Tree Allometrics

Equations / Aboveground biomass

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

Aboveground biomassAbies ≥ 0.35 spg (A. amabilis, A. concolor, A. grandis, A. magnifica, A. procera, Abies spp.) · PinaceaeUnited StatesmixedRead from the original paper

Fitted on these 5 species and others the paper does not name here: Abies amabilis, Abies concolor, Abies grandis, Abies magnifica, Abies procera

4 of the 5 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(-3.1774 + 2.6426 * ln(D))
D
Diameter at breast height (1.3 m), cm

Western firs of higher specific gravity. The group also took equations for 'Abies spp.' (Pacific silver–noble–other firs). Median specific gravity of the group: 0.37. Diameter range is that of the pseudodata. R² is the published 'R²-statistic'.

Source
Abies ≥ 0.35 spg 0.37 −3.1774 2.6426 221 14 dbh 3–236 0.75
Equation · Table 5 row, p. 140
A. amabilis Fir, Pacific silver 11 0.40 4
Taxon · Table 2, p. 135
we did not include a correction (Baskerville, 1972) for underestimation
Correction factor · Methods, p. 139
DBH range
3–236 cm
R²
0.75
Method
Weighted regression of ln(biomass) on ln(dbh) fitted to 221 pseudodata points generated from 14 published equations; no back-transform correction
Where
United States (equations compiled from US and Canadian studies)
Last checked
2026-11-03
Calculate
334
Aboveground biomass (kg)
157
Carbon (kg), ×0.47
575
CO₂e (kg), ×44/12
Fitted DBH range05001,0001,5002,0002,500102030405060DBH (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 = 30334334Computed from the printed form
computed from the published form at dbh = 30 cm

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