Equations / 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
doi:10.5564/mjb.v4i30.2588 · Open access · copy we read
ŷ = exp(lnŷ)CF; CF=exp(S²/2)
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
- 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)
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%.
| Inputs | Expected | We get | From |
|---|---|---|---|
| D = 20, H = 13 | 0.247 | 0.247 | Computed 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 = 19 | 0.758 | 0.758 | Computed 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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- Chekanovsky larch stem volume from D and H, weighted (Table 2, selected) · Altanzagas et al. 2022 · DBH + Height
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- Chekanovsky larch AGB from D²H, unweighted (Table 3) · same paper · Aboveground biomass
- Chekanovsky larch AGB from D²H, weighted (Table 3) · same paper · Aboveground biomass
- Chekanovsky larch AGB from D and H, weighted (Table 3) · same paper · Aboveground biomass
- Gmelin larch AGB from DBH only, unweighted (Table 3) · same paper · Aboveground biomass
- Gmelin larch AGB from DBH only, weighted (Table 3) · same paper · Aboveground biomass
- Gmelin larch AGB from D²H, unweighted (Table 3) · same paper · Aboveground biomass