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Metapopulation dynamics and total biomass: Understanding the effects of diffusion in complex networks

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  • Ruiz-Herrera, Alfonso

Abstract

In this study, I explored the impact of constructing a new dispersal route between two different patches in a metapopulation. My results indicated that its success/failure on the population abundance greatly depends on the patches directly involved and negligibly on the network topology. Specifically, constructing a dispersal route is highly recommended if it connects a source to a source that is close to becoming a sink or a sink that is close to becoming a source. This biological property is the basis for understanding the influence of the network topology on the population abundance. According to some thresholds discussed in this manuscript, I identified when a given route has a positive or negative effect on the population size. Consequently, as a simple rule of thumb, managers should look for metapopulations that have the maximum (resp. minimum) number paths with a positive (resp. negative) effect on the population abundance. As emphasized, the biological results of this paper do not depend on the model formulation.

Suggested Citation

  • Ruiz-Herrera, Alfonso, 2018. "Metapopulation dynamics and total biomass: Understanding the effects of diffusion in complex networks," Theoretical Population Biology, Elsevier, vol. 121(C), pages 1-11.
    • Handle: RePEc:eee:thpobi:v:121:y:2018:i:c:p:1-11
    DOI: 10.1016/j.tpb.2018.03.002
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    References listed on IDEAS

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    1. Mathieu Faure & Sebastian Schreiber, 2014. "Quasi-stationary distributions for randomly perturbed dynamical systems," Post-Print hal-01474257, HAL.
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    Cited by:

    1. Huang, Rong & Wang, Yuanshi & Wu, Hong, 2020. "Population abundance in predator–prey systems with predator’s dispersal between two patches," Theoretical Population Biology, Elsevier, vol. 135(C), pages 1-8.
    2. Jiale Ban & Yuanshi Wang & Hong Wu, 2022. "Dynamics of predator-prey systems with prey’s dispersal between patches," Indian Journal of Pure and Applied Mathematics, Springer, vol. 53(2), pages 550-569, June.
    3. Wu, Hong & Wang, Yuanshi & Li, Yufeng & DeAngelis, Donald L., 2020. "Dispersal asymmetry in a two-patch system with source–sink populations," Theoretical Population Biology, Elsevier, vol. 131(C), pages 54-65.

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