Equations / Aboveground biomass
Pantropical AGB with height (Eq. 4)
Aboveground biomassTropical trees (58 sites)PantropicalnaturalRead from the original paper
Many species, no single photo
Equation
As printed (Eq. 4, p. 3182)
AGBest = 0.0673 × (ρD²H)^0.976
In this library's units, ready to compute (kg)
Aboveground biomass = 0.0673 * (rho * D^2 * H)^0.976rho- Wood density (oven-dry mass / green volume), g/cm³
D- Diameter at breast height (1.3 m), cm
H- Total tree height, m
Recommended by the authors when height is measured. The paper derives its estimator as AGBest = exp[σ²/2 + a + b ln(ρD²H)] (Eq. 2, Baskerville correction), so the printed coefficient is used as is; no further correction factor applied. The paper notes Model 4 underestimates AGB by about 20% for trees above 30 Mg. 53 undisturbed and 5 secondary-forest sites.
Source
doi:10.1111/gcb.12629 · Paywalled · copy we read
(σ = 0.357, AIC = 3130, df = 4002)
where D is in cm, H is in m, and ρ is in g cm−3
4004 trees ≥ 5 cm trunk diameter
for a total of 4004 trees with trunk diameter ranging from 5 to 212 cm
- Trees measured
- 4,004
- DBH range
- 5–212 cm
- Residual SE
- 0.357
- Method
- log-log linear regression of AGB on ρD²H
- Where
- 58 harvest sites across the tropics
- Last checked
- 2026-11-01
Calculate
Height from
723.1
Aboveground biomass (kg)
339.9
Carbon (kg), ×0.47
1,246
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 = 30, H = 25, rho = 0.6 | 723.1 | 723.1 | Computed from the printed form computed with python3 from the published form |
Related
- Pantropical AGB with height, exponent fixed at 1 (Eq. 5) · Chave et al. 2014 · Wood density + DBH + Height
- Pantropical AGB without height, with stress index E (Eq. 7) · Chave et al. 2014 · E + Wood density + DBH
- Pantropical AGB with height, exponent fixed at 1 (Eq. 5) · same paper · Aboveground biomass
- Pantropical height–diameter model with stress index E (Eq. 6a) · same paper · Height
- Pantropical AGB without height, with stress index E (Eq. 7) · same paper · Aboveground biomass