Tree Allometrics

Magnolia champaca / Stem volume

M. champaca stem volume from DBH and height, 10–30 cm (Table 3)

Stem volumeMagnolia champaca · MagnoliaceaeIndianaturalRead from the original paper
Photo of Magnolia champaca
© Ong Jyh Seng · CC BY-SA · iNaturalist
Equation

As printed (Table 3, Diameter class 10–30 cm)

V = 0.372*d2*h

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

Stem volume = 0.372 * (D/100)^2 * H
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Class-specific model: use only for trees in the stated DBH class. Non-destructive: volumes of standing trees were summed from laser-rangefinder frustum measurements (stem volume), not felled. The paper states d and h in metres, so published units use m; canonical form divides D (cm) by 100. Adj. R² and SE are printed per class but not stored (adj. R² is not R²). The class bounds are the sampling classes; the paper gives no measured DBH range. The paper also gives biomass = stem volume x wood specific gravity (not a fitted model, not added).

Source
all the parameters were converted into metres, and volume was calculated in cubic metres
Units · Statistical analysis (Methods)
n = 75, 25 trees for each diameter class
Trees measured · Table 1 footnote
All the trees were divided into three diameter classes according to their DBH, viz. 10–30, 31–50 and >50 cm
Smallest DBH · Statistical analysis (Methods)
Trees measured
25
DBH range
10–30 cm
Method
Linear regression through the origin (SPSS), non-destructive frustum volumes (Newton's formula)
Where
Meghalaya, NE India (Garo, Khasi, Jaintia Hills and Ri-Bhoi districts)
Last checked
2026-11-02
Calculate
Height from
0.268
Stem volume (m³)
Fitted DBH range00.20.40.60.811.2510152025303540DBH (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 = 20, H = 180.2680.268Computed from the printed form
computed from the Table 3 coefficient

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