Deterministic walks with inverse-square power-law scaling are an emergent property of predators that use chemotaxis to locate randomly distributed prey

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 78, Issue 1, 2008, Pages

  Reynolds, A M ^a  

^a ROTHAMSTED RESEARCH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONFORMAL MAPPING; INVERSE PROBLEMS;

AMERICAN PHYSICAL SOCIETY (APS); COGNITIVE MAPS; EMERGENT PROPERTY; MICROZOOPLANKTON; MOVEMENT PATTERNS; NUMERICAL SIMULATIONS; POWER LAW SCALING; RANDOMLY DISTRIBUTED; SEARCHING STRATEGY; STILL WATER;

BIOCHEMISTRY;

EID: 47749102452     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.011906     Document Type: Article

References (26)

1. G. M. Viswanathan, V. Afanasyev, S. V. Buldyrev, E. J. Murphy, P. A. Prince, and H. E. Stanley, Nature NATUAS 0028-0836 10.1038/381413a0 381, 413 (1996).
2. M. Levandowsky, B. S. White, and F. L. Schuster, Acta Protozool. ACPZAU 0065-1583 36, 237 (1997).
3. R. P. D. Atkinson, C. J. Rhodes, D. W. MacDonald, and R. M. Anderson, Oikos OIKSAA 0030-1299 10.1034/j.1600-0706.2002.980114.x 98, 134 (2002).
4. F. Bartumeus, F. Peters, S. Pueyo, C. Marrasé, and J. Catalan, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 100, 1277 (2003).
5. A. M. Reynolds and M. A. Frye, PLoS ONE ZZZZZZ 1932-6203 4, e354 (2007).
6. A. M. Reynolds, A. D. Smith, R. Menzel, U. Greggers, D. R. Reynolds, and J. R. Riley, Ecology ECOLAR 0012-9658 10.1890/06-1916.1 88, 1955 (2007).
7. A. M. Reynolds, A. D. Smith, D. R. Reynolds, N. L. Carreck, and J. L. Osborne, J. Exp. Biol. JEBIAM 0022-0949 10.1242/jeb.009563 210, 3763 (2007).
8. D. W. Sims, E. J. Southall, N. E. Humphries, G. C. Hays, C. J. A. Bradshaw, J. W. Pitchford, A. James, M. Z. Ahmed, A. S. Brierley, M. A Hindell, D. Moritt, M. K. Musyl, D. Righton, E. L. C. Shepard, V. J. Wearmouth, R. P. Wilson, M. J. Witt, and J. D. Metcalfe, Nature NATUAS 0028-0836 10.1038/nature06518 451, 1098 (2008).
9. A. M. Edwards, 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, Nature NATUAS 0028-0836 10.1038/nature06199 449, 1044 (2007).
10. D. W. Sims, D. Righton, and J. W. Pitchford, J. Anim. Ecol. JAECAP 0021-8790 10.1111/j.1365-2656.2006.01208.x 76, 222 (2007).
11. S. A. Levin, Ecology ECOLAR 0012-9658 10.2307/1941447 73, 1943 (1992).
12. D. Boyer, G. Ramos-Fernandez, O. Miramontes, J. L. Mateos, G. Cocho, H. Larralde, H. Ramos, and F. Rojas, Proc. R. Soc. London, Ser. B PRLBA4 0962-8452 10.1098/rspb.2005.3462 273, 1743 (2006).
13. G. Ramos-Fernandez, J. L. Mateos, O. Miramontes, G. Cocho, G. Larralde, and B. Ayala-Orozco, Behav. Ecol. Sociobiol. BESOD6 0340-5443 10.1007/s00265-003-0700-6 55, 223 (2004).
14. M. C. Santos, D. Boyer, O. Miramontes, G. M. Viswanathan, E. P. Raposo, J. L. Mateos, and M. G. E. da Luz, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.061114 75, 061114 (2007).
15. J. A. Wiens, T. O. Crist, K. A. With, and B. T. Milne, Ecology ECOLAR 0012-9658 76, 66 (1995).
16. A. Guy, D. A. Bohan, S. J. Powers, and A. M. Reynolds, Anim. Behav. (to be published).
17. A. M. Reynolds, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/79/ 30006 79, 30006 (2007).
18. A. M. Reynolds, D. R. Reynolds, A. D. Smith, G. P. Svensson, and C. Löfstedt, J. Theor. Biol. JTBIAP 0022-5193 10.1016/j.jtbi.2006.10.007 245, 141 (2007).
19. A. M. Reynolds, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.041928 72, 041928 (2005).
20. C. M. Martel, J. Exp. Mar. Biol. Ecol. JEMBAM 0022-0981 10.1016/j.jembe.2006.03.006 335, 210 (2006).
21. C. K. Peng, J. M. Hausdorff, J. E. Mietus, S. Havlin, H. E. Stanley, and A. L. Goldberger, in Levy Flights and Related Topics in Physics, edited by, G. M. Zaslavskii, M. E. Shlesinger, and, U. Frisch, (Springer-Verlag, Berlin, 1995).
22. S. Benhamou, Ecology ECOLAR 0012-9658 10.1890/06-1769.1 88, 1962 (2007).
23. A. M. Reynolds, Ecology (to be published).
24. G. M. Viswanathan, S. V. Buldyrev, S. Havlin, M. G. E. da Luz, E. P Raposo, and H. E. Stanley, Nature NATUAS 0028-0836 10.1038/44831 401, 911 (1999).
25. G. Bengtsson, A. Erlandsson, and S. Rundgren, Soil Biol. Biochem. ZZZZZZ 0038-0717 20, 25 (1988).
26. G. Bengtsson, K. Hedlund, and S. Rundgren, J. Chem. Ecol. 17, 2113 (1991).