The Brownian net and selection in the Spatial $\Lambda$-Fleming-Viot process
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...
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| Format: | Journal article |
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Institute of Mathematical Statistics
2017
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| _version_ | 1797056536847056896 |
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| author | Etheridge, A Freeman, N Straulino, D |
| author_facet | Etheridge, A Freeman, N Straulino, D |
| author_sort | Etheridge, A |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T19:24:03Z |
| format | Journal article |
| id | oxford-uuid:1b1bbe49-3947-411d-a5b7-a313e41b88fd |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:24:03Z |
| publishDate | 2017 |
| publisher | Institute of Mathematical Statistics |
| record_format | dspace |
| spelling | oxford-uuid:1b1bbe49-3947-411d-a5b7-a313e41b88fd2022-03-26T10:58:32ZThe Brownian net and selection in the Spatial $\Lambda$-Fleming-Viot processJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1b1bbe49-3947-411d-a5b7-a313e41b88fdSymplectic Elements at OxfordInstitute of Mathematical Statistics2017Etheridge, AFreeman, NStraulino, DWe 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. |
| spellingShingle | Etheridge, A Freeman, N Straulino, D The Brownian net and selection in the Spatial $\Lambda$-Fleming-Viot process |
| title | The Brownian net and selection in the Spatial $\Lambda$-Fleming-Viot process |
| title_full | The Brownian net and selection in the Spatial $\Lambda$-Fleming-Viot process |
| title_fullStr | The Brownian net and selection in the Spatial $\Lambda$-Fleming-Viot process |
| title_full_unstemmed | The Brownian net and selection in the Spatial $\Lambda$-Fleming-Viot process |
| title_short | The Brownian net and selection in the Spatial $\Lambda$-Fleming-Viot process |
| title_sort | brownian net and selection in the spatial lambda fleming viot process |
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