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A Duality Approach to the Genealogies of Discrete Nonneutral Wright-Fisher Models
Author
Source
Journal of Probability and Statistics
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-02-15
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
Discrete ancestral problems arising in population genetics are investigated.
In the neutral case, the duality concept has been proved of particular interest in the understanding of backward in time ancestral process from the forward in time branching population dynamics.
We show that duality formulae still are of great use when considering discrete nonneutral Wright-Fisher models.
This concerns a large class of nonneutral models with completely monotone (CM) bias probabilities.
We show that most classical bias probabilities used in the genetics literature fall within this CM class or are amenable to it through some “reciprocal mechanism” which we define.
Next, using elementary algebra on CM functions, some suggested novel evolutionary mechanisms of potential interest are introduced and discussed.
American Psychological Association (APA)
Huillet, Thierry E.. 2009. A Duality Approach to the Genealogies of Discrete Nonneutral Wright-Fisher Models. Journal of Probability and Statistics،Vol. 2009, no. 2009, pp.1-22.
https://search.emarefa.net/detail/BIM-492731
Modern Language Association (MLA)
Huillet, Thierry E.. A Duality Approach to the Genealogies of Discrete Nonneutral Wright-Fisher Models. Journal of Probability and Statistics No. 2009 (2009), pp.1-22.
https://search.emarefa.net/detail/BIM-492731
American Medical Association (AMA)
Huillet, Thierry E.. A Duality Approach to the Genealogies of Discrete Nonneutral Wright-Fisher Models. Journal of Probability and Statistics. 2009. Vol. 2009, no. 2009, pp.1-22.
https://search.emarefa.net/detail/BIM-492731
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-492731