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Table 6 Four descriptors of cluster structure (poc := proportion of individuals organized in clusters, ecs := effective cluster size, acs := average cluster size, enc := effective number of clusters) for the primary and α-isolated cluster structures

From: Spatiogenetic characteristics of beech stands with different degrees of autochthony

genetic difference d0 used in d sg , α = 0. 185

stand

primary cluster structure

α-isolated cluster structure

 

poc

ecs

acs

enc

poc

ecs

acs

enc

Laubach A

.644

4.29

3.40

19.79

.386

9.86

5.10

5.17

Laubach C

.507

3.56

3.00

10.13

.310

3.09

2.75

7.12

Horn

.652

3.54

3.06

30.21

.268

2.18

2.10

20.17

Karlshafen

.641

3.51

2.94

25.96

.296

2.48

2.33

16.96

genetic difference d J used in d sg , α = 0. 159

stand

primary cluster structure

α-isolated cluster structure

 

poc

ecs

acs

enc

poc

ecs

acs

enc

Laubach A

.652

3.42

2.97

25.16

.295

2.44

2.29

16.01

Laubach C

.704

3.72

3.13

13.44

.394

2.43

2.33

11.53

Horn

.616

3.14

2.73

32.18

.244

2.00

2.00

20.00

Karlshafen

.592

3.07

2.63

27.35

.331

2.96

2.47

15.89

genetic difference d ur used in d sg , α = 0. 153

stand

primary cluster structure

α-isolated cluster structure

 

poc

ecs

acs

enc

poc

ecs

acs

enc

Laubach A

.182

2.83

2.67

8.47

.045

2.00

2.00

3.00

Laubach C

.479

3.94

3.40

8.63

.296

2.71

2.63

7.74

Horn

.232

3.00

2.71

12.67

.146

2.25

2.18

10.67

Karlshafen

.296

5.14

3.23

8.17

.155

2.73

2.44

8.07

  1. N := number of individuals in a stand, N c := number of individuals organized in clusters, k := number of clusters, n i := size of the i -th cluster. poc = N c /N, e c s = i n i 2 / N c MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciGacaGaaeqabaqabeGadaaakeaacqWGLbqzcqWGJbWycqWGZbWCcqGH9aqpdaaeqaqaaiabd6gaUnaaDaaaleaacqWGPbqAaeaacqaIYaGmaaGccqGGVaWlcqWGobGtdaWgaaWcbaGaem4yamgabeaaaeaacqWGPbqAaeqaniabggHiLdaaaa@3C67@ , acs = N c /k, e n c = N c 2 / i n i 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciGacaGaaeqabaqabeGadaaakeaacqWGLbqzcqWGUbGBcqWGJbWycqGH9aqpcqWGobGtdaqhaaWcbaGaem4yamgabaGaeGOmaidaaOGaei4la8YaaabeaeaacqWGUbGBdaqhaaWcbaGaemyAaKgabaGaeGOmaidaaaqaaiabdMgaPbqab0GaeyyeIuoaaaa@3D50@ ; hence, N c = poc·N = acs·k = ecs·enc