Tree Allometrics

Larix laricina / Aboveground biomass

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

Aboveground biomassLarix laricina · PinaceaeCanadaRead from the original paper

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Equation

As printed (Eq. 3)

y wood = β wood1D βwood2Hβwood3 + ewood

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

Aboveground biomass = 0.0276 * D^1.6724 * H^1.1443 + 0.012 * D^1.7059 * H^0.5811 + 0.0336 * D^3.1335 * H^(-1.1559) + 0.1324 * D^2.114 * H^(-0.8781)

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

Lambert, M.-C., Ung, C.-H., Raulier, F. (2005). Canadian national tree aboveground biomass equations. Canadian Journal of Forest Research, 35(8), 1996–2018.

doi:10.1139/x05-112 · Paywalled · copy we read

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

Tamarack larch bwood1 0.0276

Equation · Table 4, Tamarack larch

bwood2 1.6724

Equation · Table 4, Tamarack larch

bwood3 1.1443

Equation · Table 4, Tamarack larch

bbark1 0.0120

Equation · Table 4, Tamarack larch

bbark2 1.7059

Equation · Table 4, Tamarack larch

bbark3 0.5811

Equation · Table 4, Tamarack larch

bbranches1 0.0336

Equation · Table 4, Tamarack larch

bbranches2 3.1335

Equation · Table 4, Tamarack larch

bbranches3 –1.1559

Equation · Table 4, Tamarack larch

bfoliage1 0.1324

Equation · Table 4, Tamarack larch

bfoliage2 2.1140

Equation · Table 4, Tamarack larch

bfoliage3 –0.8781

Equation · Table 4, 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- and height-based set, second block)

Trees measured: 575
DBH range: 1.8–44.5 cm
Height range: 2.2–30.5 m
R²: 0.98
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

DBH (cm)Height (m)

Height from

126

Aboveground biomass (kg)

59.1

Carbon (kg), ×0.47

217

CO₂e (kg), ×44/12

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%.

Inputs	Expected	We get	From
D = 20, H = 15	126	126	Computed from the printed form computed from the published form at dbh = 20 cm, H = 15 m

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Related

Chekanovsky larch AGB from DBH only, unweighted (Table 3) · Altanzagas et al. 2022 · DBH
Chekanovsky larch AGB from DBH only, weighted (Table 3) · Altanzagas et al. 2022 · DBH
Chekanovsky larch AGB from D²H, unweighted (Table 3) · Altanzagas et al. 2022 · DBH + Height
Chekanovsky larch AGB from D²H, weighted (Table 3) · Altanzagas et al. 2022 · DBH + Height
Chekanovsky larch AGB from D and H, weighted (Table 3) · Altanzagas et al. 2022 · DBH + Height
Gmelin larch AGB from DBH only, unweighted (Table 3) · Altanzagas et al. 2022 · DBH
Gmelin larch AGB from DBH only, weighted (Table 3) · Altanzagas et al. 2022 · DBH
Gmelin larch AGB from D²H, unweighted (Table 3) · Altanzagas et al. 2022 · DBH + Height
Canadian national equation, alpine fir, dbh only (branches; Table 3) · same paper · Branch biomass
Canadian national equation, alpine fir, dbh and height (branches; Table 4) · same paper · Branch biomass
Canadian national equation, alpine fir, dbh and height (foliage; Table 4) · same paper · Foliage biomass
Canadian national equation, alpine fir, dbh and height (stem wood plus stem bark; Table 4) · same paper · Stem biomass
Canadian national equation, alpine fir, dbh and height (sum of wood, bark, branches, foliage; Table 4) · same paper · Aboveground biomass
Canadian national equation, alpine fir, dbh only (foliage; Table 3) · same paper · Foliage biomass
Canadian national equation, alpine fir, dbh only (stem wood plus stem bark; Table 3) · same paper · Stem biomass
Canadian national equation, alpine fir, dbh only (sum of wood, bark, branches, foliage; Table 3) · same paper · Aboveground biomass

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