Equations / Stem biomass

Stem biomass from rho d2h (M10, best model)

Stem biomassSeven dominant species of Chilimo forest (Juniperus procera, Podocarpus falcatus, Olea africana, Allophylus abyssinicus, Olinia rochetiana, Rhus glutinosa, Scolopia theifolia)EthiopianaturalRead from the original paper

Fitted on these 7 species: Juniperus procera, Podocarpus falcatus, Olea africana, Allophylus abyssinicus, Olinia rochetiana, Rhus glutinosa, Scolopia theifolia

Photo: (c) avocat, some rights reserved (CC BY), uploaded by avocat — 2 of the 7 species it was fitted on · iNaturalist photos, hover for credit

Photo: (c) Morten Ross, some rights reserved (CC BY), uploaded by Morten Ross — 2 of the 7 species it was fitted on · iNaturalist photos, hover for credit

Equation

As printed (Abstract)

ln(b) = -2.983 + 0.949 * ln(ρ d^2 h)

In this library's units, ready to compute (kg)

Stem biomass = 1.001 * (exp(-2.983 + 0.949 * ln(rho * D^2 * H)))

rho: Wood density (oven-dry mass / green volume), g/cm³
D: Diameter at breast height (1.3 m), cm
H: Total tree height, m

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). Back-transform CF 1.001 from Table S4 applied in expression.

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:10.4236/ojf.2022.123015 · Open access · copy we read

M10 -2.983 0.949

coefficients · Table 6

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

Trees measured · Abstract

The diameter, total height, and wood density ranged between 6.2 and 85.0 cm, 5.6 and 27.4 m, and 0.52 and 0.82 g cm-3

DBH range · Section 3.1

CF 1.001

Correction factor · Supplementary Table S4, p. 293

Trees measured: 193
DBH range: 6.2–85 cm
Height range: 5.6–27.4 m
Correction factor: 1.001 (applied)
Method: Robust linear regression (rlm, Tukey bisquare) of ln(response) on ln predictors
Where: Chilimo dry Afromontane forest, central Ethiopia
Last checked: 2026-11-02

Calculate

Wood density (g/cm³)DBH (cm)Height (m)

Height from

97.3

Stem biomass (kg)

45.7

Carbon (kg), ×0.47

168

CO₂e (kg), ×44/12

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 = 12, rho = 0.6	97.3	97.3	Computed from the printed form hand-computed from the published form; CF 1.001 applied
D = 50, H = 20, rho = 0.6	899	899	Computed from the printed form hand-computed from the published form; CF 1.001 applied

Report a problem with this equation · JSON

Stem biomass from DBH (M7) · Teshome et al. 2022 · DBH
Stem biomass from d2h and wood density (M8) · Teshome et al. 2022 · DBH + Height + Wood density
Stem biomass from DBH, height and wood density (M9) · Teshome et al. 2022 · DBH + Height + Wood density
Stem biomass from DBH (M7) · same paper · Stem biomass
Stem biomass from d2h and wood density (M8) · same paper · Stem biomass
Stem biomass from DBH, height and wood density (M9) · same paper · Stem biomass
Stem volume from DBH (M1) · same paper · Stem volume
Stem volume from d2h (M2, best model) · same paper · Stem volume
Stem volume from DBH and height (M3) · same paper · Stem volume

Compare these curves

Stem biomass from rho d2h (M10, best model)

Related