Tree Allometrics

Pinus sylvestris / Aboveground biomass

Scots pine aboveground biomass, young dense stands, N Sweden (Table 5)

Aboveground biomassPinus sylvestris · PinaceaeSwedennaturalRead from the original paper
Photo of Pinus sylvestris
© Douglas Goldman · CC BY-SA · iNaturalist
Equation

As printed (Table 5, p. 12)

Total above-ground, kg, Scots pine: Intercept −2.274; dbh/(dbh + n) 9.302; h/(h + m) 0.933; n 9; m 16; var(uk) 0.002; var(eki) 0.030

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

Aboveground biomass = exp(-2.274 + (0.002 + 0.030) / 2 + 9.302 * D / (D + 9) + (0.933) * H / (H + 16))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Fitted on pine-dominated mixed stands; fit n, DBH and height ranges are the species sample ranges. Expression applies the paper's stated additive correction (var(uk) + var(eki))/2 to the intercept. Variance values are as printed in Table 5; no other correction factor is stated. The paper models the total independently of the components, so it need not equal their sum.

Source
a variance correction term, ((var(uk) + var(eki))/2) should be added to the intercept to correct for bias due to the logarithmic transformation
Equation · Section 2.6, p. 10
In total, 280 trees were included in this destructive aboveground biomass study, of which 126 were pine, 68 spruce and 86 birch.
Trees measured · Section 2.4, p. 6
The range of dbh was 1–22 cm, 1–21 cm and 1–11 cm for pine, spruce and birch, respectively
Largest DBH · Section 2.4, p. 6
The range of heights was 1.7–11.7 m, 1.6–13.3 m and 1.8–8.6 m for pine, spruce and birch, respectively
h max m · Section 2.4, p. 6
Trees measured
126
DBH range
1–22 cm
Height range
1.7–11.7 m
Method
linear mixed model of ln(biomass) with random stand effect; ln(y) = Intercept + b1 dbh/(dbh + n) + b2 h/(h + m)
Where
Six young, dense, naturally regenerated stands in northern Sweden (63.26-65.69 N)
Last checked
2026-11-02
Calculate
Height from
3.62
Aboveground biomass (kg)
1.7
Carbon (kg), ×0.47
6.24
CO₂e (kg), ×44/12
Fitted DBH range050100150200250300510152025303540DBH (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 = 5, H = 53.623.62Computed from the printed form
hand-computed from the Table 5 coefficients with the (var(u) + var(e))/2 intercept correction
D = 12, H = 929.829.8Computed from the printed form
hand-computed from the Table 5 coefficients with the (var(u) + var(e))/2 intercept correction

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