# Stem volume from DBH and height (M3)

Stem volume equation for Seven dominant species of Chilimo forest (Juniperus procera, Podocarpus falcatus, Olea africana, Allophylus abyssinicus, Olinia rochetiana, Rhus glutinosa, Scolopia theifolia), Ethiopia, from Teshome et al. 2022. 193 trees, DBH 6.2–85 cm. Listed on Tree Allometrics, a free library of tree allometric equations, each quoted from the source that published it.

Fitted on Juniperus procera, Podocarpus falcatus, Olea africana, Allophylus abyssinicus, Olinia rochetiana, Rhus glutinosa, Scolopia theifolia.

## Equation

As printed in Teshome et al. 2022 (Table 1 and Table 4):

> M3 ln(v) = ln(β0) + β1 ln(d^2) + β2 ln(h) + ε ... -9.883 0.962 0.925

Cite: https://treeallometry.org/equations/teshome-2022-vol-m3/#equation

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

```
Stem volume = 1.001 * (exp(-9.883 + 0.962 * ln(D^2) + 0.925 * ln(H)))
```

Inputs: D = Diameter at breast height (1.3 m) (cm); H = Total tree height (m).
The source's own form: exp(-9.883 + 0.962 * ln(d^2) + 0.925 * ln(h)), with d in cm, h in m; output in m3.
Cite: https://treeallometry.org/equations/teshome-2022-vol-m3/#canonical

## What it covers

- Output: Stem volume, m³
- Taxon: Seven dominant species of Chilimo forest (Juniperus procera, Podocarpus falcatus, Olea africana, Allophylus abyssinicus, Olinia rochetiana, Rhus glutinosa, Scolopia theifolia) (mixed species); mixed
- Where: Chilimo dry Afromontane forest, central Ethiopia. Cite: https://treeallometry.org/equations/teshome-2022-vol-m3/#where
- Biomes: montane
- Stand: natural
- Trees measured: 193. Cite: https://treeallometry.org/equations/teshome-2022-vol-m3/#n_trees
- DBH range: 6.2–85 cm. Cite: https://treeallometry.org/equations/teshome-2022-vol-m3/#dbh
- Height range: 5.6–27.4 m. Cite: https://treeallometry.org/equations/teshome-2022-vol-m3/#height
- Correction factor: 1.001 (applied). Cite: https://treeallometry.org/equations/teshome-2022-vol-m3/#cf
- Method: Robust linear regression (rlm, Tukey bisquare) of ln(response) on ln predictors. Cite: https://treeallometry.org/equations/teshome-2022-vol-m3/#method
- Verification: read in the original source
- Last checked: 2026-11-02. Cite: https://treeallometry.org/equations/teshome-2022-vol-m3/#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

Teshome, M., Torres, C.M.M.E., Sileshi, G.W., de Mattos, P.P., Braz, E.M., Temesgen, H., da Rocha, S.J.S.S., Alebachew, M. (2022). Mixed-Species Allometric Equations to Quantify Stem Volume and Tree Biomass in Dry Afromontane Forest of Ethiopia. Open Journal of Forestry, 12(3), 263-296.

- DOI: https://doi.org/10.4236/ojf.2022.123015
- Access: open access
- Copy we read: https://content.scirp.org/pdf/ojf_2022050715212549.pdf
- Every equation from this source: https://treeallometry.org/sources/teshome-2022/
- Cite: https://treeallometry.org/equations/teshome-2022-vol-m3/#source

## The facts, in the source's words

**Equation** (Table 1 and Table 4):

> M3 ln(v) = ln(β0) + β1 ln(d^2) + β2 ln(h) + ε ... -9.883 0.962 0.925

Cite: https://treeallometry.org/equations/teshome-2022-vol-m3/#equation

**Trees measured** (Abstract):

> A total of 193 sampled trees from seven dominant tree species were used to develop the equations.

Cite: https://treeallometry.org/equations/teshome-2022-vol-m3/#quote-fit-n-trees

**DBH range** (Section 3.1):

> The diameter, total height, and wood density ranged between 6.2 and 85.0 cm, 5.6 and 27.4 m

Cite: https://treeallometry.org/equations/teshome-2022-vol-m3/#quote-fit-dbh

**Correction factor** (Supplementary Table S4, p. 293):

> CF 1.001

Cite: https://treeallometry.org/equations/teshome-2022-vol-m3/#quote-fit-cf

**Our note:** cf is left out. Stem volume from Smalian sections of felled trees, over bark, excluding branches and leaves. Range in fit is for the 194 sampled trees (Table 3, Section 3.1). Back-transform CF 1.001 from Table S4 applied in expression.

## 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 = 12 | 0.162 | 0.162 | Computed from the printed form: hand-computed from the published form; CF 1.001 applied |
| D = 50, H = 20 | 1.52 | 1.52 | Computed from the printed form: hand-computed from the published form; CF 1.001 applied |

Cite: https://treeallometry.org/equations/teshome-2022-vol-m3/#checks

## How to cite

Cite the source for the equation: Teshome, M., Torres, C.M.M.E., Sileshi, G.W., de Mattos, P.P., Braz, E.M., Temesgen, H., da Rocha, S.J.S.S., Alebachew, M. (2022). Mixed-Species Allometric Equations to Quantify Stem Volume and Tree Biomass in Dry Afromontane Forest of Ethiopia. Open Journal of Forestry, 12(3), 263-296. https://doi.org/10.4236/ojf.2022.123015

Cite this page for the record and checks: Tree Allometrics (Restoration Scope), "Stem volume from DBH and height (M3)", checked 2026-11-02, https://treeallometry.org/equations/teshome-2022-vol-m3/. 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/teshome-2022-vol-m3.json
Report a problem: email info@restorationscope.com with the equation id (teshome-2022-vol-m3) and where the right value appears.