Key behavioural factors in a self-organised fish school model

Annales Zoologici Fennici

Volumn 45, Issue 5, 2008, Pages 415-428

  Gautrais, Jacques ^a   Jost, Christian ^a   Theraulaz, Guy ^a  

^a Université Paul Sabatier   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BEHAVIOR; ECOSYSTEM MODELING; FISH; INTERSPECIFIC INTERACTION; LAGRANGIAN ANALYSIS; NUMERICAL METHOD; POPULATION DENSITY;

EID: 56749179509     PISSN: 0003455X     EISSN: None     Source Type: Journal    
DOI: 10.5735/086.045.0505     Document Type: Conference Paper

References (55)

1. Adioui, M., Arino, O., Smith, W. V. & Treuil, J. P. 2003: A mathematical analysis of a fish school model. - J. Differential Equations 188: 406-446.
2. Aoki, I. 1980: An analysis on the schooling behavior of fish: internal organization and communication process. - Bull. Ocean Res. Inst. Univ. Tokyo 12: 1-65.
3. Aoki, I. 1982: A simulation study on the schooling mechanism in fish. - Bulletin of the Japanese Society of Scientific Fisheries 48: 1081-1088.
4. Becco, C., Vandewalle, N., Delcourt, J. & Poncin, P. 2006: Experimental evidences of a structural and dynamical transition in fish school. - Physica A 367: 487-493.
5. Beecham, J. A. & Farnsworth, K. D. 1999: Animal group forces resulting from predator avoidance and competition minimization. - J. Theor. Biol. 198: 533-548.
6. Brillinger, D. R. 1997: A particle migrating randomly on a sphere. - J. Theor. Prob. 10: 429-443.
7. Caillol, J.-M. 2004: Random walks on hyperspheres of arbitrary dimensions. - J. Phys. A, Math. Gen. 37: 3077-3083.
8. Couzin, I. D., Krause, J., Franks, N. R. & Levin, S. A. 2005: Effective leadership and decision-making in animal groups on the move. - Nature 433: 513-516.
9. Couzin, I. D., Krause, J., James, R., Ruxton, G. D. & Franks, N. R. 2002: Collective memory and spatial sorting in animal groups. - J. Theor. Biol. 218: 1-11.
10. Fréon, P. & Misund, O. A. 1999: Dynamics of pelagic fish distribution and behaviour: effects on fisheries and stock assessment. - Fishing News Books, Blackwell Science, London.
11. Giske, J., Huse, G. & Fiksen, Ø. 1998: Modelling spatial dynamics of fish. - Reviews in Fish Biology and Fisheries 8: 57-91.
12. Grégoire, G., Chaté, H. & Tu, Y. 2003: Moving and staying together without a leader. - Physica D 181: 157-170.
13. Grimm, V. & Railsback, S. F. 2005: Individual-based modeling and ecology. - Princeton University Press.
14. Grünbaum, D. 1994: Translating stochastic density-dependent individual behavior with sensory constraints to an Eulerian model of animal swarming. - J. Math. Biol. 33: 139-161.
15. Grünbaum, D. 1998: Schooling as a strategy for taxis in a noisy environment. - Evol. Ecol. 12: 503-522.
16. Grünbaum, D., Viscido, S. & Parrish, J. K. 2004: Extracting interactive control algorithms from group dynamics of schooling fish, - In: Kumar, V., Leonard, N. E. & Morse, A. S. (eds.), Lecture notes in control and information sciences: 103-117. Springer-Verlag, Berlin.
17. Hamilton, W. D. 1971: Geometry for the selfish herd. - J. Theor. Biol. 31: 295-311.
18. Hammer, W. H. & Parrish, J. K. 1997: Is the sum of the parts equal to the whole: the conflict between individuality and group membership. - In: Parrish, J. K. & Hamner, W. M. (eds.), Animal groups in three dimensions: 1-13. Cambridge University Press.
19. Hoare, D. J., Couzin, I. D., Godin, G. J. & Krause, J. 2004: Context-dependent group size choice in fish. - Animal Behaviour 67: 155-164.
20. Huth, A. & Wissel, C. 1993: Analysis of the behavior and structure of fish schools by means of computer simulations. - Comments Theoretical Biology 3: 169-201.
21. Inada, Y. & Kawachi, K. 2002: Order and flexibility in the motion of fish schools. - J. Theor. Biol. 214: 371-387.
22. James, R., Bennett, P. G. & Krause, J. 2004: Geometry for mutualistic and selfish herds: the limited domain of danger. - J. Theor. Biol. 228: 107-113.
23. Keenleyside, M. H. A. 1955: Some aspects of the schooling behaviour of fish. - Behaviour 8: 183-248.
24. Koltes, K. H. 1985: Effects of sublethal copper concentrations on the structure and activity of Atlantic Silverside schools. - Trans. Am. Fish. Soc. 114: 413-422.
25. Levin, S. A. 1997: Conceptual and methodological issues in the modeling of biological aggregations. - In: Parrish, J. K. & Hamner, W. M. (eds.), Animal groups in three dimensions: 247-256. Cambridge University Press.
