Tree Allometrics

Pinus contorta / Aboveground biomass

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

Aboveground biomassPinus contorta var. latifolia · PinaceaeCanadaRead from the original paper

Photo of Pinus contorta var. latifolia

Equation

As printed (Eq. 3)

y wood = β wood1D βwood2Hβwood3 + ewood

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

Aboveground biomass = 0.0202 * D^1.7179 * H^1.2078 + 0.0099 * D^1.6049 * H^0.7456 + 0.044 * D^3.719 * H^(-2.0399) + 0.0785 * D^2.5377 * H^(-1.1213)

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

Lodgepole pine bwood1 0.0202

Equation · Table 4, Lodgepole pine

bwood2 1.7179

Equation · Table 4, Lodgepole pine

bwood3 1.2078

Equation · Table 4, Lodgepole pine

bbark1 0.0099

Equation · Table 4, Lodgepole pine

bbark2 1.6049

Equation · Table 4, Lodgepole pine

bbark3 0.7456

Equation · Table 4, Lodgepole pine

bbranches1 0.0440

Equation · Table 4, Lodgepole pine

bbranches2 3.7190

Equation · Table 4, Lodgepole pine

bbranches3 –2.0399

Equation · Table 4, Lodgepole pine

bfoliage1 0.0785

Equation · Table 4, Lodgepole pine

bfoliage2 2.5377

Equation · Table 4, Lodgepole pine

bfoliage3 –1.1213

Equation · Table 4, Lodgepole pine

Lodgepole pine 201 15.0±0.6 12.7±0.4 99.0±8.8

Trees measured · Table 2 (No. of trees)

(2.5;39.0) (2.5;25.9) (0.8;694.4)

Smallest DBH · Table 2, Lodgepole pine (ranges of dbh, height, total biomass)

Total 0.0357 0.97 21.6 3.00 0.0273 0.98 17.8 2.89

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

Lodgepole pine Pin lodgepole Pinus contorta var. latifolia Engelm.

Taxon · Appendix B, Table B1

Trees measured: 201
DBH range: 2.5–39 cm
Height range: 2.5–25.9 m
R²: 0.98
Method: Nonlinear seemingly unrelated regression with weight functions; additivity constrained so compartments sum to total
Where: Alberta and Yukon, Canada (ENFOR archival data, early 1980s)
Last checked: 2026-11-03

Calculate

DBH (cm)Height (m)

Height from

120

Aboveground biomass (kg)

56.5

Carbon (kg), ×0.47

207

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	120	120	Computed from the printed form computed from the published form at dbh = 20 cm, H = 15 m

Report a problem with this equation · JSON

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