Tree Allometrics

Fraxinus americana / Foliage biomass

Canadian national equation, white ash, dbh and height (foliage; Table 4)

Foliage biomassFraxinus americana · OleaceaeCanadaRead from the original paper
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Equation

As printed (Eq. 3)

y foliage = β foliage1D βfoliage2Hβfoliage3 + efoliage

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

Foliage biomass = 0.0195 * D^1.0509 * H^0.7836
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Foliage is leaves and twigs. 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
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)
Foliage 0.4437 0.51 2.6 0.83 0.2082 0.49 2.7 1.08
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
0.49
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
Height from
3.79
Foliage biomass (kg)
1.78
Carbon (kg), ×0.47
6.53
CO₂e (kg), ×44/12
Fitted DBH range02468510152025303540DBH (cm)Foliage biomass (kg)Foliage 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 = 20, H = 153.793.79Computed from the printed form
computed from the published form at dbh = 20 cm, H = 15 m

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