Tree Allometrics

Gliricidia sepium / Height

Gliricidia sepium height from D (non-rectangular hyperbola, Table 3)

HeightGliricidia sepium · FabaceaeIndonesiaagroforestryRead from the original paper
Photo of Gliricidia sepium
葉子 · CC0 · iNaturalist
Equation

As printed (Table 3)

y = 0.5 x (a x x + b - sqrt((a x x + c)^2 - 4 x a x x x b)); H on DBH: a 1.0901, b 10.941, c 11.0, r 0.722

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

Height = 0.5 * (1.0901 * D + 10.941 - sqrt((1.0901 * D + 11.0)^2 - 4 * 1.0901 * D * 10.941))
D
Diameter at breast height (1.3 m), cm

Formula typeset exactly as in the Table 3 caption. Authors state the best fit was obtained with maximum height fixed at 11 m (c = 11.0). Only a multiple correlation coefficient (r = 0.722) is given, not R2, so none is recorded.

Source
28 G. sepium trees
Trees measured · Field measurements
Trees measured
28
DBH range
7–44.1 cm
Height range
7.3–12.9 m
Method
non-rectangular hyperbola (Thornley 1976), maximum height fixed at 11 m
Where
Bulili, Kecamatan Palolo, Central Sulawesi (shade trees in cacao agroforestry)
Last checked
2026-11-02
Calculate
10.1
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 = 1010.110.1Computed from the printed form
computed from the published form (coefficients as printed)
D = 3010.910.9Computed from the printed form
computed from the published form (coefficients as printed)

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