Acer rubrum / Aboveground biomass

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

Aboveground biomassAcer rubrum · SapindaceaeCanadaRead from the original paper

Equation

As printed (Eq. 3)

y wood = β wood1D βwood2Hβwood3 + ewood

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

Aboveground biomass = 0.0315 * D^2.0342 * H^0.7485 + 0.0283 * D^2.0907 + 0.0225 * D^2.4106 + 0.0571 * D^1.4898

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 bark, branches, 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

Red maple bwood1 0.0315

Equation · Table 4, Red maple

bwood2 2.0342

Equation · Table 4, Red maple

bwood3 0.7485

Equation · Table 4, Red maple

bbark1 0.0283

Equation · Table 4, Red maple

bbark2 2.0907

Equation · Table 4, Red maple

bbark3 —

Equation · Table 4, Red maple

bbranches1 0.0225

Equation · Table 4, Red maple

bbranches2 2.4106

Equation · Table 4, Red maple

bbranches3 —

Equation · Table 4, Red maple

bfoliage1 0.0571

Equation · Table 4, Red maple

bfoliage2 1.4898

Equation · Table 4, Red maple

bfoliage3 —

Equation · Table 4, Red maple

Red maple 177 19.9±0.8 15.7±0.4 238.6±21.7

Trees measured · Table 2 (No. of trees)

(2.4;56.0) (3.8;25.4) (1.1;1875.9)

Smallest DBH · Table 2, Red maple (ranges of dbh, height, total biomass)

Total 0.0050 0.96 58.8 4.25 0.0020 0.97 51.4 4.40

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

Trees measured: 177
DBH range: 2.4–56 cm
Height range: 3.8–25.4 m
R²: 0.97
Method: Nonlinear seemingly unrelated regression with weight functions; additivity constrained so compartments sum to total
Where: Canada: Nova Scotia, Ontario, Quebec (ENFOR archival data, early 1980s)
Last checked: 2026-11-03

Calculate

DBH (cm)Height (m)

Height from

157

Aboveground biomass (kg)

73.6

Carbon (kg), ×0.47

270

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	157	157	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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Compare these curves

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

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