Tree Allometrics

Picea abies / Aboveground biomass

Norway spruce total above-ground biomass, Model 1c (Eq. 17)

Aboveground biomassPicea abies · PinaceaeFinlandmixedRead from the original paper
Photo of Picea abies
© Douglas Goldman · CC BY-SA · iNaturalist
Equation

As printed (Eq. 17, p. 633)

ln(yki) = b0 + b1 dSki/(dSki + 20) + b2 ln(hki) + uk + eki

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

Aboveground biomass = exp(-1.808 + 9.482 * (2 + 1.25*D)/((2 + 1.25*D) + 20) + 0.469 * ln(H) + (0.006 + 0.013)/2)
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Total above-ground biomass of the stem wood, bark, living and dead branches and needles. dS = 2 + 1.25d. Variance correction (0.006+0.013)/2 = 0.0095 added to the intercept in both forms. Sample trees spanned d 1.7–41.7 cm and h 2.1–35.0 m (Table 3, all 613 trees); the total equation used 166 trees, so no fit range is stated. Mineral-soil stands, Finland.

Source
Total Eq. 17 N = 166 b0 –1.808 b1 9.482 b2 0.469 var(uk) 0.006 var(eki) 0.013
Equation · Table 7, p. 634
dSki = 2 + 1.25 dki
Equation · variable definitions
a variance correction term, (σu² + σe²)/2 … should be added to the intercept
Correction factor · Section 2.4 (2009) / Section 3 (2008)
Trees measured
166
Correction factor
1.00955 (applied)
Method
Multivariate linear mixed model on ln(biomass) with stand random effects (fitted jointly with component equations); fixed part shown, with variance correction (var(u)+var(e))/2 added to the intercept
Where
Finland, mineral-soil stands (mostly southern and central Finland)
Last checked
2026-11-01
Calculate
Height from
149
Aboveground biomass (kg)
70
Carbon (kg), ×0.47
257
CO₂e (kg), ×44/12
0100200300400500600700510152025303540DBH (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 = 20, H = 18149149Computed from the printed form
computed from the published form (with variance correction) at d = 20 cm, h = 18 m

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