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Metapopulation Persistence and Extinction in a Fragmented Random Habitat: A Simulation Study

Author

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  • Hashem Althagafi

    (School of Computing and Mathematical Sciences, University of Leicester, Leicester LE1 7RH, UK
    Department of Mathematics Science, Umm Al-Qura University, Mecca 24381, Saudi Arabia)

  • Sergei Petrovskii

    (School of Computing and Mathematical Sciences, University of Leicester, Leicester LE1 7RH, UK
    Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow 117198, Russia)

Abstract

Habitat fragmentation is recognized as the most serious threat to biodiversity worldwide and has been the focus of intensive research for a few decades. Due to the complexity of the problem, however, there are still many issues that remain poorly understood. In particular, it remains unclear how species extinction or persistence in a fragmented habitat consisting of sites with randomly varying properties can be affected by the strength of inter-site coupling (e.g., due to migration between sites). In this paper, we address this problem by means of numerical simulations using a conceptual single-species spatially-discrete system. We show how an increase in the inter-site coupling changes the population distribution, leading to the formation of persistence domains separated by extinction domains. Having analysed the simulation results, we suggest a simple heuristic criterion that allows one to distinguish between different spatial domains where the species either persists or goes extinct.

Suggested Citation

  • Hashem Althagafi & Sergei Petrovskii, 2021. "Metapopulation Persistence and Extinction in a Fragmented Random Habitat: A Simulation Study," Mathematics, MDPI, vol. 9(18), pages 1-16, September.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:18:p:2202-:d:631436
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    References listed on IDEAS

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    1. Bernd Blasius & Amit Huppert & Lewi Stone, 1999. "Complex dynamics and phase synchronization in spatially extended ecological systems," Nature, Nature, vol. 399(6734), pages 354-359, May.
    2. Ilkka Hanski & Otso Ovaskainen, 2000. "The metapopulation capacity of a fragmented landscape," Nature, Nature, vol. 404(6779), pages 755-758, April.
    3. Bodin, Örjan & Saura, Santiago, 2010. "Ranking individual habitat patches as connectivity providers: Integrating network analysis and patch removal experiments," Ecological Modelling, Elsevier, vol. 221(19), pages 2393-2405.
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    Cited by:

    1. Alexander Korotkov & Sergei Petrovskii, 2023. "Extinctions in a Metapopulation with Nonlinear Dispersal Coupling," Mathematics, MDPI, vol. 11(20), pages 1-22, October.

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