Computing the selection gradient and evolutionary response of an infinite-dimensional trait |
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| Authors: | Jay H Beder Richard Gomulkiewicz |
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| Institution: | (1) Department of Mathematical Sciences, University of Wisconsin, Milwaukee, WI 53201, USA (e-mail: beder@csd.uwm.edu), US;(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 |
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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.
Received 12 September 1996 |
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| Keywords: | : Evolutionary response Gaussian process Infinite-dimensional trait Reproducing kernel Hilbert space Selection gradient |
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