Migration dynamics of fish schools in heterothermal environments

Journal of Theoretical Biology

Volumn 193, Issue 2, 1998, Pages 215-231

  Niwa, Hiro Sato ^a  

^a FISHERIES RESEARCH AGENCY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ENVIRONMENTAL FACTOR; FISH; MIGRATION; SCHOOLING BEHAVIOR; TEMPERATURE EFFECT;

ANIMAL BEHAVIOR; ARTICLE; DIFFUSION; DYNAMICS; ECOLOGY; ENVIRONMENTAL TEMPERATURE; FISH; MATHEMATICAL MODEL; MEMORY; MIGRATION; NONHUMAN; PRIORITY JOURNAL; THERMOREGULATION;

ANIMALIA;

EID: 0032555279     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1006/jtbi.1998.0675     Document Type: Article

References (53)

1. ANDERSON, J. J. (1981). A stochastic model for the size of fish schools. Fishery Bull. 79, 315-323.
2. AOKI, I. (1980). An analysis of the schooling behavior of fish: internal organization and communication process. Bull. Ocean. Res. Inst. Univ. Tokyo 12, 1-65.
3. AOKI, I. & INAGAKI, T. (1988). Photographic observations on the behavior of Japanese anchovy Engraulis japonica at night in the sea. Mar. Ecol. Prog. Ser. 43, 213-221.
4. BAK, P. (1996). How Nature Works. New York: Springer-Verlag.
5. BALCHEN, J. G. (1972). Feedback control of schooling fish. In: Proceedings of the IFAC 5th World Congress, Part 1, 14.3. Pittsburgh: Instr. Soc. America.
6. BALCHEN, J. G. (1975). Mathematical modelling of fish behavior. Principles and applications. In: Proceedings of the IFAC 6th World Congress, 54.1. Pittsburgh: Instr. Soc. America.
7. BALCHEN, J. G. (1976). Principles of Migration in Fishes. Report STF 48 A76045, Foundation for Scientific and Industrial Research of The Norwegian Institute of Technology (SINTEF), Trondheim, Norway.
8. BALCHEN, J. G. (1979). Modeling, prediction, and control of fish behavior. In: Control and Dynamic Systems (Leondes, C. T., ed.), Vol.15, pp. 99-146. New York: Academic Press.
9. BREDER, C. M., JR. (1976). Fish schools as operational structures. Fishery Bull. 74, 471-502.
10. BUERKLE, U. (1983). First look at herring distributions with a bottom referencing underwater towed instrumentation vehicle 'Brutiv.' FAO Fish. Rep., No. 300, 125-130.
11. CATTANEO, C. (1958). Sur une forme de l'équation de la chaleur éliminant le paradoxe d'une propagation instantanée. Compt. Rend. (Paris) 247, 431-433.
12. DEANGELIS, D. L. & YEH, G. T. (1984). An introduction to modeling migratory behavior of fishes. In: Mechanisms of Migration in Fishes (McCleave, J. D., Arnold, G. P., Dodson, J. J. & Neill, W. H., eds), pp. 445-469. New York: Plenum Press.
13. DE GENNES, P. G. (1976). La percolation: un concept unificateur. La Recherche 7, 919-927.
14. DELBRÜCK, M. & REICHARDT, W. (1956). System analysis for the light growth reaction of Phycomyces. In: Cellular Mechanisms in Differentiation and Growth (Rudnick, D., ed.), pp. 3-44. Princeton: Princeton University Press.
15. DIZON, A. E., STEVENS, E. D., NEILL, W. H. & MAGNUSON, J. J. (1974). Sensitivity of restrained skipjack tuna (Katsuwonus pelamis) to abrupt increases in temperature. Comp. Biochem. Physiol. 49A, 291-299.
16. DOI, M. & EDWARDS, S. F. (1986). The Theory of Polymer Dynamics. New York: Oxford University Press.
17. DUSENBERY, D. B. (1989). Efficiency and the role of adaptation in klinokinesis. J. theor. Biol. 136, 281-293.
18. GOLDSTEIN, S. (1951). On diffusion by discontinuous movements and on the telegraph equation. Quat. J. Mech. Appl. Math. 4, 129-156.
19. GRAHAM, J. B. (1983). Heat transfer. In: Fish Biomechanics (Webb, P. W. & Weihs, D., eds), pp. 248-279. New York: Praeger Publications.
20. GRÜNBAUM, D. & OKUBO, A. (1994). Modelling social animal aggregations. In: Frontiers of Theoretical Biology. Lecture Notes in Biomathematics, Vol.100. (Levin, S. A., ed.), pp. 296-325. Berlin: Springer-Verlag.
21. HAKEN, H. (1983). Synergetics. An Introduction: Nonequilibrium Phase Transitions and Self-Organization in Physics, Chemistry and Biology, 3rd Edn. Berlin: Springer-Verlag.
22. HARA, I. (1986). Stock assessment of Japanese sardine in the waters off the southeast coast of Hokkaido using line transect method. Bull. Jap. Soc. Sci. Fish. 52, 69-73.
