Fagus grandifolia / Stem biomass

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

Stem biomassFagus grandifolia · FagaceaeCanadaRead 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 = 0.1478 * D^2.2986 + 0.012 * D^2.2388

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

Beech bwood1 0.1478

Equation · Table 3, Beech

bwood2 2.2986

Equation · Table 3, Beech

bbark1 0.0120

Equation · Table 3, Beech

bbark2 2.2388

Equation · Table 3, Beech

Beech 177 23.5±0.9 17.5±0.4 405.4±27.3

Trees measured · Table 2 (No. of trees)

(1.8;46.3) (2.9;26.5) (0.7;1372.5)

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

Stem 0.3312 0.90 84.7 2.86 0.0215 0.91 79.9 3.61

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

Trees measured: 177
DBH range: 1.8–46.3 cm
R²: 0.9
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

DBH (cm)

154

Stem biomass (kg)

72.6

Carbon (kg), ×0.47

266

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	154	154	Computed from the printed form computed from the published form at dbh = 20 cm

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Beech on dry sites, stem with bark dry biomass from DBH (Table 3) · Chakraborty et al. 2016 · DBH
Beech saplings on dry sites, stem with bark dry biomass from root-collar diameter (Table 2) · Chakraborty et al. 2016 · Root collar diameter
Canadian national equation, beech, dbh and height (stem wood plus stem bark; Table 4) · Lambert et al. 2005 · DBH + Height
Fagus sylvatica stem with bark biomass (Table 2) · Ruiz-Peinado et al. 2012 · 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, beech, dbh only (stem wood plus stem bark; Table 3)

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