Abies alba / Aboveground biomass

Silver fir AGB, RIM, Dataset #4, D and H

Aboveground biomassAbies alba · PinaceaeRomanianaturalRead from the original paper

Equation

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

ln(D),ln(H): β0 = -2.7987, β1 = 1.8076, β2 = 0.804, RSE = 0.1548, CF = 1.0121

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

Aboveground biomass = 1.0121 * exp(-2.7987 + 1.8076 * ln(D) + 0.804 * 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

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

D range (cm) 5.1–64.0

Smallest DBH · Table 4, Dataset #4, silver fir

H range (m) 3.5–28.9

h min m · Table 4, Dataset #4, silver fir

151 (i.e., 144 + 7) / 109 (i.e., 102 + 7)

Trees measured · Table 4, sample size

Trees measured: 109
DBH range: 5.1–64 cm
Height range: 3.5–28.9 m
Residual SE: 0.1548
Correction factor: 1.0121 (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

DBH (cm)Height (m)

Height from

129

Aboveground biomass (kg)

60.5

Carbon (kg), ×0.47

222

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	129	129	Computed from the printed form computed from the published form (coefficients as printed)
D = 50, H = 30	1,118	1,118	Computed from the printed form computed from the published form (coefficients as printed)

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Silver fir AGB, Bayesian, Dataset #1, D only · Dutcă et al. 2020 · DBH
Silver fir AGB, Bayesian, Dataset #1, D and H · Dutcă et al. 2020 · DBH + Height
Silver fir AGB, Bayesian, Dataset #2, D only · Dutcă et al. 2020 · DBH
Silver fir AGB, Bayesian, Dataset #2, D and H · Dutcă et al. 2020 · DBH + Height
Silver fir AGB, LM, Dataset #1, D only · Dutcă et al. 2020 · DBH
Silver fir AGB, LM, Dataset #1, D and H · Dutcă et al. 2020 · DBH + Height
Silver fir AGB, RIM, Dataset #3, D only · Dutcă et al. 2020 · DBH
Silver fir AGB, RIM, Dataset #3, D and H · Dutcă et al. 2020 · DBH + Height
European beech AGB, Bayesian, Dataset #1, D only · same paper · Aboveground biomass
European beech AGB, Bayesian, Dataset #1, D and H · 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

Compare these curves

Silver fir AGB, RIM, Dataset #4, D and H

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