Signatures of active and passive optimized Lévy searching in jellyfish

Journal of the Royal Society Interface

Volumn 11, Issue 99, 2014, Pages

  Reynolds, Andy M ^a  

^a ROTHAMSTED RESEARCH   (United Kingdom)

Author keywords

Convection; Fast simulated annealing; Ideal free distributions; Jellyfish; L vy walks; Optimal searching

Indexed keywords

ALGORITHMS; ATMOSPHERIC BOUNDARY LAYER; BROWNIAN MOVEMENT; HEAT CONVECTION; MOLLUSCS; SHELLFISH; SIMULATED ANNEALING; STOCHASTIC SYSTEMS;

DISTRIBUTED RESOURCES; FAST SIMULATED ANNEALING; FREE DISTRIBUTION; JELLYFISH; MOVEMENT PATTERN; OPTIMAL SEARCHING; SELECTION PRESSURES; STOCHASTIC SEARCH ALGORITHMS;

GLOBAL OPTIMIZATION;

ALGORITHM; ANIMAL EXPERIMENT; ARTHROPOD; ARTICLE; BOUNDARY LAYER; CONTROLLED STUDY; JELLYFISH; LEVY WALK SEARCH; MONTE CARLO METHOD; NONHUMAN; OCTOPUS; PASSIVE MOVEMENT; RHIZOSTOMA OCTOPUS; SEA TURTLE; STOCHASTIC MODEL; TELEMETRY; ANIMAL; APPETITE; DIVING; PHYSIOLOGY; THEORETICAL MODEL; THERMODYNAMICS;

ALGORITHMS; ANIMALS; APPETITIVE BEHAVIOR; CONVECTION; DIVING; MODELS, THEORETICAL; SCYPHOZOA; THERMODYNAMICS;

EID: 84991948800     PISSN: 17425689     EISSN: 17425662     Source Type: Journal    
DOI: 10.1098/rsif.2014.0665     Document Type: Article

References (62)

