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

Nature

Volumn 449, Issue 7165, 2007, Pages 1044-1048

  Edwards, Andrew M ^a,g   Phillips, Richard A ^a   Watkins, Nicholas W ^a   Freeman, Mervyn P ^a   Murphy, Eugene J ^a   Afanasyev, Vsevolod ^a   Buldyrev, Sergey V ^b,c   Da Luz, M G E ^d   Raposo, E P ^e   Stanley, H Eugene ^b   Viswanathan, Gandhimohan M ^f  

^a BRITISH ANTARCTIC SURVEY   (United Kingdom)

^b Boston University   (United States)

^c YESHIVA UNIVERSITY   (United States)

^d FEDERAL UNIVERSITY OF PARANÁ   (Brazil)

^e FEDERAL UNIVERSITY OF PERNAMBUCO   (Brazil)

^f FEDERAL UNIVERSITY OF ALAGOAS   (Brazil)

^g PACIFIC BIOLOGICAL STATION   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BEE; DEER; ENVIRONMENTAL MONITORING; FLIGHT ACTIVITY; FORAGING BEHAVIOR; OPTIMIZATION; PINNIPED; PLANKTON; POWER LAW DISTRIBUTION; PRIMATE; PROBABILITY DENSITY FUNCTION; SEABIRD; SPIDER; THEORETICAL STUDY;

ARTICLE; BIOLOGY; BUMBLEBEE; DEER; ECOSYSTEM; FLIGHT; INFORMATION; LAW; MONITORING; NONHUMAN; PRIORITY JOURNAL; STRENGTH; TIME; WEIGHT;

ANIMALIA; ATELES SP.; CERVIDAE; DIOMEDEA EXULANS; HALICHOERUS GRYPUS; RANGIFER TARANDUS;

EID: 35548973986     PISSN: 00280836     EISSN: 14764687     Source Type: Journal    
DOI: 10.1038/nature06199     Document Type: Article

References (30)

1. Turchin, P. Quantitative Analysis of Movement: Measuring and Modeling Population Redistribution in Animals and Plants (Sinauer, Sunderland, Massachusetts, 1998).
2. Shlesinger, M. F. Search research. Nature 443, 281-282 (2006).
3. Shlesinger, M. F., Zaslavsky, G. M. & Frisch, U. (eds) Lévy Flights and Related Topics in Physics (Springer, Berlin, 1995).
4. ben-Avraham, D. & Havlin, S. Diffusion and Reactions in Fractals and Disordered Systems (Cambridge Univ. Press, Cambridge, 2000).
5. Bardou, F., Bouchaud, J.-P., Aspect, A. & Cohen-Tannoudji, C. Lévy Statistics and Laser Cooling: How Rare Events Bring Atoms to Rest (Cambridge Univ. Press, Cambridge, 2002).
6. Ott, A., Bouchaud, J. P., Langevin, D. & Urbach, W. Anomalous diffusion in "living polymers": a genuine Lévy flight? Phys. Rev. Lett. 65, 2201-2204 (1990).
7. Viswanathan, G. M. et al. Lévy flight search patterns of wandering albatrosses. Nature 381, 413-415 (1996).
8. Metzler, R. & Klafter, J. The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics. J. Phys. A: Math. Gen. 37, R161-R208 (2004).
9. Klafter, J. & Sokolov, I. M. Anomalous diffusion spreads its wings. Phys. World 18, 29-32 (2005).
10. Viswanathan, G. M. et al. Optimizing the success of random searches. Nature 401, 911-914 (1999).
11. Reynolds, A. M. Scale-free movement patterns arising from olfactory-driven foraging. Phys. Rev. E 72, 041928 (2005).
12. Bénichou, O., Loverdo, C., Moreau, M. & Voituriez, R. Two-dimensional intermittent search processes: An alternative to Lévy flight strategies. Phys. Rev. E 74, 020102(R) (2006).
13. Mårell, A., Ball, J. P. & Hofgaard, A. Foraging and movement paths of female reindeer: insights from fractal analysis, correlated random walks, and Lévy flights. Can. J. Zool. 80, 854-865 (2002).
14. Bartumeus, F., Peters, F., Pueyo, S., Marrasé, C. & Catalan, J. Helical Lévy walks: Adjusting searching statistics to resource availability in microzooplankton. Proc. Natl Acad. Sci. USA 100, 12771-12775 (2003).
15. Austin, D., Bowen, W. D. & McMillan, J. I. Intraspecific variation in movement patterns: modeling individual behaviour in a large marine predator. Oikos 105, 15-30 (2004).
16. Ramos-Fernández, G. et al. Lévy walk patterns in the foraging movements of spider monkeys (Ateles geoffroyi). Behav. Ecol. Sociobiol. 55, 223-230 (2004).
17. Bertrand, S., Burgos, J. M., Gerlotto, F. & Atiquipa, J. Lévy trajectories of Peruvian purse-seiners as an indicator of the spatial distribution of anchovy (Engraulis ringens). ICES J. Mar. Sci. 62, 477-482 (2005).
18. Hilborn, R. & Mangel, M. The Ecological Detective: Confronting Models with Data (Vol. 28, Monographs in Population Biology, Princeton Univ. Press, New Jersey, 1997).
19. Burnham, K. P. & Anderson, D. R. Model Selection and Multimodel Inference: A Practical Information-Theoretic Approach 2nd edn (Springer, New York, 2002).
20. Johnson, J. B. & Omland, K. S. Model selection in ecology and evolution. Trends Ecol. Evol. 19, 101-108 (2004).
21. Afanasyev, V. A miniature storing activity recorder for seabird species with 80 bytes of memory for data storage. NERC Tech. 1, 4-7 (1993).
22. Shlesinger, M. F. & Klafter, J. Lévy walks versus Lévy flights. In On Growth and Form: Fractal and Non-Fractal Patterns in Physics (eds Stanley, H. E. & Ostrowsky, N.) 279-283 (Martinus Nijhoff Publishers, Dordrecht, 1986).
23. Newman, M. E. J. Power laws, Pareto distributions and Zipf's law. Contemp. Phys. 46, 323-351 (2005).
24. Sims, D. W., Righton, D. R. & Pitchford, J. W. Minimizing errors in identifying Lévy flight behaviour of organisms. J. Anim. Ecol. 76, 222-229 (2007).
25. Pueyo, S. & Jovani, R. Comment on "A keystone mutualism drives pattern in a power function". Science 313, 1739c (2006).
26. Weimerskirch, H., Gault, A. & Cherel, Y. Prey distribution and patchiness: factors in foraging success and efficiency of wandering albatrosses. Ecology 86, 2611-2622 (2005).
27. Focardi, S., Marcellini, P. & Montanaro, P. Do ungulates exhibit a food density threshold? A field study of optimal foraging and movement patterns. J. Anim. Ecol. 65, 606-620 (1996).
28. Heinrich, B. Resource heterogeneity and patterns of movement in foraging bumblebees. Oecologia 40, 235-245 (1979).
29. Sokal, R. R. & Rohlf, F. J. Biometry: The Principles and Practice of Statistics in Biological Research 3rd edn (W. H. Freeman and Company, New York, 1995).
30. Pueyo, S. Diversity: between neutrality and structure. Oikos 112, 392-405 (2006).