Tree Allometrics

Equations / Height

Tanzania All Tanzania Mainland forest types (regional model), height from D (base model, Table 4)

HeightMixed tree species, All Tanzania Mainland forest types (regional model)TanzaniamixedRead from the original paper
Many species, no single photo
Equation

As printed (Table 4, Reginal (sic) row)

1.3 + 30.2116 × (1 − exp(−0.0379 × D0.7451))

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

Height = 1.3 + 30.2116 * (1 - exp(-0.0379 * D^0.7451))
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 Reginal (sic).

Source
Number of trees 31782
Trees measured · Table 1, H, All column
Trees measured
31,782
DBH range
1–149.9 cm
Height range
1.3–45 m
Method
nonlinear mixed-effects regression (random effect on cluster), Weibull form
Where
Tanzania Mainland, NAFORMA inventory (All Tanzania Mainland forest types (regional model))
Last checked
2026-11-02
Calculate
4.87
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 = 54.874.87Computed from the printed form
computed from the published form (coefficients as printed)
D = 2010.310.3Computed from the printed form
computed from the published form (coefficients as printed)
D = 5016.516.5Computed from the printed form
computed from the published form (coefficients as printed)

Report a problem with this equation · JSON

Related