Tree Allometrics

Populus balsamifera / Stem biomass

Populus balsamifera stem biomass, cross-sectional area at 0.3 m (LLRC)

Stem biomassPopulus balsamifera · SalicaceaeCanadanaturalRead from the original paper
No openly licensed photo yet
Equation

As printed (Table 3, Eqs. 2-5)

Populus balsamifera Stems LLRC 3.805 44.9253 1.132 1.1648 0.919 (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)

Stem biomass = 44.9253 * 1.1648 * (0.785398163397448 * D30^2)^1.132 / 1000
D30
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
Populus balsamifera 31
Trees measured · Table 1, No. of Samples
Trees measured
31
R²
0.919
Correction factor
1.1648 (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
0.191
Stem biomass (kg)
0.0899
Carbon (kg), ×0.47
0.33
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%.

InputsExpectedWe getFrom
D30 = 20.1910.191Computed from the printed form
computed from the published form (coefficients as printed)
D30 = 51.521.52Computed from the printed form
computed from the published form (coefficients as printed)
D30 = 84.414.41Computed from the printed form
computed from the published form (coefficients as printed)

Report a problem with this equation · JSON

Related

Compare these curves