Equations / Height
Height from DBH, logistic power (Table 3)
As printed (Table 3)
In this library's units, ready to compute (m)
Height = 43.6264 / (1 + (D / 29.7079)^(-1.0709))D- Diameter at breast height (1.3 m), cm
Y = β0 / (1 + (X/β1)^β2) with β2 negative as printed; form read from the typeset Table 2/3 layout (stacked fraction, exponent on (X/β1)) and sanity-checked against Table S1 trees. Stem diameter was measured at 1.30 m, or 0.5 m above buttresses, on recently fallen trees (live or dead). The paper reports no maximum DBH in the text (see Table S1), so dbh_max is left out. Table 3 ranks five models; this is one of the four with fully legible coefficients (the Modified Hoerl row, with b1 = 0.000035, was not used).
doi:10.1590/1809-4392201801642 · Open access · copy we read
A total of 65 individual trees were sampled
with stem diameter ≥10 cm
(mean ± CI 0.05 = 24.1 ± 1.5 m; range = 11.7 - 37.7 m)
R² adj
- Trees measured
- 65
- DBH range
- from 10 cm
- Height range
- 11.7–37.7 m
- R²
- 0.7152
- Method
- Nonlinear/linear regression (CurveExpert/R) on 65 directly measured fallen trees; r2 is the adjusted R² printed in Table 3; Syx = 3.372 m
- Where
- Maracá Ecological Station (PPBio grid), Roraima, northern Brazilian Amazonia
- Last checked
- 2026-11-02
Shaded: the DBH range the model was fitted on. Other inputs held at the values above.
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 = 20 | 17.3 | 17.3 | Computed from the printed form hand-computed from the published coefficients in Table 3 |
| D = 40 | 25.3 | 25.3 | Computed from the printed form hand-computed from the published coefficients in Table 3 |
| D = 70 | 31.2 | 31.2 | Computed from the printed form hand-computed from the published coefficients in Table 3 |
Related
- Height from DBH, Michaelis-Menten (Table 3, best fit) · Barbosa et al. 2019 · DBH
- Height from DBH, modified exponential (Table 3) · Barbosa et al. 2019 · DBH
- Height from DBH, natural-log model (Table 3) · Barbosa et al. 2019 · DBH
- Height from DBH, Michaelis-Menten (Table 3, best fit) · same paper · Height
- Height from DBH, modified exponential (Table 3) · same paper · Height
- Height from DBH, natural-log model (Table 3) · same paper · Height