Equations / Branch biomass
Populus balsamifera branch biomass, cross-sectional area at 0.3 m (LLRC)
Branch biomassPopulus balsamifera · SalicaceaeCanadanaturalRead from the original paper
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Equation
As printed (Table 3, Eqs. 2-5)
Populus balsamifera Branches LLRC 1.773 5.8885 1.114 1.4758 0.736 (columns: ln(β), β, α, CF, RMSE, R2); y = βx^α + ε (Eq. 2); y = βx^α × ε (Eq. 4), ε = e^(MSE/2) (Eq. 5)
In this library's units, ready to compute (kg)
Branch biomass = 5.8885 * 1.4758 * (0.785398163397448 * D30^2)^1.114 / 1000D30- Stem diameter at 30 cm, cm
Paper's predictor is cross-sectional area (cm2) of the stem(s) at 0.3 m; converted here to D30 as pi/4 * D30^2 (pi written as 0.785398163397448 * ...), so for multi-stemmed trees D30 is the equivalent diameter of the summed cross-sectional area. Paper output is in g dry mass; canonical form divides by 1000. LLRC correction factor applied as printed in the CF column. Fit range of the predictor is not stated, so none is given.
Source
doi:10.3390/f12020234 · Open access · copy we read
Populus balsamifera 31
- Trees measured
- 31
- R²
- 0.736
- Correction factor
- 1.4758 (applied)
- Method
- linear log regression with correction factor (LLRC), y = β x^α × CF, x = cross-sectional area
- Where
- Sporadic to discontinuous permafrost zone, Taiga Plains and Taiga Shield ecozones, northwestern Canada
- Last checked
- 2026-11-02
Calculate
0.031
Branch biomass (kg)
0.015
Carbon (kg), ×0.47
0.054
CO₂e (kg), ×44/12
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 |
|---|---|---|---|
| D30 = 2 | 0.0311 | 0.0311 | Computed from the printed form computed from the published form (coefficients as printed) |
| D30 = 5 | 0.240 | 0.240 | Computed from the printed form computed from the published form (coefficients as printed) |
| D30 = 8 | 0.683 | 0.683 | Computed from the printed form computed from the published form (coefficients as printed) |
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