Tree Allometrics

Betula alleghaniensis / Aboveground biomass

Canadian national equation, yellow birch, dbh only (sum of wood, bark, branches, foliage; Table 3)

Aboveground biomassBetula alleghaniensis · BetulaceaeCanadaRead from the original paper
Photo of Betula alleghaniensis
© Douglas Goldman · CC BY-SA · iNaturalist
Equation

As printed (Eq. 2)

y wood = β wood1D βwood2 + ewood

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

Aboveground biomass = 0.1932 * D^2.1569 + 0.0192 * D^2.2475 + 0.0305 * D^2.4044 + 0.1119 * D^1.3973
D
Diameter at breast height (1.3 m), cm

Total aboveground biomass = wood + bark + branches + foliage, each fitted as its own equation; the total is their sum (additivity by construction). 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 βbark2 + e bark
Equation · Eq. 2
y branches = β branches1D βbranches2 + e branches
Equation · Eq. 2
y foliage = β foliage1D βfoliage2 + efoliage
Equation · Eq. 2
Yellow birch bwood1 0.1932
Equation · Table 3, Yellow birch
bwood2 2.1569
Equation · Table 3, Yellow birch
bbark1 0.0192
Equation · Table 3, Yellow birch
bbark2 2.2475
Equation · Table 3, Yellow birch
bbranches1 0.0305
Equation · Table 3, Yellow birch
bbranches2 2.4044
Equation · Table 3, Yellow birch
bfoliage1 0.1119
Equation · Table 3, Yellow birch
bfoliage2 1.3973
Equation · Table 3, Yellow birch
Yellow birch 280 25.7±0.9 16.4±0.3 494.4±34.4
Trees measured · Table 2 (No. of trees)
(0.8;70.3) (2.7;25.6) (0.1;2951.4)
Smallest DBH · Table 2, Yellow birch (ranges of dbh, height, total biomass)
Total 2.8971 0.94 145.5 2.34 0.9527 0.94 135.6 2.59
R² · Table 5, Yellow birch (AdjRSq in the dbh-based set, first block)
Trees measured
280
DBH range
0.8–70.3 cm
R²
0.94
Method
Nonlinear seemingly unrelated regression with weight functions; additivity constrained so compartments sum to total
Where
Canada: Newfoundland and Labrador, Ontario, Quebec (ENFOR archival data, early 1980s)
Last checked
2026-11-03
Calculate
188
Aboveground biomass (kg)
88.4
Carbon (kg), ×0.47
324
CO₂e (kg), ×44/12
Fitted DBH range02004006008001,000510152025303540DBH (cm)Aboveground biomass (kg)Aboveground 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 = 20188188Computed from the printed form
computed from the published form at dbh = 20 cm

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