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An Evolutionary Model that Satisfies Detailed Balance - Methodology and Computing in Applied Probability
We propose a class of evolution models that involves an arbitrary exchangeable process as the breeding process and different selection schemes. In those mo
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An Evolutionary Model that Satisfies Detailed Balance - Methodology and Computing in Applied Probability
https://link.springer.com/article/10.1007/s11009-020-09835-5
We propose a class of evolution models that involves an arbitrary exchangeable process as the breeding process and different selection schemes. In those mo
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An Evolutionary Model that Satisfies Detailed Balance - Methodology and Computing in Applied Probability
We propose a class of evolution models that involves an arbitrary exchangeable process as the breeding process and different selection schemes. In those mo
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- og:descriptionWe propose a class of evolution models that involves an arbitrary exchangeable process as the breeding process and different selection schemes. In those models, a new genome is born according to the breeding process, and after that a genome is removed according to the selection scheme that involves fitness. Thus, the population size remains constant. The process evolves according to a Markov chain, and, unlike in many other existing models, the stationary distribution – so called mutation-selection equilibrium – can easily found and studied. As a special case our model contains a (sub) class of Moran models. The behaviour of the stationary distribution when the population size increases is our main object of interest. Several phase-transition theorems are proved.
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84- http://arxiv.org/abs/1402.2704
- http://scholar.google.com/scholar_lookup?&title=A%20coalescent%20dual%20process%20in%20a%20Moran%20model%20with%20genic%20selection&journal=Theor%20Popul%20Biol&doi=10.1016%2Fj.tpb.2009.03.004&volume=75&issue=4&pages=320-330&publication_year=2009&author=Etheridge%2CAM&author=Griffiths%2CRC
- http://scholar.google.com/scholar_lookup?&title=An%20alternative%20derivation%20of%20the%20stationary%20distribution%20of%20the%20multivariate%20neutral%20Wright%E2%80%93Fisher%20model%20for%20low%20mutation%20rates%20with%20a%20view%20to%20mutation%20rate%20estimation%20from%20site%20frequency%20data&journal=Theor%20Popul%20Biol&doi=10.1016%2Fj.tpb.2016.12.001&volume=114&pages=88-94&publication_year=2017&author=Schrempf%2CD&author=Hobolth%2CA
- http://scholar.google.com/scholar_lookup?&title=Factor%20graphs%20and%20the%20sum-product%20algorithm&journal=IEEE%20Trans%20Inf%20Theory&doi=10.1109%2F18.910572&volume=47&issue=2&pages=498-519&publication_year=2001&author=Kschischang%2CFR&author=Frey%2CBJ&author=Loeliger%2CH-A
- http://scholar.google.com/scholar_lookup?&title=Modeling%20multiallelic%20selection%20using%20a%20Moran%20model&journal=Genetics&doi=10.1534%2Fgenetics.108.089474&volume=182&issue=4&pages=1141-1157&publication_year=2009&author=Muirhead%2CCA&author=Wakeley%2CJ