Optimizing selection for function-valued traits.
We consider a function-valued trait z(t) whose pre-selection distribution is Gaussian, and a fitness function W that models optimizing selection, subject to certain natural assumptions. We show that the post-selection distribution of z(t) is also Gaussian, compute the selection differential, and derive an equation that expresses the selection gradient in terms of the parameters of W and of the pre-selection distribution. We make no assumptions on the nature of the "time" parameter t.
Beder
Jay H
JH
Department of Mathematical Sciences, University of Wisconsin, Milwaukee, WI 53201, USA. beder@uwm.edu
Gomulkiewicz
Richard
R
D000818:Animals; D008433:Mathematics; D008957:Models, Genetic; D010641:Phenotype; D019655:Quantitative Trait, Heritable; D012641:Selection, Genetic