Tree Allometrics

Larix czekanowskii / Stem volume

Chekanovsky larch stem volume from D and H, weighted (Table 2, selected)

Stem volumeLarix czekanowskii · PinaceaeMongolianaturalRead from the original paper
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Equation

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

W lnŶ = lna + b × lnD + c × lnH -11.416 0.903 2.900 CF 1.000

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

Stem volume = exp(-11.416 + 0.903 * ln(D) + 2.9 * ln(H))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Paper is in Mongolian; table values quoted as printed. Weighted (W) regression row; printed CF 1.000, so no correction applies. 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
Чекановскийн шинэсэн ойгоос авсан 10 шинэс модны ... диаметр 18.6 (5.3-40.0) см, өндөр 10.9 (4.6-19.2) м
Trees measured · Results p. 120
Trees measured
10
DBH range
5.3–40 cm
Height range
4.6–19.2 m
Correction factor
1 (applied)
Method
log-log regression, weighted
Where
Bayangol, Norovlin sum, Khentii, Mongolia (Eree Nuruu)
Last checked
2026-11-02
Calculate
Height from
0.173
Stem volume (m³)
Fitted DBH range00.050.10.150.20.250.30.35510152025303540DBH (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 = 110.1730.173Computed 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 = 160.8480.848Computed 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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