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

Aboveground biomassQuercus rubra · FagaceaeCanadanaturalRead 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 = 0.1754 * D^2.1616 + 0.0381 * D^2.0991 + 0.0085 * D^2.779 + 0.0373 * D^1.674

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 0.1754 bwood2 2.1616 bbark1 0.0381 bbark2 2.0991 bbranches1 0.0085 bbranches2 2.779 bfoliage1 0.0373 bfoliage2 1.674

Equation · Table 3, Red oak (rows transcribed)

Red oak bwood1 0.1754 0.0149

Equation · Table 3

Red oak 117

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

Red oak Total 0.0344 0.91 92.3

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

Trees measured: 117
DBH range: 1.1–55.3 cm
R²: 0.91
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)

175

Aboveground biomass (kg)

82.3

Carbon (kg), ×0.47

302

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	175	175	Computed from the printed form computed from the published form at dbh = 20 cm

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Canadian national equation, black spruce, dbh only (sum of wood, bark, branches, foliage; Table 3) · same paper · Aboveground biomass
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Canadian national equation, sugar maple, dbh only (sum of wood, bark, branches, foliage; Table 3) · same paper · Aboveground biomass
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Compare these curves

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

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