Tree Allometrics

Equations / Root biomass

Subtropical China root biomass from D

Root biomass8 subtropical forest tree species (23 root systems)ChinanaturalRead from the original paper
Many species, no single photo
Equation

As printed (BGB models with diameter, p. 8)

BGB = exp(−2.80346 + 2.0441ln(D))

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

Root biomass = exp(-2.80346 + 2.0441 * ln(D))
D
Diameter at breast height (1.3 m), cm

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. Fitted on 23 excavated root systems of eight species (large roots, small roots and stump). The residual standard error given is 0.3437 on the log scale and R² is 0.9241.

Source
Trees measured
23
R²
0.9241
Residual SE
0.3437
Method
Bayesian log-log regression (MCMC)
Where
Badagongshan National Nature Reserve, Hunan province
Last checked
2026-11-02
Calculate
6.71
Root biomass (kg)
3.15
Carbon (kg), ×0.47
11.6
CO₂e (kg), ×44/12
020406080100120510152025303540DBH (cm)Root biomass (kg)Root 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 = 106.716.71Computed from the printed form
computed from the printed coefficients
D = 3063.463.4Computed from the printed form
computed from the printed coefficients

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