On Discrete-Time Multiallelic Evolutionary Dynamics Driven by Selection
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 Mar...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2010/580762 |
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| _version_ | 1832563806600953856 |
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| author | Thierry E. Huillet |
| author_facet | Thierry E. Huillet |
| author_sort | Thierry E. Huillet |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d727b4b3a03646ab973ed08409e5c4f4 |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-d727b4b3a03646ab973ed08409e5c4f42025-02-03T01:12:31ZengWileyJournal of Probability and Statistics1687-952X1687-95382010-01-01201010.1155/2010/580762580762On Discrete-Time Multiallelic Evolutionary Dynamics Driven by SelectionThierry E. Huillet0Laboratoire de Physique Théorique et Modélisation, CNRS-UMR 8089 et Université de Cergy-Pontoise, 2 Avenue Adolphe Chauvin, 95302 Cergy-Pontoise, FranceWe 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.http://dx.doi.org/10.1155/2010/580762 |
| spellingShingle | Thierry E. Huillet On Discrete-Time Multiallelic Evolutionary Dynamics Driven by Selection Journal of Probability and Statistics |
| title | On Discrete-Time Multiallelic Evolutionary Dynamics Driven by Selection |
| title_full | On Discrete-Time Multiallelic Evolutionary Dynamics Driven by Selection |
| title_fullStr | On Discrete-Time Multiallelic Evolutionary Dynamics Driven by Selection |
| title_full_unstemmed | On Discrete-Time Multiallelic Evolutionary Dynamics Driven by Selection |
| title_short | On Discrete-Time Multiallelic Evolutionary Dynamics Driven by Selection |
| title_sort | on discrete time multiallelic evolutionary dynamics driven by selection |
| url | http://dx.doi.org/10.1155/2010/580762 |
| work_keys_str_mv | AT thierryehuillet ondiscretetimemultiallelicevolutionarydynamicsdrivenbyselection |