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  • 1
    Electronic Resource
    Electronic Resource
    [s.l.] : Nature Publishing Group
    Nature 447 (2007), S. 469-472 
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] Recent theoretical studies of selection in finite structured populations have worked with one of two measures of selective advantage of an allele: fixation probability and inclusive fitness. Each approach has its own analytical strengths, but given certain assumptions they provide equivalent ...
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  • 2
    Electronic Resource
    Electronic Resource
    [s.l.] : Nature Publishing Group
    Nature 428 (2004), S. 611-612 
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] In thinking about the evolution of cooperative behaviour, there is one main stumbling block: that cooperative individuals can be exploited by ‘defectors’, who benefit from cooperation while avoiding the costs that it entails. Solutions to this problem typically find ways for cooperative ...
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  • 3
    Electronic Resource
    Electronic Resource
    [s.l.] : Nature Publishing Group
    Nature 284 (1980), S. 448-449 
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] For simplicity we consider one-dimensional models, and we suppose that the habitat consists of 2M+1 discrete patches placed round a circle and labelled -M, ..., -1, 0, 1, ..., M In our first model we suppose that there is one mated pair in each patch, which produces k offspring and then dies. Male ...
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of mathematical biology 34 (1996), S. 654-674 
    ISSN: 1432-1416
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract My purpose here is to provide a coherent account of inclusive fitness techniques, accessible to a mathematically literate graduate student in evolutionary biology, and to relate these to standard one-locus genetic models. I begin in Sect. 2 with a general formulation of evolutionary stability; in Sect. 3 and Sect. 4 I interpret the basic stability conditions within genetic and inclusive fitness models. In Sect. 5 I extend these concepts to the case of a class-structured population, and in Sect. 6 I illustrate these notions with a sex ratio example. In Sect. 7 I give a proof of the result that under additive gene action and weak selection, an inclusive fitness argument is able to verify an important stability condition (2.5) for one-locus genetic models. Most of these results have been published.
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Journal of mathematical biology 34 (1996), S. 654-674 
    ISSN: 1432-1416
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract.  My purpose here is to provide a coherent account of inclusive fitness techniques, accessible to a mathematically literate graduate student in evolutionary biology, and to relate these to standard one-locus genetic models. I begin in Sect. 2 with a general formulation of evolutionary stability; in Sect. 3 and Sect. 4 I interpret the basic stability conditions within genetic and inclusive fitness models. In Sect. 5 I extend these concepts to the case of a class-structured population, and in Sect. 6 I illustrate these notions with a sex ratio example. In Sect. 7 I give a proof of the result that under additive gene action and weak selection, an inclusive fitness argument is able to verify an important stability condition (2.5) for one-locus genetic models. Most of these results have been published.
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Evolutionary ecology 8 (1994), S. 61-69 
    ISSN: 1573-8477
    Keywords: sibmating ; inbreeding depression ; haplodiploid ; inclusive fitness ; one-locus genetic
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Summary We construct an inclusive fitness model of the relative selective advantage of sibmating and outbreeding behaviour, under the assumption that inbred offspring pay a fitness penalty. We are particularly interested in the question of whether such inbreeding depression is enough to generate a stable phenotypic polymorphism, with both kinds of breeding observed. The model predicts that, under diploidy, such a polymorphism is never found, but under haplodiploidy, it exists for a narrow range of parameter values. The inclusive fitness argument is technically interesting because care must be taken with reproductive values. We also present a corrected version of a one-locus genetic model for sibmating and find that the inclusive fitness and genetic models give identical results when selection is weak.
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Evolutionary ecology 11 (1997), S. 245-247 
    ISSN: 1573-8477
    Keywords: inbreeding depression ; inclusive fitness ; relatedness ; sex ratio
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Evolutionary ecology 7 (1993), S. 306-308 
    ISSN: 1573-8477
    Keywords: sex ratio ; sib mating ; local mate competition ; chalcidoid wasp
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Summary Experimental work of Nadel and Luck (1992) on a chalcidoid wasp provides a confirmation of sex ratio theory under local mate competition.
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Evolutionary ecology 9 (1995), S. 318-327 
    ISSN: 1573-8477
    Keywords: sex ratio ; sibmating ; inbreeding depression ; haplodiploid ; inclusive fitness ; one-locus genetic model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Summary We construct an inclusive fitness model to find the evolutionarily stable sex ratios in a partially sibmating diploid or haplodiploid population. We assume a constant rate of sibmating with inbred offspring incurring a fitness penalty which, under haplodiploidy, is only suffered by females. We construct a one-locus genetic model for the same problem and observe that when selection is weak it gives the same numerical results as the inclusive fitness model.
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  • 10
    Publication Date: 2007-05-01
    Print ISSN: 0028-0836
    Electronic ISSN: 1476-4687
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Published by Springer Nature
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