Optimal search in interacting populations: Gaussian jumps versus Lévy flights

Ricardo Martínez-García, Justin M. Calabrese, and Cristóbal López
Phys. Rev. E 89, 032718 – Published 26 March 2014

Abstract

We investigated the relationships between search efficiency, movement strategy, and nonlocal communication in the biological context of animal foraging. We considered situations where the members of a population of foragers perform either Gaussian jumps or Lévy flights, and show that the search time is minimized when communication among individuals occurs at intermediate ranges, independently of the type of movement. Additionally, while Brownian strategies are more strongly influenced by the communication mechanism, Lévy flights still result in shorter overall search durations.

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  • Received 28 January 2014

DOI:https://doi.org/10.1103/PhysRevE.89.032718

©2014 American Physical Society

Authors & Affiliations

Ricardo Martínez-García1, Justin M. Calabrese2, and Cristóbal López1

  • 1IFISC, Instituto de Física Interdisciplinar y Sistemas Complejos (CSIC-UIB), E-07122 Palma de Mallorca, Spain
  • 2Conservation Ecology Center, Smithsonian Conservation Biology Institute, National Zoological Park, 1500 Remount Rd., Front Royal, Virginia 22630, USA

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Issue

Vol. 89, Iss. 3 — March 2014

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