Tree Allometrics

Pinus resinosa / Aboveground biomass

Canadian national equation, red pine, dbh and height (sum of wood, bark, branches, foliage; Table 4)

Aboveground biomassPinus resinosa · PinaceaeCanadaRead from the original paper
Photo of Pinus resinosa
© timmenzies on Flickr · CC BY-SA · iNaturalist
Equation

As printed (Eq. 3)

y wood = β wood1D βwood2Hβwood3 + ewood

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

Aboveground biomass = 0.0106 * D^1.7725 * H^1.3285 + 0.0277 * D^1.5192 * H^0.4645 + 0.0125 * D^3.3865 * H^(-1.1939) + 0.0731 * D^2.3439 * H^(-0.7378)
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Total aboveground biomass = wood + bark + branches + foliage, each fitted as its own equation; the total is their sum (additivity by construction). 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 βbark2Hβbark3 + e bark
Equation · Eq. 3
y branches = β branches1D βbranches2Hβbranches3 + e branches
Equation · Eq. 3
y foliage = β foliage1D βfoliage2Hβfoliage3 + efoliage
Equation · Eq. 3
Red pine bwood1 0.0106
Equation · Table 4, Red pine
bwood2 1.7725
Equation · Table 4, Red pine
bwood3 1.3285
Equation · Table 4, Red pine
bbark1 0.0277
Equation · Table 4, Red pine
bbark2 1.5192
Equation · Table 4, Red pine
bbark3 0.4645
Equation · Table 4, Red pine
bbranches1 0.0125
Equation · Table 4, Red pine
bbranches2 3.3865
Equation · Table 4, Red pine
bbranches3 –1.1939
Equation · Table 4, Red pine
bfoliage1 0.0731
Equation · Table 4, Red pine
bfoliage2 2.3439
Equation · Table 4, Red pine
bfoliage3 –0.7378
Equation · Table 4, Red pine
Red pine 371 22.4±0.6 16.4±0.3 216.5±12.6
Trees measured · Table 2 (No. of trees)
(1.3;55.1) (1.8;34.4) (0.3;1572.6)
Smallest DBH · Table 2, Red pine (ranges of dbh, height, total biomass)
Total 0.0052 0.92 68.7 3.95 0.0008 0.98 33.3 4.18
R² · Table 5, Red pine (AdjRSq in the dbh- and height-based set, second block)
Trees measured
371
DBH range
1.3–55.1 cm
Height range
1.8–34.4 m
R²
0.98
Method
Nonlinear seemingly unrelated regression with weight functions; additivity constrained so compartments sum to total
Where
Canada: Nova Scotia, Ontario, Quebec (ENFOR archival data, early 1980s)
Last checked
2026-11-03
Calculate
Height from
111
Aboveground biomass (kg)
52.3
Carbon (kg), ×0.47
192
CO₂e (kg), ×44/12
Fitted DBH range0100200300400500510152025303540DBH (cm)Aboveground biomass (kg)Aboveground 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 = 15111111Computed from the printed form
computed from the published form at dbh = 20 cm, H = 15 m

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