Space dimension and scaling in fish school-size distributions

Journal of Physics A: Mathematical and General

Volumn 31, Issue 44, 1998, Pages

  Bonabeau, Eric ^a   Dagorn, Laurent ^b   Fréon, Pierre ^c  

^a SANTA FE INSTITUTE   (United States)

^b Institut de Recherche pour le Developpement Papeete   (French Polynesia)

^c INSTITUT DE RECHERCHE POUR LE DÉVELOPPEMENT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032491341     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/44/001     Document Type: Article

References (31)

1. Okubo A 1986 Adv. Biophys. 22 1
2. Anderson JJ 1981 US Fish. Bull. 79 315
3. Swartzman G 1991 Ecol. Model. 56 63
4. Gueron S and Levin SA 1995 Math. Biosci. 128 243
5. Aoki I 1982 Bull. Jap. Soc. Sci. Fish. 48 1081 Aoki I 1982 Bull. Jap. Soc. Sci. Fish. 52 1115 van Winkle W, Rose K A and Chambers R C 1993 Trans. Am. Fish. Soc. 122 397 Niwa H S 1994 J. Theor. Biol. 171 123 Seno H 1990 Ecol. Model. 51 217 Duffy D C and Wissel C 1988 Ecol. Model. 40 201
6. Aoki I 1982 Bull. Jap. Soc. Sci. Fish. 48 1081 Aoki I 1982 Bull. Jap. Soc. Sci. Fish. 52 1115 van Winkle W, Rose K A and Chambers R C 1993 Trans. Am. Fish. Soc. 122 397 Niwa H S 1994 J. Theor. Biol. 171 123 Seno H 1990 Ecol. Model. 51 217 Duffy D C and Wissel C 1988 Ecol. Model. 40 201
7. Aoki I 1982 Bull. Jap. Soc. Sci. Fish. 48 1081 Aoki I 1982 Bull. Jap. Soc. Sci. Fish. 52 1115 van Winkle W, Rose K A and Chambers R C 1993 Trans. Am. Fish. Soc. 122 397 Niwa H S 1994 J. Theor. Biol. 171 123 Seno H 1990 Ecol. Model. 51 217 Duffy D C and Wissel C 1988 Ecol. Model. 40 201
8. Aoki I 1982 Bull. Jap. Soc. Sci. Fish. 48 1081 Aoki I 1982 Bull. Jap. Soc. Sci. Fish. 52 1115 van Winkle W, Rose K A and Chambers R C 1993 Trans. Am. Fish. Soc. 122 397 Niwa H S 1994 J. Theor. Biol. 171 123 Seno H 1990 Ecol. Model. 51 217 Duffy D C and Wissel C 1988 Ecol. Model. 40 201
9. Aoki I 1982 Bull. Jap. Soc. Sci. Fish. 48 1081 Aoki I 1982 Bull. Jap. Soc. Sci. Fish. 52 1115 van Winkle W, Rose K A and Chambers R C 1993 Trans. Am. Fish. Soc. 122 397 Niwa H S 1994 J. Theor. Biol. 171 123 Seno H 1990 Ecol. Model. 51 217 Duffy D C and Wissel C 1988 Ecol. Model. 40 201
10. Aoki I 1982 Bull. Jap. Soc. Sci. Fish. 48 1081 Aoki I 1982 Bull. Jap. Soc. Sci. Fish. 52 1115 van Winkle W, Rose K A and Chambers R C 1993 Trans. Am. Fish. Soc. 122 397 Niwa H S 1994 J. Theor. Biol. 171 123 Seno H 1990 Ecol. Model. 51 217 Duffy D C and Wissel C 1988 Ecol. Model. 40 201
11. Duparcmeur Y L, Herrmann H J and Troadec J P 1995 J. Physique 15 119 Hemmingsson J 1995 J. Phys. A: Math. Gen. 28 4245 Vicsek T, Czirok A, Ben-Jacob E, Cohen I and Shochet O 1995 Phys. Rev. Lett. 75 1226 Shimoyama N, Sugawara K, Mizuguchi T, Hayakawa Y and Sano M 1996 Phys. Rev. Lett. 76 3870 Albano E V 1996 Phys. Rev. Lett. 77 2129 Toner J and Yu T 1995 Phys. Rev. Lett. 75 4326
