Equations / Height

Height from DBH, natural-log model (Table 3)

HeightMixed tree species of ombrophilous/seasonal forest ecotone (65 fallen trees)BrazilnaturalRead from the original paper

Many species, no single photo

Equation

As printed (Table 3)

Natural Logarithm Y = β0 + β1 × ln X -15.3629 10.9623 - 3.350 0.7144 157.21

In this library's units, ready to compute (m)

Height = -15.3629 + 10.9623 * ln(D)

D: Diameter at breast height (1.3 m), cm

Second-ranked model. H = β0 + β1·ln(D); natural log. 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).

Source

Barbosa, R.I., Ramírez-Narváez, P.N., Fearnside, P.M., Villacorta, C.D.A., Carvalho, L.C. da S. (2019). Allometric models to estimate tree height in northern Amazonian ecotone forests. Acta Amazonica, 49(2), 81-90.

doi:10.1590/1809-4392201801642 · Open access · copy we read

A total of 65 individual trees were sampled

Trees measured · Material and Methods, Sampling design

with stem diameter ≥10 cm

Smallest DBH · Material and Methods, Sampling design

(mean ± CI 0.05 = 24.1 ± 1.5 m; range = 11.7 - 37.7 m)

h min m · Results, paragraph on Figure 3

R² adj

R² · Table 3 column header

Trees measured: 65
DBH range: from 10 cm
Height range: 11.7–37.7 m
R²: 0.7144
Method: Nonlinear/linear regression (CurveExpert/R) on 65 directly measured fallen trees; r2 is the adjusted R² printed in Table 3; Syx = 3.35 m
Where: Maracá Ecological Station (PPBio grid), Roraima, northern Brazilian Amazonia
Last checked: 2026-11-02

Calculate

DBH (cm)

17.48

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 = 20	17.5	17.5	Computed from the printed form hand-computed from the published coefficients in Table 3
D = 40	25.1	25.1	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

Report a problem with this equation · JSON

Height from DBH, logistic power (Table 3) · Barbosa et al. 2019 · DBH
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, logistic power (Table 3) · same paper · Height
Height from DBH, Michaelis-Menten (Table 3, best fit) · same paper · Height
Height from DBH, modified exponential (Table 3) · same paper · Height

Compare these curves

Height from DBH, natural-log model (Table 3)

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