Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

Duality and fixation in Ξ-Wright-Fisher processes with frequency-dependent selection

Tools
- Tools
+ Tools

González Casanova, Adrián and Spanò, Dario (2018) Duality and fixation in Ξ-Wright-Fisher processes with frequency-dependent selection. Annals of Applied Probability, 28 (1). pp. 250-284. doi:10.1214/17-AAP1305

[img]
Preview
PDF
WRAP-duality-fixation-processes-selection-Spano-2017.pdf - Accepted Version - Requires a PDF viewer.

Download (709Kb) | Preview
Official URL: http://doi.org/10.1214/17-AAP1305

Request Changes to record.

Abstract

A two-types, discrete-time population model with finite, constant size is constructed, allowing for a general form of frequency-dependent selection and skewed offspring distribution. Selection is defined based on the idea that individuals first choose a (random) number of \emph{potential} parents from the previous generation and then, from the selected pool, they inherit the type of the fittest parent. The probability distribution function of the number of potential parents per individual thus parametrises entirely the selection mechanism. Using sampling- and moment-duality, weak convergence is then proved both for the allele frequency process of the selectively weak type and for the population's ancestral process. The scaling limits are, respectively, a two-types $\Xi$-Fleming-Viot jump-diffusion process with frequency-dependent selection, and a branching-coalescing process with general branching and simultaneous multiple collisions. Duality also leads to a characterisation of the probability of extinction of the selectively weak allele, in terms of the ancestral process' ergodic properties.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH): Branching processes, Stochastic processes, Markov processes, Diffusion processes
Journal or Publication Title: Annals of Applied Probability
Publisher: Institute of Mathematical Statistics
ISSN: 1050-5164
Official Date: 3 March 2018
Dates:
DateEvent
3 March 2018Available
21 April 2017Accepted
Volume: 28
Number: 1
Page Range: pp. 250-284
DOI: 10.1214/17-AAP1305
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
Priority Programme 1590Deutsche Forschungsgemeinschafthttp://dx.doi.org/10.13039/501100001659
Related URLs:
  • Publisher

Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics

twitter

Email us: wrap@warwick.ac.uk
Contact Details
About Us