Ecological Archives M085-004-A3

Joshuah S. Perkin, Keith B. Gido, Arthur R. Cooper, Thomas F. Turner, Megan J. Osborne, Eric R. Johnson, and Kevin B. Mayes. 2015. Fragmentation and dewatering transform Great Plains stream fish communities. Ecological Monographs 85:73–92. http://dx.doi.org/10.1890/14-0121.1

Appendix C. A table showing details and rankings of candidate generalized linear models included in the information theoretic approach used to predict probability of occurrence for fish reproductive guilds in the Great Plains.

Table C1. Candidate generalized linear models developed to predict probability of occurrence for 11 fish reproductive guilds in the Great Plains. Model parameters are given along with number of parameters (K), Akaike's Information Criterion adjusted for small sample size (AICc), the AICc difference between each model and the highest ranked model (Delta AICc), the AIC weight (AIC Wi), cumulative weights (Cum Wi), and loglikelihood values (LL).

Small-bodied pelagophilic

K

AICc

Delta AICc

 AIC Wi

Cum Wi

LL

length+dry

3

35.74

0

0.51

0.51

-14.52

length

2

37.51

1.76

0.21

0.72

-16.58

length+discharge+dry

4

38.16

2.42

0.15

0.87

-14.47

length+discharge

3

40.06

4.32

0.06

0.93

-16.68

dry

2

40.38

4.63

0.05

0.98

-18.02

discharge+dry

3

42.9

7.16

0.01

0.99

-18.1

intercept

1

44.04

8.3

0.01

1

-20.97

discharge

2

46.08

10.34

0

1

-20.87
             

Large-bodied pelagophilic

K

AICc

Delta AICc

 AIC Wi

Cum Wi

LL

discharge

2

29.75

0

0.31

0.31

-12.7

intercept

1

30.69

0.94

0.19

0.5

-14.29

discharge+dry

3

31.52

1.77

0.13

0.63

-12.41

dry

2

31.61

1.86

0.12

0.75

-13.63

length+discharge

3

31.88

2.13

0.11

0.86

-12.58

length

2

32.92

3.17

0.06

0.92

-14.29

length+discharge+dry

4

33.73

3.98

0.04

0.96

-12.26

length+dry

3

33.93

4.18

0.04

1

-13.61
             

Large-bodied lithopelagophilic

K

AICc

Delta AICc

 AIC Wi

Cum Wi

LL

discharge

2

46.54

0

0.59

0.59

-21.1

length+discharge

3

49.06

2.52

0.17

0.76

-21.18

discharge+dry

3

49.18

2.64

0.16

0.92

-21.24

length+discharge+dry

4

51.81

5.27

0.04

0.96

-21.3

intercept

1

53.85

7.31

0.02

0.97

-25.87

length

2

54.28

7.73

0.01

0.99

-24.97

dry

2

55.16

8.62

0.01

0.99

-25.41

length+dry

3

55.97

9.43

0.01

1

-24.63
             

Small-bodied lithopelagophilic

K

AICc

Delta AICc

 AIC Wi

Cum Wi

LL

length+dry

3

35.59

0

0.53

0.53

-14.44

length

2

37.22

1.63

0.23

0.76

-16.44

length+discharge+dry

4

38.86

3.26

0.1

0.86

-14.82

length+discharge

3

40.03

4.44

0.06

0.92

-16.66

dry

2

40.2

4.61

0.05

0.97

-17.93

discharge+dry

3

43

7.41

0.01

0.99

-18.15

intercept

1

43.78

8.18

0.01

1

-20.83

discharge

2

45.57

9.97

0

1

-20.61
             

Large-bodied phytolithophilic

K

AICc

Delta AICc

 AIC Wi

Cum Wi

LL

discharge

2

52.99

0

0.35

0.35

-24.32

length+discharge

3

54.28

1.29

0.18

0.53

-23.79

intercept

1

54.74

1.75

0.14

0.67

-26.31

discharge+dry

3

