Evol Ecol Res 3: 721-727 (2001) Full PDF if your library subscribes.
Long-term adaptive diversity in Levene-type models
Department of Mathematics, University of Turku, FIN-20014 Turku, Finland and Department of Genetics, Eötvös University, Múzeum krt. 4/A, H-1088 Budapest, Hungary
Address all correspondence to Éva Kisdi, Department of Mathematics, University of Turku, FIN-20014 Turku, Finland.
Assuming a linear trade-off function between the habitat-specific fitness values in Levene’s model, De Meeûs and Goudet found that an evolutionarily stable strategy always exists and that polymorphism cannot be maintained on an evolutionary time-scale. On the other hand, Kisdi and Geritz showed that, in a broad parameter region, evolution necessarily leads to polymorphism in a Levene-type model with stabilizing selection within each habitat. Here I reconcile these results by demonstrating that the convexity of the trade-off function plays an essential role in the evolution of polymorphism.
Keywords: adaptive dynamics, co-existence, evolutionarily stable strategy, evolutionary branching, heterogeneous environment, polymorphism, soft selection, trade-off.
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