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Tempo and mode in quasispecies evolution

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Biological Evolution and Statistical Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 585))

Abstract

Evolutionary dynamics in an uncorrelated rugged fitness landscape is studied in the framework of Eigen’s molecular quasispecies model. We consider the case of strong selection, which is analogous to the zero temperature limit in the equivalent problem of directed polymers in random media. In this limit the population is always localized at a single temporary master sequence σ*(t), and we study the statistical properties of the evolutionary trajectory which σ*(t) traces out in sequence space. Numerical results for binary sequences of length N = 10 and exponential and uniform fitness distributions are presented. Evolution proceeds by intermittent jumps between local fitness maxima, where high lying maxima are visited more frequently by the trajectories. The probability distribution for the total time T required to reach the global maximum shows a T -2-tail, which is argued to be universal and to derive from near-degenerate fitness maxima. The total number of jumps along any given trajectory is always small, much smaller than predicted by the statistics of records for random long-ranged evolutionary jumps.

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Author information

Authors and Affiliations

  1. Fachbereich Physik, Universität Essen, D-45117, Essen, Germany

    Joachim Krug

  2. CAMP and Department of Physics, DTU, DK-2800, Kongens Lyngby, Denmark

    Joachim Krug

  3. Niels Bohr Institute, Blegdamsvej 17, DK-2100, CopenhagenØ, Denmark

    Joachim Krug

  4. Institute for Theoretical Physics, UCSB, 93106-4030, Santa Barbara, CA, USA

    Joachim Krug

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  1. Joachim Krug
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Editors and Affiliations

  1. Institute for Theoretical Physics, University of Cologne, Zülpicher Straße 77, 50937, Köln, Germany

    Michael Lässig

  2. Theory Division, MPI for Colloids and Interfaces, 14424, Potsdam, Germany

    Angelo Valleriani

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© 2002 Springer-Verlag Berlin Heidelberg

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Krug, J. (2002). Tempo and mode in quasispecies evolution. In: Lässig, M., Valleriani, A. (eds) Biological Evolution and Statistical Physics. Lecture Notes in Physics, vol 585. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45692-9_11

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  • DOI: https://doi.org/10.1007/3-540-45692-9_11

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43188-6

  • Online ISBN: 978-3-540-45692-6

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