Ecological Archives E094-025-A4

Graham G. Frye, John W. Connelly, David D. Musil, Jennifer S. Forbey. 2013. Phytochemistry predicts habitat selection by an avian herbivore at multiple spatial scales. Ecology 94:308–314. http://dx.doi.org/10.1890/12-1313.1

Appendix D. Model-selection tables for hierarchical analysis of Greater Sage-Grouse (Centrocercus urophasianus) habitat selection at each of three spatial scales.

Table D1. Deviance, number of parameters (K), Akaike’s Information Criterion with sample size bias adjustment (AICc), change in AICc value from top model (ΔAICc), and model weight (wi) for Greater Sage-Grouse (Centrocercus urophasianus) binary logit habitat-selection models at each of three spatial scales during the final stage of model selection. Data were collected during winter in south-central Idaho, USA. The top seven models and the null (intercept-only) model from each predictor category are presented.

Scale

Model

Deviance

K

AICc

ΔAICc

wi

Habitat type

CP1 + Total monoterpene² + Height3

18.48

4

27.28

0.00

0.71

 

CP + Height

23.71

3

30.18

2.90

0.17

 

Total monoterpene + Height

24.75

3

31.22

3.94

0.10

 

Height

30.37

2

34.60

7.32

0.02

 

CP + Total monoterpene

40.70

3

47.17

19.89

0.00

 

Total monoterpene

48.36

2

52.59

25.31

0.00

 

CP + Height

63.09

2

67.32

40.04

0.00

 

NULL

69.55

1

71.62

44.34

0.00

 

 

 

 

 

 

 

Patch

CP + Unknown #14

110.66

3

116.94

0.00

0.41

 

CP + Unknown #1 + 1,8-cineole4

108.82

4

117.29

0.35

0.34

 

CP

115.14

2

119.27

2.33

0.13

 

CP + 1,8-cineole

113.73

3

120.01

3.07

0.09

 

Unknown #1

119.70

2

123.84

6.90

0.01

 

Unknown #1 + 1,8-cineole

118.03

3

124.30

7.36

0.01

 

NULL

122.96

1

125.00

8.06

0.01

 

1,8-cineole

121.62

2

125.76

8.82

0.00

 

 

 

 

 

 

 

Plant

CP + α-pinene4 + Unknown #1 + 1,8-cineole

56.64

4

65.02

0.00

0.26

 

CP + α-pinene + 1,8-cineole

58.98

3

65.21

0.19

0.24

 

CP + 1,8-cineole

61.41

2

65.52

0.50

0.20

 

CP + Unknown #1+ 1,8-cineole

59.79

3

66.02

1.00

0.16

 

Unknown #1 + α-pinene + 1,8-cineole

61.94

3

68.17

3.15

0.05

 

α-pinene + 1,8-cineole

64.16

2

68.27

3.25

0.05

 

1,8-cineole

67.19

1

69.23

4.20

0.03

 

NULL

74.86

0

74.86

9.84

0.00

1Crude protein (%)

2Total monoterpene concentration (AUC/100 µg)

3Mean shrub height (cm)

4Monoterpenes (AUC/100 µg)

 

Table D2. Deviance, number of parameters (K), Akaike’s Information Criterion with sample size bias adjustment (AICc), change in AICc value from top model (ΔAICc), and model weight (wi) for the first stage of Greater Sage-Grouse (Centrocercus urophasianus) binary logit habitat-selection models at the habitat-type scale, south-central Idaho, USA. For the PSM category, the top seven models and the null (intercept-only) model are presented.

