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Evolution in range expansions with competition at rough boundaries
Name
1812.09279.pdf
Description
Submitted version
Size
2.19 MB
Format
Adobe PDF
Checksum (MD5)
2b220b80bd978e1657aacbb68c2a0105
Author(s)
Chu, Sherry
Kardar, Mehran
Nelson, David R
Beller, Daniel A
Journal
Journal of Theoretical Biology
Publisher
Elsevier BV
Version
Original manuscript
Abstract
© 2019 Elsevier Ltd When a biological population expands into new territory, genetic drift develops an enormous influence on evolution at the propagating front. In such range expansion processes, fluctuations in allele frequencies occur through stochastic spatial wandering of both genetic lineages and the boundaries between genetically segregated sectors. Laboratory experiments on microbial range expansions have shown that this stochastic wandering, transverse to the front, is superdiffusive due to the front's growing roughness, implying much faster loss of genetic diversity than predicted by simple flat front diffusive models. We study the evolutionary consequences of this superdiffusive wandering using two complementary numerical models of range expansions: the stepping stone model, and a new interpretation of the model of directed paths in random media, in the context of a roughening population front. Through these approaches we compute statistics for the times since common ancestry for pairs of individuals with a given spatial separation at the front, and we explore how environmental heterogeneities can locally suppress these superdiffusive fluctuations.
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
10.1016/J.JTBI.2019.06.018
