Tree Allometrics

Populus balsamifera / Aboveground biomass

Canadian national equation, balsam poplar, dbh and height (sum of wood, bark, branches, foliage; Table 4)

Aboveground 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)

Aboveground biomass = 0.0117 * D^1.7757 * H^1.2555 + 0.018 * D^1.8131 * H^0.5144 + 0.0112 * D^3.0861 * H^(-0.7164) + 0.0617 * D^1.8615 * H^(-0.5375)

D: Diameter at breast height (1.3 m), cm
H: Total tree height, m

Total aboveground biomass = wood + bark + branches + foliage, each fitted as its own equation; the total is their sum (additivity by construction). 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

Lambert, M.-C., Ung, C.-H., Raulier, F. (2005). Canadian national tree aboveground biomass equations. Canadian Journal of Forest Research, 35(8), 1996–2018.

doi:10.1139/x05-112 · Paywalled · copy we read

y bark = β bark1D βbark2Hβbark3 + e bark

Equation · Eq. 3

y branches = β branches1D βbranches2Hβbranches3 + e branches

Equation · Eq. 3

y foliage = β foliage1D βfoliage2Hβfoliage3 + efoliage

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

bbranches1 0.0112

Equation · Table 4, Balsam poplar

bbranches2 3.0861

Equation · Table 4, Balsam poplar

bbranches3 –0.7164

Equation · Table 4, Balsam poplar

bfoliage1 0.0617

Equation · Table 4, Balsam poplar

bfoliage2 1.8615

Equation · Table 4, Balsam poplar

bfoliage3 –0.5375

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)

Total 0.0049 0.91 67.7 4.02 0.0241 0.94 56.9 3.41

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: 0.94
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

DBH (cm)Height (m)

Height from

109

Aboveground biomass (kg)

51.1

Carbon (kg), ×0.47

187

CO₂e (kg), ×44/12

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%.

Inputs	Expected	We get	From
D = 20, H = 15	109	109	Computed from the printed form computed from the published form at dbh = 20 cm, H = 15 m

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Related

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Canadian national equation, alpine fir, dbh only (branches; Table 3) · same paper · Branch biomass
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Canadian national equation, alpine fir, dbh and height (stem wood plus stem bark; Table 4) · same paper · Stem biomass
Canadian national equation, alpine fir, dbh and height (sum of wood, bark, branches, foliage; Table 4) · same paper · Aboveground biomass
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Canadian national equation, alpine fir, dbh only (sum of wood, bark, branches, foliage; Table 3) · same paper · Aboveground biomass

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