Canadian national equation, jack pine, dbh only (sum of wood, bark, branches, foliage; Table 3)

Aboveground biomassPinus banksiana · PinaceaeCanadanaturalRead from the original paper

Equation

As printed (Eq. 2)

y wood = β wood1 D^βwood2 + ewood … y bark = β bark1 D^βbark2 + e bark … y foliage = β foliage1 D^βfoliage2 … y branches = β branches1 D^βbranches2

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

Aboveground biomass = 0.0804 * D^2.4041 + 0.0184 * D^2.0703 + 0.0079 * D^2.4155 + 0.0389 * D^1.729

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

Total aboveground biomass = wood + bark + branches + foliage, each a power function of dbh (cm), kg dry mass; the total is the sum of the four compartment equations (additivity by construction). r2 is the adjusted R² of the total. The paper also gives dbh+height equations (Table 4). Ung et al. (2008) later revised parameters for some species with BC 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

bwood1 0.0804 bwood2 2.4041 bbark1 0.0184 bbark2 2.0703 bbranches1 0.0079 bbranches2 2.4155 bfoliage1 0.0389 bfoliage2 1.729

Equation · Table 3, Jack pine (rows transcribed)

Jack pine bwood1 0.0804 0.0042

Equation · Table 3

Jack pine 364

Trees measured · Table 2 (No. of trees; dbh range in parentheses)

Jack pine Total 0.0227 0.94 37.5

R² · Table 5, dbh-based set (σ̂ii, AdjRSq, RMSE in kg)

Trees measured: 364
DBH range: 1.7–41 cm
R²: 0.94
Method: Nonlinear seemingly unrelated regression with weight functions; additivity constrained so compartments sum to total
Where: Canada (ENFOR archival data, early 1980s)
Last checked: 2026-11-01

Calculate

DBH (cm)

135

Aboveground biomass (kg)

63.4

Carbon (kg), ×0.47

232

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	135	135	Computed from the printed form computed from the published form at dbh = 20 cm

Report a problem with this equation · JSON

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Compare these curves

Canadian national equation, jack pine, dbh only (sum of wood, bark, branches, foliage; Table 3)

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