Equations / Height
Pantropical height–diameter model with stress index E (Eq. 6a)
HeightTropical trees (58 sites)PantropicalnaturalRead from the original paper
Many species, no single photo
Equation
As printed (Eq. 6a, p. 3183)
ln(H) = 0.893 − E + 0.760 ln(D) − 0.0340[ln(D)]²
In this library's units, ready to compute (m)
Height = exp(0.893 - E + 0.760 * ln(D) - 0.0340 * (ln(D))^2)E- Environmental stress index (Chave et al. 2014)
D- Diameter at breast height (1.3 m), cm
E is the bioclimatic stress index of Eq. 6b (TS temperature seasonality, CWD climatic water deficit, PS precipitation seasonality); a global gridded E layer is published by the authors. The paper prints the model on the log scale and gives no back-transform correction for H; expression is the plain exp() of Eq. 6a. Fitted on the harvest dataset (df = 3998); the paper does not state n separately for this fit.
Source
doi:10.1111/gcb.12629 · Paywalled · copy we read
(AIC = 47, RSE = 0.243, df = 3998)
E = (0.178 × TS − 0.938 × CWD − 6.61 × PS) × 10⁻³
for a total of 4004 trees with trunk diameter ranging from 5 to 212 cm
- DBH range
- 5–212 cm
- Residual SE
- 0.243
- Method
- linear regression of ln(H) on E, ln(D) and ln(D)²
- Where
- 58 harvest sites across the tropics
- Last checked
- 2026-11-01
Calculate
21.9
Height (m)
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, E = 0 | 21.9 | 21.9 | Computed from the printed form computed with python3 from the published form |
| D = 30, E = 0.5 | 13.3 | 13.3 | Computed from the printed form computed with python3 from the published form |
Related
- Pantropical AGB with height (Eq. 4) · same paper · Aboveground biomass
- Pantropical AGB with height, exponent fixed at 1 (Eq. 5) · same paper · Aboveground biomass
- Pantropical AGB without height, with stress index E (Eq. 7) · same paper · Aboveground biomass