Tree Allometrics

Quercus alba / Aboveground biomass

Canadian national equation, white oak, dbh and height (sum of wood, bark, branches, foliage; Table 4)

Aboveground biomassQuercus alba · FagaceaeCanadaRead from the original paper
Photo of Quercus alba
© 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 = 0.0442 * D^1.6818 * H^1.031 + 0.0308 * D^1.7479 * H^0.3504 + 0.0022 * D^2.0165 * H^1.3953 + 0.0053 * D^1.2822 * H^1.1323
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). 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
White oak bwood1 0.0442
Equation · Table 4, White oak
bwood2 1.6818
Equation · Table 4, White oak
bwood3 1.0310
Equation · Table 4, White oak
bbark1 0.0308
Equation · Table 4, White oak
bbark2 1.7479
Equation · Table 4, White oak
bbark3 0.3504
Equation · Table 4, White oak
bbranches1 0.0022
Equation · Table 4, White oak
bbranches2 2.0165
Equation · Table 4, White oak
bbranches3 1.3953
Equation · Table 4, White oak
bfoliage1 0.0053
Equation · Table 4, White oak
bfoliage2 1.2822
Equation · Table 4, White oak
bfoliage3 1.1323
Equation · Table 4, 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- and height-based set, second block)
Trees measured
61
DBH range
2.2–74.3 cm
Height range
2.8–21.5 m
R²
0.99
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
172
Aboveground biomass (kg)
80.8
Carbon (kg), ×0.47
296
CO₂e (kg), ×44/12
Fitted DBH range0100200300400500600510152025303540DBH (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 = 15172172Computed from the printed form
computed from the published form at dbh = 20 cm, H = 15 m

Report a problem with this equation · JSON

Related

Compare these curves