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Revisiting Lévy flight search patterns of wandering albatrosses, bumblebees and deer

Author

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  • Andrew M. Edwards

    (British Antarctic Survey, High Cross, Madingley Road, Cambridge CB3 0ET, UK
    Present address: Pacific Biological Station, Fisheries and Oceans Canada, 3190 Hammond Bay Road, Nanaimo, British Columbia V9T 6N7, Canada.)

  • Richard A. Phillips

    (British Antarctic Survey, High Cross, Madingley Road, Cambridge CB3 0ET, UK)

  • Nicholas W. Watkins

    (British Antarctic Survey, High Cross, Madingley Road, Cambridge CB3 0ET, UK)

  • Mervyn P. Freeman

    (British Antarctic Survey, High Cross, Madingley Road, Cambridge CB3 0ET, UK)

  • Eugene J. Murphy

    (British Antarctic Survey, High Cross, Madingley Road, Cambridge CB3 0ET, UK)

  • Vsevolod Afanasyev

    (British Antarctic Survey, High Cross, Madingley Road, Cambridge CB3 0ET, UK)

  • Sergey V. Buldyrev

    (Boston University, Boston, Massachusetts 02215, USA
    Yeshiva University, 500 West 185th Street, Room 1112, Belfer Hall, New York, New York 10033, USA)

  • M. G. E. da Luz

    (Universidade Federal do Paraná, C. P. 19044, 81531-990, Curitiba-PR, Brazil)

  • E. P. Raposo

    (Laboratório de Física Teórica e Computacional, Universidade Federal de Pernambuco, 50670-901, Recife-PE, Brazil)

  • H. Eugene Stanley

    (Boston University, Boston, Massachusetts 02215, USA)

  • Gandhimohan M. Viswanathan

    (Instituto de Física, Universidade Federal de Alagoas, 57072-970, Maceió-AL, Brazil)

Abstract

Levy flights are random walks characterised by many short steps and rare long steps. They display fractal properties, have no typical scale, and occur in physical and chemical systems. On the basis of high-resolution data and new analyses, previous claims that wandering albatrosses perform Levy flights when searching for prey on the ocean surface are shown to be unfounded. A new method is proposed for use when testing for power-law distributions.

Suggested Citation

  • Andrew M. Edwards & Richard A. Phillips & Nicholas W. Watkins & Mervyn P. Freeman & Eugene J. Murphy & Vsevolod Afanasyev & Sergey V. Buldyrev & M. G. E. da Luz & E. P. Raposo & H. Eugene Stanley & Ga, 2007. "Revisiting Lévy flight search patterns of wandering albatrosses, bumblebees and deer," Nature, Nature, vol. 449(7165), pages 1044-1048, October.
    • Handle: RePEc:nat:nature:v:449:y:2007:i:7165:d:10.1038_nature06199
    DOI: 10.1038/nature06199
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    Cited by:

    1. Shinohara, Shuji & Okamoto, Hiroshi & Manome, Nobuhito & Gunji, Pegio-Yukio & Nakajima, Yoshihiro & Moriyama, Toru & Chung, Ung-il, 2022. "Simulation of foraging behavior using a decision-making agent with Bayesian and inverse Bayesian inference: Temporal correlations and power laws in displacement patterns," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    2. Song, Yi & Xu, Wei & Wei, Wei & Niu, Lizhi, 2023. "Dynamical transition of phenotypic states in breast cancer system with Lévy noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 627(C).
    3. Mi, Li-Na & Guo, Yong-Feng & Zhang, Meng & Zhuo, Xiao-Jing, 2023. "Stochastic resonance in gene transcriptional regulatory system driven by Gaussian noise and Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    4. Yang, Yi & Huang, Jin, 2024. "Double fast algorithm for solving time-space fractional diffusion problems with spectral fractional Laplacian," Applied Mathematics and Computation, Elsevier, vol. 475(C).
    5. Danish A. Ahmed & Sergei V. Petrovskii & Paulo F. C. Tilles, 2018. "The “Lévy or Diffusion” Controversy: How Important Is the Movement Pattern in the Context of Trapping?," Mathematics, MDPI, vol. 6(5), pages 1-27, May.
    6. Butts, David J. & Thompson, Noelle E. & Christensen, Sonja A. & Williams, David M. & Murillo, Michael S., 2022. "Data-driven agent-based model building for animal movement through Exploratory Data Analysis," Ecological Modelling, Elsevier, vol. 470(C).
    7. Xie, Bing & Ge, Fudong, 2023. "Parameters and order identification of fractional-order epidemiological systems by Lévy-PSO and its application for the spread of COVID-19," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    8. Meraz, M. & Alvarez-Ramirez, J. & Rodriguez, E., 2022. "Multivariate rescaled range analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 589(C).
    9. Toman, Kellan & Voulgarakis, Nikolaos K., 2022. "Stochastic pursuit-evasion curves for foraging dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).

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