A Moran process, named after Patrick Moran, is a stochastic process used in biology to describe finite populations. It can be used to model non-deterministic processes such as neutral drift as well as deterministic effects such as selection. The process can describe the probabilistic dynamics in a finite population of constant size N in which two alleles A and B are competing for dominance. The two alleles are considered to be true replicators (i.e. entities that make copies of themselves).

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  • A Moran process, named after Patrick Moran, is a stochastic process used in biology to describe finite populations. It can be used to model non-deterministic processes such as neutral drift as well as deterministic effects such as selection. The process can describe the probabilistic dynamics in a finite population of constant size N in which two alleles A and B are competing for dominance. The two alleles are considered to be true replicators (i.e. entities that make copies of themselves). In each time step a random individual (which is of either type A or B) is chosen for reproduction and a random individual is chosen for death; thus ensuring that the population size remains constant. To model selection, one type has to have a higher fitness and is thus more likely to be chosen for reproduction. The same individual can be chosen for death and for reproduction in the same step.
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  • A Moran process, named after Patrick Moran, is a stochastic process used in biology to describe finite populations. It can be used to model non-deterministic processes such as neutral drift as well as deterministic effects such as selection. The process can describe the probabilistic dynamics in a finite population of constant size N in which two alleles A and B are competing for dominance. The two alleles are considered to be true replicators (i.e. entities that make copies of themselves).
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  • Moran process
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