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SUMMARY:Branching Brownian motion\, the Brownian net and selection in spat
 ially structured populations - Etheridge\, A (University of Oxford)
DTSTART:20150318T100000Z
DTEND:20150318T110000Z
UID:TALK58455@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-authors: Nic Freeman (University of Bristol)\, Daniel Strau
 lino (University of Oxford) \n\nOur motivation in this work is to understa
 nd the influence of the spatial structure of a population on the efficacy 
 of natural selection acting upon it. From a biological perspective\, what 
 is interesting is that whereas when population density is high\, the proba
 bility that a selectively favoured genetic type takes over a population is
  independent of spatial dimension\, when population density is low\, this 
 is no longer the case and spatial dimension plays an important role. The p
 roofs are of independent mathematical interest: for example\, in one dimen
 sion we find a new route to the Brownian net\, from a continuum model of b
 ranching and coalescing lineages. In the biologically most interesting set
 ting of two spatial dimensions\, as we rescale our continuum model there i
 s a finely balanced tradeoff between branching and coalescing lineages\, e
 ventually resulting in a branching Brownian motion.\n
LOCATION:Seminar Room 1\, Newton Institute
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