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Table 4 Allometric relationships established for poplar and black locust trees at ages 17, 28, 40, and 51 months. Number of trees (n), determination coefficients (R2), and root mean square errors (RMSE) are also indicated. When data did not differ between treatments, trees from the monoculture (Mono) and mixtures (Mix) were combined for the establishment of the relationships. Dv = virtual diameter (mm); H = stem height (cm)

From: Prevalence of interspecific competition in a mixed poplar/black locust plantation under adverse climate conditions

 

Species

Treatment

Age (months)

Equation

n

R 2

RMSE

Aboveground dry biomass (g)

Poplar

Mix + mono

17

40.86 Dv − 1.859 H − 224.58

16

0.98

29.36

 

Mix + mono

28

0.002733 Dv2H + 401.6

16

0.85

289.4

 

Mix + mono

40

0.3764 Dv2.3696

16

0.92

489.5

 

Mix + mono

51

225.154 Dv − 7.111 H − 2348.787

16

0.98

550.7

Black locust

Mix + mono

17

− 35.229 Dv + 7.154 H − 278.849

16

0.70

130.9

 

Mix + mono

28

0.006212 Dv2H + 92.3

15

0.85

298.4

 

Mono

40

12.392 Dv + 1.474

8

0.82

451.5

 

Mix

40

22.933 Dv + 1.149

8

  
 

Mix + mono

51

150.46 Dv + 3.342 H − 3129.105

16

0.82

1136.6

Belowground dry biomass (g)

Poplar

Mix + mono

17

6.976 Dv − 0.589 H + 27.873

16

0.97

4.53

 

Mix + mono

28

0.0005875 Dv2H + 123.5

15

0.74

93.33

 

Mix + mono

40

0.0008378 D2H + 212.6

16

0.72

220.7

 

Mix + mono

51

60.447 Dv + 3.681 H − 51.487

16

0.97

156.0

Black locust

Mix + mono

17

− 25.434 Dv + 2.886 H + 73.571

16

0.68

46.03

 

Mix + mono

28

0.002498 D2H + 170.5

14

0.77

172.4

 

Mono

40

7.1335 Dv1.4746

8

0.82

171.8

 

Mix

40

37.8555 Dv0.7618

8

  
 

Mix + mono

51

39.07 Dv + 3.121 H − 1296.275

16

0.89

284.8

Woody dry biomass (g)

Poplar

Mix + mono

17

39.95 Dv − 2.476 H − 116.456

16

0.95

34.70

 

Mix + mono

28

0.002096 Dv2H + 307.3

16

0.88

201

 

Mix + mono

40

0.3328 Dv2.3359

16

  
 

Mix + mono

51

187.343 Dv − 5.754 H − 2050.765

16

0.97

527.4

Black locust

Mix + mono

17

− 44.106 Dv + 7.064 H − 94.291

16

0.66

130.7

 

Mix + mono

28

0.004772 Dv2H + 112.4

15

0.89

186

 

Mono

40

5.462 Dv1.642

8

0.90

248.5

 

Mix

40

16.7 Dv1.226

8

  
 

Mix + mono

51

138.704 Dv + 1.43 H − 2596.573

16

0.83

931.6

Leaf area (cm2)

Poplar

Mix + mono

17

919.397 Dv + 2.807 H − 8271.516

16

0.97

1310

 

Mix + mono

28

0.08214 Dv2H + 11,190

15

0.90

6471

 

Mono

40

20.013 Dv2.158

8

0.91

11,971

 

Mix

40

404.956 Dv1.355

8

  
 

Mix + mono

51

4527.423 Dv − 176.623 H − 37,990.959

16

0.98

11,296

Black locust

Mix + mono

17

− 1499.256 Dv + 343.852 H − 16,597.968

16

0.65

7264

 

Mix + mono

28

0.373 D3.7472

15

0.93

8678

 

Mono

40

7.4951 Dv2.5952

8

0.72

23,956

 

Mix

40

1157.2757 Dv0.6673

8

  
 

Mix + mono

51

5841.87 Dv + 25.658 H − 115,491.008

16

0.65

43,385

N total (g)

Poplar

Mix + mono

17

0.314 Dv − 0.006 H − 2.179

16

0.95

1.555

 

Mix + mono

28

0.00002824 Dv2H + 5.709

16

0.85

3.126

 

Mix + mono

40

0.00002071 Dv2H + 5.356

16

0.76

6.014

 

Mix + mono

51

0.475 Dv − 0.023 H + 0.084

16

0.98

0.959

Black locust

Mix + mono

17

− 0.738 Dv + 0.151 H − 6.654

16

0.72

2.662

 

Mix + mono

28

0.0000481 Dv2H1.10269

15

0.82

5.461

 

Mono

40

1.0467 Dv0.6915

8

0.75

9.612

 

Mix

40

0.6915 Dv0.929

8

  
 

Mix + mono

51

1.223 Dv + 0.075 H − 32.887

16

0.78

1.281