Tree Allometrics

Populus balsamifera / Foliage biomass

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

Foliage biomassPopulus balsamifera · SalicaceaeCanadanaturalRead from the original paper
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Equation

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

Populus balsamifera Leaves LLRC 2.028 7.5989 1.037 1.4577 0.832 (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)

Foliage biomass = 7.5989 * 1.4577 * (0.785398163397448 * D30^2)^1.037 / 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
0.832
Correction factor
1.4577 (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
0.0363
Foliage biomass (kg)
0.0171
Carbon (kg), ×0.47
0.0626
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 = 20.03630.0363Computed from the printed form
computed from the published form (coefficients as printed)
D30 = 50.2430.243Computed from the printed form
computed from the published form (coefficients as printed)
D30 = 80.6440.644Computed from the printed form
computed from the published form (coefficients as printed)

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