Does the Australian desert ant Melophorus bagoti approximate a Lévy search by an intrinsic bi-modal walk?

Journal of Theoretical Biology

Volumn 340, Issue , 2014, Pages 17-22

  Reynolds, Andy M ^a   Schultheiss, Patrick ^b   Cheng, Ken ^b  

^a ROTHAMSTED RESEARCH   (United Kingdom)

^b MACQUARIE UNIVERSITY   (Australia)

Author keywords

Desert ants; L vy walks; Optimality; Random walks; Searching behaviour

Indexed keywords

ANALYTICAL FRAMEWORK; ANT; FAMILIARITY; POWER LAW DISTRIBUTION; STEREOTYPIC BEHAVIOR;

ANT; ARTICLE; GAIT; MELOPHORUS BAGOTI; MOVEMENT PERCEPTION; NESTING; NONHUMAN; PERCEPTION; PRIORITY JOURNAL; SIMULATION;

DESERT ANTS; LÉVY WALKS; OPTIMALITY; RANDOM WALKS; SEARCHING BEHAVIOUR;

ANIMALS; ANTS; APPETITIVE BEHAVIOR; BEHAVIOR, ANIMAL; COMPUTER SIMULATION; DESERT CLIMATE; HOMING BEHAVIOR; MODELS, THEORETICAL; MOTOR ACTIVITY; MOVEMENT; ORIENTATION;

EID: 84884720236     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2013.09.006     Document Type: Article

References (34)

1. Benhamou S. How many animals really do the Lévy walk?. Ecology 2007, 88:518-528.
2. Bouchaud J.-P., Georges A. Anomalous diffusion in disordered media: statistical mechanisms, models and physical applications. Physics Reports 1990, 19:127-293.
3. Buchanan M. The mathematical mirror to animal nature. Nature 2008, 453:714-716.
4. Burnham K.P., Anderson D.R. Multimodel inference - understanding AIC and BIC in model selection. Sociological Methods and Research 2004, 33:261-304.
5. Clauset A., et al. Power-law distributions in empirical data. SIAM Review 2009, 51:661-703.
6. de Jager M., et al. Lévy walks evolve through interaction between movement and environmental complexity. Science 2011, 332:1551-1553. (See also correction 2011, Science 334: 1639-1639).
7. de Jager M., et al. Response to Comment on Lévy walks evolve through interaction between movement and environmental complexity. Science 2012, 335:918d.
8. Edwards A.M., et al. Revisiting Lévy walk search patterns of wandering albatrosses, bumblebees and deer. Nature 2007, 449:1044-1048.
9. Edwards A.M. Overturning conclusions of Lévy flight movement patterns by fishing boats and foraging animals. Ecology 2011, 926:1247-1257.
10. Fourcassié V., Traniello J.F.A. Food search behaviour in the ant Formica schaufussi (Hymenoptera, Formicidae): response of naïve foragers to protein and carbohydrate food. Animal Behaviour 1994, 48:69-79.
11. + T cells. Nature 2012, 486:545-548.
12. Hoffmann G. The search behavior of the desert isopod Hemilepistus reaumuri as compared with a systematic search. Behavioral Ecology and Sociobiology 1983, 13:81-92.
13. Humphries N.E., et al. Environmental context explains Lévy and Brownian movement patterns of marine predators. Nature 2010, 465:1066-1069.
14. Jansen V.A.A., et al. Comment on Lévy walks evolve through interaction between movement and environmental complexity. Science 2012, 335:918c.
15. Korobkova E., et al. From molecular noise to behavioural variability in a single bacterium. Nature 2004, 428:574-578.
16. Mitzenmacher M. A brief history of generative models for power law and lognormal distributions. Internet Mathematics 2004, 1:226-251.
17. Narendra A., et al. Search strategies of ants in landmark-rich habitats. Journal of Comparative Physiology A 2008, 194:929-938.
18. Reynolds A.M., et al. Displaced honeybees perform optimal scale-free search flights. Ecology 2007, 88:1955-1961.
19. Reynolds A.M., et al. Honeybees perform optimal scale-free searching flights when attempting to locate a food source. Journal of Experimental Biology 2007, 210:3763-3770.
20. Reynolds A.M. Optimal random Lévy-loop searching: new insights into the searching behaviours of central place foragers. Europhysics Letters 2008, 82. (article20001).
21. Reynolds A.M., Rhodes C.J. The Lévy flight paradigm: random search patterns and mechanisms. Ecology 2009, 90:877-887.
22. Reynolds A.M. Bridging the gulf between correlated random walks and Lévy walks: autocorrelation as a source of Lévy walk movement patterns. Journal of the Royal Society Interface 2010, 7:1753-1758.
23. Reynolds A.M. Distinguishing between Lévy walks and strong alternative models. Ecology 2012, 93:1228-1233.
24. Reynolds A.M. Selection pressures give composite correlated random walks Lévy walk characteristics. Journal of Theoretical Biology 2013, 332:117-122.
25. Reynolds A.M., Leprêtre L., Bohan D.A. Movement patterns of Tenebrio beetles confirm predicted correlated-random-walk, Lévy walk duality. Nature Scientific Reports 2013, in press.
26. Schultheiss P., Cheng K. Finding the nest: inbound searching behaviour in the Australian desert ant, Melophorus bagoti. Animal Behaviour 2011, 81:1031-1038.
27. Schultheiss P., Cheng K. Finding food: outbound searching behavior in the Australian desert ant Melophorus bagoti. Behavioral Ecology 2013, 24:128-135.
28. Schultheiss P., et al. Information content of visual scenes influences systematic search of desert ants. Journal of Experimental Biology 2013, 216:742-749.
29. Shlesinger M.F., Klafter J. Lévy walks versus Lévy flights. Growth and Form. Martinus Nijhof 1986, 279-283. Publishers, Amsterdam. H.E. Stanley, N. Ostrowski (Eds.).
30. Sims D.W., et al. Scaling laws of marine predator search behaviour. Nature 2008, 451:1098-1102.
31. Sokal R.R., Rohlf F.J. Biometry: The Principles and Practice of Statistics in Biological Research 1995, W. H. Freeman and Company, New York.
32. Travis J. Ecology: do wandering albatrosses care about math?. Science 2007, 318:742-743.
33. Wehner R., Srinivasan M.V. Searching behaviour of desert ants, genus Cataglyphis (Formicidae, Hymenoptera). Journal of Comparative Physiology A 1981, 142:315-338.
34. Wehner R., et al. Calibration processes in desert ant navigation: vector courses and systematic search. Journal of Comparative Physiology A 2002, 188:683-693.