12. Duparcmeur Y L, Herrmann H J and Troadec J P 1995 J. Physique 15 119 Hemmingsson J 1995 J. Phys. A: Math. Gen. 28 4245 Vicsek T, Czirok A, Ben-Jacob E, Cohen I and Shochet O 1995 Phys. Rev. Lett. 75 1226 Shimoyama N, Sugawara K, Mizuguchi T, Hayakawa Y and Sano M 1996 Phys. Rev. Lett. 76 3870 Albano E V 1996 Phys. Rev. Lett. 77 2129 Toner J and Yu T 1995 Phys. Rev. Lett. 75 4326
13. Duparcmeur Y L, Herrmann H J and Troadec J P 1995 J. Physique 15 119 Hemmingsson J 1995 J. Phys. A: Math. Gen. 28 4245 Vicsek T, Czirok A, Ben-Jacob E, Cohen I and Shochet O 1995 Phys. Rev. Lett. 75 1226 Shimoyama N, Sugawara K, Mizuguchi T, Hayakawa Y and Sano M 1996 Phys. Rev. Lett. 76 3870 Albano E V 1996 Phys. Rev. Lett. 77 2129 Toner J and Yu T 1995 Phys. Rev. Lett. 75 4326
14. Duparcmeur Y L, Herrmann H J and Troadec J P 1995 J. Physique 15 119 Hemmingsson J 1995 J. Phys. A: Math. Gen. 28 4245 Vicsek T, Czirok A, Ben-Jacob E, Cohen I and Shochet O 1995 Phys. Rev. Lett. 75 1226 Shimoyama N, Sugawara K, Mizuguchi T, Hayakawa Y and Sano M 1996 Phys. Rev. Lett. 76 3870 Albano E V 1996 Phys. Rev. Lett. 77 2129 Toner J and Yu T 1995 Phys. Rev. Lett. 75 4326
15. Duparcmeur Y L, Herrmann H J and Troadec J P 1995 J. Physique 15 119 Hemmingsson J 1995 J. Phys. A: Math. Gen. 28 4245 Vicsek T, Czirok A, Ben-Jacob E, Cohen I and Shochet O 1995 Phys. Rev. Lett. 75 1226 Shimoyama N, Sugawara K, Mizuguchi T, Hayakawa Y and Sano M 1996 Phys. Rev. Lett. 76 3870 Albano E V 1996 Phys. Rev. Lett. 77 2129 Toner J and Yu T 1995 Phys. Rev. Lett. 75 4326
16. Duparcmeur Y L, Herrmann H J and Troadec J P 1995 J. Physique 15 119 Hemmingsson J 1995 J. Phys. A: Math. Gen. 28 4245 Vicsek T, Czirok A, Ben-Jacob E, Cohen I and Shochet O 1995 Phys. Rev. Lett. 75 1226 Shimoyama N, Sugawara K, Mizuguchi T, Hayakawa Y and Sano M 1996 Phys. Rev. Lett. 76 3870 Albano E V 1996 Phys. Rev. Lett. 77 2129 Toner J and Yu T 1995 Phys. Rev. Lett. 75 4326
17. Bonabeau E and Dagorn L 1995 Phys. Rev. E 51 5220
18. Mantegna R N and Stanley H E 1994 Phys. Rev. Lett. 73 2946
19. Takayasu H, Nishikawa I and Tasaki H 1988 Phys. Rev. A 37 3110 Takayasu H 1989 Phys. Rev. Lett. 63 2563 Takayasu H, Provata A and Takayasu M 1990 Phys. Rev. A 42 7087 Takayasu H, Takayasu M, Provata A and Huber G 1991 J. Stat. Phys. 65 725
20. Takayasu H, Nishikawa I and Tasaki H 1988 Phys. Rev. A 37 3110 Takayasu H 1989 Phys. Rev. Lett. 63 2563 Takayasu H, Provata A and Takayasu M 1990 Phys. Rev. A 42 7087 Takayasu H, Takayasu M, Provata A and Huber G 1991 J. Stat. Phys. 65 725
