Tree Allometrics

Pinus contorta / Branch biomass

Canadian national equation, lodgepole pine, dbh only (branches; Table 3)

Branch biomassPinus contorta var. latifolia · PinaceaeCanadaRead from the original paper
Photo of Pinus contorta var. latifolia
© Alison Northup · CC BY · iNaturalist
Equation

As printed (Eq. 2)

y branches = β branches1D βbranches2 + e branches

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

Branch biomass = 0.0198 * D^2.1287
D
Diameter at breast height (1.3 m), cm

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 0.0198
Equation · Table 3, Lodgepole pine
bbranches2 2.1287
Equation · Table 3, Lodgepole pine
Lodgepole pine 201 15.0±0.6 12.7±0.4 99.0±8.8
Trees measured · Table 2 (No. of trees)
(2.5;39.0) (2.5;25.9) (0.8;694.4)
Smallest DBH · Table 2, Lodgepole pine (ranges of dbh, height, total biomass)
Branches 0.0004 0.55 9.5 3.99 0.0006 0.68 8.0 3.60
R² · Table 5, Lodgepole pine (AdjRSq in the dbh-based set, first block)
Lodgepole pine Pin lodgepole Pinus contorta var. latifolia Engelm.
Taxon · Appendix B, Table B1
Trees measured
201
DBH range
2.5–39 cm
R²
0.55
Method
Nonlinear seemingly unrelated regression with weight functions; additivity constrained so compartments sum to total
Where
Alberta and Yukon, Canada (ENFOR archival data, early 1980s)
Last checked
2026-11-03
Calculate
11.6
Branch biomass (kg)
5.47
Carbon (kg), ×0.47
20.1
CO₂e (kg), ×44/12
Fitted DBH range0102030405060510152025303540DBH (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 = 2011.611.6Computed from the printed form
computed from the published form at dbh = 20 cm

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