Tree Allometrics

Picea glauca / Stem biomass

Canadian national equation, white spruce, dbh only (stem wood plus stem bark; Table 3)

Stem biomassPicea glauca · PinaceaeCanadaRead from the original paper
Photo of Picea glauca
© 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)

Stem biomass = 0.0359 * D^2.5775 + 0.0116 * D^2.3022
D
Diameter at breast height (1.3 m), cm

Stem from ground level to tree top, stem wood plus stem bark; the stem is the sum of the two compartment equations. 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
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
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)
Stem 0.0003 0.94 35.2 4.81 0.0004 0.98 18.7 4.19
R² · Table 5, White spruce (AdjRSq in the dbh-based set, first block)
Trees measured
832
DBH range
1.8–51.9 cm
R²
0.94
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
92.5
Stem biomass (kg)
43.5
Carbon (kg), ×0.47
159
CO₂e (kg), ×44/12
Fitted DBH range0100200300400500600510152025303540DBH (cm)Stem biomass (kg)Stem 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 = 2092.592.5Computed from the printed form
computed from the published form at dbh = 20 cm

Report a problem with this equation · JSON

Related

Compare these curves