%0 Generic %1 etheridge2015brownian %A Etheridge, Alison %A Freeman, Nic %A Straulino, Daniel %D 2015 %K Brownian_net SLFV branching_coalescing_random_walk isolation_by_distance one_dimension spatial_coalescent %T The Brownian Net and Selection in the Spatial Lambda-Fleming-Viot Process %U http://arxiv.org/abs/1506.01158 %X We obtain the Brownian net of Sun and Swart (2008) as the scaling limit of the paths traced out by a system of continuous space and time branching and coalescing random walks. This demonstrates a certain robustness 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 of spatial structure on the spread of a selectively advantageous gene through such a population.

@misc{etheridge2015brownian, 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 space and time branching and coalescing random walks. This demonstrates a certain robustness 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 of spatial structure on the spread of a selectively advantageous gene through such a population.}, added-at = {2016-03-25T19:21:59.000+0100}, author = {Etheridge, Alison and Freeman, Nic and Straulino, Daniel}, biburl = {https://www.bibsonomy.org/bibtex/25192f75d7c82cf97683ce634a2c6d779/peter.ralph}, interhash = {d68e45a07d72cfb5be5af2fc2e471ffa}, intrahash = {5192f75d7c82cf97683ce634a2c6d779}, keywords = {Brownian_net SLFV branching_coalescing_random_walk isolation_by_distance one_dimension spatial_coalescent}, note = {cite arxiv:1506.01158Comment: 43 pages, 5 figures}, timestamp = {2016-03-25T19:21:59.000+0100}, title = {The {Brownian} Net and Selection in the Spatial {Lambda}-{Fleming}-{Viot} Process}, url = {http://arxiv.org/abs/1506.01158}, year = 2015 }