1. Korobkova E, Emonet T, Vilar JMG, Shimizu TS, Cluzel P. 2004 From molecular noise to behavioural variability in a single bacterium. Nature 428, 574-578. (doi:10.1038/nature02404)
2. Reynolds AM, Smith AD, Menzel R, Greggers U, Reynolds DR, Riley JR. 2007 Displaced honeybees perform optimal scale-free search flights. Ecology 88, 1955-1961. (doi:10.1890/06-1916.1)
3. Reynolds AM, Smith AD, Reynolds DR, Carreck NL, Osborne JL. 2007 Honeybees perform optimal scalefree searching flights when attempting to locate a food source. J. Exp. Biol. 210, 3763-3770. (doi:10. 1242/jeb.009563)
4. Sims DW et al. 2008 Scaling laws of marine predator search behaviour. Nature 451, 1098-1102. (doi:10.1038/nature06518)
5. Humphries NE et al. 2010 Environmental context explains Lévy and Brownian movement patterns of marine predators. Nature 465, 1066-1069. (doi:10. 1038/nature09116)
6. de Jager M, Weissing FJ, Herman PM, Nolet BA, van de Koppel J. 2011 Lévy walks evolve through interaction between movement and environmental complexity. Science 332, 1551-1553. [Erratum in Science 2011 334, 1639-1639.] (doi:10.1126/science.1201187)
7. Harris TH et al. 2012 Generalized Lévy walks and the role of chemokines in migration of effector CD8+T cells. Nature 486, 545-548.
8. Hays GC et al. 2012 High activity and Lévy searches: jellyfish can search the water column like fish. Proc. R. Soc. B 279, 465-473. (doi:10.1098/rspb. 2011.0978)
9. Raichlen DA, Wood BM, Gordon AD, Mabulla AZP, Marlowe FW, Pontzer H. 2014 Evidence of Lévy walk foraging patterns in human hunter-gatherers. Proc. Natl Acad. Sci. USA 111, 728-733. (doi:10.1073/pnas.1318616111)
10. Bouchaud J-P, Georges A. 1990 Anomalous diffusion in disordered media: statistical mechanisms, models and physical applications. Phys. Rep. 195, 127-293. (doi:10.1016/0370-1573(90)90099-N)
11. Viswanathan GM, Buldyrev SV, Havlin S, da Luz MGE, Raposo EP, Stanley HE. 1999 Optimizing the success of random searches. Nature 401, 911-914. (doi:10.1038/44831)
12. Viswanathan GM, Raposo EP, da Luz MGE. 2008 Lévy flights and superdiffusion in the context of biological encounters and random searches. Phys. Life Rev. 5, 133-150. (doi:10.1016/j.plrev.2008.03.002)
13. Kirkpatrick S, Gelatt Jr CD, Vecchi MP. 1983 Optimization by simulated annealing. Science 220, 671-680. (doi:10.1126/science.220.4598.671)
14. Cěrný V. 1985 Thermodynamical approach to the traveling salesman problem: an efficient simulation algorithm. J. Optim. Theory Appl. 45, 41-51. (doi:10.1007/BF00940812)
15. de Sales M, Tsuzuki G, de Castro Martins T. 2014 Simulated annealing: strategies, potential uses and advantages. New York, NY: Nova Publishing.
16. Szu HH, Hartley RL. 1989 Fast simulated annealing. Phys. Lett. A 122, 157-973. (doi:10.1016/0375- 9601(87)90796-1)
17. Lasker R. 1978 The relations between oceanographic conditions and larval anchovy food in the California Current: identification of factors contributing to recruitment failure. Rapports et Procès-Verbaux des Réunions. Conseil International pour lExploration de la Mer. 173, 212-230.
18. Zikanov O, Slinn DN, Dhanak M. 2002 Turbulent convection driven by surface cooling in shallow water. J. Fluid Mech. 464, 81-111. (doi:10.1017/S0022112002001015)
19. Metropolis N, Rosenbluth AW, Rosenbluth MN, Teller AH, Teller E. 1953 Equation of state calculations by fast computing machines. J. Chem. Phys. 21, 1087-1092. (doi:10.1063/1.1699114)
20. Willis GE, Deardorff JW. 1976 A laboratory model of diffusion into the convective planetary boundary layer. Q. J. R. Meteorol. Soc. 102, 427-445. (doi:10. 1002/qj.49710243212)
21. Thomson DJ. 1987 Criteria for the selection of stochastic models of particle trajectories in turbulent flows. J. Fluid Mech. 180, 529-556. (doi:10.1017/S0022112087001940)
