Tree Allometrics

Larix laricina / Aboveground biomass

Canadian national equation, tamarack larch, dbh only (sum of wood, bark, branches, foliage; Table 3)

Aboveground biomassLarix laricina · PinaceaeCanadaRead from the original paper
Photo of Larix laricina
© Douglas Goldman · CC BY-SA · iNaturalist
Equation

As printed (Eq. 2)

y wood = β wood1D βwood2 + ewood

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

Aboveground biomass = 0.0625 * D^2.4475 + 0.0174 * D^2.1109 + 0.0196 * D^2.2652 + 0.0801 * D^1.4875
D
Diameter at breast height (1.3 m), cm

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 βbark2 + e bark
Equation · Eq. 2
y branches = β branches1D βbranches2 + e branches
Equation · Eq. 2
y foliage = β foliage1D βfoliage2 + efoliage
Equation · Eq. 2
Tamarack larch bwood1 0.0625
Equation · Table 3, Tamarack larch
bwood2 2.4475
Equation · Table 3, Tamarack larch
bbark1 0.0174
Equation · Table 3, Tamarack larch
bbark2 2.1109
Equation · Table 3, Tamarack larch
bbranches1 0.0196
Equation · Table 3, Tamarack larch
bbranches2 2.2652
Equation · Table 3, Tamarack larch
bfoliage1 0.0801
Equation · Table 3, Tamarack larch
bfoliage2 1.4875
Equation · Table 3, Tamarack larch
Tamarack larch 575 14.7±0.3 12.3±0.2 96.4±4.8
Trees measured · Table 2 (No. of trees)
(1.8;44.5) (2.2;30.5) (0.4;938.9)
Smallest DBH · Table 2, Tamarack larch (ranges of dbh, height, total biomass)
Total 0.0052 0.95 25.7 3.88 0.0043 0.98 17.3 3.72
R² · Table 5, Tamarack larch (AdjRSq in the dbh-based set, first block)
Trees measured
575
DBH range
1.8–44.5 cm
R²
0.95
Method
Nonlinear seemingly unrelated regression with weight functions; additivity constrained so compartments sum to total
Where
Canada: Alberta, Manitoba, Newfoundland and Labrador, Nova Scotia, Northwest Territories, Ontario, Quebec, Saskatchewan (ENFOR archival data, early 1980s)
Last checked
2026-11-03
Calculate
129
Aboveground biomass (kg)
60.9
Carbon (kg), ×0.47
223
CO₂e (kg), ×44/12
Fitted DBH range0100200300400500600700510152025303540DBH (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 = 20129129Computed from the printed form
computed from the published form at dbh = 20 cm

Report a problem with this equation · JSON

Related

Compare these curves