Table 4 Coverage probabilities, for a nominal 95% level, of four methods to estimate confidence intervals for male gametic immigration estimates: standard bootstrap (S-Boot), simple percentile bootstrap (SP-Boot), accelerated bias-corrected percentile bootstrap (ABC-Boot) and profile-likelihood (P-Likelihood) method (Manly, 1997; Coles, 2001)

From: Estimating gametic introgression rates in a risk assessment context: a case study with Scots pine relicts

n

m

S-Boot

SP-Boot

ABC-Boot

P-Likelihood

  

LLTH

ULTL

LLTH

ULTL

LLTH

ULTL

LLTH

ULTL

20

0

0.02

0

0.02

0

0.32

0

0.04

0

 

0.05

0.05

33.49

0.04

32.60

0.92

31.99

2.03

0

 

0.10

0.19

33.63

0.40

23.61

2.98

20.42

1.97

0

 

0.15

0.51

28.02

0.77

19.19

3.20

12.85

2.35

0

 

0.20

0.55

22.30

0.82

15.91

3.17

8.46

2.12

1.90

 

0.40

1.00

9.69

1.69

6.89

3.25

3.98

2.60

4.24

 

0.80

2.84

4.08

3.63

3.35

5.34

3.35

3.03

2.82

 

1

1.17

2.22

5.89

1.92

7.26

2.95

0

2.37

40

0

0

0

0

0

34.95

0

0

0

 

0.05

0.08

37.76

0.22

31.69

7.77

16.78

2.15

0

 

0.10

0.45

25.30

0.63

19.73

4.00

11.20

2.23

0.36

 

0.15

0.54

15.54

0.84

11.69

4.26

6.30

2.38

5.28

 

0.20

0.93

11.12

1.24

7.73

4.26

3.58

2.48

4.72

 

0.40

1.72

5.74

2.08

4.56

4.38

3.02

2.61

2.90

 

0.80

2.73

2.98

3.70

2.61

4.27

4.18

3.20

2.38

 

1

0

1.55

0

1.54

0

3.50

0

2.09

138

0

0

0

0

0

4.44

3.81

2.31

3.02

 

0.05

0.32

14.85

0.63

14.27

4.67

4.26

2.38

2.74

 

0.10

0.76

8.55

1.10

6.70

4.69

4.59

2.37

2.36

 

0.15

1.00

6.49

1.34

5.12

4.20

4.82

2.60

2.36

 

0.20

1.28

5.45

1.52

4.44

0

4.57

0

2.22

 

0.40

1.78

3.68

1.97

3.35

0.23

0

0

0

 

0.80

2.52

2.52

2.83

2.52

4.65

3.65

2.19

2.72

 

1

0

1.69

0

1.82

4.94

4.25

2.48

2.25

440

0

0

0

0

0

4.95

4.89

2.20

2.43

 

0.05

0.69

7.39

1.02

5.65

4.95

4.92

2.18

2.48

 

0.10

1.30

4.60

1.64

3.93

4.72

4.77

2.32

2.13

 

0.15

1.40

4.47

1.62

3.80

4.78

5.30

2.57

2.76

 

0.20

1.56

3.82

1.74

3.46

0

4.95

0

2.30

 

0.40

2.00

2.93

2.17

2.66

4.44

3.81

2.31

3.02

 

0.80

2.81

2.88

2.63

2.98

4.67

4.26

2.38

2.74

 

1

0

1.95

0

2.16

4.69

4.59

2.37

2.36

  1. The percentage of times that the lower confidence limit was too high (LLTH) and the upper limit too low (ULTL) were assessed based on 10 000 independent simulations of the immigration process, assuming different sample sizes (n) and immigration rates (m). Values exceeding nominal limits are shown in italics.