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Hills, Thomas Trenholm; Kalff, Christopher; Wiener, Jan M. (2013)
Publisher: Public Library of Science
Journal: PLoS ONE
Languages: English
Types: Article
Subjects: Social and Behavioral Sciences, Probability Theory, Research Article, Biology, BF, Mathematics, Veterinary Science, Animal Behavior, Behavioral Ecology, Mental Health, Medicine, Statistical Distributions, Agriculture, QA, Q, Ecology, R, Evolutionary Biology, Psychology, Physics, Science, Animal Management, Behavior, Zoology
A considerable amount of research has claimed that animals’ foraging behaviors display movement lengths with power-law\ud distributed tails, characteristic of Le\ud ́\ud vy flights and Le\ud ́\ud vy walks. Though these claims have recently come into question, the\ud proposal that many animals forage using Le\ud ́\ud vy processes nonetheless remains. A Le\ud ́\ud vy process does not consider when or\ud where resources are encountered, and samples movement lengths independently of past experience. However, Le\ud ́\ud vy\ud processes too have come into question based on the observation that in patchy resource environments resource-sensitive\ud foraging strategies, like area-restricted search, perform better than Le\ud ́\ud vy flights yet can still generate heavy-tailed\ud distributions of movement lengths. To investigate these questions further, we tracked humans as they searched for hidden\ud resources in an open-field virtual environment, with either patchy or dispersed resource distributions. Supporting previous\ud research, for both conditions logarithmic binning methods were consistent with Le\ud ́\ud vy flights and rank-frequency methods–\ud comparing alternative distributions using maximum likelihood methods–showed the strongest support for bounded\ud power-law distributions (truncated Le\ud ́\ud vy flights). However, goodness-of-fit tests found that even bounded power-law\ud distributions only accurately characterized movement behavior for 4 (out of 32) participants. Moreover, paths in the patchy\ud environment (but not the dispersed environment) showed a transition to intensive search following resource encounters,\ud characteristic of area-restricted search. Transferring paths between environments revealed that paths generated in the\ud patchy environment were adapted to that environment. Our results suggest that though power-law distributions do not\ud accurately reflect human search, Le\ud ́\ud vy processes may still describe movement in dispersed environments, but not in patchy\ud environments–where search was area-restricted. Furthermore, our results indicate that search strategies cannot be inferred\ud without knowing how organisms respond to resources–as both patched and dispersed conditions led to similar Le\ud ́\ud vy-like\ud movement distributions

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