Tree Allometrics

Betula populifolia / Stem biomass

Canadian national equation, grey birch, dbh and height (stem wood plus stem bark; Table 4)

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

As printed (Eq. 3)

y wood = β wood1D βwood2Hβwood3 + ewood

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

Stem biomass = 0.0295 * D^1.9064 * H^0.9139 + 0.0148 * D^1.8433 * H^0.5021
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

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
y bark = β bark1D βbark2Hβbark3 + e bark
Equation · Eq. 3
Grey birch bwood1 0.0295
Equation · Table 4, Grey birch
bwood2 1.9064
Equation · Table 4, Grey birch
bwood3 0.9139
Equation · Table 4, Grey birch
bbark1 0.0148
Equation · Table 4, Grey birch
bbark2 1.8433
Equation · Table 4, Grey birch
bbark3 0.5021
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)
Stem 0.0066 0.96 7.3 3.18 0.0035 0.98 4.8 3.11
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
0.98
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
120
Stem biomass (kg)
56.6
Carbon (kg), ×0.47
207
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 range0100200300400500510152025303540DBH (cm)Stem biomass (kg)Stem 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 = 15120120Computed from the printed form
computed from the published form at dbh = 20 cm, H = 15 m

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