Natural selection. IV. The Price equation

The Price equation partitions total evolutionary change into two components. The first component provides an abstract expression of natural selection. The second component subsumes all other evolutionary processes, including changes during transmission. The natural selection component is often used in applications. Those applications attract widespread interest for their simplicity of expression and ease of interpretation. Those same applications attract widespread criticism by dropping the second component of evolutionary change and by leaving unspecified the detailed assumptions needed for a complete study of dynamics. Controversies over approximation and dynamics have nothing to do with the Price equation itself, which is simply a mathematical equivalence relation for total evolutionary change expressed in an alternative form. Disagreements about approach have to do with the tension between the relative valuation of abstract versus concrete analyses. The Price equation's greatest value has been on the abstract side, particularly the invariance relations that illuminate the understanding of natural selection. Those abstract insights lay the foundation for applications in terms of kin selection, information theory interpretations of natural selection and partitions of causes by path analysis. I discuss recent critiques of the Price equation by Nowak and van Veelen.     

The distribution of allelic effects under mutation and selection

The Price (1970, 1972) equation is applied to the problem of describing the changes in the moments of allelic effects caused by selection, mutation and recombination at loci governing a quantitative genetic character. For comparable assumptions the resulting equations are the same as those obtained by different means by Barton & Turelli (1987; Turelli & Barton, 1989). The Price equation provides a natural framework within which to examine certain kinds of non-additive allelic effects, recombination and assortative mating. The use of the Price equation is illustrated by finding the equilibrium genetic variance under multiplicative dominance and epistasis and under assortative mating at an additive locus. The limitations of the use of recursion equations for the moments of allelic effects are also discussed.     

The Story of American Glass

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Report of the Seventh International Art Congress

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An Eighth Grade Art Appreciation Activity

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Full Cycle

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The Exhibit of the 500 Ducks

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Creative Photography

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Book Review Section

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Hand Woven Coverlets

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Book Review Section

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Reviewer's Choice: Coming Soon … Art Exhibits

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BOOK REVIEWS

Book reviewed in this article: Rundel, P.W., Smith, A.P. & Meinzer, F.C. (eds.) 1994. Tropical Alpine Environments. Plant form and function. xi + 376 pp. Cambridge University Press, Cambridge. ISBN 0–521–42089-X. Price: GBP 65.-.     

Reviewer's Choice: Book Review Section

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Book Review Section: Reviewer's Choice

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