Tree Allometrics

Quercus alba / Foliage biomass

Canadian national equation, white oak, dbh only (foliage; Table 3)

Foliage biomassQuercus alba · FagaceaeCanadaRead from the original paper
Photo of Quercus alba
© Douglas Goldman · CC BY-SA · iNaturalist
Equation

As printed (Eq. 2)

y foliage = β foliage1D βfoliage2 + efoliage

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

Foliage biomass = 0.0188 * D^1.7881
D
Diameter at breast height (1.3 m), cm

Foliage is leaves and twigs. 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 0.0188
Equation · Table 3, White oak
bfoliage2 1.7881
Equation · Table 3, White oak
White oak 61 23.9±2.1 11.5±0.6 325.4±63.1
Trees measured · Table 2 (No. of trees)
(2.2;74.3) (2.8;21.5) (1.3;2385.5)
Smallest DBH · Table 2, White oak (ranges of dbh, height, total biomass)
Foliage 0.0003 0.86 3.9 3.14 0.0015 0.89 3.4 2.44
R² · Table 5, White oak (AdjRSq in the dbh-based set, first block)
Trees measured
61
DBH range
2.2–74.3 cm
R²
0.86
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
3.99
Foliage biomass (kg)
1.87
Carbon (kg), ×0.47
6.87
CO₂e (kg), ×44/12
Fitted DBH range02468101214510152025303540DBH (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 = 203.993.99Computed from the printed form
computed from the published form at dbh = 20 cm

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