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Superparasitism as a differential game.

Frédéric Hamelin1, Pierre Bernhard, Eric Wajnberg

  • 1CNRS and Université de Nice, Sophia Antipolis, I3S, Ecole Polytechnique, 930 route des colles, 06903 Sophia Antipolis, France. hamelin@polytech.unice.fr

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Summary

Female parasitoids face a game theory dilemma when encountering parasitized hosts. Evolutionarily stable strategies involve consistent superparasitism and synchronized patch departure to maximize reproductive success.

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Area of Science:

  • Evolutionary Ecology
  • Game Theory in Biology
  • Behavioral Ecology

Background:

  • Superparasitism occurs when a female parasitoid lays eggs in a host already containing conspecific eggs.
  • In solitary species, only one offspring typically survives, creating competition.
  • Host availability and patch exploitation dynamics influence parasitoid behavior.

Purpose of the Study:

  • To determine evolutionarily relevant strategies for parasitoids facing superparasitism.
  • To analyze oviposition and patch-leaving decisions in a game theory context.
  • To understand the trade-offs between competition and resource depletion.

Main Methods:

  • Investigated a synchronous, nonzero-sum, two-player differential game.
  • Modeled parasitoid decisions regarding accepting parasitized hosts and leaving patches.
  • Solved the game under the assumption of superparasitism success probability near one-half.

Main Results:

  • Identified candidate dynamic evolutionarily stable policies for parasitoid behavior.
  • The strategic equilibrium involves consistent superparasitism upon arrival.
  • Parasitoids are predicted to leave patches synchronously when future fitness loss from superparasitism approaches zero.

Conclusions:

  • Superparasitism does not inevitably lead to prolonged conflict or a 'war of attrition'.
  • Synchronized departure from resource patches is an evolutionarily stable strategy.
  • Parasitoid reproductive success is directly linked to optimal decision-making in competitive environments.