Distinguishing between Lévy walks and strong alternative models

Ecology

Volumn 93, Issue 5, 2012, Pages 1228-1233

  Reynolds, A M ^a  

^a ROTHAMSTED RESEARCH   (United Kingdom)

Author keywords

Composite correlated random walks; Foraging; L vy walks; Movement patterns

Indexed keywords

ECOLOGICAL MODELING; FOOD AVAILABILITY; FORAGING BEHAVIOR; HONEYBEE; MOVEMENT; NUMERICAL MODEL; RANDOM WALK METHOD;

ANIMAL; ARTICLE; BIOLOGICAL MODEL; DEMOGRAPHY; ECOSYSTEM; MOVEMENT (PHYSIOLOGY);

ANIMALS; DEMOGRAPHY; ECOSYSTEM; MODELS, BIOLOGICAL; MOVEMENT;

ANIMALIA; APIS MELLIFERA;

EID: 84861377640     PISSN: 00129658     EISSN: None     Source Type: Journal    
DOI: 10.1890/11-1815.1     Document Type: Article

References (24)

1. Auger-Methe, M., C. Cassady St. Clair, M. A. Lewis, and A. E. Derocher. 2011. Sampling rate and misidentification of Levy and non-Levy movement patterns: comment. Ecology 92:1699-1701.
2. Benford, F. 1938. The law of anomalous numbers. Proceedings of the American Philosophical Society 78:551-572.
3. Benhamou, S. 2007. How many animals really do the Levy walk? Ecology 88:518-528.
4. Clauset, A., C. R. Shalizi, and M. E. J. Newman. 2009. Powerlaw distributions in empirical data. SIAM Review 51:661-703.
5. de Jager, M., F. J. Weissing, P. M. Herman, B. A. Nolet, and J. van de Koppel. 2011. Levy walks evolve through interaction between movement and environmental complexity. Science 332:1551-1553.
6. Edwards, A. M. 2011. Overturning conclusions of Levy flight movement patterns by fishing boats and foraging animals. Ecology 92:1247-1257.
7. Edwards, A. M., R. A. Phillips, N. W. Watkins, M. P. Freeman, E. J. Murphy, V. Afanasyev, S. V. Buldyrev, M. G. E. da Luz, E. P. Raposo, H. E. Stanley, and G. M. Viswanathan. 2007. Revisiting Levy walk search patterns of wandering albatrosses, bumblebees and deer. Nature 449:1044-1048. (Pubitemid 350017586)
8. Falconer, J. 2003. Fractal geometry-mathematical foundations and applications. John Wiley, New York, New York, USA.
9. Humphries, N. E., et al. 2010. Environmental context explains Levy and Brownian movement patterns of marine predators. Nature 465:1066-1069.
10. Levin, S. A. 1992. The problem of pattern and scale in ecology. Ecology 73:1943-1967. (Pubitemid 23399192)
11. Peng, C. K., J. M. Hausdorff, J. E. Mietus, S. Havlin, H. E. Stanley, and A. L. Goldberger. 1993. Long-range antocorrelations and non-Gaussian behaviour in the heartbeat. Physical Review Letters 70:1343-1346.
12. Petrovskii, S., A. Mashanova, and J. A. A. Jansen. 2011. Variation in individual walking behaviour creates the impression of a Levy flight. Proceedings of the National Academy of Sciences USA. http://dx.doi.org/10.1073/ pnas. 1015208108
13. Pietronero, L., E. Tosatti, V. Tosatti, and A. Vespignani. 2001. Explaining the uneven distribution of numbers in nature: the laws of Benford and Zipf. Physica A 293:297-304. (Pubitemid 32875436)
14. Plank, M. J., and E. A. Coding. 2009. Sampling rate and misidentification of Levy and non-Levy movement patterns. Ecology 90:3546-3553.
15. Reynolds, A. M., A. D. Smith, R. Menzel, U. Greggers, D. R. Reynolds, and J. R. Riley. 2007a. Displaced honey bees perform optimal scale-free search flights. Ecology 88:1955-1961. (Pubitemid 351345161)
16. Reynolds, A. M., A. D. Smith, D. R. Reynolds, N. L. Carreck, and J. L. Osborne. 2007b. Honeybees perform optimal scalefree searching flights when attempting to locate a food source. Journal of Experimental Biology 210:3763-3770. (Pubitemid 350206244)
17. Reynolds, A. M., J. L. Swain, A. D. Smith, A. P. Martin, and J. L. Osborne. 2009. Honeybees use a Levy flight search strategy and odour-mediated anemotaxis to relocate food sources. Behavioral Ecology and Sociobiology 64:115-123.
18. Shlesinger, M. F., and J. Klafter. 1986. Levy walks versus Levy flights. Pages 279-283 in H. E. Stanley and N. Ostrowski, editors. Growth and form. Martinus Nijhof Publishers, Amsterdam, The Netherlands.
19. Sims, D. W., et al. 2008. Scaling laws of marine predator search behaviour. Nature 451:1098-1102. (Pubitemid 351317439)
20. Sokal, R. R., and F. J. Rohlf. 1995. Biometry: the principles and practice of statistics in biological research. W. H. Freeman, New York, New York, USA.
21. Stearns, S. C., and P. Schmid-Hempel. 1987. Evolutionary insights should not be wasted. Oikos 49:118-125.
22. Turchin, P. 1998. Quantitative analysis of movement. Measuring and modelling population redistribution in animals and plants. Sinauer, Sunderland, Massachusetts, USA.
23. Viswanathan, G. M., V. Afanasyev, S. V. Buldyrev, E. J. Murphy, P. A. Prince, and H. E. Stanley. 1996. Levy flight search patterns of wandering albatrosses. Nature 381:413-415.
24. Viswanathan, G. M., S. V. Buldyrev, S. Havlin, M. G. E. da Luz, E. P. Raposo, and H. E. Stanley. 1999. Optimising the success of random searches. Nature 401:911-914.