Ecological Archives E096258A6
Sophie Lardy, Dominique Allainé, Christophe Bonenfant, and Aurélie Cohas. 2015. Sexspecific determinants of fitness in a social mammal. Ecology 96:2947–2959. http://dx.doi.org/10.1890/150425.1
Appendix F. Statistical models used to investigate the impact of group size, group composition and group instability on fitness components and on fitness.
Table F1. Models to test for an effect of average group size (a) and of group composition and group instability (b) on the lifetime reproductive success (LRS) and individual lambda (λi) of dominant male and female Alpine marmots.



Statistical model 
Errors 
Link function 
Model terms tested 

LRS 
Generalized linear model 
Neg. Bin. 
Log 
Average group size* 

λ_{i } 
Generalized linear model 
Neg. Bin. 
Log 
Average group size* 

*Quadratic effects have been tested 










Statistical model 
Errors 
Link function 
Model terms tested 

LRS 
Generalized linear model 
Neg. Bin. 
Log 
Average number of males* 





Average number. of females* 





Average number males*females 





Average number of partner changes 

λ_{i} 
Generalized linear model 
Neg. Bin. 
Log 
Average number of males* 





Average number of females* 





Average number of males × females 





Average number of partner changes 
*Quadratic effects have been tested. Abbreviations: Neg. Bin. : Negative binomial
Table F2. Models used to test for an effect of average group size (a) and of group composition and group instability (b) on the fitness components of dominant male and female Alpine marmots.
a) Effect of group size
Fitness components 
Statistical model 
Errors 
Link function 
Model terms tested 
Dominance tenure 
Generalized linear model 
Neg. Bin. 
Log 
Average group size* 
Breeding rate 
Generalized linear model 
Binomial 
Logit 
Average group size* 
Average number of pups 
Generalized linear model 
Normal 
Gaussian 
Average group size* 
Offspring survival 
Generalized linear model 
Binomial 
Logit 
Average group size* 
*Quadratic effects have been tested

b) Effect of group composition and instability 

Fitness components 
Statistical model 
Errors 
Link function 
Model terms tested 

Dominance tenure 
Generalized linear model 
Neg. Bin. 
Log 
Average number of males* 





Average number of females* 





Average number of males × females 





Average number of partner changes 

Breeding rate 
Generalized linear model 
Binomial 
Logit 
Average number of males* 





Average number of females* 





Average number of males × females 





Average number of partner changes 

Average number of pups 
Generalized linear model 
Normal 
Gaussian 
Average number of males* 





Average number of females* 





Average number of partner changes 

Offspring survival 
Generalized linear model 
Binomial 
Logit 
Average number of males 





Average number of females 





Average number of males × females 





Average number of partner changes 
*Quadratic effects have been tested. Abbreviations: Neg. Bin. : Negative binomial, Av. nb. : Average number