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The probability density for .

By Armando G. M. Neves (301760) and Maurizio Serva (181756)

Abstract

<p>We show here the probability density that the final value of is in the experimental interval 0.96–0.99 as a function of . The plot was built by obtaining one million “successful” pairs such that subpopulation 2 is extinct and the final value of – obtained by solving (1) – lies in the experimental interval. These pairs were obtained out of a total of around 140 million simulated Wright-Fisher paths with random uniformly distributed between 0 and 0.8 and uniformly distributed between 0 and 2. For the successful pairs we then computed the fraction associated to any given . In the inset we plot the probability density for the final values of for three different values of . The densities are empirically determined by simulating 400,000 Wright-Fisher paths with random uniformly distributed between 0 and 1 and selecting the histories in which subpopulation 2 is extinct. The empty dots (blue) are data for , the full dots (purple) are data for and the full curve (black) are for .</p

Topics: Biophysics, Physics, Genetics, Evolutionary Biology, Mathematics, probability
Year: 2013
DOI identifier: 10.1371/journal.pone.0047076.g003
OAI identifier: oai:figshare.com:article/224458
Provided by: FigShare
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