Tree Allometrics

Acer rubrum / Aboveground biomass

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

Aboveground biomassAcer rubrum · SapindaceaeCanadaRead from the original paper
Photo of Acer rubrum
mefisher · CC0 · iNaturalist
Equation

As printed (Eq. 2)

y wood = β wood1D βwood2 + ewood

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

Aboveground biomass = 0.1014 * D^2.3448 + 0.0291 * D^2.0893 + 0.0175 * D^2.4846 + 0.0515 * D^1.5198
D
Diameter at breast height (1.3 m), cm

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
y bark = β bark1D βbark2 + e bark
Equation · Eq. 2
y branches = β branches1D βbranches2 + e branches
Equation · Eq. 2
y foliage = β foliage1D βfoliage2 + efoliage
Equation · Eq. 2
Red maple bwood1 0.1014
Equation · Table 3, Red maple
bwood2 2.3448
Equation · Table 3, Red maple
bbark1 0.0291
Equation · Table 3, Red maple
bbark2 2.0893
Equation · Table 3, Red maple
bbranches1 0.0175
Equation · Table 3, Red maple
bbranches2 2.4846
Equation · Table 3, Red maple
bfoliage1 0.0515
Equation · Table 3, Red maple
bfoliage2 1.5198
Equation · Table 3, 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-based set, first block)
Trees measured
177
DBH range
2.4–56 cm
R²
0.96
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
164
Aboveground biomass (kg)
77
Carbon (kg), ×0.47
283
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 = 20164164Computed from the printed form
computed from the published form at dbh = 20 cm

Report a problem with this equation · JSON

Related

Compare these curves