Tree Allometrics

Equations / Aboveground biomass

Subtropical China AGB from D²H and wood density (Model I.2)

Aboveground biomass41 subtropical forest tree species (Fagus lucida, Castanea seguinii, Carpinus viminea and others)ChinanaturalRead from the original paper
Many species, no single photo
Equation

As printed (Table 2, model I.2)

I.2 ln(AGB) = a + bln(D²H) + cln(WD) −2.672 0.944 0.615

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

Aboveground biomass = exp(-2.672 + 0.944 * ln(D^2 * H) + 0.615 * ln(rho))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m
rho
Wood density (oven-dry mass / green volume), g/cm³

Log-log model fitted by Bayesian MCMC; no correction factor is stated, so none is applied. Natural log assumed from the paper's ln notation. Wood density WD is in g cm-3 (Table 2; the running text says g/m3). Whole-tree AGB includes branches, leaves and fruit.

Source
I.2 R² 0.939 RSE 0.193
R² · Table 3, model I.2 (R2 and RSE columns)
we harvested and weighted dry mass of 147 trees from 41 dominant species in subtropical forest
Trees measured · Abstract
Trees measured
147
R²
0.939
Residual SE
0.193
Method
Bayesian log-log regression (MCMC)
Where
Badagongshan National Nature Reserve, Hunan province
Last checked
2026-11-02
Calculate
Height from
168.9
Aboveground biomass (kg)
79.4
Carbon (kg), ×0.47
291.1
CO₂e (kg), ×44/12
0100200300400500600700510152025303540DBH (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 = 20, H = 14, rho = 0.57168.9168.9Computed from the printed form
computed from the printed coefficients
D = 40, H = 20, rho = 0.6903.6903.6Computed from the printed form
computed from the printed coefficients

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