Tree Allometrics

Equations / Aboveground biomass

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

Aboveground biomassPicea < 0.35 spg (Picea engelmannii, P. sitchensis) · PinaceaeUnited StatesmixedRead from the original paper

Fitted on these 2 species: Picea engelmannii, Picea sitchensis

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(-3.03 + 2.5567 * ln(D))
D
Diameter at breast height (1.3 m), cm

Western low-specific-gravity spruces: Engelmann and Sitka. Median specific gravity of the group: 0.33. Diameter range is that of the pseudodata. R² is the published 'R²-statistic'.

Source
Picea < 0.35 spg 0.33 −3.0300 2.5567 128 8 dbh 3–283 0.81
Equation · Table 5 row, p. 140
Picea engelmannii Spruce, Engelmann 93 0.33 5
Taxon · Table 2, p. 135
we did not include a correction (Baskerville, 1972) for underestimation
Correction factor · Methods, p. 139
DBH range
3–283 cm
R²
0.81
Method
Weighted regression of ln(biomass) on ln(dbh) fitted to 128 pseudodata points generated from 8 published equations; no back-transform correction
Where
United States (equations compiled from US and Canadian studies)
Last checked
2026-11-03
Calculate
289
Aboveground biomass (kg)
136
Carbon (kg), ×0.47
498
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 = 30289289Computed from the printed form
computed from the published form at dbh = 30 cm

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