Equations / Aboveground biomass

European beech AGB, Bayesian, Dataset #1, D and H

Aboveground biomassFagus sylvatica · FagaceaeRomanianaturalRead from the original paper

Equation

As printed (Table 5, European beech, Bayesian, Dataset #1, ln(D),ln(H) (Equation 3; back-transformed as Equation 5))

ln(D),ln(H): β0 = -3.0637, β1 = 2.1497, β2 = 0.6553, RSE = 0.1091, CF = 1.006

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

Aboveground biomass = 1.006 * exp(-3.0637 + 2.1497 * ln(D) + 0.6553 * ln(H))

D: Diameter at breast height (1.3 m), cm
H: Total tree height, m

Fit on Dataset #1 (full site sample, Bayesian priors from generic data). 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

Dutcă, I., Zianis, D., Petrițan, I. C., Bragă, C. I., Ștefan, G., Yuste, J. C., & Petrițan, A. M. (2020). Allometric Biomass Models for European Beech and Silver Fir: Testing Approaches to Minimize the Demand for Site-Specific Biomass Observations. Forests, 11(11), 1136.

doi:10.3390/f11111136 · Open access · copy we read

15 European beech and 14 silver fir trees

Trees measured · Section 2.1.2, p. 3

Trees measured: 15
DBH range: 5.7–86.3 cm
Height range: 6.2–40.3 m
Residual SE: 0.1091
Correction factor: 1.006 (applied)
Method: Bayesian log-log model with informative priors from the generic sample
Where: Șinca virgin forest, Romania
Last checked: 2026-11-02

Calculate

DBH (cm)Height (m)

Height from

181.1

Aboveground biomass (kg)

85.12

Carbon (kg), ×0.47

312.1

CO₂e (kg), ×44/12

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%.

Inputs	Expected	We get	From
D = 20, H = 16	181.1	181.1	Computed from the printed form computed from the published form (coefficients as printed)
D = 50, H = 30	1,960	1,960	Computed from the printed form computed from the published form (coefficients as printed)

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Beech on dry sites, total aboveground dry biomass from DBH (Table 3) · Chakraborty et al. 2016 · DBH
Beech saplings on dry sites, total aboveground dry biomass from root-collar diameter (Table 2) · Chakraborty et al. 2016 · Root collar diameter
European beech AGB, Bayesian, Dataset #1, D only · Dutcă et al. 2020 · DBH
European beech AGB, Bayesian, Dataset #2, D only · Dutcă et al. 2020 · DBH
European beech AGB, Bayesian, Dataset #2, D and H · Dutcă et al. 2020 · DBH + Height
European beech AGB, LM, Dataset #1, D only · Dutcă et al. 2020 · DBH
European beech AGB, LM, Dataset #1, D and H · Dutcă et al. 2020 · DBH + Height
European beech AGB, RIM, Dataset #3, D only · Dutcă et al. 2020 · DBH
European beech AGB, Bayesian, Dataset #1, D only · same paper · Aboveground biomass
European beech AGB, Bayesian, Dataset #2, D only · same paper · Aboveground biomass
European beech AGB, Bayesian, Dataset #2, D and H · same paper · Aboveground biomass
European beech AGB, LM, Dataset #1, D only · same paper · Aboveground biomass
European beech AGB, LM, Dataset #1, D and H · same paper · Aboveground biomass
European beech AGB, RIM, Dataset #3, D only · same paper · Aboveground biomass
European beech AGB, RIM, Dataset #3, D and H · same paper · Aboveground biomass
European beech AGB, RIM, Dataset #4, D only · same paper · Aboveground biomass

Compare these curves

European beech AGB, Bayesian, Dataset #1, D and H

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