Jh. Beder et R. Gomulkiewicz, COMPUTING THE SELECTION GRADIENT AND EVOLUTIONARY RESPONSE OF AN INFINITE-DIMENSIONAL TRAIT, Journal of mathematical biology, 36(3), 1998, pp. 299-319
Following the results developed in a previous paper, an equation descr
ibing the evolutionary response to selection is extended from finite-t
o 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 mod
eled as Gaussian processes, and reproducing kernel Hilbert spaces cons
titute a primary tool.