Glass Effect in Inbreeding-Avoidance Systems: Minimum Viable Population for Outbreeders

Journal of the Physical Society of Japan

Volumn 65, Issue 10, 1996, Pages 3379-3385

  Tainaka, Kei Ichi ^a   Itoh, Yoshiaki ^b  

^a IBARAKI UNIVERSITY   (Japan)

^b INSTITUTE OF STATISTICAL MATHEMATICS   (Japan)

Author keywords

Allee effect; Bottle neck effect; Glass transition; Habitat destruction; Inbreeding avoidance; Minimum viable population

Indexed keywords

EID: 0030352828     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.65.3379     Document Type: Article

References (58)

1. P. L. Fiedler and S. K. Jain: Conservation, Biology (Chapman and Hall. New York, 1992).
2. D. W. Schemske et al.: Ecology 75 (1994) 584.
3. J. D. Allan and A. S. Flecker: Bioscience 43 (1993) 32.
4. J. E. Williams et al.: Fisheries 13 (1988) 5.
5. K. Tainaka and Y. Itoh: Phys. Lett. A 187 (1994) 49.
6. G. E. Belovsky: Viable Populations for Conservation, ed. M. E. Soule (Cambridge Univ. Press, Cambridge, 1987) p. 35.
7. C. D. Thomas: Conserv. Biol. 4 (1990) 324.
8. D. S. Wilcovc, M. McMillan and K. C. Winston: Conserv. Biol. 7 (1903) 87.
9. R. F. Noss and D. D. Murphy: Conserv Biol. 9 (1995) 229.
10. M. E. Soule: Conservation Biology (Sinauer, Sunderland, 1986).
11. P. J. Edwards, R. M. May and N. R. Webb. Large-Scale Ecology and Conservation Biology (Backwell, Oxford, 1994).
12. E. O. Wilson: Sci. Am. 261 (1989) 60.
13. S. L. Pimm, H. L. Jones and J. Diamond: American Naturalists 132 (1988) 757
14. S. J. O'brien, W. S. Pan and L. Zhi. Nature 369 (1994) 179.
15. I. R. Franklin: Conservation Biology An Evolutionary-Ecological Perspective, ed. M. E. Soule and B. A. Wilcox (Sinauer, Sunderland, 1980) p. 135.
16. R. B. Harris and F. W. Allendorf: Conserv. Biol. 3 (1989) 181.
17. M. Sonle: Viable Populations for Conservation (Cambridge Univ. Press, Cambridge, 1987).
18. A L. Mallet et al.: Mar. Biol. 92 (1986) 457
19. R. C. Lacy: Conservation Biology, ed P. G. Fiedler and S. K. Jain (Chapman and Hall, New York, 1992) p. 277.
20. S. J. O'brien and J A. Knight: Nature 325 (1987) 758.
21. D W. Pfennig and P. W Sherman: Sci. Am. 272 (1995) 98.
22. P. G. Hepper: Kin Recognition (Cambridge Univ Press, Cambridge. 1991).
23. K. Tainaka and S. Fukazawa: J. Phys. Soc. Jpn. 61 (1992) 1891.
24. K. Tainaka: J. Phys. Soc. Jpn. 61 (1992) 4257.
25. K. Tainaka: Phys. Lett. A 176 (1993) 303.
26. K. Tainaka: J. Theor Biol. 166 (1994) 91.
27. K. Tainaka: Phys. Lett. A 207 (1995) 53.
28. Y. Itoh and K. Tainaka: Phys. Lett. A 189 (1994) 37.
29. F Schlogl: Z. Physik 253 (1972) 147.
30. T. M. Liggett: Interacting Particle Systems (Springer-Verlag, New York, 1985).
31. R. Durrett: Lecture Notes on Particle Systems and Percolation (Wadsworth and Brooka/Cole Advanced Books & Software, California, 1988).
32. N. Konno and M. Katori: J. Phys. Soc. Jpn. 59 (1991) 1581.
33. K. Tainaka: J. Phys. Soc. Jpn. 57 (1988) 2588.
34. K. Tainaka: Phys. Rev. Lett. 63 (1989) 2688.
35. K. Tainaka and Y. Itoh: Europhys. Lett. 15 (1991) 399.
36. H. Matsuda, N. Ogita, A. Sasaki and K. Sato: Prog. Theor. Phys. 88 (1992) 1035.
37. K. Sato, H. Matsuda and A. Sasaki: J. Math. Biol. 32 (1994) 251.
38. F. B. Livingstone: Southwestern J. Anthropol. 15 (1959) 361.
39. S. Koyama et al.: Aboriginal Australia (National Musium of Ethnology, Osaka, 1992) [in Japanese].
40. R. Broome: Aboriginal Australians (Allen & Unwin Pty. Ltd., North Sydney, 1992).
41. N. S. Goel and N. R. Dyn: Stochastic Model in Biology (Aca- demic Press, New York, 1974).
42. R. Lande: Science 241 (1988) 1455.
43. Y. Iwasa and H. Mochizuki: Res. Popul. Ecol. 30 (1988) 145.
44. Y. Itoh: Proc. Instit. Statst. Math. 30 (1983) 55 [in Japanese].
45. W. C. Allee et al.: Principles of Animal Ecology (Sanuders, London, 1949).
46. H. G. Andrewartha and L. C. Birch: The Distribution and Abundance of Animals (Univ. Chicago Press, Chicago, 1954).
47. D. G. Kendall: Ann. Math. Stat. 19 (1948) 1.
48. P. N. Pusey and W. Van Megen: Physica A 157 (1989) 705.
49. T. Odagaki and Y. Hiwatari: Phys. Rev. A 41 (1990) 929.
50. H. Lowen, J. P. Hansen and J. N. Roux: Phys. Rev. A 44 (1991) 1169.
51. R. Fisch, J. Gravner and D. Griffeath: Statistics and Computing 1 (1991) 23.
52. Y. Itoh: Prog. Theor. Phys. 78 (1987) 507.
53. Y. Itoh and J. E. Cohen: J. Phys. 27 (1994) 6383.
54. F. L. Black: Science 258 (1992) 1739.
55. R. C. Lacy: Conserv. Biol. 1 (1987) 143.
56. M. Ridley: Evolution (Blackwell Science Inc., Cambridge, 1993).
57. A. D. M. E. Osterhaus and E J. Vedder: Nature 335 (1988) 20.
58. S. J. O'brien et al.: Science 227 (1985) 1428.