ON SOME MODELS OF FERTILITY SELECTION

Marcus W. Feldman ¹, Freddy B. Christiansen ², and Uri Liberman ³

¹ Department of Biological Sciences, Stanford University, Stanford, California 94305
² Department of Ecology and Genetics, University of Aarhus, DK-8000 Aarhus C., Denmark
³ Department of Statistics, Tel Aviv University, Tel Aviv, Israel

Additive, multiplicative and symmetric models of fertility controlled by one diallelic gene are studied. For the completely symmetric fertility system a complete equilibrium and local stability analysis is possible. Contrary to previous conjectures, asymmetric equilibria can be stable. Conditions are derived under which a multiplicative model can be regarded as equivalent to a symmetric fertility system.

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