Tree Allometrics

Equations / Aboveground biomass

Kintampo woodlands mixed-species AGB, M6 (best model): dbh, height and wood density

Aboveground biomass31 woodland tree species harvested for charcoalGhananaturalRead from the original paper
Many species, no single photo
Equation

As printed (Table 5 (parameter estimates))

M6 a6 0.058 0.049–0.067 0.046–0.070 b6 0.999 0.983–1.015

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

Aboveground biomass = 0.0580 * rho * (D^2 * H)^0.999
rho
Wood density (oven-dry mass / green volume), g/cm³
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Mixed-species model; AGB is the sum of logs, small branches, twigs and leaves, so foliage is included. Fitted by non-linear regression, so no back-transformation correction. Wood density ρ is the species mean of disc samples (oven-dry mass / volume), in g/cm³. Coefficients are the Table 5 estimates rounded as printed. Abstract prints a6 as 0.0580; Table 5 prints 0.058. The abstract value is used.

Source
M6 a6[ρ((dbh)^2H)^b6]
Equation · Table 3 (model forms)
Destructive sampling was carried out on 745 trees
Trees measured · Abstract
The dbh of individual trees ranged from 5.0 to 48.2 cm
Largest DBH · Modelling process, Data description
AGB = 0.0580ρ((dbh)2H)0.999
Equation · Abstract
Trees measured
745
DBH range
5–48.2 cm
Method
non-linear regression (variance proportional to squared mean)
Where
Kintampo Municipality, forest-savanna transition zone, Ghana
Last checked
2026-11-02
Calculate
Height from
280.2
Aboveground biomass (kg)
131.7
Carbon (kg), ×0.47
482.9
CO₂e (kg), ×44/12
Fitted DBH range02004006008001,0001,2001020304050DBH (cm)Aboveground biomass (kg)Aboveground 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 = 25, H = 12, rho = 0.65280.2280.2Computed from the printed form
hand-computed from the published form
D = 40, H = 12, rho = 0.65716.7716.7Computed from the printed form
hand-computed from the published form

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