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Further results on the survival of a gene represented in a founder population |
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| Authors: | D J Daley Peter Hall C C Heyde |
| Institution: | (1) Statistics Department, Institute of Advanced Studies, Australian National University, P. O. Box 4, 2600 Canberra, A.C.T., Australia;(2) Statistics Department, The Faculties, Australian National University, P. O. Box 4, 2600 Canberra, A.C.T., Australia;(3) CSIRO Division of Mathematics and Statistics, P. O. Box 1965, 2601 Canberra City, A.C.T., Australia |
| Abstract: | This paper is concerned with gene survival in a population which may increase without density dependence according to a generalization of the Moran model for haploid individuals. A selective advantage to one allele and the possibility of differential reproductive rates are allowed. Simple conditions are given for ultimate homozygosity to be certain and for the possibility of ultimate polymorphism. The results complement and extend those of Heyde (1981, 1982). |
| Keywords: | Gene survival Founder population Selective advantage Differential reproductive rates Ultimate homozygosity Polymorphism Martingale methods |
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