Tree Allometrics

Equations / Height

Chir pine height from D (M1, power)

HeightPinus roxburghii · PinaceaeNepalnaturalRead from the original paper
Photo of Pinus roxburghii
© Hildegard Klein · CC BY · iNaturalist
Equation

As printed (Results and Discussion, p. 150)

M1 i.e. H = e(-0.276) D0.925 is considered best fitted model

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

Height = exp(-0.276) * D^0.925
D
Diameter at breast height (1.3 m), cm

r2 is the adjusted R2 as printed. RMSE 1.221 (Table 3). Models M2-M5 are printed in Table 3 with parameters rounded (several show -0.000), so only the selected M1 is recorded. 30 trees per diameter class, 6 classes.

Source
Total height and diameter at breast height of 180 trees were measured
Trees measured · Abstract
R2 adj.=0.910
R² · Abstract; Table 3, M1
Minimum 5.57 ... Maximum 61.94
Smallest DBH · Table 1, Diameter (cm) rows (smallest minimum and largest maximum across the six diameter classes)
Trees measured
180
DBH range
5.57–61.94 cm
Height range
2.5–35 m
R²
0.91
Method
nonlinear least squares, H = exp(b0) D^b1 (R2 adj. reported)
Where
Galeshwor Thulo Salleri and Banchare Dil community forests, Ghatan VDC, Myagdi district, west Nepal
Last checked
2026-11-02
Calculate
6.385
Height (m)
Fitted DBH range0510152025510152025303540DBH (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 = 106.386.38Computed from the printed form
computed from the published form (coefficients as printed)
D = 2514.914.9Computed from the printed form
computed from the published form (coefficients as printed)
D = 5028.328.3Computed from the printed form
computed from the published form (coefficients as printed)

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