Tree Allometrics

Acer saccharum / Aboveground biomass

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

Aboveground biomassAcer saccharum · SapindaceaeCanadaRead from the original paper

Photo of Acer saccharum

Equation

As printed (Eq. 3)

y wood = β wood1D βwood2Hβwood3 + ewood

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

Aboveground biomass = 0.0301 * D^2.0313 * H^0.8171 + 0.0103 * D^1.7111 * H^0.8509 + 0.0661 * D^2.594 * H^(-0.4933) + 2.5019 * D^2.4527 * H^(-2.3008)

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

Sugar maple bwood1 0.0301

Equation · Table 4, Sugar maple

bwood2 2.0313

Equation · Table 4, Sugar maple

bwood3 0.8171

Equation · Table 4, Sugar maple

bbark1 0.0103

Equation · Table 4, Sugar maple

bbark2 1.7111

Equation · Table 4, Sugar maple

bbark3 0.8509

Equation · Table 4, Sugar maple

bbranches1 0.0661

Equation · Table 4, Sugar maple

bbranches2 2.5940

Equation · Table 4, Sugar maple

bbranches3 –0.4933

Equation · Table 4, Sugar maple

bfoliage1 2.5019

Equation · Table 4, Sugar maple

bfoliage2 2.4527

Equation · Table 4, Sugar maple

bfoliage3 –2.3008

Equation · Table 4, Sugar maple

Sugar maple 235 24.6±0.9 17.3±0.3 466.9±30.7

Trees measured · Table 2 (No. of trees)

(2.0;57.8) (2.6;26.4) (1.6;2421.1)

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

Total 0.0828 0.97 87.6 3.28 0.1126 0.97 78.8 3.09

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

Trees measured: 235
DBH range: 2–57.8 cm
Height range: 2.6–26.4 m
R²: 0.97
Method: Nonlinear seemingly unrelated regression with weight functions; additivity constrained so compartments sum to total
Where: Ontario and Quebec, Canada (ENFOR archival data, early 1980s)
Last checked: 2026-11-03

Calculate

DBH (cm)Height (m)

Height from

187

Aboveground biomass (kg)

87.9

Carbon (kg), ×0.47

322

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	187	187	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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