Tree Allometrics

Picea glauca / Aboveground biomass

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

Aboveground biomassPicea glauca · PinaceaeCanadaRead from the original paper

Photo of Picea glauca

Equation

As printed (Eq. 3)

y wood = β wood1D βwood2Hβwood3 + ewood

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

Aboveground biomass = 0.0265 * D^1.7952 * H^0.9733 + 0.0124 * D^1.6962 * H^0.6489 + 0.0325 * D^2.8573 * H^(-0.9127) + 0.202 * D^2.3802 * H^(-1.1103)

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

White spruce bwood1 0.0265

Equation · Table 4, White spruce

bwood2 1.7952

Equation · Table 4, White spruce

bwood3 0.9733

Equation · Table 4, White spruce

bbark1 0.0124

Equation · Table 4, White spruce

bbark2 1.6962

Equation · Table 4, White spruce

bbark3 0.6489

Equation · Table 4, White spruce

bbranches1 0.0325

Equation · Table 4, White spruce

bbranches2 2.8573

Equation · Table 4, White spruce

bbranches3 –0.9127

Equation · Table 4, White spruce

bfoliage1 0.2020

Equation · Table 4, White spruce

bfoliage2 2.3802

Equation · Table 4, White spruce

bfoliage3 –1.1103

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

Trees measured: 832
DBH range: 1.8–51.9 cm
Height range: 1.1–37.5 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, Yukon (ENFOR archival data, early 1980s)
Last checked: 2026-11-03

Calculate

DBH (cm)Height (m)

Height from

118

Aboveground biomass (kg)

55.7

Carbon (kg), ×0.47

204

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	118	118	Computed from the printed form computed from the published form at dbh = 20 cm, H = 15 m

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

Compare these curves