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Computing the selection gradient and evolutionary response of an infinite-dimensional trait

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Abstract.

 Following the results developed in a previous paper, an equation describing the evolutionary response to selection is extended from finite- to infinite-dimensional traits. The selection gradient and evolutionary response are then computed for a large class of infinite-dimensional traits of broad biological interest. In this framework, traits are modeled as Gaussian processes, and reproducing kernel Hilbert spaces constitute a primary tool.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Wisconsin, Milwaukee, WI 53201, USA (e-mail: beder@csd.uwm.edu), , , , , , US

    Jay H. Beder

  2. Department of Pure and Applied Mathematics, and Department of Genetics and Cell Biology, Washington State University, Pullman, WA 99164, USA e-mail: gomulki@wsu.edu, , , , , , US

    Richard Gomulkiewicz

Authors
  1. Jay H. Beder
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  2. Richard Gomulkiewicz
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Received 12 September 1996

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Beder, J., Gomulkiewicz, R. Computing the selection gradient and evolutionary response of an infinite-dimensional trait. J Math Biol 36, 299–319 (1998). https://doi.org/10.1007/s002850050102

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  • DOI: https://doi.org/10.1007/s002850050102

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