Tree Allometrics

Acer saccharum / Aboveground biomass

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

Aboveground biomassAcer saccharum · SapindaceaeCanadanaturalRead from the original paper
Photo of Acer saccharum
Kent P. McFarland · CC0 · iNaturalist
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 = 0.1315 * D^2.3129 + 0.0631 * D^1.9241 + 0.033 * D^2.3741 + 0.0393 * D^1.693
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
bwood1 0.1315 bwood2 2.3129 bbark1 0.0631 bbark2 1.9241 bbranches1 0.033 bbranches2 2.3741 bfoliage1 0.0393 bfoliage2 1.693
Equation · Table 3, Sugar maple (rows transcribed)
Sugar maple bwood1 0.1315 0.0084
Equation · Table 3
Sugar maple 235
Trees measured · Table 2 (No. of trees; dbh range in parentheses)
Sugar maple Total 0.0828 0.97 87.6
R² · Table 5, dbh-based set (σ̂ii, AdjRSq, RMSE in kg)
Trees measured
235
DBH range
2–57.8 cm
R²
0.97
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
201
Aboveground biomass (kg)
94.5
Carbon (kg), ×0.47
347
CO₂e (kg), ×44/12
Fitted DBH range02004006008001,000510152025303540DBH (cm)Aboveground biomass (kg)Aboveground biomass

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%.

InputsExpectedWe getFrom
D = 20201201Computed from the printed form
computed from the published form at dbh = 20 cm

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