*Ecological Archives* E096-258-A4

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 D. Comparison of LRS and individual lambda estimations with and without considering subordinate reproduction.

The fact to consider or not the reproduction before dominance did not impact the average LRS or the variance of the LRS in our population of Alpine marmot.

In males, the LRS ranged between 0 and 20 and had a median of 4 whether we considered the reproduction before dominance or not. The average male LRS did not differ if we considered the reproduction before dominance (with reproduction of subordinates: 5.33, without reproduction before dominance: 5.16, *t* = -0.20, df = 111.98, P=0.84); and the measure of the LRS excluding subordinate reproduction highly correlates with the measure of the LRS including subordinate reproduction (*t* = 43.18, df = 55, *P* < 0.001, *r* = 0.98). Similarly, the variance of male LRS did not differ if we considered the reproduction before dominance (with reproduction of subordinates: 22.58, without reproduction before dominance: 22.03, *F* = 0.97, df = 56, P=0.93).

In females, the LRS ranged between 0 and 20 and had a median of 5 whether we considered the reproduction before dominance or not. The average female LRS did not differ if we considered the reproduction before dominance (with reproduction of subordinates: 6.62, without reproduction before dominance: 6.59, *t* = -0.02, df = 82, P=0.98); and the measure of the LRS excluding subordinate reproduction highly correlates with the measure of the LRS including subordinate reproduction (*t* = 213.44, df = 40, *P* < 0.001, *r* = 0.99). Similarly, the variance of female LRS did not differ if we considered the reproduction before dominance (with reproduction of subordinates: 26.97, without reproduction before dominance: 27.07, *F* = 1.00, df = 41, P=0.99).

Similarly, the fact to consider or not the reproduction before dominance did not impact the average individual lambda nor its variance in our population of Alpine marmot.

In males, λi ranged between 0 and 1.48 and had a median of 1.13 and 1.11 whether we considered the reproduction before dominance or not. The average male λi did not differ if we considered the reproduction before dominance (with reproduction of subordinates: 0.91, without reproduction before dominance: 0.90, *t* = -0.07, df = 119.99, P=0.95); and the measure of λi excluding subordinate reproduction highly correlates with its measure including subordinate reproduction (*t* = 97.17, df = 59, *P* < 0.001, *r* = 0.99). Similarly, the variance of male λi did not differ if we considered the reproduction before dominance (with reproduction of subordinates: 0.27, without reproduction before dominance: 0.26, *F* = 0.99, df = 60, P=0.97).

In females, λi ranged between 0 and 1.45 and had a median of 1.16 whether we considered the reproduction before dominance or not. The average female λi did not differ if we considered the reproduction before dominance (with reproduction of subordinates: 0.98, without reproduction before dominance: 0.98, *t* = -0.05, df = 83.99, P=0.96) and the measure of λi excluding subordinate reproduction highly correlates with its measure including subordinate reproduction (*t* = 90.18, df = 41, *P* < 0.001, *r* = 0.99). Similarly, the variance of female λi did not differ if we considered the reproduction before dominance (with reproduction of subordinates: 0.21, without reproduction before dominance: 0.21, *F* = 0.98, df = 42, P=0.96).