The Common Ancestor Process for a Wright-Fisher Diffusion
نویسندگان
چکیده
منابع مشابه
The Common Ancestor Process for a Wright-Fisher Diffusion
Rates of molecular evolution along phylogenetic trees are influenced by mutation, selection and genetic drift. Provided that the branches of the tree correspond to lineages belonging to genetically isolated populations (e.g., multi-species phylogenies), the interplay between these three processes can be described by analyzing the process of substitutions to the common ancestor of each populatio...
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Using graphical methods based on a ‘lookdown’ and pruned version of the ancestral selection graph, we obtain a representation of the type distribution of the ancestor in a two-type Wright-Fisher population with mutation and selection, conditional on the overall type frequency in the old population. This extends results from [17], now including the case of heavy-tailed offspring, directed by a r...
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Using graphical methods based on a ‘lookdown’ and pruned version of the ancestral selection graph, we obtain a representation of the type distribution of the ancestor in a two-type WrightFisher population with mutation and selection, conditional on the overall type frequency in the old population. This extends results from [15], now including the case of heavy-tailed offspring, directed by a re...
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The Wright-Fisher family of diffusion processes is a class of evolutionary models widely used in population genetics, with applications also in finance and Bayesian statistics. Simulation and inference from these diffusions is therefore of widespread interest. However, simulating a Wright-Fisher diffusion is difficult because there is no known closed-form formula for its transition function. In...
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on the interval [0, 1], where a(x) > 0 on the interior and vanishes simply at the endpoints, and b(x)∂x is a vector field which is inward-pointing at both ends. We consider various aspects of this problem, motivated by their applications in biology, including a comparison of the natural boundary conditions from the probabilistic and analytic points of view, a sharp regularity theory for the “ze...
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2007
ISSN: 1083-6489
DOI: 10.1214/ejp.v12-418