Tree Allometrics

Equations / Aboveground biomass

Kintampo woodlands mixed-species AGB, M3: dbh 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))

M3 a3 0.227 0.190–0.264 0.182–0.272 b3 1.196 1.172–1.220

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

Aboveground biomass = 0.227 * (rho * D^2)^1.196
rho
Wood density (oven-dry mass / green volume), g/cm³
D
Diameter at breast height (1.3 m), cm

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.

Source
M3 a3[(ρ(dbh)^2)^b3]
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
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
299
Aboveground biomass (kg)
141
Carbon (kg), ×0.47
516
CO₂e (kg), ×44/12
Fitted DBH range05001,0001,5002,0001020304050DBH (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, rho = 0.65299299Computed from the printed form
hand-computed from the published form
D = 40, rho = 0.65921921Computed from the printed form
hand-computed from the published form

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