22. Luhar AK, Britter RE. 1989 A random walk model for dispersion in inhomogeneous turbulence in a convective boundary layer. Atmos. Environ. 23, 1911-1924. (doi:10.1016/0004-6981(89) 90516-7)
23. Rotach MW, Gryning S-E, Tassone C. 1996 A two-dimensional Lagrangian stochastic dispersion model for daytime conditions. Q. J. R. Meteorol. Soc. 122, 367-389. (doi:10.1002/qj. 49712253004)
24. Burnham KP, Anderson DR. 2004 Multimodal inference-understanding AIC and BIC in model selection. Sociol. Methods Res. 33, 261-304. (doi:10.1177/0049124104268644)
25. Clauset A, Shalizi CR, Newman MEJ. 2009 Powerlaw distributions in empirical data. SIAM Review 51, 661-703.
26. Sims DW, Righton D, Pitchford JW. 2007 Minimizing errors in identifying Lévy flight behaviour of organisms. J. Anim. Ecol. 76, 222-229. (doi:10. 1111/j.1365-2656.2006.01208.x)
27. Ferreira AS, Raposo EP, Viswanathan GM, da Luz MGE. 2012 The influence of the environment on Lévy random search efficiency: fractality and memory effects. Physica A 391, 3234-3246. (doi:10.1016/j.physa.2012.01.028)
28. Willis GE, Deardorff JW. 1978 A laboratory study of dispersion from an elevated source within a modelled convective planetary boundary-layer. Atmos. Environ. 12, 1305-1311. (doi:10.1016/0004-6981(78)90069-0)
29. Willis GE, Deardorff JW. 1981 A laboratory study of dispersion from a source in the middle of a convective mixed layer. Atmos. Environ. 15, 109-117. (doi:10.1016/0004-6981(81)90001-9)
30. Pope SB, Chen YL. 1990 The velocity-dissipation probability density function model for turbulent flows. Phys. Fluids A 2, 1437-1449. (doi:10.1063/1.857592)
31. Borgas MS, Sawford BL. 1994 Stochastic-equations with multifractal random increments for modeling turbulent dispersion. Phys. Fluids 6, 618-633.
32. Reynolds AM. 2010 Bridging the gulf between correlated random walks and Lévy walks: autocorrelation as a source of Lévy walk movement patterns. J. R. Soc. Interface 7, 1753-1758. (doi:10. 1098/rsif.2010.0292)
33. Brill R, Lutcavage M, Metzger G, Bushnell P, Arendt M, Lucy J, Watson C, Foley D. 2002 Horizontal and vertical movements of juvenile bluefin tuna (Thunnus thynnus) in relation to oceanographic conditions of the western North Atlantic, determined with ultrasonic telemetry. Fish Bull. 100, 155-167.
34. Hobson VJ, Righton D, Metcalfe JD, Hays GC. 2007 Vertical movements of North Sea cod. Mar. Ecol. Progr. Ser. 347, 101-110. (doi:10.3354/meps07047)
35. MacArthur RH, Pianka ER. 1966 On the optimal use of a patchy environment. Am. Nat. 100, 603-609. (doi:10.1086/282454)
36. Arai M. 1991 Attraction of Aurelia and Aequorea to prey. Hydrobiologia 216, 363-366. (doi:10.1007/BF00026487)
37. Reynolds AM, Schultheiss P, Cheng K. 2014 Does the Australian desert Melophorus bagoti approximate a Lévy search by an intrinsic bi-modal walk? J. Theor. Biol. 340, 17-22. (doi:10.1016/j.jtbi.2013.09.006)
38. Reynolds AM. 2008 Optimal random Lévy-loop searching: new insights into the searching behaviours of central-place foragers. Europhys. Lett. 82, 20001. (doi:10.1209/0295-5075/82/20001)
39. Reynolds AM, Swain JL, Smith AD, Martin AP, Osborne JL. 2009 Honeybees use a Lévy flight search strategy and odour-mediated anemotaxis to relocate food sources. Behav. Ecol. Sociobiol. 64, 115-123. (doi:10.1007/s00265-009-0826-2)
40. Dornhaus A, Chittka L. 2004 Why do honey bees dance? Behav. Ecol. Sociobiol. 55, 395-401. (doi:10.1007/s00265-003-0726-9)
41. Seeley TD, Buhrman SC. 2001 Nest-site selection in honeybees: how well do swarms implement the Best-of-N decision rule? Behav. Ecol. Sociobiol. 49, 416-427. (doi:10.1007/s002650000299)
42. Obsorne JL, Smith A, Clark SJ, Reynolds DR, Barron MC, Lim KS, Reynolds AM. 2013 The ontogeny of bumblebee flight trajectories: from naïve explorers to experienced foragers. PLoS ONE 8, e78681. (doi:10.1371/journal.pone. 0078681)