55.12

2.13

0.12

0.79

-24.21

dry

2

55.94

2.95

0.08

0.87

-25.8

length+discharge+dry

4

56.65

3.66

0.06

0.93

-23.72

length

2

57.01

4.02

0.05

0.98

-26.33

length+dry

3

58.31

5.32

0.02

1

-25.8
             

Small-bodied open substrate lithophilic

K

AICc

Delta AICc

 AIC Wi

Cum Wi

LL

intercept

1

43.82

0

0.3

0.3

-20.86

length

2

43.94

0.12

0.28

0.58

-19.8

length+discharge

3

45.81

1.99

0.11

0.69

-19.55

dry

2

46.25

2.42

0.09

0.78

-20.95

discharge

2

46.3

2.47

0.09

0.86

-20.98

length+dry

3

46.52

2.69

0.08

0.94

-19.91

length+discharge+dry

4

48.3

4.48

0.03

0.97

-19.54

discharge+dry

3

48.68

4.86

0.03

1

-20.99
             

Small-bodied hider speleophilic

K

AICc

Delta AICc

 AIC Wi

Cum Wi

LL

dry

2

15.53

0

0.45

0.45

-5.59

discharge+dry

3

17.62

2.09

0.16

0.61

-5.45

length+dry

3

17.9

2.37

0.14

0.74

-5.6

discharge

2

18.89

3.36

0.08

0.83

-7.27

intercept

1

19.11

3.58

0.07

0.9

-8.5

length+discharge+dry

4

20.09

4.57

0.05

0.95

-5.44

length+discharge

3

20.97

5.44

0.03

0.98

-7.13

length

2

21.37

5.84

0.02

1

-8.51
             

Large-bodied nesting lithophilic

K

AICc

Delta AICc

 AIC Wi

Cum Wi

LL

intercept

1

44.14

0

0.4

0.4

-21.01

length

2

45.27

1.13

0.23

0.63

-20.46

dry

2

46.35

2.21

0.13

0.77

-21

discharge

2

47.36

3.22

0.08

0.85

-21.51

length+dry

3

47.64

3.5

0.07

0.92

-20.47

length+discharge

3

48.57

4.44

0.04

0.96

-20.93

discharge+dry

3

49.7

5.57

0.02

0.99

-21.5

length+discharge+dry

4

51.08

6.94

0.01

1

-20.93
             

Large-bodied nesting polyphilic

K

AICc

Delta AICc

 AIC Wi

Cum Wi

LL

intercept

1

52.13

0

0.4

0.4

-25.01

discharge

2

54

1.87

0.16

0.55

-24.83

dry

2

54.01

1.88

0.15

0.71

-24.83

length

2

54.33

2.21

0.13

0.84

-25

discharge+dry

3

56.14

4.01

0.05

0.89

-24.72

length+dry

3

56.36

4.23

0.05

0.94

-24.83

length+discharge

3

56.37

4.24

0.05

0.98

-24.83

length+discharge+dry

4

58.66

6.53

0.02

1

-24.72
             

Small-bodied nesting speleophilic

K

AICc

Delta AICc

 AIC Wi

Cum Wi

LL

intercept

1

33.87

0

0.44

0.44

-15.88

length

2

36.05

2.18

0.15

0.58

-15.85

discharge

2

36.07

2.2

0.14

0.73

-15.86

dry

2

36.24

2.37

0.13

0.86

-15.95

length+discharge

3

38.43

4.56

0.04

0.9

-15.86

length+dry

3

38.55

4.68

0.04

0.95

-15.92

discharge+dry

3

38.57

4.7

0.04

0.99

-15.93

length+discharge+dry

4

41.06

7.19

0.01

1

-15.93
             

Large-bodied nesting speleophilic

K

AICc

Delta AICc

 AIC Wi

Cum Wi

LL

intercept

1

48.36

0

0.25

0.25

-23.13

discharge

2

49.13

0.76

0.17

0.42

-22.39

length

2

49.17

0.81

0.17

0.59

-22.42

dry

2

49.35

0.98

0.15

0.74

-22.5

length+dry

3

50.47

2.11

0.09

0.83

-21.88

length+discharge

3

50.82

2.46

0.07

0.9

-22.06

discharge+dry

3

50.83

2.46

0.07

0.97

-22.06

length+discharge+dry

4

52.66

4.3

0.03

1

-21.73

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