Abies balsamea / Stem biomass

Canadian national equation, balsam fir, dbh only (stem wood plus stem bark; Table 3)

Stem biomassAbies balsamea · PinaceaeCanadaRead from the original paper

Equation

As printed (Eq. 2)

y wood = β wood1D βwood2 + ewood

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

Stem biomass = 0.0534 * D^2.403 + 0.0115 * D^2.3484

D: Diameter at breast height (1.3 m), cm

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

Lambert, M.-C., Ung, C.-H., Raulier, F. (2005). Canadian national tree aboveground biomass equations. Canadian Journal of Forest Research, 35(8), 1996–2018.

doi:10.1139/x05-112 · Paywalled · copy we read

y bark = β bark1D βbark2 + e bark

Equation · Eq. 2

Balsam fir bwood1 0.0534

Equation · Table 3, Balsam fir

bwood2 2.4030

Equation · Table 3, Balsam fir

bbark1 0.0115

Equation · Table 3, Balsam fir

bbark2 2.3484

Equation · Table 3, Balsam fir

Balsam fir 639 16.4±0.4 12.2±0.2 103.4±4.7

Trees measured · Table 2 (No. of trees)

(1.5;42.4) (1.6;52.2) (0.5;649.0)

Smallest DBH · Table 2, Balsam fir (ranges of dbh, height, total biomass)

Stem 0.0017 0.96 19.8 4.03 0.0010 0.99 11.6 3.83

R² · Table 5, Balsam fir (AdjRSq in the dbh-based set, first block)

Trees measured: 639
DBH range: 1.5–42.4 cm
R²: 0.96
Method: Nonlinear seemingly unrelated regression with weight functions; additivity constrained so compartments sum to total
Where: Canada: Alberta, Manitoba, Newfoundland and Labrador, Nova Scotia, Ontario, Quebec, Saskatchewan (ENFOR archival data, early 1980s)
Last checked: 2026-11-03

Calculate

DBH (cm)

84.5

Stem biomass (kg)

39.7

Carbon (kg), ×0.47

146

CO₂e (kg), ×44/12

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%.

Inputs	Expected	We get	From
D = 20	84.5	84.5	Computed from the printed form computed from the published form at dbh = 20 cm

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Canadian national equation, alpine fir, dbh and height (stem wood plus stem bark; Table 4) · Lambert et al. 2005 · DBH + Height
Canadian national equation, alpine fir, dbh only (stem wood plus stem bark; Table 3) · Lambert et al. 2005 · DBH
Canadian national equation, balsam fir, dbh and height (stem wood plus stem bark; Table 4) · Lambert et al. 2005 · DBH + Height
Canadian national equation, alpine fir, dbh only (branches; Table 3) · same paper · Branch biomass
Canadian national equation, alpine fir, dbh and height (branches; Table 4) · same paper · Branch biomass
Canadian national equation, alpine fir, dbh and height (foliage; Table 4) · same paper · Foliage biomass
Canadian national equation, alpine fir, dbh and height (stem wood plus stem bark; Table 4) · same paper · Stem biomass
Canadian national equation, alpine fir, dbh and height (sum of wood, bark, branches, foliage; Table 4) · same paper · Aboveground biomass
Canadian national equation, alpine fir, dbh only (foliage; Table 3) · same paper · Foliage biomass
Canadian national equation, alpine fir, dbh only (stem wood plus stem bark; Table 3) · same paper · Stem biomass
Canadian national equation, alpine fir, dbh only (sum of wood, bark, branches, foliage; Table 3) · same paper · Aboveground biomass

Compare these curves

Canadian national equation, balsam fir, dbh only (stem wood plus stem bark; Table 3)

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