Tree Allometrics

Fraxinus nigra / Foliage biomass

Canadian national equation, black ash, dbh only (foliage; Table 3)

Foliage biomassFraxinus nigra · OleaceaeCanadaRead from the original paper
No openly licensed photo yet
Equation

As printed (Eq. 2)

y foliage = β foliage1D βfoliage2 + efoliage

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

Foliage biomass = 0.0538 * D^1.3584
D
Diameter at breast height (1.3 m), cm

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 0.0538
Equation · Table 3, Black ash
bfoliage2 1.3584
Equation · Table 3, Black ash
Black ash 73 16.2±1.2 14.4±0.6 142.0±21.6
Trees measured · Table 2 (No. of trees)
(2.0;43.1) (2.6;22.9) (1.0;926.4)
Smallest DBH · Table 2, Black ash (ranges of dbh, height, total biomass)
Foliage 0.0542 0.57 1.7 1.35 0.0107 0.60 1.6 1.89
R² · Table 5, Black ash (AdjRSq in the dbh-based set, first block)
Trees measured
73
DBH range
2–43.1 cm
R²
0.57
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
3.15
Foliage biomass (kg)
1.48
Carbon (kg), ×0.47
5.43
CO₂e (kg), ×44/12
Fitted DBH range0246810510152025303540DBH (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 = 203.153.15Computed from the printed form
computed from the published form at dbh = 20 cm

Report a problem with this equation · JSON

Related

Compare these curves