Tree Allometrics

Abies alba / Aboveground biomass

Silver fir AGB, LM, Dataset #1, D and H

Aboveground biomassAbies alba · PinaceaeRomanianaturalRead from the original paper
Photo of Abies alba
© böhringer friedrich · CC BY-SA · iNaturalist
Equation

As printed (Table 5, silver fir, LM, Dataset #1, ln(D),ln(H) (Equation 3; back-transformed as Equation 5))

ln(D),ln(H): β0 = -2.9687, β1 = 1.3301, β2 = 1.446, RSE = 0.2344, CF = 1.0278

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

Aboveground biomass = 1.0278 * exp(-2.9687 + 1.3301 * ln(D) + 1.446 * ln(H))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Fit on Dataset #1 (15 beech, 14 fir site trees). Whole-tree dry AGB including foliage (stem and branches with leaves/needles weighed and dried). Equation form AGB = exp(β0)·D^β1·(H^β2)·CF with CF = exp(σ²/2) printed in Table 5 and applied here. D in cm, H in m, output kg (units not restated beside Table 5; stated in Table 1 for D, H, AGB).

Source
15 European beech and 14 silver fir trees
Trees measured · Section 2.1.2, p. 3
Trees measured
14
DBH range
6.3–92.6 cm
Height range
3.5–43.5 m
Residual SE
0.2344
Correction factor
1.0278 (applied)
Method
linear regression on log-transformed data (site-specific sample)
Where
Șinca virgin forest, Romania
Last checked
2026-11-02
Calculate
Height from
156
Aboveground biomass (kg)
73.5
Carbon (kg), ×0.47
270
CO₂e (kg), ×44/12
Fitted DBH range0100200300400510152025303540DBH (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 = 16156156Computed from the printed form
computed from the published form (coefficients as printed)
D = 50, H = 301,3131,313Computed from the printed form
computed from the published form (coefficients as printed)

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