Ecological Archives E096-258-A6

Ecological Archives E096-258-A6

Sophie Lardy, Dominique Allainé, Christophe Bonenfant, and Aurélie Cohas. 2015. Sex-specific determinants of fitness in a social mammal. Ecology 96:2947–2959. http://dx.doi.org/10.1890/15-0425.1

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.

a) Effect of group size
	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

b) Effect of group composition and instability
	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

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