Equations / Height
Tanzania Wetland forests, height from D (base model, Table 4)
HeightMixed tree species, Wetland forestsTanzanianaturalRead from the original paper
Many species, no single photo
Equation
As printed (Table 4, Wetlands row)
1.3 + 20.4098 × exp(−23.1909/(D + 6.7727))
In this library's units, ready to compute (m)
Height = 1.3 + 20.4098 * exp(-23.1909 / (D + 6.7727))D- Diameter at breast height (1.3 m), cm
Base model (D only), Ratkowsky form selected for wetlands (Table 4). n_trees and ranges are the Table 1 statistics for wetlands.
Source
doi:10.1155/2019/4832849 · Open access · copy we read
Number of trees 97
- Trees measured
- 97
- DBH range
- 2.2–93 cm
- Height range
- 2–25 m
- Method
- nonlinear mixed-effects regression (random effect on cluster), Ratkowsky form
- Where
- Tanzania Mainland, NAFORMA inventory (Wetland forests)
- Last checked
- 2026-11-02
Calculate
4.15
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 = 5 | 4.15 | 4.15 | Computed from the printed form computed from the published form (coefficients as printed) |
| D = 20 | 9.88 | 9.88 | Computed from the printed form computed from the published form (coefficients as printed) |
| D = 50 | 14.9 | 14.9 | Computed from the printed form computed from the published form (coefficients as printed) |
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