Predictor category

Model

Deviance

K

AICc

ΔAICc

wi

Nutrient

CP1

67.32

2

67.32

0.00

0.90

 

NULL

71.62

1

71.62

4.30

0.10

 

 

 

 

 

 

 

PSM

Total monoterpene²

48.36

2

52.59

0.00

1.00

 

1,8-cineole3

64.82

2

69.05

16.46

0.00

 

1,8-cineole + Camphene3

63.39

3

69.86

17.27

0.00

 

1,8-cineole + Unknown #73

64.12

3

70.59

18.00

0.00

 

1,8-cineole + Camphene + Unknown #7

61.99

4

70.79

18.19

0.00

 

1,8-cineole + Total phenolic4

64.82

3

71.29

18.69

0.00

 

Camphene + Unknown #7

65.11

3

71.58

18.99

0.00

1Crude protein (%)

2Total monoterpene concentration (AUC/100 μg)

3Monoterpenes (AUC/100 μg)

4Total phenolic concentration (mmol gallic acid equivalents/g dry mass)

5Mean shrub height (cm)

6Canopy cover (%)

 

Table D3. Deviance, number of parameters (K), Akaike’s Information Criterion with sample size bias adjustment (AICc), change in AICc value from top model (ΔAICc), and model weight (wi) for the first stage of binary logit Greater Sage-Grouse (Centrocercus urophasianus) habitat-selection models at the patch scale, south-central Idaho, USA. For the PSM category, the top seven models and the null (intercept-only) model are presented.

Predictor category

Model

Deviance

K

AICc

ΔAICc

wi

Nutrient

CP1

115.14

2

119.27

0.00

0.95

 

NULL

122.96

1

125.00

5.73

0.05

 

 

 

 

 

 

 

PSM

Unknown #12

119.70

2

123.84

0.00

0.21

 

Unknown #1 + 1,8-cineole2

118.03

3

124.30

0.46

0.16

 

NULL

122.96

1

125.00

1.16

0.12

 

Unknown #1 + Camphene2

118.88

3

125.15

1.31

0.11

 

1,8-cineole

121.62

2

125.76

1.92

0.08

 

Unknown #1 + Total Phenolic3

119.68

3

125.96

2.12

0.07

 

Unknown #1 + Cymene2

119.70

3

125.98

2.14

0.07

 

Camphene + Unknown #1 + 1,8-cineole

117.71

4

126.18

2.33

0.06

 

 

 

 

 

 

 

Structure

NULL

122.96

1

125.00

0.00

0.43

 

Height4

121.84

2

125.98

0.98

0.26

 

Canopy5

122.29

2

126.43

1.43

0.21

 

Height + Canopy

121.54

3

127.81

2.81

0.10

1Crude protein (%)

2Monoterpenes (AUC/100 μg)

3Total phenolic concentration (mmol gallic acid equivalents/g dry mass)

4Mean shrub height (cm)

5Canopy cover (%)

 

Table D4. Deviance, number of parameters (K), Akaike’s Information Criterion with sample size bias adjustment (AICc), change in AICc value from top model (ΔAICc), and model weight (wi) for the first stage of Greater Sage-Grouse (Centrocercus urophasianus) conditional binary logit habitat-selection models at the plant scale, south-central Idaho, USA. For the PSM category, the top seven models and the null (intercept-only) model are presented.

Predictor category

Model

Deviance

K

AICc

ΔAICc

wi

Nutrient

CP1

68.97

1

71.01

0.00

0.87

 

NULL

74.86

0

74.86

3.85

0.13

 

 

 

 

 

 

 

PSM

α-pinene2 + Unknown #12 + 1,8-cineole2 +  

        Total phenolic3

57.67

4

66.06

0.00

0.21

 

α-pinene + Unknown #1 + 1,8-cineole

61.94

3

68.17

2.11

0.07

 

α-pinene + Unknown #1 + 1,8-cineole + 

        Unknown #72 + Total phenolic

57.65

5

68.24

2.18

0.07

 

Unknown #1 + 1,8-cineole + Total phenolic

62.03

3

68.26

2.20

0.07

 

α-pinene + 1,8-cineole

64.16

2

68.27

2.21

0.07

 

α-pinene  + 1,8-cineole + Total phenolic

62.30

3

68.53

2.47

0.06

 

α-pinene  + Unknown #1 + Total phenolic

62.50

3

68.73

2.67

0.06

 

NULL

74.86

0

74.86

8.80

0.00

1Crude protein (%)

2Monoterpenes (AUC/100 μg)

3Total phenolic concentration (mmol gallic acid equivalents/g dry mass)


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