Tree Allometrics

Tsuga canadensis / Branch biomass

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

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

As printed (Eq. 3)

y branches = β branches1D βbranches2Hβbranches3 + e branches

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

Branch biomass = 0.0215 * D^2.6553 * H^(-0.4682)
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
bbranches1 0.0215
Equation · Table 4, Eastern hemlock
bbranches2 2.6553
Equation · Table 4, Eastern hemlock
bbranches3 –0.4682
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)
Branches 0.0036 0.73 30.2 3.40 0.0025 0.74 29.4 3.50
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
17.2
Branch biomass (kg)
8.1
Carbon (kg), ×0.47
29.7
CO₂e (kg), ×44/12
Fitted DBH range020406080100120510152025303540DBH (cm)Branch biomass (kg)Branch 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 = 1517.217.2Computed from the printed form
computed from the published form at dbh = 20 cm, H = 15 m

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