Tree Allometrics

Picea glauca / Aboveground biomass

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

Aboveground biomassPicea glauca · PinaceaeCanadaRead from the original paper

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Equation

As printed (Eq. 2)

y wood = β wood1D βwood2 + ewood

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

Aboveground biomass = 0.0359 * D^2.5775 + 0.0116 * D^2.3022 + 0.0283 * D^2.0823 + 0.1601 * D^1.467

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

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 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

White spruce bwood1 0.0359

Equation · Table 3, White spruce

bwood2 2.5775

Equation · Table 3, White spruce

bbark1 0.0116

Equation · Table 3, White spruce

bbark2 2.3022

Equation · Table 3, White spruce

bbranches1 0.0283

Equation · Table 3, White spruce

bbranches2 2.0823

Equation · Table 3, White spruce

bfoliage1 0.1601

Equation · Table 3, White spruce

bfoliage2 1.4670

Equation · Table 3, White spruce

White spruce 832 16.6±0.3 12.9±0.2 123.6±5.7

Trees measured · Table 2 (No. of trees)

(1.8;51.9) (1.1;37.5) (0.4;1344.6)

Smallest DBH · Table 2, White spruce (ranges of dbh, height, total biomass)

Total 0.0031 0.95 35.3 4.04 0.0062 0.98 24.9 3.60

R² · Table 5, White spruce (AdjRSq in the dbh-based set, first block)

Trees measured: 832
DBH range: 1.8–51.9 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, Yukon (ENFOR archival data, early 1980s)
Last checked: 2026-11-03

Calculate

DBH (cm)

120

Aboveground biomass (kg)

56.4

Carbon (kg), ×0.47

207

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	120	120	Computed from the printed form computed from the published form at dbh = 20 cm

Report a problem with this equation · JSON

Related

North American taxa group: Picea ≥ 0.35 spg (Table 5) · Chojnacky et al. 2014 · DBH
North American taxa group: Picea < 0.35 spg (Table 5) · Chojnacky et al. 2014 · DBH
Norway spruce, Czech Republic: Total aboveground biomass from D and H/D (Table 2) · Čihák & Vejpustková 2018 · DBH + Height
Norway spruce, Czech Republic: Total aboveground biomass from D (Table 2) · Čihák & Vejpustková 2018 · DBH
European general equation, Picea abies, aboveground, diameter only (Eq. 3) · Forrester et al. 2017 · DBH
Canadian national equation, black spruce, dbh and height (sum of wood, bark, branches, foliage; Table 4) · Lambert et al. 2005 · DBH + Height
Canadian national equation, black spruce, dbh only (sum of wood, bark, branches, foliage; Table 3) · Lambert et al. 2005 · DBH
Canadian national equation, red spruce, dbh and height (sum of wood, bark, branches, foliage; Table 4) · Lambert et al. 2005 · 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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