Tree Allometrics

Equations / Aboveground biomass

Subtropical China AGB from D²H x wood density (Model I.3)

Aboveground biomass41 subtropical forest tree species (Fagus lucida, Castanea seguinii, Carpinus viminea and others)ChinanaturalRead from the original paper

Fitted on these 3 species and others the paper does not name here: Fagus lucida, Castanea seguinii, Carpinus viminea

Many species, no single photo
Equation

As printed (Table 2, model I.3)

I.3 ln(AGB) = a + bln(D²H × WD) −2.456 0.939

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

Aboveground biomass = exp(-2.456 + 0.939 * ln(D^2 * H * 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.3 R² 0.987 RSE 0.197
R² · Table 3, model I.3 (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
0.987
Residual SE
0.197
Method
Bayesian log-log regression (MCMC)
Where
Badagongshan National Nature Reserve, Hunan province
Last checked
2026-11-02
Calculate
Height from
167
Aboveground biomass (kg)
78.7
Carbon (kg), ×0.47
288
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 = 0.57167167Computed from the printed form
computed from the printed coefficients
D = 40, H = 20, rho = 0.6902902Computed from the printed form
computed from the printed coefficients

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