Tree Allometrics

Equations / Height

Tanzania Pine species, height from D (base model, Table 4)

HeightMixed tree species, Pine speciesTanzaniaplantationRead from the original paper
Many species, no single photo
Equation

As printed (Table 4, Pine species row)

1.3 + 28.5979 × (1 − exp(−0.0064 × D1.6174))

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

Height = 1.3 + 28.5979 * (1 - exp(-0.0064 * D^1.6174))
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.

Source
Number of trees 340
Trees measured · Table 1, H, Pines column
Trees measured
340
DBH range
1.8–54.2 cm
Height range
3–35 m
Method
nonlinear mixed-effects regression (random effect on cluster), Weibull form
Where
Tanzania Mainland, NAFORMA inventory (Pine species)
Last checked
2026-11-02
Calculate
3.67
Height (m)
Fitted DBH range051015202530510152025303540DBH (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 = 53.673.67Computed from the printed form
computed from the published form (coefficients as printed)
D = 2017.217.2Computed from the printed form
computed from the published form (coefficients as printed)
D = 5029.129.1Computed from the printed form
computed from the published form (coefficients as printed)

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