Tree Allometrics

Pinus contorta / Foliage biomass

Canadian national equation, lodgepole pine, dbh and height (foliage; Table 4)

Foliage biomassPinus contorta var. latifolia · PinaceaeCanadaRead from the original paper
Photo of Pinus contorta var. latifolia
© Alison Northup · 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 = 0.0785 * D^2.5377 * H^(-1.1213)
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 0.0785
Equation · Table 4, Lodgepole pine
bfoliage2 2.5377
Equation · Table 4, Lodgepole pine
bfoliage3 –1.1213
Equation · Table 4, 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)
Foliage 0.0037 0.72 3.1 2.67 0.0050 0.71 3.2 2.48
R² · Table 5, Lodgepole pine (AdjRSq in the dbh- and height-based set, second block)
Lodgepole pine Pin lodgepole Pinus contorta var. latifolia Engelm.
Taxon · Appendix B, Table B1
Trees measured
201
DBH range
2.5–39 cm
Height range
2.5–25.9 m
R²
0.71
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
Height from
7.55
Foliage biomass (kg)
3.55
Carbon (kg), ×0.47
13
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 = 157.557.55Computed from the printed form
computed from the published form at dbh = 20 cm, H = 15 m

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