IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0083142.html
   My bibliography  Save this article

The Advantage of Arriving First: Characteristic Times in Finite Size Populations of Error-Prone Replicators

Author

Listed:
  • Arturo Marín
  • Héctor Tejero
  • Juan Carlos Nuño
  • Francisco Montero

Abstract

We study the evolution of a finite size population formed by mutationally isolated lineages of error-prone replicators in a two-peak fitness landscape. Computer simulations are performed to gain a stochastic description of the system dynamics. More specifically, for different population sizes, we compute the probability of each lineage being selected in terms of their mutation rates and the amplification factors of the fittest phenotypes. We interpret the results as the compromise between the characteristic time a lineage takes to reach its fittest phenotype by crossing the neutral valley and the selective value of the sequences that form the lineages. A main conclusion is drawn: for finite population sizes, the survival probability of the lineage that arrives first to the fittest phenotype rises significantly.

Suggested Citation

  • Arturo Marín & Héctor Tejero & Juan Carlos Nuño & Francisco Montero, 2013. "The Advantage of Arriving First: Characteristic Times in Finite Size Populations of Error-Prone Replicators," PLOS ONE, Public Library of Science, vol. 8(12), pages 1-12, December.
    • Handle: RePEc:plo:pone00:0083142
    DOI: 10.1371/journal.pone.0083142
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0083142
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0083142&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0083142?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Claus O. Wilke & Jia Lan Wang & Charles Ofria & Richard E. Lenski & Christoph Adami, 2001. "Evolution of digital organisms at high mutation rates leads to survival of the flattest," Nature, Nature, vol. 412(6844), pages 331-333, July.
    2. F. Taddei & M. Radman & J. Maynard-Smith & B. Toupance & P. H. Gouyon & B. Godelle, 1997. "Role of mutator alleles in adaptive evolution," Nature, Nature, vol. 387(6634), pages 700-702, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Greenspoon, Philip B. & Mideo, Nicole, 2017. "Evolutionary rescue of a parasite population by mutation rate evolution," Theoretical Population Biology, Elsevier, vol. 117(C), pages 64-75.
    2. Lukas Aufinger & Johann Brenner & Friedrich C. Simmel, 2022. "Complex dynamics in a synchronized cell-free genetic clock," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    3. Elizabeth Aston & Alastair Channon & Charles Day & Christopher G Knight, 2013. "Critical Mutation Rate Has an Exponential Dependence on Population Size in Haploid and Diploid Populations," PLOS ONE, Public Library of Science, vol. 8(12), pages 1-11, December.
    4. Muirhead, Stephen & Pymar, Richard, 2016. "Localisation in the Bouchaud–Anderson model," Stochastic Processes and their Applications, Elsevier, vol. 126(11), pages 3402-3462.
    5. Tobias Sikosek & Erich Bornberg-Bauer & Hue Sun Chan, 2012. "Evolutionary Dynamics on Protein Bi-stability Landscapes can Potentially Resolve Adaptive Conflicts," PLOS Computational Biology, Public Library of Science, vol. 8(9), pages 1-17, September.
    6. Proulx, Stephen R., 2011. "The rate of multi-step evolution in Moran and Wright–Fisher populations," Theoretical Population Biology, Elsevier, vol. 80(3), pages 197-207.
    7. Startek, Michał & Le Rouzic, Arnaud & Capy, Pierre & Grzebelus, Dariusz & Gambin, Anna, 2013. "Genomic parasites or symbionts? Modeling the effects of environmental pressure on transposition activity in asexual populations," Theoretical Population Biology, Elsevier, vol. 90(C), pages 145-151.
    8. Ravi Kashyap, 2019. "Concepts, Components and Collections of Trading Strategies and Market Color," Papers 1910.02144, arXiv.org, revised Jan 2020.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:plo:pone00:0083142. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.