Tree Allometrics

Quercus alba / Aboveground biomass

Canadian national equation, white oak, dbh only (sum of wood, bark, branches, foliage; Table 3)

Aboveground biomassQuercus alba · FagaceaeCanadaRead from the original paper
Photo of Quercus alba
© 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)

Aboveground biomass = 0.0762 * D^2.3335 + 0.0338 * D^1.9845 + 0.0113 * D^2.6211 + 0.0188 * D^1.7881
D
Diameter at breast height (1.3 m), cm

Total aboveground biomass = wood + bark + branches + foliage, each fitted as its own equation; the total is their sum (additivity by construction). 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
y branches = β branches1D βbranches2 + e branches
Equation · Eq. 2
y foliage = β foliage1D βfoliage2 + efoliage
Equation · Eq. 2
White oak bwood1 0.0762
Equation · Table 3, White oak
bwood2 2.3335
Equation · Table 3, White oak
bbark1 0.0338
Equation · Table 3, White oak
bbark2 1.9845
Equation · Table 3, White oak
bbranches1 0.0113
Equation · Table 3, White oak
bbranches2 2.6211
Equation · Table 3, White oak
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)
Total 0.0011 0.87 177.8 4.70 0.0324 0.99 59.0 3.33
R² · Table 5, White oak (AdjRSq in the dbh-based set, first block)
Trees measured
61
DBH range
2.2–74.3 cm
R²
0.87
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
129
Aboveground biomass (kg)
60.5
Carbon (kg), ×0.47
222
CO₂e (kg), ×44/12
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 = 20129129Computed from the printed form
computed from the published form at dbh = 20 cm

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