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).
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Hall, P., Heyde, C. C.: Martingale limit theory and its application. New York: Academic Press 1980
Heyde, C. C.: On the survival of a gene represented in a founder population. J. Math. Biology 12, 91–99 (1981)
Heyde, C. C.: The effect of differential reproductive rates on the survival of a gene represented in a founder population. In: Essays in statistical science. (Gani, J., Hannan, E. J., eds.). J. Applied Prob. 19A (1982)
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Daley, D.J., Hall, P. & Heyde, C.C. Further results on the survival of a gene represented in a founder population. J. Math. Biology 14, 355–363 (1982). https://doi.org/10.1007/BF00275398
- Gene survival
- Founder population
- Selective advantage
- Differential reproductive rates
- Ultimate homozygosity
- Martingale methods