Tree Allometrics

Populus tremuloides / Aboveground biomass

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

Aboveground biomassPopulus tremuloides · SalicaceaeCanadaRead from the original paper

Photo of Populus tremuloides

Equation

As printed (Eq. 3)

y wood = β wood1D βwood2Hβwood3 + ewood

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

Aboveground biomass = 0.0142 * D^1.9389 * H^1.0572 + 0.0063 * D^2.0819 * H^0.6617 + 0.0137 * D^2.927 * H^(-0.6221) + 0.027 * D^1.6183

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). Height drops out of the foliage term: the paper leaves its height exponent blank (—, not significantly different from zero). 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

Trembling aspen bwood1 0.0142

Equation · Table 4, Trembling aspen

bwood2 1.9389

Equation · Table 4, Trembling aspen

bwood3 1.0572

Equation · Table 4, Trembling aspen

bbark1 0.0063

Equation · Table 4, Trembling aspen

bbark2 2.0819

Equation · Table 4, Trembling aspen

bbark3 0.6617

Equation · Table 4, Trembling aspen

bbranches1 0.0137

Equation · Table 4, Trembling aspen

bbranches2 2.9270

Equation · Table 4, Trembling aspen

bbranches3 –0.6221

Equation · Table 4, Trembling aspen

bfoliage1 0.0270

Equation · Table 4, Trembling aspen

bfoliage2 1.6183

Equation · Table 4, Trembling aspen

bfoliage3 —

Equation · Table 4, Trembling aspen

Trembling aspen 773 17.7±0.4 15.8±0.2 161.7±7.2

Trees measured · Table 2 (No. of trees)

(0.7;47.2) (1.8;28.3) (0.1;1081.5)

Smallest DBH · Table 2, Trembling aspen (ranges of dbh, height, total biomass)

Total 0.0199 0.95 42.6 3.54 0.0009 0.97 34.0 4.41

R² · Table 5, Trembling aspen (AdjRSq in the dbh- and height-based set, second block)

Trees measured: 773
DBH range: 0.7–47.2 cm
Height range: 1.8–28.3 m
R²: 0.97
Method: Nonlinear seemingly unrelated regression with weight functions; additivity constrained so compartments sum to total
Where: Canada: Alberta, Manitoba, Newfoundland and Labrador, Nova Scotia, Northwest Territories, Ontario, Quebec, Saskatchewan, Yukon (ENFOR archival data, early 1980s)
Last checked: 2026-11-03

Calculate

DBH (cm)Height (m)

Height from

122

Aboveground biomass (kg)

57.3

Carbon (kg), ×0.47

210

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	122	122	Computed from the printed form computed from the published form at dbh = 20 cm, H = 15 m

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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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