%0 Journal Article %T Catch Me if You Can: Adaptation from Standing Genetic Variation to a Moving Phenotypic Optimum %+ Mathematics and BioSciences Group %+ ALEA %A Matuszewski, Sebastian %A Hermisson, Joachim %A Kopp, Michael %Z This study was supported by Austrian Science Fund, FWF (grant P 22581-B17 to MK and grant P22188 to Reinhard Bürger), Austrian Agency for International Cooperation in Education and Research, OEAD (grant FR06/2014 to JH), Campus France (grant PHC AMADEUS 31642SJ to MK),and a Writing-Up Fellowship from the Konrad Lorenz Institute for Evolution and CognitionResearch (KLI) to SM. %< avec comité de lecture %@ 0016-6731 %J Genetics %I Oxford University Press %V 200 %P 1255-1274 %8 2015-06-02 %D 2015 %Z Life Sciences [q-bio]/Biodiversity/Populations and Evolution [q-bio.PE]Journal articles %X Adaptation lies at the heart of Darwinian evolution. Accordingly, numerous studies have tried to provide a formal framework for the description of the adaptive process. Out of these, two complementary modelling approaches have emerged: While so-called adaptive-walk models consider adaptation from the successive fixation of de novo mutations only, quantitative genetic models assume that adaptation proceeds exclusively from pre-existing standing genetic variation. The latter approach, however, has focused on short-term evolution of population means and variances rather than on the statistical properties of adaptive substitutions. Our aim is to combine these two approaches by describing the ecological and genetic factors that determine the genetic basis of adaptation from standing genetic variation in terms of the effect-size distribution of individual alleles. Specifically, we consider the evolution of a quantitative trait to a gradually changing environment. By means of analytical approximations, we derive the distribution of adaptive substitutions from standing genetic variation, that is, the distribution of the phenotypic effects of those alleles from the standing variation that become fixed during adaptation. Our results are checked against individual-based simulations. We find that, compared to adaptation from de novo mutations, (i) adaptation from standing variation proceeds by the fixation of more alleles of small effect; (ii) populations that adapt from standing genetic variation can traverse larger distances in phenotype space and, thus, have a higher potential for adaptation if the rate of environmental change is fast rather than slow. %G English %L hal-01255416 %U https://hal.science/hal-01255416 %~ CNRS %~ UNIV-AMU %~ EC-MARSEILLE %~ GIP-BE %~ I2M %~ I2M-2014-