The neutral two-locus model as a measure-valued diffusion

The neutral two-locus model as a measure-valued diffusion

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Article ID: iaor19921856
Country: United Kingdom
Volume: 22
Issue: 4
Start Page Number: 773
End Page Number: 786
Publication Date: Dec 1990
Journal: Advances in Applied Probability
Authors: ,
Keywords: genetics
Abstract:

The neutral two-locus model in population genetics is reformulated as a measure-valued diffusion process and is shown under certain conditions to have a unique stationary distribution and be weakly ergodic. The limits of the process and its stationary distribution as the recombination parameter tends to infinity are found. Genealogies are incorporated into the model, and it is shown that a random sample of size n from the population at stationarity has a common ancestor.

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