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SuperBrownian motion and the spatial Lambda-Fleming-Viot process

Abstract:

It is well known that the dynamics of a subpopulation of individuals of a rare type in a Wright-Fisher diffusion can be approximated by a Feller branching process. Here we establish an analogue of that result for a spatially distributed population whose dynamics are described by a spatial Lambda-Fleming-Viot process (SLFV). The subpopulation of rare individuals is then approximated by a superBrownian motion. This result mirrors [10], where it is shown that when suitably rescaled, sparse voter...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1214/18-EJP191

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Statistics; Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Magdalen College
Role:
Author
More from this funder
Name:
Engineering and Physical Sciences Research Council
Funding agency for:
Chetwynd-Diggle, J
Grant:
EP/L015811/1
Publisher:
Institute of Mathematical Statistics
Journal:
Electronic Journal of Probability More from this journal
Volume:
23
Pages:
71
Publication date:
2018-07-26
Acceptance date:
2018-06-25
DOI:
ISSN:
1083-6489
Keywords:
Pubs id:
pubs:859240
UUID:
uuid:cebd330f-e697-4b22-903b-9c7b60d5f186
Local pid:
pubs:859240
Source identifiers:
859240
Deposit date:
2018-06-25

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