Tree Allometrics

Equations / Height

Tanzania Miombo woodlands, height from D (base model, Table 4)

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

As printed (Table 4, Woodlands row)

1.3 + 24.3701 × (1 − exp(−0.0405 × D0.8070))

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

Height = 1.3 + 24.3701 * (1 - exp(-0.0405 * D^0.807))
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 labels the row Woodlands; Table 1 column is Miombo, used for n and ranges.

Source
Number of trees 20080
Trees measured · Table 1, H, Miombo column
Trees measured
20,080
DBH range
1–123.4 cm
Height range
1.3–36 m
Method
nonlinear mixed-effects regression (random effect on cluster), Weibull form
Where
Tanzania Mainland, NAFORMA inventory (Miombo woodlands)
Last checked
2026-11-02
Calculate
4.66
Height (m)
Fitted DBH range0246810121416510152025303540DBH (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 = 54.664.66Computed from the printed form
computed from the published form (coefficients as printed)
D = 2010.210.2Computed from the printed form
computed from the published form (coefficients as printed)
D = 5016.316.3Computed from the printed form
computed from the published form (coefficients as printed)

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