On the Relationship between Quantitative Genetic and Ess Models

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Two recent articles in this journal have discussed the relationship between quantitative genetic models and evolutionarily stable strategy (ESS) models of the evolution of continuous traits. Charlesworth (1990) compared the equilibrium conditions produced by the two approaches, and concluded that these were approximately the same, provided that, "the functional relationship between fitness and (the characters) is not too strongly curvilinear, and the phenotypic variances of (the characters) are sufficiently small" (Charlesworth 1990, p. 523). More recently, Taper and Case (1992) examined quantitative genetic and ESS models of the evolution of competitors. They reached essentially the same conclusion about equilibrium conditions. However, they also pointed out that dynamics of the quantitative genetic model could be approximated by a simpler (ESS) model, provided selection was weak and the phenotypic variance was sufficiently small. A similar result was shown in the appendix of Iwasa et al. (1991). The quantitative genetic and ESS models of trait dynamics, which Taper and Case ( 1992) compared, both predict the change in the mean of character over one generation:

収録刊行物

  • Evolution

    Evolution 47 982-, 1993-06-01

    Oxford University Press (OUP)

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