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  • 1
    Electronic Resource
    Electronic Resource
    The effect of variable environments on polymorphism at loci with several alleles I. A symmetric model (1981)
    Springer
    Journal of mathematical biology 13 (1981), S. 199-208 
    Details
    ISSN: 1432-1416
    Keywords: Population genetics ; Polymorphism ; Multiple alleles ; Geographic variation ; Temporal variation ; Symmetric selection
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Much of the extant polymorphism has been attributed to spatial and temporal variation among selection regimes. Analysis of models entailing two alleles at a single locus has demonstrated that polymorphism may result from variation among selection regimes which prescribe monomorphism if constant. This relationship is studied in the context of several alleles at a locus. One result which is not valid with only two alleles is that variation among selection regimes which specify polymorphic equilibria may lead to a stable monomorphic equilibrium. The analyses of temporal variation and total panmixia spatial variation among environments show that temporal variation allows the simultaneous stability of equilibrium configurations which cannot be simultaneously stable under total panmixia spatial variation (hard or soft selection). The principle that polymorphism is more readily maintained with spatial than temporal variation is invalidated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00275214
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  • 2
    Electronic Resource
    Electronic Resource
    The effect of variable environments on polymorphism at loci with several alleles II. Submultiplicative viabilities (1982)
    Springer
    Journal of mathematical biology 15 (1982), S. 293-303 
    Details
    ISSN: 1432-1416
    Keywords: Temporal variation ; Geographic variation ; Multiple alleles ; Population genetics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Circumstances assuring a unique stable equilibrium are investigated for a subdivided population with several alleles segregating at a single locus. For a broad class of selection regimes entailing heterozygote viabilities greater than the geometric mean of the corresponding homozygote viabilities, a stable fixation state precludes any other stable equilibria if either total-panmixia or temporal variation is operating. This extends known results for two alleles at a single locus and partially delimits when some of the bizarre behaviour engendered by multiple alleles may occur.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00275689
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    Paper (German National Licenses)
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