Tree Allometrics

Equations / Height

Tanzania Grasslands, height from D (base model, Table 4)

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

As printed (Table 4, Grasslands row)

1.3 + 14.7261 × (1 − exp(−0.0536 × D0.8637))

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

Height = 1.3 + 14.7261 * (1 - exp(-0.0536 * D^0.8637))
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 934
Trees measured · Table 1, H, Grasslands column
Trees measured
934
DBH range
1–75 cm
Height range
1.5–33 m
Method
nonlinear mixed-effects regression (random effect on cluster), Weibull form
Where
Tanzania Mainland, NAFORMA inventory (Grasslands)
Last checked
2026-11-02
Calculate
4.15
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 = 54.154.15Computed from the printed form
computed from the published form (coefficients as printed)
D = 208.818.81Computed from the printed form
computed from the published form (coefficients as printed)
D = 501313Computed from the printed form
computed from the published form (coefficients as printed)

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