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

Stem volume equation for Larix gmelinii, Mongolia, from Altanzagas et al. 2022. 15 trees, DBH 8.7–42.6 cm. Listed on Tree Allometrics, a free library of tree allometric equations, each quoted from the source that published it.

## Equation

As printed in Altanzagas et al. 2022 (Хүснэгт 2 (Table 2), Larix gmelinii, p. 122):

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

Cite: https://treeallometry.org/equations/altanzagas-2022-vol-gmelinii-d2h-n/#equation

In this library's units, ready to compute (stem volume in m³):

```
Stem volume = 1.031 * exp(-7.829 + 0.748 * ln(D^2 * H))
```

Inputs: D = Diameter at breast height (1.3 m) (cm); H = Total tree height (m).
The source's own form: 1.031 * exp(-7.829 + 0.748 * ln(D^2 * H)), with D in cm, H in m; output in m3.
Cite: https://treeallometry.org/equations/altanzagas-2022-vol-gmelinii-d2h-n/#canonical

## What it covers

- Output: Stem volume, m³
- Taxon: Larix gmelinii (species), family Pinaceae; conifer
- Where: Khaichiin Am, Eree Nuruu (Ereen mountains), Bayan-Uul sum, Dornod aimag, Mongolia. Cite: https://treeallometry.org/equations/altanzagas-2022-vol-gmelinii-d2h-n/#where
- Biomes: boreal, montane
- Stand: natural
- Trees measured: 15. Cite: https://treeallometry.org/equations/altanzagas-2022-vol-gmelinii-d2h-n/#n_trees
- DBH range: 8.7–42.6 cm. Cite: https://treeallometry.org/equations/altanzagas-2022-vol-gmelinii-d2h-n/#dbh
- Height range: 8.2–23.3 m. Cite: https://treeallometry.org/equations/altanzagas-2022-vol-gmelinii-d2h-n/#height
- Correction factor: 1.031 (applied). Cite: https://treeallometry.org/equations/altanzagas-2022-vol-gmelinii-d2h-n/#cf
- Method: log-log regression, unweighted. Cite: https://treeallometry.org/equations/altanzagas-2022-vol-gmelinii-d2h-n/#method
- Verification: read in the original source
- Last checked: 2026-11-02. Cite: https://treeallometry.org/equations/altanzagas-2022-vol-gmelinii-d2h-n/#checked_at

A missing fit statistic is one the source doesn't state, or that we haven't recorded; it is never estimated. Outside the stated DBH range or region, the equation is an extrapolation.

## Source

Altanzagas, B., Altansukh, B., Ariunbaatar, T., & Dorjsuren, C. (2022). Allometric equations for the above-ground biomass of Gmelin larch (Larix gmelinii Rupr.), Chekanovsky larch (Larix czekanowskii Szaf) in the Ereen Forest-Vegetation Province of Mongolia. Mongolian Journal of Botany, 4(30), 115-131.

- DOI: https://doi.org/10.5564/mjb.v4i30.2588
- Access: open access
- Copy we read: https://www.mongoliajol.info/index.php/MJB/article/download/2588/2814
- Every equation from this source: https://treeallometry.org/sources/altanzagas-2022/
- Cite: https://treeallometry.org/equations/altanzagas-2022-vol-gmelinii-d2h-n/#source

## The facts, in the source's words

**Equation** (Хүснэгт 2 (Table 2), Larix gmelinii, p. 122):

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

Cite: https://treeallometry.org/equations/altanzagas-2022-vol-gmelinii-d2h-n/#equation

**Correction factor** (Eqs. 7-8, Methods p. 119):

> ŷ = exp(lnŷ)CF; CF=exp(S²/2)

Cite: https://treeallometry.org/equations/altanzagas-2022-vol-gmelinii-d2h-n/#quote-fit-cf

**Trees measured** (Results p. 120):

> Гмелиний шинэсэн ойгоос авсан 15 шинэс модны ... диаметр 21.6 (8.7-42.6) см, өндөр 13.5 (8.2-23.3) м

Cite: https://treeallometry.org/equations/altanzagas-2022-vol-gmelinii-d2h-n/#quote-fit-n-trees

**Our note:** 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.

## Checks this equation passes

On every build, the library's form and the source'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) |

Cite: https://treeallometry.org/equations/altanzagas-2022-vol-gmelinii-d2h-n/#checks

## How to cite

Cite the source for the equation: Altanzagas, B., Altansukh, B., Ariunbaatar, T., & Dorjsuren, C. (2022). Allometric equations for the above-ground biomass of Gmelin larch (Larix gmelinii Rupr.), Chekanovsky larch (Larix czekanowskii Szaf) in the Ereen Forest-Vegetation Province of Mongolia. Mongolian Journal of Botany, 4(30), 115-131. https://doi.org/10.5564/mjb.v4i30.2588

Cite this page for the record and checks: Tree Allometrics (Restoration Scope), "Gmelin larch stem volume from D²H, unweighted (Table 2, selected)", checked 2026-11-02, https://treeallometry.org/equations/altanzagas-2022-vol-gmelinii-d2h-n/. Data CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Quotes are the authors' words.

Data for this equation: https://treeallometry.org/data/equations/altanzagas-2022-vol-gmelinii-d2h-n.json
Report a problem: email info@restorationscope.com with the equation id (altanzagas-2022-vol-gmelinii-d2h-n) and where the right value appears.