Tree Allometrics

Ostrya virginiana / Branch biomass

Canadian national equation, hop-hornbeam, dbh only (branches; Table 3)

Branch biomassOstrya virginiana · BetulaceaeCanadaRead from the original paper
Photo of Ostrya virginiana
© Douglas Goldman · CC BY-SA · iNaturalist
Equation

As printed (Eq. 2)

y branches = β branches1D βbranches2 + e branches

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

Branch biomass = 0.0278 * D^2.1336
D
Diameter at breast height (1.3 m), cm

All branches, cut at the stem base (live branches; dead branches excluded). 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
bbranches1 0.0278
Equation · Table 3, Hop-hornbeam
bbranches2 2.1336
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)
Branches 1.2060 0.92 1.1 — 0.5735 0.96 0.8 —
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
16.6
Branch biomass (kg)
7.8
Carbon (kg), ×0.47
28.6
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 range01020304050607080510152025303540DBH (cm)Branch biomass (kg)Branch 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 = 2016.616.6Computed from the printed form
computed from the published form at dbh = 20 cm

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