Equations / Height
Pantropical Weibull height–diameter model
HeightTropical forest trees (permanent plots)PantropicalnaturalRead from the original paper
Many species, no single photo
Equation
As printed (Eq. 5, p. 3387)
H = a(1 − exp(−bD^c))
In this library's units, ready to compute (m)
Height = 50.874 * (1 - exp(-0.042 * D^0.784))D- Diameter at breast height (1.3 m), cm
Weibull height–diameter model; RSE 5.479 m (on the height scale, not log scale, so not stored in fit.rse). Fitted on concurrent H and D measurements in permanent plots, trees ≥ 10 cm D; the paper gives no maximum D for this fit. Table 3 footnote: models adapted from the pantropical H:D database of Feldpausch et al. (2011).
Source
doi:10.5194/bg-9-3381-2012 · Open access · copy we read
Coefficients for Weibull-H region-, continent-specific and pantropical models (H = a(1−exp(−bD^c))) to estimate tree height (H, m) from diameter (D, cm) ≥ 10 cm in pantropical forests
Pantropical 50.874 0.0420 0.784 5.479 266 169 42656
- Trees measured
- 42,656
- DBH range
- from 10 cm
- Method
- nonlinear Weibull H:D fit
- Where
- Permanent plots in Africa, Asia, Australia and South America
- Last checked
- 2026-11-01
Calculate
23.1
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 | 23.1 | 23.1 | Computed from the printed form computed with python3 from the published form |
| D = 80 | 37.1 | 37.1 | Computed from the printed form computed with python3 from the published form |
Related
- Africa Weibull height–diameter model · Feldpausch et al. 2012 · DBH
- South-East Asia Weibull height–diameter model · Feldpausch et al. 2012 · DBH
- South America Weibull height–diameter model · Feldpausch et al. 2012 · DBH
- Africa Weibull height–diameter model · same paper · Height
- South-East Asia Weibull height–diameter model · same paper · Height
- South America Weibull height–diameter model · same paper · Height