustainable bioenergy production in the Central Rift Valley, Ethiopia. Discover Forests, 2, 49.

doi:10.1007/s44415-026-00110-y · Peer-reviewed · Open access · copy we read

Model 3 Y = β1d β2h β3 0.043 1.667** 1.423** 0.97 48.665 6.539 35.286 0.73 3

Equation · Table 5, Branch Model 3, p. 9

Branch

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)

Units · Table 5 note, p. 9

height of plant (m)

Units · Table 5 note, p. 9

kg per plant, n: 15

Trees measured · Table 5 note, p. 9

Model 3 Y = β1d β2h β3 0.043 1.667** 1.423** 0.97 48.665 6.539 35.286 0.73 3

R² · Table 5, Branch Model 3, 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: 0.97
Method: nonlinear power regression
Where: Adami Tullu Jido Kombolcha district, Central Rift Valley, Ethiopia
Last checked: 2026-11-05

Calculate

DBH (cm)Height (m)

Height from

18.7

Branch biomass (kg)

8.81

Carbon (kg), ×0.47

32.3

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%.

Inputs	Expected	We get	From
D = 15, H = 3	18.7	18.7	Computed from the printed form Computed from the printed Table 5 coefficients; no individual published prediction with all inputs is provided.

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Vachellia tortilis branch biomass (Model 4) · Eshete et al. 2026 · D30 + Height
Vachellia tortilis branch biomass (Model 5) · Eshete et al. 2026 · DBH + Height
Vachellia tortilis total aboveground biomass (Model 2) · same paper · Aboveground biomass
Vachellia tortilis total aboveground biomass (Model 3) · same paper · Aboveground biomass
Vachellia tortilis total aboveground biomass (Model 4) · same paper · Aboveground biomass
Vachellia tortilis branch biomass (Model 4) · same paper · Branch biomass
Vachellia tortilis branch biomass (Model 5) · same paper · Branch biomass
Vachellia tortilis combined leaf and twig biomass (Model 5) · same paper · Foliage biomass
Vachellia tortilis combined leaf and twig biomass (Model 6) · same paper · Foliage biomass
Vachellia tortilis combined leaf and twig biomass (Model 7) · same paper · Foliage biomass

Compare these curves

Vachellia tortilis branch biomass (Model 3)

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