Abstract
Some recent articles in this journal (Charlesworth 1990; Iwasa et al. 1991; Taper and Case 1992; Abrams et al. 1993) have focused on the relationship between quantitative genetics (QG) and evolutionarily stable strategy (ESS) models of the evolution of continuous traits under conditions of frequency dependence, and an ESS approximation Sfor the selection differential S has been proposed. Here I recall a formula of Lande and Arnold (1983) for S which holds in normally distributed population and which illuminates the relationship between the two models, and I extend it to the case in which fitness depends also on the average behavior of a local interaction group (equation 12). I calculate S and Sfor a number of standard fitness functions, and verify the results of Wilson and Dugatkin (in press) on kin selection and assortative interactions. Let x denote the value of the continuous trait, and assume it is distributed with mean x; and variance V. In what I will call the non-structured model of frequency-dependence, individual fitness is assumed to depend both on x and x':
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
