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SUMMARY:Rahul Roy (Indian Statistical Institute\, Delhi)
DTSTART:20201007T090000Z
DTEND:20201007T104500Z
DTSTAMP:20260421T173442Z
UID:BPS/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BPS/6/">On m
 odels of evolution of species</a>\nby Rahul Roy (Indian Statistical Instit
 ute\, Delhi) as part of Bangalore Probability Seminar\n\n\nAbstract\nThis 
 talk has two parts. In the first part we discuss the Bak-Sneppen and the\n
 Guiol-Machado-Schinazi (GMS) models of evolution.\n\nIn the second part of
  the talk we study the variation of the GMS model introduced by Ben-Ari an
 d Schinazi (2016). This model is a birth and death model with an individua
 l at birth being either a mutant with a random fitness parameter in [0\, 1
 ] or having one of the existing fitness parameters with uniform probabilit
 y\; whereas a death event removes the entire population of the least fit s
 ite. We change this to incorporate the notion of ‘survival of the fittes
 t’\, by requiring that a non-mutant individual\, at birth\, has a fitnes
 s according to a preferential attachment mechanism\, i.e.\, it has a fitne
 ss f with a probability proportional to the size of the population of fitn
 ess f. Also death just removes one individual at the least fit site. This 
 preferential attachment rule leads to a power law behaviour in the asympto
 tics\, unlike the exponential behaviour obtained by Ben-Ari and Schinazi (
 2016).\n
LOCATION:https://researchseminars.org/talk/BPS/6/
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