23. HODGKIN, A. L. & HUXLEY, A. F. (1952). A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol. 117, 500-544.
24. HOLMES, E. E. (1993). Are diffusion models too simple? A comparison with telegraph models of invasion. Am. Nat. 142, 779-795.
25. ICHIHARA, T., YONEMORI, T. & ASAI, H. (1975). Swimming behavior of a chum salmon, Oncorhynchus keta, on the southern migration off Etorofu Island, the southern Kurile Islands. Bull. Far. Seas Fish. Res. Lab. 13, 63-77 (in Japanese with English synopsis).
26. KAREIVA, P. M. & SHIGESADA, N. (1983). Analyzing insect movement as a correlated random walk. Oecologia 56, 234-238.
27. KRAMERS, H. A. (1940). Brownian motion in a field of force and the diffusion model of chemical reactions. Physica 7, 284-304.
28. KUBO, R. (1963). Stochastic Liouville equations. J. Math. Phys. 4, 174-183.
29. KUBO, R., TODA, M. & HASHITSUME, N. (1991). Statistical Physics II - Nonequilibrium Statistical Mechanics, 2nd Edn. Berlin: Springer-Verlag.
30. LARKIN, P. A. & WALTON, A. (1969). Fish school size and migration. J. Fish. Res. Bd. Canada 26, 1372-1374.
31. MACNAB, R. M. & KOSHLAND, D. E. (1972). The gradient-sensing mechanism in bacterial chemotaxis. Proc. Natl. Acad. Sci. U.S.A. 69, 2509-2512.
32. MORSE, P. M. & FESHBACH, H. (1953). Method of Theoretical Physics. New York: McGraw-Hill.
33. NEILL, W. H. (1979). Mechanisms of fish distribution in heterothermal environments. Amer. Zool. 19, 305-317.
34. NEILL, W. H. (1984). Behavioral enviroregulation's role in fish migration. In: Mechanisms of Migration in Fishes (McCleave, J. D., Arnold, G. P., Dodson, J. J. & Neill, W. H., eds), pp. 61-66. New York: Plenum Press.
35. NEILL, W. H., CHANG, R. K. C. & DIZON, A. E. (1976). Magnitude and ecological implications of thermal inertia in skipjack tuna, Katsuwonus pelamis (Linnaeus). Env. Biol. Fish. 1, 61-80.
36. NICOLIS, J. S. (1986). Dynamics of Hierarchical Systems. Berlin: Springer-Verlag.
37. NIWA, H.-S. (1994). Self-organizing dynamic model of fish schooling. J. theor. Biol. 171, 123-136.
38. NIWA, H.-S. (1996a). Newtonian dynamical approach to fish schooling. J. theor. Biol. 181, 47-63.
39. NIWA, H.-S. (1996b) Mathematical model for the size distribution offish schools. Computers Math. Applic. 32(11), 79-88.
40. OKUBO, A. (1980). Diffusion and Ecological Problem: Mathematical Models. Berlin: Springer-Verlag.
41. OKUBO, A. (1986). Dynamical aspects of animal grouping: swarms, schools, flocks and herds. Adv. Biophys. 22, 1-94.
42. OOSAWA, F. & NAKAOKA, Y. (1977). Behavior of micro-organisms as particle with internal state variables. J. theor. Biol. 66, 747-761.
43. OTHMER, H. G., DUNBAR, S. R. & ALT, W. (1988). Models of dispersal in biological systems. J. Math. Biol. 26, 263-298.
44. REYES, E., SKLAR, F. H. & DAY, J. W. (1994). A regional organism exchange model for simulating fish migration. Ecol. Modelling 74, 255-276.
45. SHIGESADA, N. & TERAMOTO, E. (1978). A consideration on the theory of environmental density. Jap. J. Ecol. 28, 1-8 (in Japanese with English synopsis).
46. STANLEY, H. E. (1971). Introduction to Phase Transitions and Critical Phenomena. Oxford: Oxford University Press.
47. STAUFFER, D. & AHARONY, A. (1991). Introduction to Percolation Theory, 2nd Edn. London: Taylor & Francis.
48. TODA, M., KUBO, R. & SAITO, N. (1992). Statistical Physics I - Equilibrium Statistical Mechanics, 2nd Edn. Berlin: Springer-Verlag.
49. UDA, M. (1960). Fisheries Oceanography. Tokyo: Koseisha-Koseikaku (in Japanese).
50. ULBRICH, C. W. (1961). Exact electric analogy to the Vernotte hypothesis. Phys. Rev. 123, 2001-2002.
51. U.S. FISH AND WILDLIFE SERVICE (1981). Standards for the Development of Habitat Suitability Index Models for Use with the Habitat Evaluation Procedures. 103 ESM release 1-81. Division of Ecological Services, U.S. Fish and Wildlife Service, DOI Washington, DC.
52. VERNOTTE, P. (1958). Les paradoxes de la théorie continue de l'équation de la chaleur. Compt. Rend. (Paris) 246, 3154-3155.
53. VICSEK, T., CZIRÓK, A., BEN-JACOB, E., COHEN, I. & SCHOCHET, O. (1995). Novel type of phase transition in a system of self-driven particles. Phys. Rev. Lett. 75, 1226-1229.