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

Aboveground biomassPicea mariana · 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 = 0.0477 * D^2.5147 + 0.0153 * D^2.2429 + 0.0278 * D^2.0839 + 0.1648 * D^1.4143

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 0.0477 bwood2 2.5147 bbark1 0.0153 bbark2 2.2429 bbranches1 0.0278 bbranches2 2.0839 bfoliage1 0.1648 bfoliage2 1.4143

Equation · Table 3, Black spruce (rows transcribed)

Black spruce bwood1 0.0477 0.0010

Equation · Table 3

Black spruce 1534

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

Black spruce Total 0.0091 0.96 15.2

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

Trees measured: 1,534
DBH range: 1.6–37.2 cm
R²: 0.96
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)

128

Aboveground biomass (kg)

59.9

Carbon (kg), ×0.47

220

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	128	128	Computed from the printed form computed from the published form at dbh = 20 cm

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Norway spruce total above-ground biomass, Model 1c (Eq. 17) · Repola 2009 · DBH + Height
Canadian national equation, jack pine, dbh only (sum of wood, bark, branches, foliage; Table 3) · same paper · Aboveground biomass
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Compare these curves

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

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