Tree Allometrics

Equations / Stem volume

Peat swamp forest, Dipterocarpaceae group, volume from D and H (model 7)

Stem volumeDipterocarpaceae · DipterocarpaceaeIndonesianaturalRead from the original paper
Covers the whole family
Equation

As printed (Best model, Dipterocarpaceae group, p. 10 (Tabel 3 model 7))

V = 0,000074(D2H)0,954143 R2 = 98,9 %

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

Stem volume = 0.000074 * (D^2 * H)^0.954143
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Volume to a 5 cm top diameter by Smalian's formula on 2 m sections (stem volume, no branches). Diameter was taken at 1.3 m or 20 cm above ground (as printed: 'setinggi dada (1,3 m) atau 20 cm di atas permukaan tanah'); the paper does not say which trees used which. Natural-log form as printed, with no correction factor stated. Fit ranges are those of the model-development subset (70% of the trees, Table 1).

Source
Kelompok dipterocarpaceae Diameter 13,0 6,3 29,2 4,5 42
Trees measured · Tabel 1, Penyusunan Model
Trees measured
42
DBH range
6.3–29.2 cm
Height range
8.2–20.2 m
R²
0.989
Method
ordinary least squares, non-linear power form V = a0 (D2H)^a1
Where
IUPHHK PT Tingang Karya Mandiri peat swamp forest, Central Kalimantan
Last checked
2026-11-02
Calculate
Height from
0.064
Stem volume (m³)
Fitted DBH range00.20.40.60.81510152025303540DBH (cm)Stem volume (m³)Stem 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 = 10, H = 120.06420.0642Computed from the printed form
computed from the published form (coefficients as printed)
D = 20, H = 160.3170.317Computed from the printed form
computed from the published form (coefficients as printed)
D = 28, H = 200.7450.745Computed from the printed form
computed from the published form (coefficients as printed)

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