Tree Allometrics

Tsuga canadensis / Foliage biomass

Canadian national equation, eastern hemlock, dbh and height (foliage; Table 4)

Foliage biomassTsuga canadensis · PinaceaeCanadaRead from the original paper
Photo of Tsuga canadensis
© Ian Manning · CC BY · iNaturalist
Equation

As printed (Eq. 3)

y foliage = β foliage1D βfoliage2Hβfoliage3 + efoliage

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

Foliage biomass = 0.1471 * D^2.0108 * H^(-0.608)
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Foliage is leaves and twigs. 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
bfoliage1 0.1471
Equation · Table 4, Eastern hemlock
bfoliage2 2.0108
Equation · Table 4, Eastern hemlock
bfoliage3 –0.6080
Equation · Table 4, Eastern hemlock
Eastern hemlock 235 24.1±0.9 14.4±0.4 286.9±20.5
Trees measured · Table 2 (No. of trees)
(1.3;51.4) (2.3;26.5) (0.6;1406.6)
Smallest DBH · Table 2, Eastern hemlock (ranges of dbh, height, total biomass)
Foliage 0.0010 0.77 10.7 3.43 0.0008 0.74 11.4 3.53
R² · Table 5, Eastern hemlock (AdjRSq in the dbh- and height-based set, second block)
Trees measured
235
DBH range
1.3–51.4 cm
Height range
2.3–26.5 m
R²
0.74
Method
Nonlinear seemingly unrelated regression with weight functions; additivity constrained so compartments sum to total
Where
Ontario and Quebec, Canada (ENFOR archival data, early 1980s)
Last checked
2026-11-03
Calculate
Height from
11.7
Foliage biomass (kg)
5.51
Carbon (kg), ×0.47
20.2
CO₂e (kg), ×44/12
Fitted DBH range01020304050510152025303540DBH (cm)Foliage biomass (kg)Foliage 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 = 1511.711.7Computed 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