Local adaptation is often studied via 1) multiple common garden experiments comparing 30 performance of genotypes in different environments and 2) sequencing genotypes from multiple locations and characterizing geographic patterns in allele frequency. Both approaches aim to characterize the same pattern (local adaptation), yet the complementary information from each has not yet been coherently integrated into a modeling framework. Here, we develop a genome-wide association model of genotype 35 interactions with continuous environmental gradients (G×E), i.e. reaction norms. We employ an imputation approach to synthesize evidence from common garden and genome-environment associations, allowing us to identify loci exhibiting environmental clines where alleles are associated with higher fitness in home environments. Simulations show our approach can increase power to detect loci causing local adaptation. In a case 40 study on Arabidopsis thaliana, our approach reveals candidate genes for local adaptation based on known involvement in environmental stress response. Most identified SNPs exhibited home allele advantage and fitness tradeoffs along climate gradients, suggesting selective gradients maintain allelic clines. SNPs exhibiting G×E associations with fitness were enriched in genic regions, putative partial selective sweeps, and G×E associations 45 with an adaptive phenotype (flowering time). We discuss extensions for situations where only adaptive phenotypes other than fitness are available. Many types of data may point toward the loci underlying G×E and local adaptation; coherent models of diverse data provide a principled basis for synthesis. Adrion JR, Hahn MW, Cooper BS (2015) Revisiting classic clines in Drosophila melanogaster in the age of genomics. Trends in Genetics. Ågren J, Oakley CG, McKay JK, Lovell JT, Schemske DW (2013) Genetic mapping of 690 adaptation reveals fitness tradeoffs in Arabidopsis thaliana.