IDEAS home Printed from https://ideas.repec.org/a/eee/thpobi/v145y2022icp22-37.html
   My bibliography  Save this article

Extinction threshold and large population limit of a plant metapopulation model with recurrent extinction events and a seed bank component

Author

Listed:
  • Louvet, Apolline

Abstract

We introduce a new model for plant metapopulations with a seed bank component, living in a fragmented environment in which local extinction events are frequent. This model is an intermediate between population dynamics models with a seed bank component, based on the classical Wright–Fisher model, and Stochastic Patch Occupancy Models (SPOMs) used in metapopulation ecology. Its main feature is the use of “ghost†individuals, which can reproduce but with a very strong selective disadvantage against “real†individuals, to artificially ensure a constant population size. We show the existence of an extinction threshold above which persistence of the subpopulation of “real†individuals is not possible, and investigate how the seed bank characteristics affect this extinction threshold. We also show the convergence of the model to a SPOM under an appropriate scaling, bridging the gap between individual-based models and occupancy models.

Suggested Citation

  • Louvet, Apolline, 2022. "Extinction threshold and large population limit of a plant metapopulation model with recurrent extinction events and a seed bank component," Theoretical Population Biology, Elsevier, vol. 145(C), pages 22-37.
    • Handle: RePEc:eee:thpobi:v:145:y:2022:i:c:p:22-37
    DOI: 10.1016/j.tpb.2022.02.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0040580922000144
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.tpb.2022.02.003?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. Barton, N.H. & Etheridge, A.M. & Kelleher, J. & Véber, A., 2013. "Genetic hitchhiking in spatially extended populations," Theoretical Population Biology, Elsevier, vol. 87(C), pages 75-89.
    2. Hallatschek, Oskar & Nelson, David R., 2008. "Gene surfing in expanding populations," Theoretical Population Biology, Elsevier, vol. 73(1), pages 158-170.
    3. Benjamin Borgy & Xavier Reboud & Nathalie Peyrard & Régis Sabbadin & Sabrina Gaba, 2015. "Dynamics of Weeds in the Soil Seed Bank: A Hidden Markov Model to Estimate Life History Traits from Standing Plant Time Series," PLOS ONE, Public Library of Science, vol. 10(10), pages 1-15, October.
    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. Movedi, Ermes & Valiante, Daniele & Colosio, Alessandro & Corengia, Luca & Cossa, Stefano & Confalonieri, Roberto, 2022. "A new approach for modeling crop-weed interaction targeting management support in operational contexts: A case study on the rice weeds barnyardgrass and red rice," Ecological Modelling, Elsevier, vol. 463(C).
    2. Foutel-Rodier, Félix & Etheridge, Alison M., 2020. "The spatial Muller’s ratchet: Surfing of deleterious mutations during range expansion," Theoretical Population Biology, Elsevier, vol. 135(C), pages 19-31.
    3. Wakano, Joe Y. & Kawasaki, Kohkichi & Shigesada, Nanako & Aoki, Kenichi, 2011. "Coexistence of individual and social learners during range expansion," Theoretical Population Biology, Elsevier, vol. 80(2), pages 132-140.
    4. Kajántó, Sándor & Néda, Zoltán, 2018. "Universality in the coarse-grained fluctuations for a class of linear dynamical systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 215-220.
    5. Barton, N.H. & Etheridge, A.M. & Kelleher, J. & Véber, A., 2013. "Genetic hitchhiking in spatially extended populations," Theoretical Population Biology, Elsevier, vol. 87(C), pages 75-89.
    6. Orlando, Francesca & Alali, Sumer & Vaglia, Valentina & Pagliarino, Elena & Bacenetti, Jacopo & Bocchi, Stefano & Bocchi, Stefano, 2020. "Participatory approach for developing knowledge on organic rice farming: Management strategies and productive performance," Agricultural Systems, Elsevier, vol. 178(C).
    7. Yuri V. Tyutyunov, 2023. "Spatial Demo-Genetic Predator–Prey Model for Studying Natural Selection of Traits Enhancing Consumer Motility," Mathematics, MDPI, vol. 11(15), pages 1-18, August.
    8. Paula Villa Martín & Miguel A Muñoz & Simone Pigolotti, 2019. "Bet-hedging strategies in expanding populations," PLOS Computational Biology, Public Library of Science, vol. 15(4), pages 1-17, April.
    9. Máté, Gabriell & Néda, Zoltán, 2016. "The advantage of inhomogeneity — Lessons from a noise driven linearized dynamical system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 310-317.
    10. Goodsman, Devin W. & Cooke, Barry & Coltman, David W. & Lewis, Mark A., 2014. "The genetic signature of rapid range expansions: How dispersal, growth and invasion speed impact heterozygosity and allele surfing," Theoretical Population Biology, Elsevier, vol. 98(C), pages 1-10.

    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:145:y:2022:i:c:p:22-37. 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.