Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6369511 | Journal of Theoretical Biology | 2015 | 13 Pages |
Abstract
Population structures can be crucial determinants of evolutionary processes. For the Moran process on graphs certain structures suppress selective pressure, while others amplify it (Lieberman et al., 2005). Evolutionary amplifiers suppress random drift and enhance selection. Recently, some results for the most powerful known evolutionary amplifier, the superstar, have been invalidated by a counter example (DÃaz et al., 2013). Here we correct the original proof and derive improved upper and lower bounds, which indicate that the fixation probability remains close to 1â1/(r4H) for population size Nââ and structural parameter H⪢1. This correction resolves the differences between the two aforementioned papers. We also confirm that in the limit N,Hââ superstars remain capable of eliminating random drift and hence of providing arbitrarily strong selective advantages to any beneficial mutation. In addition, we investigate the robustness of amplification in superstars and find that it appears to be a fragile phenomenon with respect to changes in the selection or mutation processes.
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Authors
Alastair Jamieson-Lane, Christoph Hauert,