Tree Allometrics

Equations / Aboveground biomass

Tanzania lowland forest, Dindili and Rondo combined, D, H and wood density (model 10)

Aboveground biomassMixed lowland forest tree speciesTanzanianaturalRead from the original paper
Many species, no single photo
Equation

As printed (Table 5 (columns: a, b, c, error, RMSE, R2, AIC))

General 10 0.0873 0.9458 0.559 × dbh1.673 567.9 0.87 840.94

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

Aboveground biomass = 0.0873 * (rho * D^2 * H)^0.9458
rho
Wood density (oven-dry mass / green volume), g/cm³
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Fitted by maximum-likelihood non-linear regression with a variance function, no back-transformation. Table 5 column "R2" is stored as r2. Total AGB is the sum of stump, stem, branches, twigs and leaves, so foliage is included. Wood density WD is the tree's sample-disc basic density (g/cm³). The rendered equation (10) shows "Y^1 = a × (WD × dbh² × ht)^b"; the superscript 1 on Y is read as a typesetting artefact.

Source
where Y is the volume (m3 tree−1) or biomass (kg tree−1); WD is wood basic density (g cm−3); a, b, and c are model parameters to be estimated.
Units · Section 2.6.2
A total of 30 trees were selected from each site
Trees measured · Section 2.3
Trees measured
60
R²
0.87
Method
maximum-likelihood non-linear regression with variance function
Where
Dindili (Morogoro) and Rondo (Lindi) lowland forests, Tanzania
Last checked
2026-11-02
Calculate
Height from
202
Aboveground biomass (kg)
94.8
Carbon (kg), ×0.47
347
CO₂e (kg), ×44/12
0100200300400500600700800510152025303540DBH (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
rho = 0.6, D = 20, H = 15202202Computed from the printed form
hand-computed from the published form
rho = 0.8, D = 50, H = 252,4282,428Computed from the printed form
hand-computed from the published form

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