Tree Allometrics

Prunus serotina / Aboveground biomass

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

Aboveground biomassPrunus serotina · RosaceaeCanadaRead from the original paper
Photo of Prunus serotina
© 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 = 0.3743 * D^1.9406 + 0.0679 * D^1.8377 + 0.0796 * D^2.0103 + 0.084 * D^1.2319
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
Black cherry bwood1 0.3743
Equation · Table 3, Black cherry
bwood2 1.9406
Equation · Table 3, Black cherry
bbark1 0.0679
Equation · Table 3, Black cherry
bbark2 1.8377
Equation · Table 3, Black cherry
bbranches1 0.0796
Equation · Table 3, Black cherry
bbranches2 2.0103
Equation · Table 3, Black cherry
bfoliage1 0.0840
Equation · Table 3, Black cherry
bfoliage2 1.2319
Equation · Table 3, 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)
Total 60.7665 0.80 116.4 1.52 0.2573 0.92 73.8 2.93
R² · Table 5, Black cherry (AdjRSq in the dbh-based set, first block)
Trees measured
78
DBH range
0.9–49.6 cm
R²
0.8
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
178
Aboveground biomass (kg)
83.8
Carbon (kg), ×0.47
307
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 = 20178178Computed from the printed form
computed from the published form at dbh = 20 cm

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