Tree Allometrics

Equations / Aboveground biomass

North American taxa group: Betulaceae 0.40–0.49 spg (Table 5)

Aboveground biomassBetulaceae 0.40–0.49 spg (Betula papyrifera, B. populifolia) · BetulaceaeUnited StatesmixedRead from the original paper

Fitted on these 2 species: Betula papyrifera, Betula populifolia

2 of the 2 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(-2.2271 + 2.4513 * ln(D))
D
Diameter at breast height (1.3 m), cm

Paper and gray birch. Median specific gravity of the group: 0.47. Diameter range is that of the pseudodata. R² is the published 'R²-statistic'.

Source
Betulaceae 0.40–0.49 spg 0.47 −2.2271 2.4513 145 29 dbh 3–51 0.81
Equation · Table 5 row, p. 140
Betulaceae Betula papyrifera Birch, paper 375 0.48
Taxon · Table 3, p. 136
we did not include a correction (Baskerville, 1972) for underestimation
Correction factor · Methods, p. 139
DBH range
3–51 cm
R²
0.81
Method
Weighted regression of ln(biomass) on ln(dbh) fitted to 145 pseudodata points generated from 29 published equations; no back-transform correction
Where
United States (equations compiled from US and Canadian studies)
Last checked
2026-11-03
Calculate
450
Aboveground biomass (kg)
212
Carbon (kg), ×0.47
776
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 = 30450450Computed from the printed form
computed from the published form at dbh = 30 cm

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