Tree Allometrics

Acer saccharinum / Stem biomass

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

Stem biomassAcer saccharinum · SapindaceaeCanadaRead from the original paper
Photo of Acer saccharinum
CC0 · iNaturalist
Equation

As printed (Eq. 2)

y wood = β wood1D βwood2 + ewood

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

Stem biomass = 0.2324 * D^2.1 + 0.0278 * D^2.0433
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
Silver maple bwood1 0.2324
Equation · Table 3, Silver maple
bwood2 2.1000
Equation · Table 3, Silver maple
bbark1 0.0278
Equation · Table 3, Silver maple
bbark2 2.0433
Equation · Table 3, Silver maple
Silver maple 40 22.8±2.0 19.4±0.9 351.7±58.1
Trees measured · Table 2 (No. of trees)
(3.7;45.3) (6.6;26.4) (5.7;1163.7)
Smallest DBH · Table 2, Silver maple (ranges of dbh, height, total biomass)
Stem 5.7763 0.97 44.2 1.65 0.0218 0.98 30.9 3.10
R² · Table 5, Silver maple (AdjRSq in the dbh-based set, first block)
Trees measured
40
DBH range
3.7–45.3 cm
R²
0.97
Method
Nonlinear seemingly unrelated regression with weight functions; additivity constrained so compartments sum to total
Where
Ontario, Canada (ENFOR archival data, early 1980s)
Last checked
2026-11-03
Calculate
138
Stem biomass (kg)
64.9
Carbon (kg), ×0.47
238
CO₂e (kg), ×44/12
Fitted DBH range0100200300400500600510152025303540DBH (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 = 20138138Computed from the printed form
computed from the published form at dbh = 20 cm

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