Tree Allometrics

Fagus sylvatica / Aboveground biomass

European beech AGB, RIM, Dataset #4, D and H

Aboveground biomassFagus sylvatica · FagaceaeRomanianaturalRead from the original paper
Photo of Fagus sylvatica
© Rebecca Gimenez Husted · CC BY · iNaturalist
Equation

As printed (Table 5, European beech, RIM, Dataset #4, ln(D),ln(H) (Equation 3; back-transformed as Equation 5))

ln(D),ln(H): β0 = -2.9793, β1 = 2.1191, β2 = 0.6512, RSE = 0.1474, CF = 1.0109

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

Aboveground biomass = 1.0109 * exp(-2.9793 + 2.1191 * ln(D) + 0.6512 * ln(H))
D
Diameter at breast height (1.3 m), cm
H
Total tree height, m

Fit on Dataset #4 (generic + reduced site sample of 7 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). For RIM models the parameters printed are those retained for the Șinca site. Fit ranges are those of Dataset #4 (Table 4: generic trees plus the 7 smallest site trees).

Source
D range (cm) 5.2–62.1
Smallest DBH · Table 4, Dataset #4, European beech
H range (m) 6.2–33.0
h min m · Table 4, Dataset #4, European beech
151 (i.e., 144 + 7) / 109 (i.e., 102 + 7)
Trees measured · Table 4, sample size
Trees measured
151
DBH range
5.2–62.1 cm
Height range
6.2–33 m
Residual SE
0.1474
Correction factor
1.0109 (applied)
Method
random intercept mixed model on log-log data (generic plus site-specific trees); estimates for the Șinca site
Where
Șinca virgin forest, Romania
Last checked
2026-11-02
Calculate
Height from
179
Aboveground biomass (kg)
84
Carbon (kg), ×0.47
308
CO₂e (kg), ×44/12
Fitted DBH range0200400600800510152025303540DBH (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 = 16179179Computed from the printed form
computed from the published form (coefficients as printed)
D = 50, H = 301,8751,875Computed from the printed form
computed from the published form (coefficients as printed)

Report a problem with this equation · JSON

Related

Compare these curves