Prunus serotina / Branch biomass

Canadian national equation, black cherry, dbh and height (branches; Table 4)

Branch biomassPrunus serotina · RosaceaeCanadaRead from the original paper

Equation

As printed (Eq. 3)

y branches = β branches1D βbranches2Hβbranches3 + e branches

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

Branch biomass = 0.0005 * D^2.8004 * H^0.8603

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

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 0.0005

Equation · Table 4, Black cherry

bbranches2 2.8004

Equation · Table 4, Black cherry

bbranches3 0.8603

Equation · Table 4, Black cherry

Black cherry 78 22.0±1.3 16.6±0.6 276.1±29.1

Trees measured · Table 2 (No. of trees)

(0.9;49.6) (2.1;25.9) (0.6;1183.5)

Smallest DBH · Table 2, Black cherry (ranges of dbh, height, total biomass)

Branches 0.0015 0.58 54.6 4.28 0.0036 0.75 42.5 3.93

R² · Table 5, Black cherry (AdjRSq in the dbh- and height-based set, second block)

Trees measured: 78
DBH range: 0.9–49.6 cm
Height range: 2.1–25.9 m
R²: 0.75
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)Height (m)

Height from

22.6

Branch biomass (kg)

10.6

Carbon (kg), ×0.47

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, H = 15	22.6	22.6	Computed from the printed form computed from the published form at dbh = 20 cm, H = 15 m

Report a problem with this equation · JSON

Canadian national equation, black cherry, dbh only (branches; Table 3) · Lambert et al. 2005 · DBH
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Compare these curves

Canadian national equation, black cherry, dbh and height (branches; Table 4)

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