Tree Allometrics

Equations / Foliage biomass

Canadian national equation, hickory, dbh and height (foliage; Table 4)

Foliage biomassCarya · JuglandaceaeCanadaRead from the original paper
Covers the whole genus
Equation

As printed (Eq. 3)

y foliage = β foliage1D βfoliage2Hβfoliage3 + efoliage

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

Foliage biomass = 0.0121 * D^2.0865
D
Diameter at breast height (1.3 m), cm

Foliage is leaves and twigs. Height drops out of the foliage term: the paper leaves its height exponent blank (—, not significantly different from zero). The paper names this taxon only as 'Hickory' (Carya Nutt.), so it is a genus record. 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
bfoliage1 0.0121
Equation · Table 4, Hickory
bfoliage2 2.0865
Equation · Table 4, Hickory
bfoliage3 —
Equation · Table 4, Hickory
Hickory 76 20.8±1.2 19.3±0.8 363.3±42.4
Trees measured · Table 2 (No. of trees)
(2.8;46.6) (3.9;29.4) (1.4;1335.1)
Smallest DBH · Table 2, Hickory (ranges of dbh, height, total biomass)
Foliage 14.3183 0.83 3.8 — 0.0025 0.83 3.8 2.64
R² · Table 5, Hickory (AdjRSq in the dbh- and height-based set, second block)
Hickory Caryer Carya Nutt.
Taxon · Appendix B, Table B1
Trees measured
76
DBH range
2.8–46.6 cm
Height range
3.9–29.4 m
R²
0.83
Method
Nonlinear seemingly unrelated regression with weight functions; additivity constrained so compartments sum to total
Where
Ontario and Quebec, Canada (ENFOR archival data, early 1980s)
Last checked
2026-11-03
Calculate
6.27
Foliage biomass (kg)
2.95
Carbon (kg), ×0.47
10.8
CO₂e (kg), ×44/12
Fitted DBH range051015202530510152025303540DBH (cm)Foliage biomass (kg)Foliage 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 = 156.276.27Computed from the printed form
computed from the published form at dbh = 20 cm, H = 15 m

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