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  • 1
    Electronic Resource
    Electronic Resource
    On the survival of a gene represented in a founder population (1982)
    Springer
    Journal of mathematical biology 12 (1982), S. 91-99 
    Details
    ISSN: 1432-1416
    Keywords: Gene survival ; Founder population ; Moran model ; Balanced polymorphism ; Ultimate homozygosity ; Martingale methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Gene survival in a population which increases without density dependence is considered using a generalization of the Moran model for haploid individuals. It is shown that situations where ultimate homozygosity is certain and where there is a non-zero probability of balanced polymorphism are both possible. Necessary and sufficient conditions in terms of the mean of the population growth distribution are given which determine which of these situations holds.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00275205
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  • 2
    Electronic Resource
    Electronic Resource
    Further results on the survival of a gene represented in a founder population (1982)
    Springer
    Journal of mathematical biology 14 (1982), S. 355-363 
    Details
    ISSN: 1432-1416
    Keywords: Gene survival ; Founder population ; Selective advantage ; Differential reproductive rates ; Ultimate homozygosity ; Polymorphism ; Martingale methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: 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).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00275398
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    Paper (German National Licenses)
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