Table 1 Model selection of the two models based on likelihood ratio tests.

From: Habitat use of urban-nesting lesser black-backed gulls during the breeding season

Model

Fixed terms

Random terms

Test

AIC

AICc

BIC

logLik

deviance

Chisq

df

p

1

1a

Habitat + Habitat * Phase

  

8,465

8,473

8,726

−4,176

8,353

   

1b

Habitat + Habitat * Phase

Habitat/ID

1a vs 1b

5,738

5,759

6,130

−2,785

5,570

2,782

28

<0.001

1c

 

Habitat/ID

 

7,851

7,854

7,987

−3,897

7,793

   

1d

Habitat

Habitat/ID

1c vs 1d

7,769

7,799

7,959

−3,863

7,726

67

6

<0.001

1e

Habitat + Habitat * Phase

Habitat/ID

1d vs 1e

5,738

5,759

6,130

−2,785

5,570

2,156

49

<0.001

2

2a

Behaviour * Habitat + Behaviour *Phase + Behaviour * Phase * Habitat

Behaviour/ID

 

12,745

12,772

13,706

−6,205

12,409

   

2b

Behaviour * Habitat + Behaviour *Phase + Behaviour * Phase * Habitat

Behaviour/ID

2a vs 2b

12,498

12,527

13,493

−6,075

12,150

259

6

<0.001

2c

 

Behaviour/ID

 

81,124

81,083

81,164

−40,555

81,110

   

2d

Behaviour

Behaviour/ID

 

81,083

81,124

81,134

−40,532

81,065

46

2

<0.001

2e

Behaviour * Habitat

Behaviour/ID

2c vs 2d

80,272

80,273

80,444

−40,106

80,212

852

21

<0.001

2f

Behaviour * Habitat + Behaviour * Phase

Behaviour/ID

2d vs 2e

14,439

14,441

14,713

−7,172

14,343

65,869

18

<0.001

2g

Behaviour * Habitat + Behaviour *Phase + Behaviour * Phase * Habitat

Behaviour/ID

2e vs 2f

12,498

12,527

13,493

−6,075

12,150

2,193

126

<0.001

  1. First the random terms were selected keeping fixed terms the same, and secondly the fixed terms were defined with the best selection of random terms. The model highlighted in bold is the final ‘best’ fit model for that analysis (1e and 2g respectively). Both models resulted in a GLMM model with a random slope. Stage = breeding stage, AIC = Akaike information criterion, AICc = corrected Akaike’s information criterium, BIC = Bayesian information criterion, logLik = log-likelihood ratio statistic, Chisq = Chi-square statistic, df = degrees of freedom. The significance level was set at α = 0.05.