# Stem biomass from d2h and wood density (M8)

Stem biomass 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 6):

> M8 ln(b) = ln(β0) + β1 ln(d^2 h) + β2 ln(ρ) + ε ... -3.127 0.929 0.278*

Cite: https://treeallometry.org/equations/teshome-2022-stembm-m8/#equation

In this library's units, ready to compute (stem biomass in kg):

```
Stem biomass = 1.001 * (exp(-3.127 + 0.929 * ln(D^2 * H) + 0.278 * ln(rho)))
```

Inputs: D = Diameter at breast height (1.3 m) (cm); H = Total tree height (m); rho = Wood density (oven-dry mass / green volume) (g/cm³).
The source's own form: exp(-3.127 + 0.929 * ln(d^2 * h) + 0.278 * ln(rho)), with d in cm, h in m, rho in g/cm3; output in kg.
Cite: https://treeallometry.org/equations/teshome-2022-stembm-m8/#canonical

## What it covers

- Output: Stem biomass, kg
- 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-stembm-m8/#where
- Biomes: montane
- Stand: natural
- Trees measured: 193. Cite: https://treeallometry.org/equations/teshome-2022-stembm-m8/#n_trees
- DBH range: 6.2–85 cm. Cite: https://treeallometry.org/equations/teshome-2022-stembm-m8/#dbh
- Height range: 5.6–27.4 m. Cite: https://treeallometry.org/equations/teshome-2022-stembm-m8/#height
- Correction factor: 1.001 (applied). Cite: https://treeallometry.org/equations/teshome-2022-stembm-m8/#cf
- Method: Robust linear regression (rlm, Tukey bisquare) of ln(response) on ln predictors. Cite: https://treeallometry.org/equations/teshome-2022-stembm-m8/#method
- Verification: read in the original source
- Last checked: 2026-11-02. Cite: https://treeallometry.org/equations/teshome-2022-stembm-m8/#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-stembm-m8/#source

## The facts, in the source's words

**Equation** (Table 1 and Table 6):

> M8 ln(b) = ln(β0) + β1 ln(d^2 h) + β2 ln(ρ) + ε ... -3.127 0.929 0.278*

Cite: https://treeallometry.org/equations/teshome-2022-stembm-m8/#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-stembm-m8/#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-stembm-m8/#quote-fit-dbh

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

> CF 1.001

Cite: https://treeallometry.org/equations/teshome-2022-stembm-m8/#quote-fit-cf

**Our note:** Stem biomass only (branches and leaves not measured), computed as stem volume times basic wood density of each species, so dry mass. Range in fit is for the 194 sampled trees (Section 3.1). The wood density coefficient (0.278) is marked non-significant at alpha = 0.05 in Table 6. 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, rho = 0.6 | 100 | 100 | Computed from the printed form: hand-computed from the published form; CF 1.001 applied |
| D = 50, H = 20, rho = 0.6 | 883 | 883 | Computed from the printed form: hand-computed from the published form; CF 1.001 applied |

Cite: https://treeallometry.org/equations/teshome-2022-stembm-m8/#checks

The calculator on the page shows carbon as biomass × 0.47 (IPCC 2006 Guidelines, Vol. 4, Ch. 4, Table 4.3) and CO₂e as carbon × 44/12.

## 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 biomass from d2h and wood density (M8)", checked 2026-11-02, https://treeallometry.org/equations/teshome-2022-stembm-m8/. 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-stembm-m8.json
Report a problem: email info@restorationscope.com with the equation id (teshome-2022-stembm-m8) and where the right value appears.