21. Takayasu H, Nishikawa I and Tasaki H 1988 Phys. Rev. A 37 3110 Takayasu H 1989 Phys. Rev. Lett. 63 2563 Takayasu H, Provata A and Takayasu M 1990 Phys. Rev. A 42 7087 Takayasu H, Takayasu M, Provata A and Huber G 1991 J. Stat. Phys. 65 725
22. Takayasu H, Nishikawa I and Tasaki H 1988 Phys. Rev. A 37 3110 Takayasu H 1989 Phys. Rev. Lett. 63 2563 Takayasu H, Provata A and Takayasu M 1990 Phys. Rev. A 42 7087 Takayasu H, Takayasu M, Provata A and Huber G 1991 J. Stat. Phys. 65 725
23. Family F, Meakin P and Deutsch J M 1986 Phys. Rev. Lett. 57 727 Meakin P and Ernst M H 1988 Phys. Rev. Lett. 60 2503 Sorensen C M, Zhang H X and Taylor T W 1987 Phys. Rev. Lett. 59 363 Kolb M 1984 Phys. Rev. Lett. 53 1653 Vicsek T and Family F 1984 Phys. Rev. Lett. 52 1669 Edwards B F, Cai M and Han H 1990 Phys. Rev. A 41 5755
24. Family F, Meakin P and Deutsch J M 1986 Phys. Rev. Lett. 57 727 Meakin P and Ernst M H 1988 Phys. Rev. Lett. 60 2503 Sorensen C M, Zhang H X and Taylor T W 1987 Phys. Rev. Lett. 59 363 Kolb M 1984 Phys. Rev. Lett. 53 1653 Vicsek T and Family F 1984 Phys. Rev. Lett. 52 1669 Edwards B F, Cai M and Han H 1990 Phys. Rev. A 41 5755
25. Family F, Meakin P and Deutsch J M 1986 Phys. Rev. Lett. 57 727 Meakin P and Ernst M H 1988 Phys. Rev. Lett. 60 2503 Sorensen C M, Zhang H X and Taylor T W 1987 Phys. Rev. Lett. 59 363 Kolb M 1984 Phys. Rev. Lett. 53 1653 Vicsek T and Family F 1984 Phys. Rev. Lett. 52 1669 Edwards B F, Cai M and Han H 1990 Phys. Rev. A 41 5755
26. Family F, Meakin P and Deutsch J M 1986 Phys. Rev. Lett. 57 727 Meakin P and Ernst M H 1988 Phys. Rev. Lett. 60 2503 Sorensen C M, Zhang H X and Taylor T W 1987 Phys. Rev. Lett. 59 363 Kolb M 1984 Phys. Rev. Lett. 53 1653 Vicsek T and Family F 1984 Phys. Rev. Lett. 52 1669 Edwards B F, Cai M and Han H 1990 Phys. Rev. A 41 5755
27. Family F, Meakin P and Deutsch J M 1986 Phys. Rev. Lett. 57 727 Meakin P and Ernst M H 1988 Phys. Rev. Lett. 60 2503 Sorensen C M, Zhang H X and Taylor T W 1987 Phys. Rev. Lett. 59 363 Kolb M 1984 Phys. Rev. Lett. 53 1653 Vicsek T and Family F 1984 Phys. Rev. Lett. 52 1669 Edwards B F, Cai M and Han H 1990 Phys. Rev. A 41 5755
28. Family F, Meakin P and Deutsch J M 1986 Phys. Rev. Lett. 57 727 Meakin P and Ernst M H 1988 Phys. Rev. Lett. 60 2503 Sorensen C M, Zhang H X and Taylor T W 1987 Phys. Rev. Lett. 59 363 Kolb M 1984 Phys. Rev. Lett. 53 1653 Vicsek T and Family F 1984 Phys. Rev. Lett. 52 1669 Edwards B F, Cai M and Han H 1990 Phys. Rev. A 41 5755
29. Morgan M J 1988 J. Fish. Biol. 32 963
30. Dagorn L 1994 PhD Dissertation ENSA Rennes, France, unpublished
31. Sinclair A R E 1977 The African Buffalo (Chicago, IL: University of Chicago Press)