Tree Allometrics

Tsuga canadensis / Stem biomass

Canadian national equation, eastern hemlock, dbh only (stem wood plus stem bark; Table 3)

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

As printed (Eq. 2)

y wood = β wood1D βwood2 + ewood

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

Stem biomass = 0.0619 * D^2.3821 + 0.0139 * D^2.3282
D
Diameter at breast height (1.3 m), cm

Stem from ground level to tree top, stem wood plus stem bark; the stem is the sum of the two compartment equations. 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
Eastern hemlock bwood1 0.0619
Equation · Table 3, Eastern hemlock
bwood2 2.3821
Equation · Table 3, Eastern hemlock
bbark1 0.0139
Equation · Table 3, Eastern hemlock
bbark2 2.3282
Equation · Table 3, 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)
Stem 0.0013 0.94 59.5 4.31 0.0074 0.97 45.0 3.52
R² · Table 5, Eastern hemlock (AdjRSq in the dbh-based set, first block)
Trees measured
235
DBH range
1.3–51.4 cm
R²
0.94
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
92.6
Stem biomass (kg)
43.5
Carbon (kg), ×0.47
160
CO₂e (kg), ×44/12
Fitted DBH range0100200300400500510152025303540DBH (cm)Stem biomass (kg)Stem 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 = 2092.692.6Computed from the printed form
computed from the published form at dbh = 20 cm

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