Equations / Aboveground biomass

Kintampo woodlands mixed-species AGB, M7: 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))

M7 a7 0.053 0.045–0.061 0.042–0.064 b7 1.009 0.992–1.025

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

Aboveground biomass = 0.053 * (rho * D^2 * H)^1.009

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.

Source

Aabeyir, R., Adu-Bredu, S., Agyare, W.A., Weir, M.J.C. (2020). Allometric models for estimating aboveground biomass in the tropical woodlands of Ghana, West Africa. Forest Ecosystems, 7, 41.

doi:10.1186/s40663-020-00250-3 · Open access · copy we read

M7 a7[(ρ(dbh)^2H)^b7]

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

Wood density (g/cm³)DBH (cm)Height (m)

Height from

279

Aboveground biomass (kg)

131

Carbon (kg), ×0.47

481

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 = 25, H = 12, rho = 0.65	279	279	Computed from the printed form hand-computed from the published form
D = 40, H = 12, rho = 0.65	720	720	Computed from the printed form hand-computed from the published form

Report a problem with this equation · JSON

Kintampo woodlands mixed-species AGB, M1: dbh only · Aabeyir et al. 2020 · DBH
Kintampo woodlands mixed-species AGB, M2: dbh and wood density · Aabeyir et al. 2020 · Wood density + DBH
Kintampo woodlands mixed-species AGB, M3: dbh and wood density · Aabeyir et al. 2020 · Wood density + DBH
Kintampo woodlands mixed-species AGB, M4: dbh and height · Aabeyir et al. 2020 · Height + DBH
Kintampo woodlands mixed-species AGB, M5: dbh and height · Aabeyir et al. 2020 · DBH + Height
Kintampo woodlands mixed-species AGB, M6 (best model): dbh, height and wood density · Aabeyir et al. 2020 · Wood density + DBH + Height
Kintampo woodlands mixed-species AGB, M1: dbh only · same paper · Aboveground biomass
Kintampo woodlands mixed-species AGB, M2: dbh and wood density · same paper · Aboveground biomass
Kintampo woodlands mixed-species AGB, M3: dbh and wood density · same paper · Aboveground biomass
Kintampo woodlands mixed-species AGB, M4: dbh and height · same paper · Aboveground biomass
Kintampo woodlands mixed-species AGB, M5: dbh and height · same paper · Aboveground biomass
Kintampo woodlands mixed-species AGB, M6 (best model): dbh, height and wood density · same paper · Aboveground biomass

Compare these curves

Kintampo woodlands mixed-species AGB, M7: dbh, height and wood density

Related