Tree Allometrics

Prunus serotina / Aboveground biomass

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

Aboveground biomassPrunus serotina · RosaceaeCanadaRead from the original paper
Photo of Prunus serotina
© 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 = 0.0181 * D^1.7013 * H^1.3057 + 0.0101 * D^1.5956 * H^0.919 + 0.0005 * D^2.8004 * H^0.8603 + 0.1976 * D^1.4421 * H^(-0.5264)
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
Black cherry bwood1 0.0181
Equation · Table 4, Black cherry
bwood2 1.7013
Equation · Table 4, Black cherry
bwood3 1.3057
Equation · Table 4, Black cherry
bbark1 0.0101
Equation · Table 4, Black cherry
bbark2 1.5956
Equation · Table 4, Black cherry
bbark3 0.9190
Equation · Table 4, Black cherry
bbranches1 0.0005
Equation · Table 4, Black cherry
bbranches2 2.8004
Equation · Table 4, Black cherry
bbranches3 0.8603
Equation · Table 4, Black cherry
bfoliage1 0.1976
Equation · Table 4, Black cherry
bfoliage2 1.4421
Equation · Table 4, Black cherry
bfoliage3 –0.5264
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)
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- and height-based set, second block)
Trees measured
78
DBH range
0.9–49.6 cm
Height range
2.1–25.9 m
R²
0.92
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
142
Aboveground biomass (kg)
66.8
Carbon (kg), ×0.47
245
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 = 15142142Computed from the printed form
computed from the published form at dbh = 20 cm, H = 15 m

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