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The Weierstrassian movement patterns of snails
Weierstrassian Lévy walks are the archetypical form of random walk that do not satisfy the central limit theorem and are instead characterized by scale invariance. They were originally regarded as a mathematical abstraction but subsequent theoretical studies showed that they can, in principle, at le...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
The Royal Society Publishing
2017
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5493898/ https://www.ncbi.nlm.nih.gov/pubmed/28680656 http://dx.doi.org/10.1098/rsos.160941 |
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author | Reynolds, Andy Santini, Giacomo Chelazzi, Guido Focardi, Stefano |
author_facet | Reynolds, Andy Santini, Giacomo Chelazzi, Guido Focardi, Stefano |
author_sort | Reynolds, Andy |
collection | PubMed |
description | Weierstrassian Lévy walks are the archetypical form of random walk that do not satisfy the central limit theorem and are instead characterized by scale invariance. They were originally regarded as a mathematical abstraction but subsequent theoretical studies showed that they can, in principle, at least, be generated by chaos. Recently, Weierstrassian Lévy walks have been found to provide accurate representations of the movement patterns of mussels (Mytilus edulis) and mud snails (Hydrobia ulvae) recorded in the laboratory under controlled conditions. Here, we tested whether Weierstrassian Lévy walks and chaos are present under natural conditions in intertidal limpets Patella vulgata and P. rustica, and found that both characteristics are pervasive. We thereby show that Weierstrassian Lévy walks may be fundamental to how molluscs experience and interact with the world across a wide range of ecological contexts. We also show in an easily accessible way how chaos can produce a wide variety of Weierstrassian Lévy walk movement patterns. Our findings support the Lévy flight foraging hypothesis that posits that because Lévy walks can optimize search efficiencies, natural selection should have led to adaptations for Lévy walks. |
format | Online Article Text |
id | pubmed-5493898 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2017 |
publisher | The Royal Society Publishing |
record_format | MEDLINE/PubMed |
spelling | pubmed-54938982017-07-05 The Weierstrassian movement patterns of snails Reynolds, Andy Santini, Giacomo Chelazzi, Guido Focardi, Stefano R Soc Open Sci Biology (Whole Organism) Weierstrassian Lévy walks are the archetypical form of random walk that do not satisfy the central limit theorem and are instead characterized by scale invariance. They were originally regarded as a mathematical abstraction but subsequent theoretical studies showed that they can, in principle, at least, be generated by chaos. Recently, Weierstrassian Lévy walks have been found to provide accurate representations of the movement patterns of mussels (Mytilus edulis) and mud snails (Hydrobia ulvae) recorded in the laboratory under controlled conditions. Here, we tested whether Weierstrassian Lévy walks and chaos are present under natural conditions in intertidal limpets Patella vulgata and P. rustica, and found that both characteristics are pervasive. We thereby show that Weierstrassian Lévy walks may be fundamental to how molluscs experience and interact with the world across a wide range of ecological contexts. We also show in an easily accessible way how chaos can produce a wide variety of Weierstrassian Lévy walk movement patterns. Our findings support the Lévy flight foraging hypothesis that posits that because Lévy walks can optimize search efficiencies, natural selection should have led to adaptations for Lévy walks. The Royal Society Publishing 2017-06-07 /pmc/articles/PMC5493898/ /pubmed/28680656 http://dx.doi.org/10.1098/rsos.160941 Text en © 2017 The Authors. http://creativecommons.org/licenses/by/4.0/ Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited. |
spellingShingle | Biology (Whole Organism) Reynolds, Andy Santini, Giacomo Chelazzi, Guido Focardi, Stefano The Weierstrassian movement patterns of snails |
title | The Weierstrassian movement patterns of snails |
title_full | The Weierstrassian movement patterns of snails |
title_fullStr | The Weierstrassian movement patterns of snails |
title_full_unstemmed | The Weierstrassian movement patterns of snails |
title_short | The Weierstrassian movement patterns of snails |
title_sort | weierstrassian movement patterns of snails |
topic | Biology (Whole Organism) |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5493898/ https://www.ncbi.nlm.nih.gov/pubmed/28680656 http://dx.doi.org/10.1098/rsos.160941 |
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