The Volterra Principle Generalized

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Räz, Tim
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preprint description
Michael Weisberg and Kenneth Reisman argue that the so-called Volterra Principle can be derived from a series of predator-prey models, and that, therefore, the Volterra Principle is a prime example for the practice of robustness analysis. In the present paper, I give new results regarding the Volterra Principle, extending Weisberg’s and Reisman’s work, and I discuss the consequences of these new results for robustness analysis. I argue that we do not end up with multiple, independent models, but rather with one general model. I identify the kind of situation in which this generalization approach may occur, I analyze the generalized Volterra Principle from an explanatory perspective, and I propose that cases in which the generalization approach may not apply are in fact cases of mathematical coincidences.