Fixation probability and fixation time in structured populations

Tkadlec, Josef and Pavlogiannis, Andreas and Chatterjee, Krishnendu and Nowak, Martin A Fixation probability and fixation time in structured populations. Fixation probability and fixation time in structured populations. (Submitted)

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Abstract

The rate of biological evolution depends on the fixation probability and on the fixation time of new mutants. Intensive research has focused on identifying population structures that augment the fixation probability of advantageous mutants. But these “amplifiers of natural selection” typically increase fixa- tion time. Here we study population structures that achieve a tradeoff between fixation probability and time. First, we show that no amplifiers can have a significantly lower fixation time than the well-mixed population. Then we design population structures that substantially augment the fixation probability with just a minor increase in fixation time. Finally, we show that those structures enable higher effective rate of evolution than the well-mixed population provided that the rate of generating advantageous mu- tants is relatively low. Our work sheds light on how population structure affects the rate of evolution. Moreover, our structures could be useful for lab-based, medical or industrial applications of evolutionary optimization.

Item Type: Article
Subjects: 000 Computer science, knowledge & general works > 000 Computer science, knowledge & systems > 004 Data processing & computer science
500 Science > 510 Mathematics > 519 Probabilities & applied mathematics
500 Science > 570 Life sciences; biology > 576 Genetics and evolution
Research Group: Chatterjee Group
Depositing User: Pepa Tkadlec
Date Deposited: 24 Sep 2018 06:10
Last Modified: 24 Sep 2018 06:10
URI: https://repository.ist.ac.at/id/eprint/1044

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