Tree Allometrics

Populus tremuloides / Stem biomass

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

Stem biomassPopulus tremuloides · SalicaceaeCanadanaturalRead from the original paper
Photo of Populus tremuloides
© Douglas Goldman · CC BY-SA · iNaturalist
Equation

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

Populus tremuloides Stems LLRC 3.770 43.3801 1.067 1.1627 0.95 (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 = 43.3801 * 1.1627 * (0.785398163397448 * D30^2)^1.067 / 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 tremuloides 30
Trees measured · Table 1, No. of Samples
Trees measured
30
R²
0.95
Correction factor
1.1627 (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
0.171
Stem biomass (kg)
0.0804
Carbon (kg), ×0.47
0.295
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 = 20.1710.171Computed from the printed form
computed from the published form (coefficients as printed)
D30 = 51.211.21Computed from the printed form
computed from the published form (coefficients as printed)
D30 = 83.33.3Computed from the printed form
computed from the published form (coefficients as printed)

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