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Table 3 A summary of our best-supported models (ΔAICc < 6.0) and null models of Bewick’s Swan behavioural activities and net energy gain (NEG)

From: Behavioural and energetic consequences of competition among three overwintering swan (Cygnus spp.) species

Variable

Model

k

AICc

ΔAICc

RL

wi

ER

R2m

R2c

Aggression

1 + A + C + (A:C) + (1|U)

5

2707.16

0.00

1.00

0.655

1.00

0.012

0.837

 

1 + A + B + C + (A:C) + (1|U)

6

2708.44

1.28

0.53

0.345

1.90

0.035

0.845

 

1 + (1|U)

2

2726.01

18.85

0.00

0.000

12,406.39

0.000

0.824

Foraging

1 + A + B + C + (A:C) + (1|U)

7

8101.00

0.00

1.00

0.354

1.00

0.131

0.590

 

1 + A + B + C

6

8101.85

0.84

0.66

0.232

1.52

0.130

0.590

 

1 + A + B + C + (A:C) + (B:C) + (1|U)

8

8103.04

2.04

0.36

0.128

2.77

0.128

0.588

 

1 + A + C + (A:C) + (1|U)

6

8103.26

2.25

0.32

0.115

3.08

0.044

0.578

 

1 + A + B + C + (B:C) + (1|U)

7

8103.89

2.88

0.24

0.084

4.23

0.127

0.589

 

1 + A + C + (1|U)

5

8104.20

3.20

0.20

0.071

4.95

0.043

0.579

 

1 + (1|U)

3

8177.10

76.10

0.00

0.000

3.34 × 1016

0.000

0.593

Vigilance

1 + A + B + C + (B:C) + (1|U)

7

6845.36

0.00

1.00

0.370

1.00

0.073

0.595

 

1 + A + B + C + (A:C) + (B:C) + (1|U)

8

6845.79

0.43

0.81

0.298

1.24

0.073

0.597

 

1 + A + C + (1|U)

5

6848.52

3.16

0.21

0.076

4.84

0.025

0.622

 

1 + A + B + C + (1|U)

6

6848.71

3.35

0.19

0.069

5.33

0.067

0.627

 

1 + A + C + (A:C) + (1|U)

6

6848.88

3.52

0.17

0.064

5.81

0.025

0.623

 

1 + A + B + C + (A:C) + (1|U)

7

6849.15

3.79

0.15

0.056

6.65

0.067

0.629

 

1 + A

4

6849.69

4.33

0.12

0.043

8.69

0.007

0.635

 

1 + A + B + (1|U)

5

6850.88

5.51

0.06

0.024

15.75

0.031

0.638

 

1 + (1|U)

3

6901.17

55.81

0.00

0.000

1.32 × 1012

0.000

0.623

NEG

1 + A + C + (1|U)

5

4292.69

0.00

1.00

0.165

1.00

0.013

0.538

 

1 + A + (1|U)

4

4292.94

0.24

0.89

0.147

1.13

0.000

0.547

 

1 + C + (1|U)

4

4293.06

0.37

0.83

0.137

1.20

0.012

0.536

 

1 + (1|U)

3

4293.41

0.72

0.70

0.115

1.43

0.000

0.546

 

1 + A + B + C + (1|U)

6

4293.93

1.24

0.54

0.089

1.86

0.030

0.540

 

1 + B + C + (1|U)

5

4294.29

1.59

0.45

0.075

2.22

0.030

0.538

 

1 + A + B + (1|U)

5

4294.67

1.97

0.37

0.062

2.68

0.009

0.549

 

1 + A + C + (A:C) + (1|U)

6

4294.75

2.06

0.36

0.059

2.80

0.013

0.538

 

1 + B + (1|U)

4

4295.14

2.45

0.29

0.049

3.40

0.008

0.547

 

1 + A + B + C + (B:C) + (1|U)

7

4295.98

3.28

0.19

0.032

5.17

0.032

0.541

 

1 + A + B + C + (A:C) + (1|U)

7

4296.00

3.30

0.19

0.032

5.22

0.030

0.540

 

1 + B + C + (B:C) + (1|U)

6

4296.32

3.62

0.16

0.027

6.12

0.031

0.539

 

1 + A + B + C + (A:C) + (B:C) + (1|U)

8

4298.06

5.36

0.07

0.011

14.61

0.032

0.541

  1. For each behaviour the best-supported model is indicated in bold. k represents the number of parameters in the model. R2m and R2c indicate the proportions of variance explained by the fixed effects alone and both the fixed and random effects, respectively. RL, wi, and ER represent the relative likelihood, Akaike weight, and evidence ratio, respectively. Model parameters: intercept (1), density of Bewick’s Swans sharing feeding habitat with the focal individual (B), density of Mute and Whooper Swans sharing feeding habitat with the focal individual (C), age class of the focal individual (A), and observation identity (U). The symbols + and: represented additive and interactive effects, respectively, within models