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Optimizing the success of random searches.
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“However, much foraging in water, by both humans and other primates, is conducted in the shallows and at low speeds of locomotion that include elements of turning, as befits searching for cryptic or hidden foods within a patch.”
From The energy costs of wading in water (2014) · cites this paper as Viswanathan et al., 1999
In the citing paper
“while in reality wading probably tends to consist of (a) small steps as both a response to moving through a more viscous medium and the advantage that slower locomotion affords when searching within foraging patches (Viswanathan et al., 1999), (b) some degree of turning to remain within a foraging patch and respond to cues about food location.”
From The energy costs of wading in water (2014) · cites this paper as Viswanathan et al., 1999
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Research works printed but not linked: 20
- Tsallis,C. Lévy distributions. Phys. World 10, 42–45 (1997). · DOI
- Schlesinger,M. F., Zaslavsky,G. M. & Frisch,U. (eds) Lévy Flights and Related Topics in Physics (Springer, Berlin, 1995). · DOI
- Levandowsky,M., Klafter,J. & White,B. S. Swimming behavior and chemosensory responses in the protistan microzooplankton as a function of the hydrodynamic regime. Bull. Mar. Sci. 43, 758–763 (1988).
- Schuster,F. L. & Levandowsky,M. Chemosensory responses of Acanthamoeba castellani: Visual analysis of random movement and responses to chemical signals. J. Eukaryotic Microbiol. 43, 150–158 (1996). · DOI
- Cole,B. J. Fractal time in animal behaviour: The movement activity of Drosophila. Anim. Behav. 50, 1317–1324 (1995). · DOI
- Viswanathan,G. M. et al. Lévy flight search patterns of wandering albatrosses. Nature 381, 413–415 (1996). · DOI
- Shlesinger,M. F. & Klafter,J. in On Growth and Form (eds Stanley, H. E. & Ostrowsky, N.) 279–283 (Nijhoff, Dordrecht, 1986). · DOI
- Berkolaiko,G., Havlin,S., Larralde,H. & Weiss,G. H. Expected number of distinct sites visited by N discrete Lévy flights on a one-dimensional lattice. Phys. Rev. E 53, 5774–5778 (1996). · DOI
- Berkolaiko,G. & Havlin,S. Territory covered by N Lévy flights on d-dimensional lattices. Phys. Rev. E 55, 1395–1400 (1997). · DOI
- Larralde,H., Trunfio,P., Havlin,S., Stanley,H. E. & Weiss,G. H. Territory covered by N diffusing particles. Nature 355, 423–426 (1992). · DOI
- Larralde,H., Trunfio,P., Havlin,S., Stanley,H. E. & Weiss,G. H. Number of distinct sites visited by N random walkers. Phys. Rev. A 4, 7128–7138 (1992). · DOI
- Szu, H. in Dynamic Patterns in Complex Systems (eds Kelso, J. A. S., Mandell, A. J. & Shlesinger, M. F.) 121–136 (World Scientific, Singapore, 1988).
- Mantegna,R. N. & Stanley,H. E. Stochastic process with ultra-slow convergence to a gaussian: The truncated Lévy flight. Phys. Rev. Lett. 73, 2946–2949 (1994). · DOI
- Shlesinger,M. F. & Klafter,J. Comment on “Accelerated diffusion in Josephson junctions and related chaotic systems”. Phys. Rev. Lett. 54, 2551 (1985). · DOI
- Heinrich,B. Resource heterogeneity and patterns of movement in foraging bumble-bees. Oecologia 40, 235–245 (1979). · DOI
- 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). · DOI
- Berg,H. C. Random Walks in Biology (Princeton Univ. Press, Princeton, 1983).
- Kot,M., Lewis,M. & van der Driessche,P. Dispersal data and the spread of invading organisms. Ecology 77, 2027–2042 (1996). · DOI
- Schulman,L. S. Time's Arrows and Quantum Measurement (Cambridge Univ. Press, Cambridge, 1997). · DOI
- Sugihara,G. & May,R. Applications of fractals in ecology. Trends Ecol. Evol. 5, 79–86 (1990). · DOI
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Metadata
- Authors
- Viswanathan, G. M., Buldyrev, S. V., Havlin, S., da Luz, M. G. E., Raposo, E. P., & Stanley, H. E.
- Venue
- Nature
- Published
- 1999-10
- Volume
- 401
- Issue
- 6756
- Pages
- 911-914
- ISSN
- 0028-0836
- 1476-4687
- Cited by
- 1,359
- References
- 0
- Language
- en
- Licence
- www.springer.com/tdm (tdm)
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