Tree Allometrics

Larix gmelinii / Stem volume

Gmelin larch stem volume from D²H, unweighted (Table 2, selected)

Stem volumeLarix gmelinii · PinaceaeMongolianaturalRead from the original paper
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Equation

As printed (Хүснэгт 2 (Table 2), Larix gmelinii, p. 122)

N lnŶ = lna + b × ln(D² × H) -7.829 0.748 CF 1.031

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

Stem volume = 1.031 * exp(-7.829 + 0.748 * ln(D^2 * H))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Paper is in Mongolian; table values quoted as printed. Unweighted (N) regression row; the printed CF is applied as exp(lnŷ) x CF per eq. 8. Adjusted R² and RMSE are in the table but are not stored (adjusted R², and RMSE on the log or weighted scale). Stem volume (m3) from Smalian sections. Natural log assumed from the paper's ln notation.

Source
ŷ = exp(lnŷ)CF; CF=exp(S²/2)
Correction factor · Eqs. 7-8, Methods p. 119
Гмелиний шинэсэн ойгоос авсан 15 шинэс модны ... диаметр 21.6 (8.7-42.6) см, өндөр 13.5 (8.2-23.3) м
Trees measured · Results p. 120
Trees measured
15
DBH range
8.7–42.6 cm
Height range
8.2–23.3 m
Correction factor
1.031 (applied)
Method
log-log regression, unweighted
Where
Khaichiin Am, Eree Nuruu (Ereen mountains), Bayan-Uul sum, Dornod aimag, Mongolia
Last checked
2026-11-02
Calculate
Height from
0.247
Stem volume (m³)
Fitted DBH range00.10.20.30.40.50.60.7510152025303540DBH (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 = 130.2470.247Computed from the printed form
computed from the Table 2 coefficients and the printed back-transform y = exp(lny) x CF (eq. 8)
D = 35, H = 190.7580.758Computed from the printed form
computed from the Table 2 coefficients and the printed back-transform y = exp(lny) x CF (eq. 8)

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