# Dutcă et al. 2020: Allometric Biomass Models for European Beech and Silver Fir: Testing Approaches to Minimize the Demand for Site-Specific Biomass Observations

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: https://doi.org/10.3390/f11111136
- Access: open access
- Copy we read: https://bucks.repository.guildhe.ac.uk/id/eprint/18110/1/forests-11-01136.pdf
- Status: no retraction or correction notice recorded (Crossref is asked weekly); last checked 2026-11-02
- Page: https://treeallometry.org/sources/dutca-2020/

## Equations from this source (20)

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

Aboveground biomass for Fagus sylvatica, Romania. Inputs: DBH + Height. DBH 5.7–86.3 cm. 15 trees.

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

Page: https://treeallometry.org/equations/dutca-2020-beech-bay1-dh/

### European beech AGB, Bayesian, Dataset #1, D only

Aboveground biomass for Fagus sylvatica, Romania. Inputs: DBH. DBH 5.7–86.3 cm. 15 trees.

As printed (Table 5, European beech, Bayesian, Dataset #1, ln(D) (Equation 2; back-transformed as Equation 4)):

> ln(D): β0 = -2.1768, β1 = 2.4884, RSE = 0.2042, CF = 1.0211

Page: https://treeallometry.org/equations/dutca-2020-beech-bay1-d/

### European beech AGB, Bayesian, Dataset #2, D and H

Aboveground biomass for Fagus sylvatica, Romania. Inputs: DBH + Height. DBH 5.7–20 cm. 7 trees.

As printed (Table 5, European beech, Bayesian, Dataset #2, ln(D),ln(H) (Equation 3; back-transformed as Equation 5)):

> ln(D),ln(H): β0 = -2.9856, β1 = 2.1347, β2 = 0.6324, RSE = 0.1475, CF = 1.0109

Page: https://treeallometry.org/equations/dutca-2020-beech-bay2-dh/

### European beech AGB, Bayesian, Dataset #2, D only

Aboveground biomass for Fagus sylvatica, Romania. Inputs: DBH. DBH 5.7–20 cm. 7 trees.

As printed (Table 5, European beech, Bayesian, Dataset #2, ln(D) (Equation 2; back-transformed as Equation 4)):

> ln(D): β0 = -2.1456, β1 = 2.4349, RSE = 0.2363, CF = 1.0283

Page: https://treeallometry.org/equations/dutca-2020-beech-bay2-d/

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

Aboveground biomass for Fagus sylvatica, Romania. Inputs: DBH + Height. DBH 5.7–86.3 cm. 15 trees.

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

> ln(D),ln(H): β0 = -3.1632, β1 = 2.1468, β2 = 0.6909, RSE = 0.1, CF = 1.005

Page: https://treeallometry.org/equations/dutca-2020-beech-lm1-dh/

### European beech AGB, LM, Dataset #1, D only

Aboveground biomass for Fagus sylvatica, Romania. Inputs: DBH. DBH 5.7–86.3 cm. 15 trees.

As printed (Table 5, European beech, LM, Dataset #1, ln(D) (Equation 2; back-transformed as Equation 4)):

> ln(D): β0 = -2.6634, β1 = 2.6368, RSE = 0.1337, CF = 1.0089

Page: https://treeallometry.org/equations/dutca-2020-beech-lm1-d/

### European beech AGB, RIM, Dataset #3, D and H

Aboveground biomass for Fagus sylvatica, Romania. Inputs: DBH + Height. DBH 5.2–86.3 cm. 159 trees.

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

> ln(D),ln(H): β0 = -3.0039, β1 = 2.1151, β2 = 0.6733, RSE = 0.145, CF = 1.0106

Page: https://treeallometry.org/equations/dutca-2020-beech-rim3-dh/

### European beech AGB, RIM, Dataset #3, D only

Aboveground biomass for Fagus sylvatica, Romania. Inputs: DBH. DBH 5.2–86.3 cm. 159 trees.

As printed (Table 5, European beech, RIM, Dataset #3, ln(D) (Equation 2; back-transformed as Equation 4)):

> ln(D): β0 = -2.1312, β1 = 2.4714, RSE = 0.1712, CF = 1.0148

Page: https://treeallometry.org/equations/dutca-2020-beech-rim3-d/

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

Aboveground biomass for Fagus sylvatica, Romania. Inputs: DBH + Height. DBH 5.2–62.1 cm. 151 trees.

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

Page: https://treeallometry.org/equations/dutca-2020-beech-rim4-dh/

### European beech AGB, RIM, Dataset #4, D only

Aboveground biomass for Fagus sylvatica, Romania. Inputs: DBH. DBH 5.2–62.1 cm. 151 trees.

