Prog. Theor. Phys. Vol. 66 No. 3 (1981) pp. 1078-1080

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Letters

The Ising Model for Population Biology

Hirotsugu Matsuda

Department of Biology, Faculty of Science, Kyushu University, Fukuoka 812

(Received May 8, 1981)

Abstract:

The Ising model is introduced in population biology. The exact stationary distribution is obtained for the one-dimensional nearest-neighbor dispersal case in the presence of mutation and selection. Discussion is given for the feature of genetic correlation in general cases.

URL : http://ptp.ipap.jp/link?PTP/66/1078/
DOI : 10.1143/PTP.66.1078

References:

For the review of papers published before 1976:
J. Felsenstein, Ann. Rev. Genetics 10 (1976), 253.
J. F. C. Kingman, J. Appl. Prob. 14 (1977), 577.
T. Nagylaki, J. Math. Biol. 6 (1978), 375.
S. Sawyer and J. Felsenstein, J. Math. Biol. 11 (1981), 193.
For the review:
C. Domb and M. S. Green, eds., Phase Transitions and Critical Phenomena (Academic press), vol. 1 (1972); 2 (1972); 3 (1974);5A (1976); 5B (1976); 6 (1976).
J. Felsenstein, Amer. Nat. 109 (1975), 359.
K. Binder, Monte Carlo Methods in Statistical Physics, Topics in Current Physics 7 (Springer-Verlag, 1979).

Citing Article(s) :

Progress of Theoretical Physics Vol. 88 No. 6 (1992) pp. 1035-1049 :
Statistical Mechanics of Population

Hirotsugu Matsuda, Naofumi Ogita, Akira Sasaki and Kazunori Satō