Reply to “Comment on ‘Inverse Square Lévy Walks are not Optimal Search Strategies for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi><mml:mo>≥</mml:mo><mml:mn>2</mml:mn></mml:math> ”’

Nicolas Levernier, Johannes Textor, O. Bénichou, Raphaël Voituriez

Type: Letter

Publication Date: 2021-01-28

Citations: 19

DOI: https://doi.org/10.1103/physrevlett.126.048902

Abstract

We refute here the concernes raised in the Comment of our letter. This reply states clearly the validity range of our results and shows that the optimality of inverse-square Levy walks at the basis of the Levy flight foraging hypothesis is generically unfounded. We also give the precise set of conditions for which inverse-levy square Levy walks turn to be optimal, conditions which are unlikely to be verified biologically.

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