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Clumping effects in models of isolation by distance

  • Aidan Sudbury (a1)

Abstract

Individuals situated on the infinite line breed and produce offspring that independently migrate a distance that is a random variable depending on the number in each family. It is shown that under very general conditions the individuals in the nth generation will tend to form clumps.

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References

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[1] Malecot, G. (1969) The Mathematics of Heredity. Freeman, San Francisco.
[2] Felsenstein, J. (1975) A pain in the torus: some difficulties with models of isolation by distance. Amer. Natur. 109, 359368.
[3] Asmussen, S. and Kaplan, N. (1976) Branching random walks. Stoch. Proc. Appl. 4, 133.
[4] Clifford, P. and Sudbury, A. W. (1973) A model for spatial conflict. Biometrika 60, 581588.
[5] Moran, P. A. P. (1975) Wandering distributions and the electrophoretic profile. Theoret. Pop. Biol. 8, 318331.
[6] Kingman, J. F. C. (1976) Coherent random walks arising in some genetical models. Proc. R. Soc. London A 351, 1931.

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Clumping effects in models of isolation by distance

  • Aidan Sudbury (a1)

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