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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Hindawi Limited
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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doaj-d727b4b3a03646ab973ed08409e5c4f42020-11-25T01:34:35ZengHindawi LimitedJournal 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Thierry E. Huillet |
| spellingShingle |
Thierry E. Huillet On Discrete-Time Multiallelic Evolutionary Dynamics Driven by Selection Journal of Probability and Statistics |
| author_facet |
Thierry E. Huillet |
| author_sort |
Thierry E. Huillet |
| title |
On Discrete-Time Multiallelic Evolutionary Dynamics Driven by Selection |
| title_short |
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_sort |
on discrete-time multiallelic evolutionary dynamics driven by selection |
| publisher |
Hindawi Limited |
| series |
Journal of Probability and Statistics |
| issn |
1687-952X 1687-9538 |
| publishDate |
2010-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2010/580762 |
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AT thierryehuillet ondiscretetimemultiallelicevolutionarydynamicsdrivenbyselection |
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