Long-term evolution of multilocus traits |
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Authors: | Carlo Matessi Cristina Di Pasquale |
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Institution: | (1) Istituto di Genetica Biochimica ed Evoluzionistica, Consiglio Nazionale delle Ricerche, via Abbiategrasso 207, I-27100 Pavia, Italy E-mail: matessi@ipvgbe.igbe.pv.cnr.it, IT;(2) Departamento de Matemática, Centro Regional Universitario Bariloche, Universidad Nacional del Comahue, 8400 San Carlos de Bariloche, Argentina, AR |
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Abstract: | We analyze monomorphic equilibria of long-term evolution for one or two continuous traits, controlled by an arbitrary number
of autosomal loci and subject to constant viability selection. It turns out that fitness maximization always obtains at long
term equilibria, but in the case of two traits, linkage determines the precise nature of the fitness measure that is maximized.
We then consider local convergence to long term equilibria, for two multilocus traits subject to either constant or frequency
dependent selection. From a model of long-term dynamics near an equilibrium we derive a criterion of local long-term stability
for 2-dimensional equilibria. It turns out that mutation can be a decisive factor for stability.
Received 26 January 1994; received in revised form 26 September 1994 |
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Keywords: | : Optimality Asymmetric conflicts Adaptive dynamics Continuous stability Evolutionary stability |
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