Tree Allometrics

Pterocarpus angolensis / Total volume

Total wood volume from DBH and height (Model 3, Table 5)

Total volumePterocarpus angolensis · FabaceaeNamibia, AngolanaturalRead from the original paper
Photo of Pterocarpus angolensis
© i_c_riddell · CC BY · iNaturalist
Equation

As printed (Table 5, Model 3)

V tot = exp(a + b 1 *lnDBH + b 2 *H) ... -8.626 *** 2.232 *** 0.041 ***

In this library's units, ready to compute (m³)

Total volume = exp(-8.626 + 2.232 * ln(D) + 0.041 * H)
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Table 5 caption: 'models with intercept a including the Baskerville correction factor', so the correction is already inside the printed intercept and nothing is added here (no separate CF value is printed). Total over-bark wood volume of the tree including branches and stump. Paper's RSE (0.49 m3 calibration) is on the volume scale, not log scale, so fit.rse is left out; R2 is the printed adjusted R2. Height enters linearly (b2*H), not as ln(H), as printed.

Source
Models for Vtot were established with the data of 69 trees
Trees measured · Section 3.1
diameter at breast height (DBH) in the range of 9 to 73 cm
DBH range · Table 5 caption
Trees measured
69
DBH range
9–73 cm
R²
0.96
Method
Regression on ln scale with Baskerville correction in intercept; adjusted R2
Where
Baikiaea-Pterocarpus woodlands of northern Namibia and southern Angola (MAP 480-700 mm)
Last checked
2026-11-02
Calculate
Height from
0.2
Total volume (m³)
Fitted DBH range00.20.40.60.81510152025303540DBH (cm)Total volume (m³)Total volume

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 = 20, H = 80.20.2Computed from the printed form
hand-computed from the published form
D = 50, H = 141.971.97Computed from the printed form
hand-computed from the published form

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