Tree Allometrics

Ostrya virginiana / Aboveground biomass

Canadian national equation, hop-hornbeam, dbh and height (sum of wood, bark, branches, foliage; Table 4)

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

As printed (Eq. 3)

y wood = β wood1D βwood2Hβwood3 + ewood

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

Aboveground biomass = 0.0083 * D^1.6534 * H^1.7479 + 0.0012 * D^1.1486 * H^2.2903 + 0.0009 * D^1.9152 * H^1.7769 + 0.0247 * D^2.0056
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Total aboveground biomass = wood + bark + branches + foliage, each fitted as its own equation; the total is their sum (additivity by construction). Height drops out of the foliage term: the paper leaves its height exponent blank (—, not significantly different from zero). 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
y branches = β branches1D βbranches2Hβbranches3 + e branches
Equation · Eq. 3
y foliage = β foliage1D βfoliage2Hβfoliage3 + efoliage
Equation · Eq. 3
Hop-hornbeam bwood1 0.0083
Equation · Table 4, Hop-hornbeam
bwood2 1.6534
Equation · Table 4, Hop-hornbeam
bwood3 1.7479
Equation · Table 4, Hop-hornbeam
bbark1 0.0012
Equation · Table 4, Hop-hornbeam
bbark2 1.1486
Equation · Table 4, Hop-hornbeam
bbark3 2.2903
Equation · Table 4, Hop-hornbeam
bbranches1 0.0009
Equation · Table 4, Hop-hornbeam
bbranches2 1.9152
Equation · Table 4, Hop-hornbeam
bbranches3 1.7769
Equation · Table 4, Hop-hornbeam
bfoliage1 0.0247
Equation · Table 4, Hop-hornbeam
bfoliage2 2.0056
Equation · Table 4, Hop-hornbeam
bfoliage3 —
Equation · Table 4, 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- and height-based set, second block)
Trees measured
14
DBH range
5.2–18.5 cm
Height range
6.3–11.9 m
R²
0.97
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
Height from
197
Aboveground biomass (kg)
92.4
Carbon (kg), ×0.47
339
CO₂e (kg), ×44/12

Outside the data this model was fitted on: DBH above the fitted 18.5 cm, height above the fitted 11.9 m. Results may be unreliable.

Fitted DBH range0100200300400500600700510152025303540DBH (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 = 20, H = 15197197Computed from the printed form
computed from the published form at dbh = 20 cm, H = 15 m

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