Tree Allometrics

Ostrya virginiana / Stem biomass

Canadian national equation, hop-hornbeam, dbh only (stem wood plus stem bark; Table 3)

Stem 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)

Stem biomass = 0.1929 * D^1.9672 + 0.0671 * D^1.5911
D
Diameter at breast height (1.3 m), cm

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 βbark2 + e bark
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
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)
Stem 35.2605 0.89 5.9 — 0.0035 0.97 3.4 3.87
R² · Table 5, Hop-hornbeam (AdjRSq in the dbh-based set, first block)
Trees measured
14
DBH range
5.2–18.5 cm
R²
0.89
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
77.8
Stem biomass (kg)
36.6
Carbon (kg), ×0.47
134
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 range050100150200250300510152025303540DBH (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 = 2077.877.8Computed from the printed form
computed from the published form at dbh = 20 cm

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