Tree Allometrics

Acer saccharum / Stem biomass

Canadian national equation, sugar maple, dbh only (stem wood plus stem bark; Table 3)

Stem biomassAcer saccharum · SapindaceaeCanadaRead from the original paper
Photo of Acer saccharum
Kent P. McFarland · CC0 · iNaturalist
Equation

As printed (Eq. 2)

y wood = β wood1D βwood2 + ewood

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

Stem biomass = 0.1315 * D^2.3129 + 0.0631 * D^1.9241
D
Diameter at breast height (1.3 m), cm

Stem from ground level to tree top, stem wood plus stem bark; the stem is the sum of the two compartment equations. 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
y bark = β bark1D βbark2 + e bark
Equation · Eq. 2
Sugar maple bwood1 0.1315
Equation · Table 3, Sugar maple
bwood2 2.3129
Equation · Table 3, Sugar maple
bbark1 0.0631
Equation · Table 3, Sugar maple
bbark2 1.9241
Equation · Table 3, 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)
Stem 0.1279 0.95 76.6 3.05 0.1327 0.96 69.3 2.95
R² · Table 5, Sugar maple (AdjRSq in the dbh-based set, first block)
Trees measured
235
DBH range
2–57.8 cm
R²
0.95
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
154
Stem biomass (kg)
72.6
Carbon (kg), ×0.47
266
CO₂e (kg), ×44/12
Fitted DBH range0100200300400500600700800510152025303540DBH (cm)Stem biomass (kg)Stem 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 = 20154154Computed from the printed form
computed from the published form at dbh = 20 cm

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