Tree Allometrics

Equations / Aboveground biomass

Guangzhou subtropical forest aboveground biomass, Model 3 (DBH and height)

Aboveground biomassSubtropical evergreen broadleaf forest trees (Castanopsis fissa, Aleurites montana, Castanopsis chinensis, Machilus chinensis and 22 companion species)ChinanaturalRead from the original paper
Many species, no single photo
Equation

As printed (Section 2.4, Eq. 3)

ln(B) = a + bln(DBH²) + cln(H)

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

Aboveground biomass = exp(-2.275 + 1.161 * ln(D^2) + 0.152 * ln(H))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

ln(B) = a + bln(DBH²) + cln(H). Fitted in R (nlme) on ln-transformed biomass; the paper states no back-transform correction factor and none is applied. Aboveground biomass is above a 10 cm stump (stem, branches, leaves); belowground is the root system plus stump. The paper lists five models (1)-(5); model (2) (ln DBH²H) and (4) (ln DBH²WD) are not added here.

Source
(3) −2.275 ± 0.148 1.161 ± 0.026 0.152 ± 0.095 3.114 0.196 0.952 78.7 30.58 −1.91
Equation · Table 3, Aboveground
(3) −2.275 ± 0.148 1.161 ± 0.026 0.152 ± 0.095 3.114 0.196 0.952 78.7 30.58 −1.91
R² · Table 3, Aboveground
a total of 144 sampled trees
Trees measured · Section 2.2
Total 4.2 61.2
Smallest DBH · Table 1
Trees measured
144
DBH range
4.2–61.2 cm
R²
0.952
Method
ln-ln regression (R, nlme)
Where
Fushan, about 26 km northeast of Guangzhou, Guangdong
Last checked
2026-11-02
Calculate
Height from
80.7
Aboveground biomass (kg)
37.93
Carbon (kg), ×0.47
139.1
CO₂e (kg), ×44/12
Fitted DBH range0200400600800510152025303540DBH (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 = 15, H = 1280.780.7Computed from the printed form
hand-computed from the published form
D = 40, H = 22863863Computed from the printed form
hand-computed from the published form

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