Tree Allometrics

Equations / Height

Tanzania Wetland forests, height from D (base model, Table 4)

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

As printed (Table 4, Wetlands row)

1.3 + 20.4098 × exp(−23.1909/(D + 6.7727))

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

Height = 1.3 + 20.4098 * exp(-23.1909 / (D + 6.7727))
D
Diameter at breast height (1.3 m), cm

Base model (D only), Ratkowsky form selected for wetlands (Table 4). n_trees and ranges are the Table 1 statistics for wetlands.

Source
Number of trees 97
Trees measured · Table 1, H, Wetlands column
Trees measured
97
DBH range
2.2–93 cm
Height range
2–25 m
Method
nonlinear mixed-effects regression (random effect on cluster), Ratkowsky form
Where
Tanzania Mainland, NAFORMA inventory (Wetland forests)
Last checked
2026-11-02
Calculate
4.15
Height (m)
Fitted DBH range02468101214510152025303540DBH (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 = 209.889.88Computed from the printed form
computed from the published form (coefficients as printed)
D = 5014.914.9Computed from the printed form
computed from the published form (coefficients as printed)

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