Tree Allometrics

Acer saccharinum / Aboveground biomass

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

Aboveground biomassAcer saccharinum · SapindaceaeCanadaRead from the original paper

Photo of Acer saccharinum

Equation

As printed (Eq. 3)

y wood = β wood1D βwood2Hβwood3 + ewood

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

Aboveground biomass = 0.0274 * D^1.7126 * H^1.1086 + 0.0123 * D^1.825 * H^0.501 + 0.0543 * D^3.7343 * H^(-1.6497) + 6.6808 * D^2.1092 * H^(-2.1697)

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

Silver maple bwood1 0.0274

Equation · Table 4, Silver maple

bwood2 1.7126

Equation · Table 4, Silver maple

bwood3 1.1086

Equation · Table 4, Silver maple

bbark1 0.0123

Equation · Table 4, Silver maple

bbark2 1.8250

Equation · Table 4, Silver maple

bbark3 0.5010

Equation · Table 4, Silver maple

bbranches1 0.0543

Equation · Table 4, Silver maple

bbranches2 3.7343

Equation · Table 4, Silver maple

bbranches3 –1.6497

Equation · Table 4, Silver maple

bfoliage1 6.6808

Equation · Table 4, Silver maple

bfoliage2 2.1092

Equation · Table 4, Silver maple

bfoliage3 –2.1697

Equation · Table 4, 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)

Total 0.2735 0.97 63.9 2.78 0.0138 0.97 64.0 3.66

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

Trees measured: 40
DBH range: 3.7–45.3 cm
Height range: 6.6–26.4 m
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

DBH (cm)Height (m)

Height from

160

Aboveground biomass (kg)

75.2

Carbon (kg), ×0.47

276

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	160	160	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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