Neutral evolution in a biological population as diffusion in phenotype space: reproduction with local mutation but without selection |
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Authors: | Lawson Daniel John Jensen Henrik Jeldtoft |
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Institution: | Department of Mathematics, Imperial College London, South Kensington Campus, London, UK. daniel.lawson@imperial.ac.uk |
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Abstract: | The process of "evolutionary diffusion," i.e., reproduction with local mutation but without selection in a biological population, resembles standard diffusion in many ways. However, evolutionary diffusion allows the formation of localized peaks that undergo drift, even in the infinite population limit. We relate a microscopic evolution model to a stochastic model which we solve fully. This allows us to understand the large population limit, relates evolution to diffusion, and shows that independent local mutations act as a diffusion of interacting particles taking larger steps. |
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