Tree Allometrics

Equations / Aboveground biomass

North American taxa group: Oleaceae < 0.55 spg (Table 5)

Aboveground biomassOleaceae < 0.55 spg (Fraxinus nigra, F. pennsylvanica, Fraxinus spp.) · OleaceaeUnited StatesmixedRead from the original paper

Fitted on these 2 species and others the paper does not name here: Fraxinus nigra, Fraxinus pennsylvanica

Many species, no single photo
Equation

As printed (Table 5 caption, p. 140)

ln(biomass) = β0 + β1 ln(diameter)

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

Aboveground biomass = exp(-2.0314 + 2.3524 * ln(D))
D
Diameter at breast height (1.3 m), cm

Black and green ash, plus 'Fraxinus spp.'. Median specific gravity of the group: 0.51. Diameter range is that of the pseudodata. R² is the published 'R²-statistic'.

Source
Oleaceae < 0.55 spg 0.51 −2.0314 2.3524 54 9 dbh 3–43 0.84
Equation · Table 5 row, p. 140
Oleaceae Fraxinus nigra Ash, black 543 0.45 4
Taxon · Table 3, p. 137
we did not include a correction (Baskerville, 1972) for underestimation
Correction factor · Methods, p. 139
DBH range
3–43 cm
R²
0.84
Method
Weighted regression of ln(biomass) on ln(dbh) fitted to 54 pseudodata points generated from 9 published equations; no back-transform correction
Where
United States (equations compiled from US and Canadian studies)
Last checked
2026-11-03
Calculate
391
Aboveground biomass (kg)
184
Carbon (kg), ×0.47
674
CO₂e (kg), ×44/12
Fitted DBH range05001,0001,5002,000102030405060DBH (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 = 30391391Computed from the printed form
computed from the published form at dbh = 30 cm

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