Abstract. Tradeoffs in performance or fitness across environments have important implications regarding the nature of evolutionary constraints. It remains controversial whether tradeoffs such as these reflect genetic correlations that are genuine evolutionary constraints. However, if such long-term genetic constraints do exist, they must be due to underlying pleiotropy such that alleles that confer high performance in one environment invariably confer low performance in another. The distribution of genetic correlations within and among populations can provide insight about the existence of such pleiotropic tradeoffs.The long-term association of certain teleost fish taxa with particular abiotic environments suggests that tradeoffs in performance across environments have constrained the geographic distribution of those taxa. Here we report the results of an experiment in which we artificially selected on acute heat-and cold-stress tolerance in two stocks of the poeciliid fish Heterandria formosa from source populations with different thermal histories. Unexpectedly, we observed no direct responses to selection. Under certain conditions, fish from the different source populations differed significantly in cold tolerance, but not in heat tolerance. The results suggest there are no strong pleiotropic tradeoffs between heat-and cold-stress tolerance in these populations.Key words. Correlated evolution, evolutionary constraint, Heterandria formosa, selection experiment.Received January 7, 1999. Accepted July 19, 1999.Although tradeoffs in performance or fitness across environments have important implications throughout evolutionary biology, they are central to hypotheses in biogeography and the determination of species ranges. For example, tradeoffs between heat and cold tolerance among closely related species from different latitudes or altitudes are well documented (Prosser 1986, ch. 7; Cossins and Bowler 1987, ch. 6) and similar tradeoffs have been observed among conspecific populations (Hoffman and Parsons 1991;Hoffman and Watson 1993). Such tradeoffs imply negative genetic correlations between performance and/or fitness in different abiotic environments and are the heart of the argument that species distributions are constrained by tradeoffs in the response to abiotic selective forces (Dunson and Travis 1991).If and when evolutionary constraints will be honestly reflected by observed genetic correlations has been the subject of substantial research and debate (e.g., Rose and Charlesworth 1981;Rose 1982;Via and Lande 1985;Cheverud 1988;Gillespie and Turelli 1989;Charlesworth 1990;Houle 1991;Perrin and Travis 1992;Curtsinger et al. 1994;Schluter 1996). Indeed, tradeoffs such as those observed between heat and cold tolerance can have at least three genetic foundations, only one of which will generate long-term evolutionary constraints.Consider two conspecific populations, one inhabiting a warm environment and the other a cool environment, that exhibit the type of tradeoff described above (individuals from the warm e...