Equations / Stem volume
Stem volume from DBH and height (M3)
Stem volumeSeven 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
Equation
As printed (Table 1 and Table 4)
M3 ln(v) = ln(β0) + β1 ln(d^2) + β2 ln(h) + ε ... -9.883 0.962 0.925
In this library's units, ready to compute (m³)
Stem volume = 1.001 * (exp(-9.883 + 0.962 * ln(D^2) + 0.925 * ln(H)))D- Diameter at breast height (1.3 m), cm
H- Total tree height, m
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.
Source
doi:10.4236/ojf.2022.123015 · Open access · copy we read
A total of 193 sampled trees from seven dominant tree species were used to develop the equations.
The diameter, total height, and wood density ranged between 6.2 and 85.0 cm, 5.6 and 27.4 m
CF 1.001
- 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
Height from
0.162
Stem volume (m³)
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 | 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 |
Related
- Stem volume from DBH (M1) · Teshome et al. 2022 · DBH
- Stem volume from d2h (M2, best model) · Teshome et al. 2022 · DBH + Height
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- 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