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Aggregation and stability in metapopulation models.

W W Murdoch, C J Briggs, R M Nisbet

    The American Naturalist
    |May 12, 2009
    PubMed
    Summary
    This summary is machine-generated.

    Environmental patch differences stabilize predator-prey models by influencing immigration rates. Predator aggregation can stabilize or destabilize populations, showing metapopulation models differ from single-population ones.

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    Area of Science:

    • Ecology
    • Population Dynamics
    • Mathematical Biology

    Background:

    • Lotka-Volterra models describe predator-prey dynamics.
    • Metapopulation models consider spatially structured populations.
    • Environmental heterogeneity can influence population stability.

    Purpose of the Study:

    • To analyze a metapopulation model with two distinct patches.
    • To investigate the effects of environmental differences and migration on stability.
    • To examine how predator aggregation impacts population dynamics.

    Main Methods:

    • Analysis of a two-patch Lotka-Volterra metapopulation model.
    • Inclusion of migration between patches with environmental differences.
    • Modeling of density-dependent immigration, prey death rates, and predator birth rates.
    • Assessment of spatially density-dependent prey movement and predator aggregation.

    Main Results:

    • Environmental patch differences stabilize the model by creating density-dependent immigration.
    • Prey movement can be destabilizing or stabilizing depending on density dependence and movement rates.
    • Predator aggregation generally stabilizes at weak levels but destabilizes at strong levels.
    • Predator aggregation can destabilize initially stable models.

    Conclusions:

    • Metapopulation models are not direct analogues of single-population models.
    • Environmental patch differences are key drivers of stability in this metapopulation model.
    • Predator aggregation affects metapopulation and single-population models through distinct mechanisms.