Tree Allometrics

Pinus strobus / Stem biomass

Canadian national equation, eastern white pine, dbh and height (stem wood plus stem bark; Table 4)

Stem biomassPinus strobus · PinaceaeCanadaRead from the original paper
Photo of Pinus strobus
© Forest and Kim Starr · CC BY · iNaturalist
Equation

As printed (Eq. 3)

y wood = β wood1D βwood2Hβwood3 + ewood

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

Stem biomass = 0.017 * D^1.7779 * H^1.137 + 0.0069 * D^1.6589 * H^0.9582
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Stem from ground level to tree top, stem wood plus stem bark; the stem is the sum of the two compartment equations. r2 is the adjusted R² (AdjRSq) of this compartment in Table 5. Fitted on the original scale (weighted nonlinear seemingly unrelated regression), so there is no back-transform correction. Dead branches, cones and fruits are not part of aboveground biomass in this work (Materials). Stand type was not always recorded. Ung, Bernier & Guo (2008) later revised parameters for some species with British Columbia data; not used here.

Source
y bark = β bark1D βbark2Hβbark3 + e bark
Equation · Eq. 3
Eastern white pine bwood1 0.0170
Equation · Table 4, Eastern white pine
bwood2 1.7779
Equation · Table 4, Eastern white pine
bwood3 1.1370
Equation · Table 4, Eastern white pine
bbark1 0.0069
Equation · Table 4, Eastern white pine
bbark2 1.6589
Equation · Table 4, Eastern white pine
bbark3 0.9582
Equation · Table 4, Eastern white pine
Eastern white pine 199 28.7±1.1 18.7±0.5 425.8±33.0
Trees measured · Table 2 (No. of trees)
(1.5;68.7) (2.3;38.5) (0.3;2183.1)
Smallest DBH · Table 2, Eastern white pine (ranges of dbh, height, total biomass)
Stem 0.3476 0.90 120.5 2.79 0.0003 0.98 54.5 4.34
R² · Table 5, Eastern white pine (AdjRSq in the dbh- and height-based set, second block)
Trees measured
199
DBH range
1.5–68.7 cm
Height range
2.3–38.5 m
R²
0.98
Method
Nonlinear seemingly unrelated regression with weight functions; additivity constrained so compartments sum to total
Where
Ontario and Quebec, Canada (ENFOR archival data, early 1980s)
Last checked
2026-11-03
Calculate
Height from
89.3
Stem biomass (kg)
42
Carbon (kg), ×0.47
154
CO₂e (kg), ×44/12
Fitted DBH range050100150200250300350510152025303540DBH (cm)Stem biomass (kg)Stem 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 = 20, H = 1589.389.3Computed from the printed form
computed from the published form at dbh = 20 cm, H = 15 m

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