As printed (Table 5, European beech, RIM, Dataset #4, ln(D) (Equation 2; back-transformed as Equation 4)):

> ln(D): β0 = -2.1625, β1 = 2.4368, RSE = 0.1683, CF = 1.0143

Page: https://treeallometry.org/equations/dutca-2020-beech-rim4-d/

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

Aboveground biomass for Abies alba, Romania. Inputs: DBH + Height. DBH 6.3–92.6 cm. 14 trees.

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

> ln(D),ln(H): β0 = -2.7679, β1 = 1.9264, β2 = 0.6847, RSE = 0.2788, CF = 1.0396

Page: https://treeallometry.org/equations/dutca-2020-fir-bay1-dh/

### Silver fir AGB, Bayesian, Dataset #1, D only

Aboveground biomass for Abies alba, Romania. Inputs: DBH. DBH 6.3–92.6 cm. 14 trees.

As printed (Table 5, silver fir, Bayesian, Dataset #1, ln(D) (Equation 2; back-transformed as Equation 4)):

> ln(D): β0 = -2.3284, β1 = 2.3859, RSE = 0.3965, CF = 1.0818

Page: https://treeallometry.org/equations/dutca-2020-fir-bay1-d/

### Silver fir AGB, Bayesian, Dataset #2, D and H

Aboveground biomass for Abies alba, Romania. Inputs: DBH + Height. DBH 6.3–27.9 cm. 7 trees.

As printed (Table 5, silver fir, Bayesian, Dataset #2, ln(D),ln(H) (Equation 3; back-transformed as Equation 5)):

> ln(D),ln(H): β0 = -2.6917, β1 = 1.9063, β2 = 0.6305, RSE = 0.3192, CF = 1.0523

Page: https://treeallometry.org/equations/dutca-2020-fir-bay2-dh/

### Silver fir AGB, Bayesian, Dataset #2, D only

Aboveground biomass for Abies alba, Romania. Inputs: DBH. DBH 6.3–27.9 cm. 7 trees.

As printed (Table 5, silver fir, Bayesian, Dataset #2, ln(D) (Equation 2; back-transformed as Equation 4)):

> ln(D): β0 = -2.3553, β1 = 2.3316, RSE = 0.4064, CF = 1.0861

Page: https://treeallometry.org/equations/dutca-2020-fir-bay2-d/

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

Aboveground biomass for Abies alba, Romania. Inputs: DBH + Height. DBH 6.3–92.6 cm. 14 trees.

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

Page: https://treeallometry.org/equations/dutca-2020-fir-lm1-dh/

### Silver fir AGB, LM, Dataset #1, D only

Aboveground biomass for Abies alba, Romania. Inputs: DBH. DBH 6.3–92.6 cm. 14 trees.

As printed (Table 5, silver fir, LM, Dataset #1, ln(D) (Equation 2; back-transformed as Equation 4)):

> ln(D): β0 = -3.4141, β1 = 2.6997, RSE = 0.2965, CF = 1.0449

Page: https://treeallometry.org/equations/dutca-2020-fir-lm1-d/

### Silver fir AGB, RIM, Dataset #3, D and H

Aboveground biomass for Abies alba, Romania. Inputs: DBH + Height. DBH 5.1–92.6 cm. 116 trees.

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

> ln(D),ln(H): β0 = -2.8079, β1 = 1.7737, β2 = 0.8745, RSE = 0.1624, CF = 1.0133

Page: https://treeallometry.org/equations/dutca-2020-fir-rim3-dh/

### Silver fir AGB, RIM, Dataset #3, D only

Aboveground biomass for Abies alba, Romania. Inputs: DBH. DBH 5.1–92.6 cm. 116 trees.

As printed (Table 5, silver fir, RIM, Dataset #3, ln(D) (Equation 2; back-transformed as Equation 4)):

> ln(D): β0 = -2.4756, β1 = 2.4219, RSE = 0.2033, CF = 1.0209

Page: https://treeallometry.org/equations/dutca-2020-fir-rim3-d/

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

Aboveground biomass for Abies alba, Romania. Inputs: DBH + Height. DBH 5.1–64 cm. 109 trees.

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

Page: https://treeallometry.org/equations/dutca-2020-fir-rim4-dh/

### Silver fir AGB, RIM, Dataset #4, D only

Aboveground biomass for Abies alba, Romania. Inputs: DBH. DBH 5.1–64 cm. 109 trees.

As printed (Table 5, silver fir, RIM, Dataset #4, ln(D) (Equation 2; back-transformed as Equation 4)):

> ln(D): β0 = -2.5086, β1 = 2.3561, RSE = 0.1824, CF = 1.0168

Page: https://treeallometry.org/equations/dutca-2020-fir-rim4-d/
