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Table 1 Worthless gifts in natural populations: ecological and individual effects. Ranked (based on AICc) candidate models with combinations of the fixed effects of ecological (prey number = “Prey”, population = “Pop”) and individual (males and female sizes respectively “Mal size” and “Fem size”) variables on the probability of males producing worthless gifts. All models included the dates generated from a combination of month and year (2015 and 2016) as random effects. Significant p values are in bold. Data in bold indicate the two simplest and most parsimonious models

From: Stressful environments favor deceptive alternative mating tactics to become dominant

No

Fixed effects

k

AICc

ΔAICc

Weight

Log- likelihoods

Cumulative weight

1

Pop

3

45.164

0.4848

 − 18.0819

0.485

2

Pop + Prey

4

46.446

1.282

0.2554

 − 16.3657

0.740

3

Pop + Fem size

4

48.053

2.889

0.1143

 − 17.1694

0.854

4

Pop + Mal size

4

49.848

4.684

0.0466

 − 18.0669

0.901

5

Pop + Mal size + Fem size

5

50.345

5.181

0.0363

 − 15.1725

0.937

6

Pop + Prey + Mal size

5

52.329

7.166

0.0135

 − 16.1647

0.951

7

Pop + Prey + (Pop × Prey)

5

52.594

7.430

0.0118

 − 16.2969

0.963

8

Pop + Prey + Fem size

5

52.648

7.484

0.0115

 − 16.3240

0.974

9

Pop + Fem size + . (Pop × Fem size)

5

53.978

8.814

0.0059

 − 16.9891

0.980

10

Mal size + Fem size + (Mal size × Fem size)

5

53.994

8.830

0.0059

 − 16.9968

0.986

11

Prey + Fem size

4

54.392

9.228

0.0048

 − 20.3390

0.991

12

Prey + Mal size

4

55.501

10.337

0.0028

 − 20.8932

0.994

13

Pop + Mal size + (Pop × Mal size)

5

55.732

10.568

0.0025

 − 17.8660

0.996

14

Fem size

3

56.675

11.512

0.0015

 − 23.8377

0.998

15

Prey + Mal size + (Prey × Mal size)

5

57.970

12.806

0.0008

 − 18.9851

0.998

16

Prey + Fem size + (Prey × Fem size)

5

58.394

13.231

0.0006

 − 19.1972

0.999

17

Pop + Prey + Mal size + Fem size

6

58.801

13.637

0.0005

 − 15.0006

1.000

18

Prey + Mal size + Fem size

5

60.437

15.273

0.0002

 − 20.2185

1.000

19

Mal size + Fem size

4

60.519

15.355

0.0002

 − 23.4025

1.000

20

Mal size

3

64.442

19.278

0.0000

 − 27.7208

1.000

21

Prey

3

75.821

30.657

0.0000

 − 33.4106

1.000

22

Null

2

90.633

45.469

0.0000

 − 42.6499

1.000