Equations / Height
Height from DBH, Michaelis-Menten model, terra-firme
HeightMixed Amazonian forest trees (367 species in terra-firme, 65 in várzea)BrazilnaturalRead from the original paper
Many species, no single photo
Equation
As printed (Table 1 (form) and Table 2, Terra-firme block)
H = a × DBH/(b + DBH) + ε ; Table 2: Michaelis-Menten a 51.09644 0.988 4.021 0.87 6,501.9 | b 25.11112 0.99
In this library's units, ready to compute (m)
Height = 51.09644 * D / (25.11112 + D)D- Diameter at breast height (1.3 m), cm
Predicts total tree height from DBH. RSE printed in Table 2 is 4.021 (height scale, m), so fit.rse is not stored. Ranges are those printed for the trees sampled in this forest type. No correction factor is applied; the paper reports local models deviate 0.1% from measured heights.
Source
doi:10.7717/peerj.18974 · Open access · copy we read
We sampled 1,156 trees of 367 species ... in the terra-firme sites, and 806 trees of 65 species ... in várzea
In the terra-firme sites, trees ranged from 1 to 109.1 cm DBH and 1.2 to 51.9 m in total height. In várzea sites, trees ranged from 5 to 139.5 cm DBH and 2.3 to 38.8 m in total height.
Adj. pseudo R2 0.87
- Trees measured
- 1,156
- DBH range
- 1–109.1 cm
- Height range
- 1.2–51.9 m
- R²
- 0.87
- Method
- nonlinear least squares height-diameter model; R2 is the adjusted pseudo R2
- Where
- Non-flooded terra-firme forest, National Forest of Amapá (NFA), Brazil
- Last checked
- 2026-11-02
Calculate
14.55
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 = 10 | 14.6 | 14.6 | Computed from the printed form computed from the published form (coefficients as printed) |
| D = 30 | 27.8 | 27.8 | Computed from the printed form computed from the published form (coefficients as printed) |
| D = 60 | 36 | 36 | Computed from the printed form computed from the published form (coefficients as printed) |
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