Equations / Total biomass

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

Total 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)

Total biomass = exp(-2.052 + 1.128 * ln(D^2) + 0.218 * 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. Sample size and diameter range for the belowground subsample are not stated separately for the total model, so none is given.

Source

Zhao, H., Li, Z., Zhou, G., Qiu, Z., & Wu, Z. (2019). Site-Specific Allometric Models for Prediction of Above- and Belowground Biomass of Subtropical Forests in Guangzhou, Southern China. Forests, 10(10), 862.

doi:10.3390/f10100862 · Open access · copy we read

(3) −2.052 ± 0.174 1.128 ± 0.030 0.218 ± 0.111 3.145 0.208 0.951 98.4 31.56 −2.15

Equation · Table 3, Total

(3) −2.052 ± 0.174 1.128 ± 0.030 0.218 ± 0.111 3.145 0.208 0.951 98.4 31.56 −2.15

R² · Table 3, Total

R²: 0.951
Method: ln-ln regression (R, nlme)
Where: Fushan, about 26 km northeast of Guangzhou, Guangdong
Last checked: 2026-11-02

Calculate

DBH (cm)Height (m)

Height from

99.39

Total biomass (kg)

46.71

Carbon (kg), ×0.47

171.3

CO₂e (kg), ×44/12

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%.

Inputs	Expected	We get	From
D = 15, H = 12	99.4	99.4	Computed from the printed form hand-computed from the published form
D = 40, H = 22	1,037	1,037	Computed from the printed form hand-computed from the published form

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Guangzhou subtropical forest total biomass, Model 1 (DBH only) · Zhao et al. 2019 · DBH
Guangzhou subtropical forest total biomass, Model 5 (DBH and wood density) · Zhao et al. 2019 · DBH + Wood density
Guangzhou subtropical forest aboveground biomass, Model 1 (DBH only) · same paper · Aboveground biomass
Guangzhou subtropical forest aboveground biomass, Model 3 (DBH and height) · same paper · Aboveground biomass
Guangzhou subtropical forest aboveground biomass, Model 5 (DBH and wood density) · same paper · Aboveground biomass
Guangzhou subtropical forest belowground biomass, Model 1 (DBH only) · same paper · Root biomass
Guangzhou subtropical forest belowground biomass, Model 3 (DBH and height) · same paper · Root biomass
Guangzhou subtropical forest belowground biomass, Model 5 (DBH and wood density) · same paper · Root biomass
Guangzhou subtropical forest branch biomass, Model 1 (DBH only) · same paper · Branch biomass
Guangzhou subtropical forest leaf biomass, Model 1 (DBH only) · same paper · Foliage biomass

Compare these curves

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

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