Regular ArticleSex Ratio in a Stepping-Stone Population with Sex-Specific Dispersal
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Dispersal evolution and resource matching in a spatially and temporally variable environment
2015, Journal of Theoretical BiologyEvolutionary and convergence stability for continuous phenotypes in finite populations derived from two-allele models
2012, Journal of Theoretical BiologyCitation Excerpt :The concept of evolutionary stability (Maynard-Smith, 1982; Eshel, 1983) is born out of the aim of characterizing long-term phenotypic evolution directly from payoff functions, devoid of the intricacies of population genetics considerations. The strength of the concept of evolutionary stability has been forcefully revealed when analyzing the evolution of continuously varying phenotypes, where it has been applied to investigate the evolution of many of different traits, from the sex-ratio in spatially structured populations, to body size in prey–predator systems, to the evolution of other-regarding preferences (e.g., Parker and Maynard Smith, 1990; Bulmer, 1994; Taylor, 1994; Geritz et al., 1998; Vincent and Brown, 2005; Dercole and Rinaldi, 2008; Leimar, 2009; Akçay and Van Cleve, 2012). Although much attention has been paid to theoretical aspects of selection in finite population with and without frequency-dependent selection (e.g., Wright, 1931; Crow and Kimura, 1970; Gandon and Rousset, 1999; Ewens, 2004; Rousset and Ronce, 2004; Otto and Day, 2007; Lessard, 2005; Lessard and Ladret, 2007; Tarnita et al., 2009; Ohtsuki, 2010), there are few studies (Rousset and Billiard, 2000; Rousset, 2004) addressing the theoretical question of the stability of continuous phenotypes in finite populations (for discrete strategies, see Nowak et al., 2004; Wild and Taylor, 2004; Lessard, 2005).
Sex ratio dependent dispersal when sex ratios vary between patches
2011, Journal of Theoretical BiologyCitation Excerpt :This may lead one to conclude that males will not evolve to disperse more from patches with higher sex ratios. However, Wild and Taylor’s (2004) finding is, in part, an artefact of a simplifying assumption that most analytical sex ratio models make, namely, that sex ratios are precise (Motro, 1982; Frank, 1986; Taylor, 1988, 1994; Gandon and Michalakis, 2001; Leturque and Rousett, 2003; Ronce, 2007; but see Green et al., 1982; Griffiths and Godfray, 1988; Nagelkerke, 1996). Hence, a male finding himself in a patch with a high sex ratio will encounter the exact same sex ratio in all other patches because sex ratios are invariable.
Sexual conflict in viscous populations: The effect of the timing of dispersal
2011, Theoretical Population BiologyA spatially explicit model of sex ratio evolution in response to sex-biased dispersal
2011, Theoretical Population BiologyCitation Excerpt :With fixed dispersal ranges, the sex ratio is biased towards the sex that is closer to its dispersal optimum (Leturque and Rousset, 2004), here the sex that disperses the furthest. An expected difference between the DDM and DMD model is that male and female dispersal play symmetric roles in the former model, but not in the latter (Taylor, 1994b). In the DMD model, genes transmitted through males go through one more step of dispersal than genes transmitted through females.
Sex allocation and dispersal in a heterogeneous two-patch environment
2006, Theoretical Population Biology