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

Stem volume equation for Larix czekanowskii, Mongolia, from Altanzagas et al. 2022. 10 trees, DBH 5.3–40 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 czekanowskii, p. 122):

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

Cite: https://treeallometry.org/equations/altanzagas-2022-vol-czekanowskii-dh-w/#equation

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

```
Stem volume = exp(-11.416 + 0.903 * ln(D) + 2.9 * ln(H))
```

Inputs: D = Diameter at breast height (1.3 m) (cm); H = Total tree height (m).
The source's own form: exp(-11.416 + 0.903 * ln(D) + 2.9 * ln(H)), with D in cm, H in m; output in m3.
Cite: https://treeallometry.org/equations/altanzagas-2022-vol-czekanowskii-dh-w/#canonical

## What it covers

- Output: Stem volume, m³
- Taxon: Larix czekanowskii (species), family Pinaceae; conifer
- Where: Bayangol, Norovlin sum, Khentii, Mongolia (Eree Nuruu). Cite: https://treeallometry.org/equations/altanzagas-2022-vol-czekanowskii-dh-w/#where
- Biomes: boreal, montane
- Stand: natural
- Trees measured: 10. Cite: https://treeallometry.org/equations/altanzagas-2022-vol-czekanowskii-dh-w/#n_trees
- DBH range: 5.3–40 cm. Cite: https://treeallometry.org/equations/altanzagas-2022-vol-czekanowskii-dh-w/#dbh
- Height range: 4.6–19.2 m. Cite: https://treeallometry.org/equations/altanzagas-2022-vol-czekanowskii-dh-w/#height
- Correction factor: 1 (applied). Cite: https://treeallometry.org/equations/altanzagas-2022-vol-czekanowskii-dh-w/#cf
- Method: log-log regression, weighted. Cite: https://treeallometry.org/equations/altanzagas-2022-vol-czekanowskii-dh-w/#method
- Verification: read in the original source
- Last checked: 2026-11-02. Cite: https://treeallometry.org/equations/altanzagas-2022-vol-czekanowskii-dh-w/#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-czekanowskii-dh-w/#source

## The facts, in the source's words

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

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

Cite: https://treeallometry.org/equations/altanzagas-2022-vol-czekanowskii-dh-w/#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-czekanowskii-dh-w/#quote-fit-cf

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

> Чекановскийн шинэсэн ойгоос авсан 10 шинэс модны ... диаметр 18.6 (5.3-40.0) см, өндөр 10.9 (4.6-19.2) м

Cite: https://treeallometry.org/equations/altanzagas-2022-vol-czekanowskii-dh-w/#quote-fit-n-trees

**Our note:** 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.

## 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 = 11 | 0.173 | 0.173 | 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 = 16 | 0.848 | 0.848 | 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-czekanowskii-dh-w/#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), "Chekanovsky larch stem volume from D and H, weighted (Table 2, selected)", checked 2026-11-02, https://treeallometry.org/equations/altanzagas-2022-vol-czekanowskii-dh-w/. 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-czekanowskii-dh-w.json
Report a problem: email info@restorationscope.com with the equation id (altanzagas-2022-vol-czekanowskii-dh-w) and where the right value appears.