On Discrete-Time Multiallelic Evolutionary Dynamics Driven by Selection

Thierry E. Huillet

Journal of Probability and Statistics, 2010, vol. 2010, 1-27

Abstract:

We revisit some problems arising in the context of multiallelic discrete-time evolutionary dynamics driven by fitness. We consider both the deterministic and the stochastic setups and for the latter both the Wright-Fisher and the Moran approaches. In the deterministic formulation, we construct a Markov process whose Master equation identifies with the nonlinear deterministic evolutionary equation. Then, we draw the attention on a class of fitness matrices that plays some role in the important matter of polymorphism: the class of strictly ultrametric fitness matrices. In the random cases, we focus on fixation probabilities, on various conditionings on nonfixation, and on (quasi)stationary distributions.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljps:580762

DOI: 10.1155/2010/580762

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