Quercus rubra / Branch biomass

Canadian national equation, red oak, dbh only (branches; Table 3)

Branch biomassQuercus rubra · FagaceaeCanadaRead from the original paper

Equation

As printed (Eq. 2)

y branches = β branches1D βbranches2 + e branches

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

Branch biomass = 0.0085 * D^2.779

D: Diameter at breast height (1.3 m), cm

All branches, cut at the stem base (live branches; dead branches excluded). 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

Lambert, M.-C., Ung, C.-H., Raulier, F. (2005). Canadian national tree aboveground biomass equations. Canadian Journal of Forest Research, 35(8), 1996–2018.

doi:10.1139/x05-112 · Paywalled · copy we read

bbranches1 0.0085

Equation · Table 3, Red oak

bbranches2 2.7790

Equation · Table 3, Red oak

Red oak 117 22.6±1.0 15.3±0.4 311.4±29.2

Trees measured · Table 2 (No. of trees)

(1.1;55.3) (2.5;23.0) (0.4;1977.5)

Smallest DBH · Table 2, Red oak (ranges of dbh, height, total biomass)

Branches 0.0029 0.85 46.6 3.94 0.0021 0.90 37.0 4.04

R² · Table 5, Red oak (AdjRSq in the dbh-based set, first block)

Trees measured: 117
DBH range: 1.1–55.3 cm
R²: 0.85
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

DBH (cm)

35.1

Branch biomass (kg)

16.5

Carbon (kg), ×0.47

60.4

CO₂e (kg), ×44/12

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%.

Inputs	Expected	We get	From
D = 20	35.1	35.1	Computed from the printed form computed from the published form at dbh = 20 cm

Report a problem with this equation · JSON

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Canadian national equation, alpine fir, dbh only (branches; Table 3) · same paper · Branch biomass
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Compare these curves

Canadian national equation, red oak, dbh only (branches; Table 3)

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