26. Levine, H. & Rappel, W.-J. 2000: Self-organization in systems of self-propelled particles. - Physical Review E 63: 017101.
27. Lombardo, T. G., Debenedetti, P. G. & Stillinger, F. H. 2006: Computational probes of molecular motion in the Lewis and Wahnström model of ortho-Terphenyl. - J. Chem. Phys. 125: 174507-174507.
28. Misund, O. A. 1993: Abundance estimation of fish schools based on a relationship between shool area and school biomass. - Aquat. Living Resour. 6: 235-241.
29. Misund, O. A., Coetzee, J., Fréon, P., Gardener, M., Olsen, K., Svellingen, I. & Hampton, I. 2003: Schooling behaviour of sardine Sardinops sagax in False Bay. - Afr. J. Mar. Sci. 25: 185-193.
30. Mogilner, A. & Edelstein-Keshet, L. 1996: Spatio-angular order in populations of self-aligning objects: formation of oriented patches. - Physica D 89: 346-367.
31. Mogilner, A., Edelstein-Keshet, L., Bent, L. & Spiros, A. 2003: Mutual interactions, potentials, and individual distance in a social aggregation. - J. Math. Biol. 47: 353-389.
32. Niwa, H.-S. 1996: Newtonian dynamical approach to fish schooling. - J. Theor. Biol. 181: 47-63.
33. Niwa, H.-S. 1998: Migration dynamics of fish schools in heterothermal environments. - J. Theor. Biol. 193: 215-231.
34. Parrish, J. K & Turchin, P. 1997: Individual decisions, traffic rules, and emergent pattern in schooling fish. - In: Parrish, J. K. & Hamner, W. M. (eds.), Animal groups in three dimensions: 126-142. Cambridge University Press.
35. Parrish, J. & Edelstein-Keshet, L. 1999: Complexity, pattern, and evolutionary trade-offs in animal aggregation. - Science 284: 99-101.
36. Parrish, J. K., Viscido, S. & Grünbaum, D. 2002: Self-organized fish schools: an examination of emergent properties. - Biol. Bull. 202: 296-305.
37. Partridge, B. L. & Pitcher, T. J. 1980: The sensory basis of fish schools: relative roles of lateral line and vision. - J. Comp. Physiol. 135: 315-325.
38. Patlak, C. S. 1953: Random walk with persistence and external bias. - Bulletin of Mathematical Biophysics 15: 311-338.
39. Perrin, F. 1928: Etude mathématique du mouvement brownien de rotation. - Annales scientifiques de l'ENS 45: 1-51.
40. Pitcher, T. J. 1983: Heuristic definitions of shoaling behaviour. - Animal Behaviour 31: 611-613.
41. Pitcher, T. J. & Parrish, J. K. 1993: Functions of shoaling behaviour in teleosts. - In: Pitcher, T. J. (eds.), Behaviour of teleost fishes: 363-439. Chapman & Hall, London.
42. Press, W. H., Teukolsky, W. A., Vetterling, W. T. & Flannery, B. P. 1992: Numerical recipes in C: the art of scientific computing, 2nd ed. - Cambridge University Press, Cambdrige, UK.
43. Radakov, D. 1973: Schooling in the ecology of fish. - Wiley, New York.
44. Reebs, S. G. 2001: Influence of body size on leadership in shoals of golden shiners, Notemigonus crysoleucas. - Behaviour 138: 797-809.
45. Romey, W. L. 1996: Individual differences make a difference in the trajectories of simulated schools of fish. - Ecol. Model. 92: 65-77.
46. Sfakiotakis, M., Lane, D. M. & Davies, J. B. C. 1999: Review of fish swimming modes for aquatic locomotion. - IEEE Journal of Oceanic Engineering 24: 237-252.
47. Shaw, E. & Tucker, A. 1965: The optomotor reaction of schooling carangid fishes. - Animal Behaviour 13: 330-336.
48. Suzuki, K., Takagi, T. & Hiraishi, T. 2003: Video analysis of fish schooling behavior in finite space using a mathematical model. - Fisheries Research 60: 3-10.
49. Tien, J. H., Levin, S. A. & Rubenstein, D. I. 2004: Dynamics of fish shoals: identifying key decision rules. - Evol. Ecol. Res. 6: 555-565
50. Toner, J. & Tu, Y. 1998: Flocks, herds and schools: a quantitative theory of flocking. - Phys. Rev. E 58: 4828-4858.
51. Topaz, C. M., Bertozzi, A. L. & Lewis, M. A. 2006: A nonlocal continuum model for biological aggregation. - Bull. Math. Biol. 68: 1-23.
52. Tu, Y. 2000: Phases and phase transitions in flocking systems. - Physica A 281: 30-40.
53. Vicsek, T., Czirók, A., Ben-Jacob, E., Cohen, I. & Shochet, O. 1995: Novel type of phase transition in a system of self-driven particles. - Physical Review Letters 75: 1226-1229.
54. Viscido, S. V. & Wethey, D. S. 2002: Quantitative analysis of fiddler crab flock movement: evidence for 'selfish herd' behaviour. - Animal Behaviour 63: 735-741.
55. Viscido, S. V., Parrish, J. K. & Grünbaum, D. 2005: The effet of population size and number of influential neighbors on the emergent properties of fish schools. - Ecological Modelling 183: 347-363.