Tree Allometrics

Colophospermum mopane / Height

Mopane height from D (power H-D model)

HeightColophospermum mopane · FabaceaeMozambiquenaturalRead from the original paper
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Equation

As printed (Table 8, p. 13)

Power 1.225 ± 0.157 (0.917 to 1.533) 0.616 ± 0.042 (0.533 to 0.699)

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

Height = 1.3 + 1.225 * D^0.616
D
Diameter at breast height (1.3 m), cm

Best 2-parameter height-diameter model per the authors (highest Akaike weight); the 3-parameter models are left out because their parameters are not significant. The fixed 1.3 m offset comes from the model form in Table 2; Table 8 labels the coefficients a and b. n is not restated for this fit, so it is omitted. n = 120 sampled trees (Methods p. 3, Table 3), but Table 5 heads the total-AGB column 'n = 84', so the fitted n may be 84.

Source
H(D) = 1.3 + aDb+ ε
Equation · Table 2, model 5 Power, p. 5
D range (cm) 5–109
Largest DBH · Table 3, row ID 1 (this study), p. 7
Total tree height (m) 4.0 9.3 21.6 52 / 3.8 8.3 14.6 32
h max m · Table 4 (Mabalane and Tambara rows; min and max combined), p. 8
DBH range
5–109 cm
Height range
3.8–21.6 m
Method
nonlinear regression, H(D) = 1.3 + a D^b
Where
Mabalane (Gaza) and Tambara (Manica) districts, mopane woodland
Last checked
2026-11-01
Calculate
9.05
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 = 209.059.05Computed from the printed form
computed from the published form

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