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Genome-wide association studies have emerged as a routine approach to dissecting complex traits,but a marginal one-phenotype/one-SNP regression analysis pervading this approach makes it incapable to estimate the net and cumulative effects of SNPs and reveal the dynamic pattern of interplay between genes and traits.Here we develop a computational framework,which we refer to as two-side high-dimensional genome-wide association studies(2HiGWAS),to associate an ultrahigh dimension of SNPs with a high-dimension of dynamic trajectories measured across time and space.