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The statistics of fixation times for systems with recruitment
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Biancalani, Tommaso, Dyson, Louise and McKane, Alan J. (2015) The statistics of fixation times for systems with recruitment. Journal of Statistical Mechanics: Theory and Experiment, 2015 (1). P01013. doi:10.1088/1742-5468/2015/01/P01013
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Official URL: http://dx.doi.org/10.1088/1742-5468/2015/01/P01013
Abstract
We investigate the statistics of the time taken for a system driven by recruitment to reach fixation. Our model describes a series of experiments where a population is confronted with two identical options, resulting in the system fixating on one of the options. For a specific population size, we show that the time distribution behaves like an inverse Gaussian with an exponential decay. Varying the population size reveals that the timescale of the decay depends on the population size and allows the critical population number, below which fixation occurs, to be estimated from experimental data.
| Item Type: | Journal Article | ||||||||||
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| Divisions: | Faculty of Science > Life Sciences (2010- ) Faculty of Science > Mathematics |
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| Journal or Publication Title: | Journal of Statistical Mechanics: Theory and Experiment | ||||||||||
| Publisher: | Institute of Physics Publishing Ltd. | ||||||||||
| ISSN: | 1742-5468 | ||||||||||
| Official Date: | 9 January 2015 | ||||||||||
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| Volume: | 2015 | ||||||||||
| Number: | 1 | ||||||||||
| Article Number: | P01013 | ||||||||||
| DOI: | 10.1088/1742-5468/2015/01/P01013 | ||||||||||
| Status: | Peer Reviewed | ||||||||||
| Publication Status: | Published | ||||||||||
| Access rights to Published version: | Restricted or Subscription Access |
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