Fraxinus americana / Aboveground biomass

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

Aboveground biomassFraxinus americana · OleaceaeCanadaRead from the original paper

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Equation

As printed (Eq. 3)

y wood = β wood1D βwood2Hβwood3 + ewood

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

Aboveground biomass = 0.0224 * D^1.7438 * H^1.1899 + 0.0126 * D^1.6456 * H^0.7893 + 0.0354 * D^2.3046 + 0.0195 * D^1.0509 * H^0.7836

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). Height drops out of the branches term: the paper leaves its height exponent blank (—, not significantly different from zero). 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

White ash bwood1 0.0224

Equation · Table 4, White ash

bwood2 1.7438

Equation · Table 4, White ash

bwood3 1.1899

Equation · Table 4, White ash

bbark1 0.0126

Equation · Table 4, White ash

bbark2 1.6456

Equation · Table 4, White ash

bbark3 0.7893

Equation · Table 4, White ash

bbranches1 0.0354

Equation · Table 4, White ash

bbranches2 2.3046

Equation · Table 4, White ash

bbranches3 —

Equation · Table 4, White ash

bfoliage1 0.0195

Equation · Table 4, White ash

bfoliage2 1.0509

Equation · Table 4, White ash

bfoliage3 0.7836

Equation · Table 4, White ash

White ash 109 22.3±1.1 17.6±0.4 296.2±28.5

Trees measured · Table 2 (No. of trees)

(2.4;53.7) (3.9;26.9) (1.2;1850.1)

Smallest DBH · Table 2, White ash (ranges of dbh, height, total biomass)

Total 0.0363 0.91 91.0 3.62 0.0491 0.93 78.5 3.38

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

Trees measured: 109
DBH range: 2.4–53.7 cm
Height range: 3.9–26.9 m
R²: 0.93
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

DBH (cm)Height (m)

Height from

158

Aboveground biomass (kg)

74.3

Carbon (kg), ×0.47

273

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	158	158	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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Canadian national equation, white ash, dbh and height (sum of wood, bark, branches, foliage; Table 4)

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