Tree Allometrics

Equations / Height

Tanzania Humid montane forest, height from D (base model, Table 4)

HeightMixed tree species, Humid montane forestTanzanianaturalRead from the original paper
Many species, no single photo
Equation

As printed (Table 4, Humid montane row)

1.3 + 25.6752 × (1 − exp(−0.0536 × D0.8234)

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

Height = 1.3 + 25.6752 * (1 - exp(-0.0536 * D^0.8234))
D
Diameter at breast height (1.3 m), cm

Base model (D only) fitted on NAFORMA data. n_trees and ranges are the Table 1 descriptive statistics for this forest type (the data the model was fitted on). Generalized models with basal area/climate are not captured. Exponent printed flattened in the HTML text (D followed by the exponent); read as D^exponent. Table 4 prints this row with a missing closing parenthesis; closed in the expression.

Source
Number of trees 2111
Trees measured · Table 1, H, Montane column
Trees measured
2,111
DBH range
1–141 cm
Height range
1.5–45 m
Method
nonlinear mixed-effects regression (random effect on cluster), Weibull form
Where
Tanzania Mainland, NAFORMA inventory (Humid montane forest)
Last checked
2026-11-02
Calculate
5.99
Height (m)
Fitted DBH range05101520510152025303540DBH (cm)Height (m)Height

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%.

InputsExpectedWe getFrom
D = 55.995.99Computed from the printed form
computed from the published form (coefficients as printed)
D = 2013.313.3Computed from the printed form
computed from the published form (coefficients as printed)
D = 5020.320.3Computed from the printed form
computed from the published form (coefficients as printed)

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