Tree Allometrics

Equations / Aboveground biomass

North American taxa group: Abies < 0.35 spg (Table 5)

Aboveground biomassAbies < 0.35 spg (Abies balsamea, A. fraseri, A. lasiocarpa) · PinaceaeUnited StatesmixedRead from the original paper

Fitted on these 3 species: Abies balsamea, Abies fraseri, Abies lasiocarpa

3 of the 3 species it was fitted on · iNaturalist photos, hover for credit
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(-2.3123 + 2.3482 * ln(D))
D
Diameter at breast height (1.3 m), cm

Low-specific-gravity firs: balsam, Fraser and subalpine fir. Median specific gravity of the group: 0.33. Diameter range is that of the pseudodata. R² is the published 'R²-statistic'.

Source
Abies < 0.35 spg* 0.33 −2.3123 2.3482 131 20 dbh 3–69 0.75
Equation · Table 5 row, p. 140
Abies balsamea Fir, balsam 12 0.33 12
Taxon · Table 2, p. 135
we did not include a correction (Baskerville, 1972) for underestimation
Correction factor · Methods, p. 139
DBH range
3–69 cm
R²
0.75
Method
Weighted regression of ln(biomass) on ln(dbh) fitted to 131 pseudodata points generated from 20 published equations; no back-transform correction
Where
United States (equations compiled from US and Canadian studies)
Last checked
2026-11-03
Calculate
291
Aboveground biomass (kg)
137
Carbon (kg), ×0.47
502
CO₂e (kg), ×44/12
Fitted DBH range02004006008001,0001,2001,4001,600102030405060DBH (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 = 30291291Computed from the printed form
computed from the published form at dbh = 30 cm

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