Journal article
The Brownian net and selection in the Spatial $\Lambda$-Fleming-Viot process
- Abstract:
- We obtain the Brownian net of Sun and Swart (2008) as the scaling limit of the paths traced out by a system of continuous (one-dimensional) space and time branching and coalescing random walks. This demonstrates a certain universality of the net, which we have not seen explored elsewhere. The walks themselves arise in a natural way as the ancestral lineages relating individuals in a sample from a biological population evolving according to the spatial Lambda-Fleming-Viot process. Our scaling reveals the effect, in dimension one, of spatial structure on the spread of a selectively advantageous gene through such a population.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 448.3KB, Terms of use)
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- Publisher copy:
- 10.1214/17-EJP61
Authors
+ Engineering and Physical Sciences Research Council
More from this funder
- Funding agency for:
- Etheridge, A
- Grant:
- EP/I01361X/1
- Publisher:
- Institute of Mathematical Statistics
- Journal:
- Electronic Journal of Probability More from this journal
- Volume:
- 22
- Article number:
- 39
- Publication date:
- 2017-04-28
- Acceptance date:
- 2017-04-23
- DOI:
- ISSN:
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1083-6489
- Keywords:
- Pubs id:
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pubs:691017
- UUID:
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uuid:1b1bbe49-3947-411d-a5b7-a313e41b88fd
- Local pid:
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pubs:691017
- Source identifiers:
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691017
- Deposit date:
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2017-04-24
Terms of use
- Copyright holder:
- Etheridge et al
- Copyright date:
- 2017
- Notes:
- This article has been made available under a Creative Commons Attribution 4.0 International License.
- Licence:
- CC Attribution (CC BY)
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