43. Dreisig H. 1995 Ideal free distributions of nectar foraging bumblebees. OIKOS 72, 161-172. (doi:10. 2307/3546218)
44. Fretwell SD, Lucas Jr HL. 1970 On territorial behavior and other factors influencing habitat distribution in birds. I. Theoretical development. Acta Biotheoret. 19, 16-36. (doi:10.1007/BF01601953)
45. Cosner C. 2005 A dynamic model for the ideal-free distribution as a partial differential equation. Theoret. Popul. Biol. 67, 101-108. (doi:10.1016/j. tpb.2004.09.002)
46. Bernstein C, Kacelnik A, Krebs JR. 1988 Individual decisions and the distribution of predators in a patchy environment. J. Anim. Ecol. 57, 1007-1026. (doi:10.2307/5108)
47. Lihoreau M, Raine NE, Reynolds AM, Stelzer RJ, Lim KS, Smith AD, Osborne JL, Chittka L. 2012 Harmonic radar tracking and motion sensitive cameras on flowers reveal how bumblebees optimise multidestination routes. PLoS Biol. 10, e1001392. (doi:10. 1371/journal.pbio.1001392)
48. Tu Y, Grinstein G. 2005 How white noise generates power-law switching in bacterial flagellar motors. Phys. Rev. Lett. 94, 208101. (doi:10.1103/PhysRevLett.94.208101)
49. Reynolds AM, Schultheiss P, Cheng K. 2013 Are Lévy flight patterns derived from the Weber-Fechner law in distance estimation? Behav. Ecol. Sociobiol. 67, 1219-1226. (doi:10.1007/s00265-013-1549-y)
50. Reynolds AM. Submitted. Are Lévy flight movement patterns in marine predators derived from turbulence cues? Proc. R. Soc. A.
51. Reynolds AM. 2014 Mussels realize Weierstrassian Lévy walks as composite correlated random walks. Sci. Rep. 4, 4409. (doi:10.1038/srep04409)
52. Purcell JE, Brown ED, Stokesbury KDE, Haldorson LH, Shirley TC. 2000 Aggregations of the jellyfish Aurelia labiate: abundance, distribution, association with age-0 wayeye Pollock, and behaviours promoting aggregation in Prince William Sound, Alaska, USA. Mar. Ecol. Progr. Ser. 195, 145-158. (doi:10.3354/meps195145)
53. Hamner WM, Schneider D. 1986 Regularly spaced rows of medusae in the Bering Sea: role of Langmuir circulation. Limnol. Oceanogr. 31, 171-177. (doi:10.4319/lo.1986.31.1.0171)
54. Larson RJ. 1992 Riding Langmuir circulations and swimming in circles: a novel form of clustering behaviour by the scyphomedusa Linuche unguiculata. Mar. Biol. 112, 229-235. (doi:10.1007/BF00702466)
55. Solomon TH, Lee TA, Fogleman MA. 2001 Resonant flights and transient superdiffusion in a timeperiodic, two-dimensional flow. Physica D 157, 40-53. (doi:10.1016/S0167-2789(01)00291-3)
56. Solomon TH, Gollub JP. 1988 Chaotic particle transport in time-dependent Rayleigh-Bénard convection. Phys. Rev. A 38, 6280-6286. (doi:10. 1103/PhysRevA.38.6280)
57. Solomon TH, Weeks ER, Swinney HL. 1993 Observation of anomalous diffusion and Lévy flights in a two-dimensional rotating flow. Phys. Rev. Lett. 71, 3975-3978. (doi:10.1103/PhysRevLett.71.3975)
58. Pasmanter RA. 1988 Anomalous diffusion and anomalous stretching in vortical flows. Fluid Dyn. Res. 3, 320-326. (doi:10.1016/0169-5983(88) 90085-8)
59. Solomon TH, Miller NS, Spohn CJL, Moeur JP. 2003 Lagrangian chaos: transport, coupling and phase separation. In EXPERIMENTAL CHAOS: 7th Experimental Chaos Conf., 26-29 August 2002, San Diego, CA, AIP Conf. Proc., 676, 195-206. (doi:10. 1063/1.1612213)
60. Einstein A. 1905 Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen. Annalen der Physik 17, 549-560. (doi:10.1002/andp.19053220806)
61. Einstein A. 1906 Zur Theorie der Brownschen Bewegung. Annalen der Physik 19, 549-560.
62. Turchin P. 1998 Quantitative analysis of movement: measuring and modelling population redistribution in animals and plants. Sunderland, MA: Sinauer Associates, Inc. Publishers.