Tree Allometrics

Juniperus virginiana / Aboveground biomass

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

Aboveground biomassJuniperus virginiana · CupressaceaeCanadaRead from the original paper
Photo of Juniperus virginiana
© 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 = 0.052 * D^1.7731 * H^0.7054 + 0.0283 * D^1.7079 + 0.0219 * D^2.3585 + 0.2575 * D^2.5136 * H^(-1.5565)
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). Height drops out of the bark, branches term: the paper leaves its height exponent blank (—, not significantly different from zero). 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
Eastern redcedar bwood1 0.0520
Equation · Table 4, Eastern redcedar
bwood2 1.7731
Equation · Table 4, Eastern redcedar
bwood3 0.7054
Equation · Table 4, Eastern redcedar
bbark1 0.0283
Equation · Table 4, Eastern redcedar
bbark2 1.7079
Equation · Table 4, Eastern redcedar
bbark3 —
Equation · Table 4, Eastern redcedar
bbranches1 0.0219
Equation · Table 4, Eastern redcedar
bbranches2 2.3585
Equation · Table 4, Eastern redcedar
bbranches3 —
Equation · Table 4, Eastern redcedar
bfoliage1 0.2575
Equation · Table 4, Eastern redcedar
bfoliage2 2.5136
Equation · Table 4, Eastern redcedar
bfoliage3 –1.5565
Equation · Table 4, Eastern redcedar
Eastern redcedar 33 12.3±1.4 7.2±0.4 52.7±12.3
Trees measured · Table 2 (No. of trees)
(2.0;38.2) (2.7;12.8) (1.4;316.4)
Smallest DBH · Table 2, Eastern redcedar (ranges of dbh, height, total biomass)
Total 2.1210 0.96 14.1 1.54 1.1460 0.95 15.0 1.72
R² · Table 5, Eastern redcedar (AdjRSq in the dbh- and height-based set, second block)
Trees measured
33
DBH range
2–38.2 cm
Height range
2.7–12.8 m
R²
0.95
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
109
Aboveground biomass (kg)
51.1
Carbon (kg), ×0.47
187
CO₂e (kg), ×44/12

Outside the data this model was fitted on: height above the fitted 12.8 m. Results may be unreliable.

Fitted DBH range0100200300400500510152025303540DBH (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 = 15109109Computed 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