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Trade-Off Geometries and Frequency-Dependent Selection.

Claire de Mazancourt, Ulf Dieckmann

    The American Naturalist
    |April 12, 2018
    PubMed
    Summary
    This summary is machine-generated.

    This study extends life-history evolution analysis to frequency-dependent selection, revealing four potential evolutionary outcomes. The new geometric method predicts these outcomes based on trade-offs and ecological factors.

    Keywords:
    adaptive dynamicscurvaturefitness setsfrequency‐dependent selectioninvasion fitnesstrade‐offs

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    Area of Science:

    • Evolutionary biology
    • Theoretical ecology
    • Population genetics

    Background:

    • Life-history evolution is shaped by natural selection and adaptive constraints.
    • Classical models of constrained evolution apply to frequency-independent selection.
    • Frequency-dependent selection, where pressures change with population composition, is increasingly recognized as crucial.

    Purpose of the Study:

    • To extend Richard Levins's geometric approach for analyzing constrained life-history evolution to scenarios involving frequency-dependent selection.
    • To distinguish and analyze the concepts of evolutionary stability and convergence stability under frequency dependence.
    • To develop a geometric analysis tool for predicting evolutionary outcomes in bivariate selection problems.

    Main Methods:

    • Developed a geometric mode of analysis to extend Levins's fitness set and adaptive function comparison.
    • Incorporated the concepts of evolutionary stability and convergence stability for frequency-dependent selection.
    • Analyzed how trade-off shapes and ecological parameters influence evolutionary outcomes.

    Main Results:

    • Identified four distinct classes of evolutionary outcomes arising from the combination of evolutionary and convergence stability.
    • The geometric analysis predicts evolutionary outcomes based on trade-off shapes.
    • The framework elucidates the shapes of trade-offs required for specific evolutionary outcomes.
    • Quantified the influence of ecological parameters on evolutionary outcomes, irrespective of trade-off shape.

    Conclusions:

    • The extended geometric framework provides a powerful tool for understanding life-history evolution under frequency-dependent selection.
    • This approach clarifies the interplay between selection, constraints, and evolutionary dynamics.
    • The findings have broad implications for predicting evolutionary trajectories in diverse ecological contexts.