Tree Allometrics

Equations / Height

Tanzania Cultivated land, height from D (base model, Table 4)

HeightMixed tree species, Cultivated landTanzaniamixedRead from the original paper
Many species, no single photo
Equation

As printed (Table 4, Cultivated land row)

1.3 + 13.6509 × (1 − exp(−0.06223 × D0.8600))

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

Height = 1.3 + 13.6509 * (1 - exp(-0.06223 * D^0.86))
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 1866
Trees measured · Table 1, H, Cultivated column
Trees measured
1,866
DBH range
1–149.9 cm
Height range
1.5–35 m
Method
nonlinear mixed-effects regression (random effect on cluster), Weibull form
Where
Tanzania Mainland, NAFORMA inventory (Cultivated land)
Last checked
2026-11-02
Calculate
4.302
Height (m)
Fitted DBH range024681012510152025303540DBH (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 = 54.34.3Computed from the printed form
computed from the published form (coefficients as printed)
D = 208.938.93Computed from the printed form
computed from the published form (coefficients as printed)
D = 5012.712.7Computed from the printed form
computed from the published form (coefficients as printed)

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