Tree Allometrics

Equations / Stem volume

Peat swamp forest, non-Dipterocarpaceae group, volume from D (model 1)

Stem volumeNon-dipterocarp species group (P. rostratum, C. soulattri, D. pectinatum, as printed)IndonesianaturalRead from the original paper
Many species, no single photo
Equation

As printed (Best model, non-Dipterocarpaceae group, p. 10 (Tabel 3 model 1))

ln (V ) = -8.398596 + 2.4688 ln (D ) ... R2 97,3 %

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

Stem volume = exp(-8.398596 + 2.4688 * ln(D))
D
Diameter at breast height (1.3 m), cm

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). Caution: Tabel 3 prints identical coefficients for models 1, 2, 5 and 6 in both the Dipterocarpaceae and non-Dipterocarpaceae groups (with different F and Se values), which looks like a typesetting error in the paper; the text on p. 10 attributes this model 1 to the non-Dipterocarpaceae group, which is the reading used here.

Source
Kelompok non-dipterocarpaceae Diameter 13,9 5,6 27,0 6,0 42
Trees measured · Tabel 1, Penyusunan Model
Trees measured
42
DBH range
5.6–27 cm
Height range
6–24 m
R²
0.973
Method
ordinary least squares on ln(V) = a0 + a1 ln(D)
Where
IUPHHK PT Tingang Karya Mandiri peat swamp forest, Central Kalimantan
Last checked
2026-11-02
Calculate
0.038
Stem volume (m³)
Fitted DBH range00.511.522.5510152025303540DBH (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 = 80.03820.0382Computed from the printed form
computed from the published form (coefficients as printed)
D = 150.1800.180Computed from the printed form
computed from the published form (coefficients as printed)
D = 250.6360.636Computed from the printed form
computed from the published form (coefficients as printed)

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