IDEAS home Printed from https://ideas.repec.org/a/eee/thpobi/v77y2010i1p6-13.html
   My bibliography  Save this article

Fluctuation domains in adaptive evolution

Author

Listed:
  • Boettiger, Carl
  • Dushoff, Jonathan
  • Weitz, Joshua S.

Abstract

We derive an expression for the variation between parallel trajectories in phenotypic evolution, extending the well known result that predicts the mean evolutionary path in adaptive dynamics or quantitative genetics. We show how this expression gives rise to the notion of fluctuation domains–parts of the fitness landscape where the rate of evolution is very predictable (due to fluctuation dissipation) and parts where it is highly variable (due to fluctuation enhancement). These fluctuation domains are determined by the curvature of the fitness landscape. Regions of the fitness landscape with positive curvature, such as adaptive valleys or branching points, experience enhancement. Regions with negative curvature, such as adaptive peaks, experience dissipation. We explore these dynamics in the ecological scenarios of implicit and explicit competition for a limiting resource.

Suggested Citation

  • Boettiger, Carl & Dushoff, Jonathan & Weitz, Joshua S., 2010. "Fluctuation domains in adaptive evolution," Theoretical Population Biology, Elsevier, vol. 77(1), pages 6-13.
    • Handle: RePEc:eee:thpobi:v:77:y:2010:i:1:p:6-13
    DOI: 10.1016/j.tpb.2009.10.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0040580909001130
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.tpb.2009.10.003?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ulf Dieckmann & Michael Doebeli, 1999. "On the origin of species by sympatric speciation," Nature, Nature, vol. 400(6742), pages 354-357, July.
    2. U. Dieckmann & M. Doebeli, 1999. "On the Origin of Species by Sympatric Speciation," Working Papers ir99013, International Institute for Applied Systems Analysis.
    3. U. Dieckmann & R. Law, 1996. "The Dynamical Theory of Coevolution: A Derivation from Stochastic Ecological Processes," Working Papers wp96001, International Institute for Applied Systems Analysis.
    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. Åke Brännström & Jacob Johansson & Niels Von Festenberg, 2013. "The Hitchhiker’s Guide to Adaptive Dynamics," Games, MDPI, vol. 4(3), pages 1-25, June.
    2. José Camacho Mateu & Matteo Sireci & Miguel A Muñoz, 2021. "Phenotypic-dependent variability and the emergence of tolerance in bacterial populations," PLOS Computational Biology, Public Library of Science, vol. 17(9), pages 1-28, September.
    3. Troost, T.A. & Kooi, B.W. & Kooijman, S.A.L.M., 2007. "Bifurcation analysis of ecological and evolutionary processes in ecosystems," Ecological Modelling, Elsevier, vol. 204(1), pages 253-268.
    4. Zu, Jian & Wang, Jinliang, 2013. "Adaptive evolution of attack ability promotes the evolutionary branching of predator species," Theoretical Population Biology, Elsevier, vol. 89(C), pages 12-23.
    5. Svardal, Hannes & Rueffler, Claus & Hermisson, Joachim, 2015. "A general condition for adaptive genetic polymorphism in temporally and spatially heterogeneous environments," Theoretical Population Biology, Elsevier, vol. 99(C), pages 76-97.
    6. Champagnat, Nicolas, 2006. "A microscopic interpretation for adaptive dynamics trait substitution sequence models," Stochastic Processes and their Applications, Elsevier, vol. 116(8), pages 1127-1160, August.
    7. E. Kisdi & F.J.A. Jacobs & S.A.H. Geritz, 2000. "Red Queen Evolution by Cycles of Evolutionary Branching and Extinction," Working Papers ir00030, International Institute for Applied Systems Analysis.
    8. Nurmi, Tuomas & Parvinen, Kalle, 2008. "On the evolution of specialization with a mechanistic underpinning in structured metapopulations," Theoretical Population Biology, Elsevier, vol. 73(2), pages 222-243.
    9. Alexandros Rigos & Heinrich H. Nax, 2015. "Assortativity evolving from social dilemmas," Discussion Papers in Economics 15/19, Division of Economics, School of Business, University of Leicester.
    10. Chaianunporn, Thotsapol & Hovestadt, Thomas, 2012. "Concurrent evolution of random dispersal and habitat niche width in host-parasitoid systems," Ecological Modelling, Elsevier, vol. 247(C), pages 241-250.
    11. Michael B. Doud & Animesh Gupta & Victor Li & Sarah J. Medina & Caesar A. Fuente & Justin R. Meyer, 2024. "Competition-driven eco-evolutionary feedback reshapes bacteriophage lambda’s fitness landscape and enables speciation," Nature Communications, Nature, vol. 15(1), pages 1-12, December.
    12. Bagnoli, Franco & Guardiani, Carlo, 2005. "A model of sympatric speciation through assortative mating," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 347(C), pages 534-574.
    13. Bhattacharyay, A. & Drossel, B., 2005. "Modeling coevolution and sympatric speciation of flowers and pollinators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(1), pages 159-172.
    14. Sakamoto, T. & Innan, H., 2020. "Establishment process of a magic trait allele subject to both divergent selection and assortative mating," Theoretical Population Biology, Elsevier, vol. 135(C), pages 9-18.
    15. Cook, James N. & Oono, Y., 2010. "Competitive localization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(9), pages 1849-1860.
    16. Cecilia Berardo & Iulia Martina Bulai & Ezio Venturino, 2021. "Interactions Obtained from Basic Mechanistic Principles: Prey Herds and Predators," Mathematics, MDPI, vol. 9(20), pages 1-18, October.
    17. Davison, Raziel & Stadman, Marc & Jongejans, Eelke, 2019. "Stochastic effects contribute to population fitness differences," Ecological Modelling, Elsevier, vol. 408(C), pages 1-1.
    18. E. Kisdi & S.A.H. Geritz, 1999. "Evolutionary Branching and Sympatric Speciation in Diploid Populations," Working Papers ir99048, International Institute for Applied Systems Analysis.
    19. Zvi Drezner & Taly Dawn Drezner, 2020. "Biologically Inspired Parent Selection in Genetic Algorithms," Annals of Operations Research, Springer, vol. 287(1), pages 161-183, April.
    20. Débarre, Florence & Otto, Sarah P., 2016. "Evolutionary dynamics of a quantitative trait in a finite asexual population," Theoretical Population Biology, Elsevier, vol. 108(C), pages 75-88.

    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:eee:thpobi:v:77:y:2010:i:1:p:6-13. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/intelligence .

    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.