Fagus grandifolia / Foliage biomass

Canadian national equation, beech, dbh and height (foliage; Table 4)

Foliage biomassFagus grandifolia · FagaceaeCanadaRead from the original paper

Equation

As printed (Eq. 3)

y foliage = β foliage1D βfoliage2Hβfoliage3 + efoliage

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

Foliage biomass = 0.0452 * D^1.5567

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

Foliage is leaves and twigs. Height drops out of the foliage term: the paper leaves its height exponent blank (—, not significantly different from zero). 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

bfoliage1 0.0452

Equation · Table 4, Beech

bfoliage2 1.5567

Equation · Table 4, Beech

bfoliage3 —

Equation · Table 4, 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)

Foliage 0.2004 0.47 4.3 1.32 0.2318 0.48 4.3 1.27

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

Trees measured: 177
DBH range: 1.8–46.3 cm
Height range: 2.9–26.5 m
R²: 0.48
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)

4.79

Foliage biomass (kg)

2.25

Carbon (kg), ×0.47

8.26

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, H = 15	4.79	4.79	Computed from the printed form computed from the published form at dbh = 20 cm, H = 15 m

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Canadian national equation, beech, dbh only (foliage; Table 3) · Lambert et al. 2005 · DBH
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Compare these curves

Canadian national equation, beech, dbh and height (foliage; Table 4)

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