Tree Allometrics

Ostrya virginiana / Aboveground biomass

Canadian national equation, hop-hornbeam, dbh only (sum of wood, bark, branches, foliage; Table 3)

Aboveground biomassOstrya virginiana · BetulaceaeCanadaRead from the original paper
Photo of Ostrya virginiana
© 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 = 0.1929 * D^1.9672 + 0.0671 * D^1.5911 + 0.0278 * D^2.1336 + 0.0293 * D^1.9502
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
Hop-hornbeam bwood1 0.1929
Equation · Table 3, Hop-hornbeam
bwood2 1.9672
Equation · Table 3, Hop-hornbeam
bbark1 0.0671
Equation · Table 3, Hop-hornbeam
bbark2 1.5911
Equation · Table 3, Hop-hornbeam
bbranches1 0.0278
Equation · Table 3, Hop-hornbeam
bbranches2 2.1336
Equation · Table 3, Hop-hornbeam
bfoliage1 0.0293
Equation · Table 3, Hop-hornbeam
bfoliage2 1.9502
Equation · Table 3, Hop-hornbeam
Hop-hornbeam 14 7.7±0.9 8.6±0.4 20.0±6.4
Trees measured · Table 2 (No. of trees)
(5.2;18.5) (6.3;11.9) (6.3;86.8)
Smallest DBH · Table 2, Hop-hornbeam (ranges of dbh, height, total biomass)
Total 0.0679 0.92 6.9 2.73 15.6629 0.97 4.0 —
R² · Table 5, Hop-hornbeam (AdjRSq in the dbh-based set, first block)
Trees measured
14
DBH range
5.2–18.5 cm
R²
0.92
Method
Nonlinear seemingly unrelated regression with weight functions; additivity constrained so compartments sum to total
Where
Ontario, Canada (ENFOR archival data, early 1980s)
Last checked
2026-11-03
Calculate
105
Aboveground biomass (kg)
49.1
Carbon (kg), ×0.47
180
CO₂e (kg), ×44/12

Outside the data this model was fitted on: DBH above the fitted 18.5 cm. Results may be unreliable.

Fitted DBH range0100200300400500510152025303540DBH (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 = 20105105Computed from the printed form
computed from the published form at dbh = 20 cm

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