Tree Allometrics

Pinus strobus / Aboveground biomass

Canadian national equation, eastern white pine, dbh and height (sum of wood, bark, branches, foliage; Table 4)

Aboveground 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)

Aboveground biomass = 0.017 * D^1.7779 * H^1.137 + 0.0069 * D^1.6589 * H^0.9582 + 0.0184 * D^3.1968 * H^(-1.0876) + 0.0584 * D^2.2389 * H^(-0.5968)
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Total aboveground biomass = wood + bark + branches + foliage, each fitted as its own equation; the total is their sum (additivity by construction). 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
y branches = β branches1D βbranches2Hβbranches3 + e branches
Equation · Eq. 3
y foliage = β foliage1D βfoliage2Hβfoliage3 + efoliage
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
bbranches1 0.0184
Equation · Table 4, Eastern white pine
bbranches2 3.1968
Equation · Table 4, Eastern white pine
bbranches3 –1.0876
Equation · Table 4, Eastern white pine
bfoliage1 0.0584
Equation · Table 4, Eastern white pine
bfoliage2 2.2389
Equation · Table 4, Eastern white pine
bfoliage3 –0.5968
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)
Total 0.3142 0.95 106.1 2.76 0.0119 0.98 65.6 3.40
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
113
Aboveground biomass (kg)
53
Carbon (kg), ×0.47
194
CO₂e (kg), ×44/12
Fitted DBH range0100200300400500510152025303540DBH (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 = 20, H = 15113113Computed from the printed form
computed from the published form at dbh = 20 cm, H = 15 m

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