Equations / Total biomass

Acacia mearnsii Total tree biomass from D and H (Table 3, model 1)

Total biomassAcacia mearnsii · FabaceaeEthiopiaplantationRead from the original paper

Equation

As printed (Table 3, Total biomass model 1)

Total biomass 1. a + b(DH)c 2.25 0.02 1.69 97.82

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

Total biomass = 2.25 + 0.02 * (D * H)^1.69

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

Coefficients are printed to two decimals only, so predictions are coarse for small trees. D is DBH in cm, H in m, biomass in kg (Table 2). Trees aged 3 to 6 years. R2 printed as a percentage and converted to a fraction. Table 3 was read from the journal CSV download; the column order is a, b, c, R2, RMSE, MAD, AIC, p. Stem, AGB and total biomass model 1 are the best models per the authors. Branch and leaf models are not added (Table 3: R2 about 0.5 for branches and about 0.6 for leaves).

Source

Shumie, A., Alemu, A., Abebe, G., et al. (2024). Allometric equations for estimation of above- and below-ground biomass of Acacia mearnsii in northwestern Ethiopia. Forest Science and Technology, 20(3), 279-285.

doi:10.1080/21580103.2024.2366831 · Open access · copy we read

twenty-four trees of varying ages (3, 4, 5, and 6 years) were harvested

Trees measured · Abstract

Tree parameters DBH (cm) 24 1.1 7.1 11.9; Height (m) 24 2.1 4.4 6.8 (n, min, mean, max)

Smallest DBH · Table 2

Trees measured: 24
DBH range: 1.1–11.9 cm
Height range: 2.1–6.8 m
R²: 0.9782
Method: nonlinear regression, form a + b(DH)^c
Where: Farmer-managed woodlots, northwestern Ethiopia (Amhara)
Last checked: 2026-11-02

Calculate

DBH (cm)Height (m)

Height from

2.852

Total biomass (kg)

1.341

Carbon (kg), ×0.47

4.916

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 = 3, H = 2.5	2.85	2.85	Computed from the printed form computed from the published form
D = 7, H = 4.4	8.81	8.81	Computed from the printed form computed from the published form
D = 11, H = 6.5	29.5	29.5	Computed from the printed form computed from the published form

Report a problem with this equation · JSON

Planted Acacia mangium, West Java, total (above + below) biomass from D, all ages (model B) · Miyakuni et al. 2004 · DBH
Acacia mearnsii Aboveground biomass from D and H (Table 3, model 1) · same paper · Aboveground biomass
Acacia mearnsii belowground biomass from D and H (Table 3, model 3) · same paper · Root biomass
Acacia mearnsii Stem biomass from D and H (Table 3, model 1) · same paper · Stem biomass

Compare these curves

Acacia mearnsii Total tree biomass from D and H (Table 3, model 1)

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