Tree Allometrics

Betula populifolia / Foliage biomass

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

Foliage biomassBetula populifolia · BetulaceaeCanadaRead from the original paper
Photo of Betula populifolia
© Homer Edward Price · CC BY · iNaturalist
Equation

As printed (Eq. 3)

y foliage = β foliage1D βfoliage2Hβfoliage3 + efoliage

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

Foliage biomass = 0.0455 * D^2.6447 * H^(-1.4955)
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Foliage is leaves and twigs. 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
bfoliage1 0.0455
Equation · Table 4, Grey birch
bfoliage2 2.6447
Equation · Table 4, Grey birch
bfoliage3 –1.4955
Equation · Table 4, Grey birch
Grey birch 43 10.3±0.8 8.9±0.5 39.8±6.9
Trees measured · Table 2 (No. of trees)
(2.2;22.7) (2.3;14.9) (0.6;181.0)
Smallest DBH · Table 2, Grey birch (ranges of dbh, height, total biomass)
Foliage 0.0001 0.81 0.5 2.90 0.0008 0.67 0.7 2.18
R² · Table 5, Grey birch (AdjRSq in the dbh- and height-based set, second block)
Trees measured
43
DBH range
2.2–22.7 cm
Height range
2.3–14.9 m
R²
0.67
Method
Nonlinear seemingly unrelated regression with weight functions; additivity constrained so compartments sum to total
Where
Nova Scotia, Canada (ENFOR archival data, early 1980s)
Last checked
2026-11-03
Calculate
Height from
2.19
Foliage biomass (kg)
1.03
Carbon (kg), ×0.47
3.77
CO₂e (kg), ×44/12

Outside the data this model was fitted on: height above the fitted 14.9 m. Results may be unreliable.

Fitted DBH range02468101214510152025303540DBH (cm)Foliage biomass (kg)Foliage 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 = 152.192.19Computed from the printed form
computed from the published form at dbh = 20 cm, H = 15 m

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