Tree Allometrics

Populus balsamifera / Stem biomass

Canadian national equation, balsam poplar, dbh and height (stem wood plus stem bark; Table 4)

Stem biomassPopulus balsamifera · SalicaceaeCanadaRead from the original paper
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Equation

As printed (Eq. 3)

y wood = β wood1D βwood2Hβwood3 + ewood

In this library's units, ready to compute (kg)

Stem biomass = 0.0117 * D^1.7757 * H^1.2555 + 0.018 * D^1.8131 * H^0.5144
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Stem from ground level to tree top, stem wood plus stem bark; the stem is the sum of the two compartment equations. r2 is the adjusted R² (AdjRSq) of this compartment in Table 5. Fitted on the original scale (weighted nonlinear seemingly unrelated regression), so there is no back-transform correction. Dead branches, cones and fruits are not part of aboveground biomass in this work (Materials). Stand type was not always recorded. Ung, Bernier & Guo (2008) later revised parameters for some species with British Columbia data; not used here.

Source
y bark = β bark1D βbark2Hβbark3 + e bark
Equation · Eq. 3
Balsam poplar bwood1 0.0117
Equation · Table 4, Balsam poplar
bwood2 1.7757
Equation · Table 4, Balsam poplar
bwood3 1.2555
Equation · Table 4, Balsam poplar
bbark1 0.0180
Equation · Table 4, Balsam poplar
bbark2 1.8131
Equation · Table 4, Balsam poplar
bbark3 0.5144
Equation · Table 4, Balsam poplar
Balsam poplar 207 21.5±0.8 16.3±0.4 199.6±16.1
Trees measured · Table 2 (No. of trees)
(2.0;53.2) (3.3;27.0) (0.5;1516.3)
Smallest DBH · Table 2, Balsam poplar (ranges of dbh, height, total biomass)
Stem 0.0054 0.92 54.6 3.90 0.0149 0.95 43.4 3.39
R² · Table 5, Balsam poplar (AdjRSq in the dbh- and height-based set, second block)
Trees measured
207
DBH range
2–53.2 cm
Height range
3.3–27 m
R²
0.95
Method
Nonlinear seemingly unrelated regression with weight functions; additivity constrained so compartments sum to total
Where
Canada: Alberta, Manitoba, Northwest Territories, Ontario, Saskatchewan (ENFOR archival data, early 1980s)
Last checked
2026-11-03
Calculate
Height from
88.2
Stem biomass (kg)
41.4
Carbon (kg), ×0.47
152
CO₂e (kg), ×44/12
Fitted DBH range050100150200250300350510152025303540DBH (cm)Stem biomass (kg)Stem biomass

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%.

InputsExpectedWe getFrom
D = 20, H = 1588.288.2Computed from the printed form
computed from the published form at dbh = 20 cm, H = 15 m

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