Journal
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
Volume 105, Issue 32, Pages 11055-11059Publisher
NATL ACAD SCIENCES
DOI: 10.1073/pnas.0803117105
Keywords
random processes; optimization; Levy walk; movement ecology
Categories
Funding
- Natural Sciences and Engineering Research Counsel of Canada
- Canada Research Chairs programme
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Intermittent search processes switch between local Brownian search events and ballistic relocation phases. We demonstrate analytically and numerically in one dimension that when relocation times are Levy distributed, resulting in a Levy walk dynamics, the search process significantly outperforms the previously investigated case of exponentially distributed relocation times: The resulting Levy walks reduce oversampling and thus further optimize the intermittent search strategy in the critical situation of rare targets. We also show that a searching agent that uses the Levy strategy is much less sensitive to the target density, which would require considerably less adaptation by the searcher.
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