“…evapotranspiration) ( Figure 3 ; Woltereck, 1909 ; Gregorius and Namkoong, 1986 ; Boer et al, 2007 ; Jarquín et al, 2014 ; Van Eeuwijk et al, 2016 ; Irmak et al, 2019 ; Cooper et al, 2021a ; Messina et al, 2022a ). Breeding for drought tolerance requires consideration of and selection for genotype yield reaction-norms across environments, and therefore the extent and factors contributing to genotype-by-environment ( GxE ) interactions within the TPE; herein, this includes consideration of G x (E x M) interactions, as discussed above ( Figure 3 ; Cooper and DeLacy, 1994 ; Cooper and Hammer, 1996 ; Basford and Cooper, 1998 ; Cooper et al, 2001 , 2014a , 2014b , 2020 , 2021a , 2023 ; Messina et al, 2009 , 2022a , 2022c ; Gaffney et al, 2015 ; Van Eeuwijk et al, 2016 ; Gage et al, 2021 ; Li et al, 2021 ; Diepenbrock et al, 2022 ). The incidence of GxE interactions for crop productivity traits, such as yield, has long been recognized as a vexing challenge with major implications for many aspects of plant breeding, including trait prediction, selection, and on-farm product performance ( Figures 1–3 ; Haldane, 1946 ; Falconer, 1952 ; Comstock and Moll, 1963 ; Finlay and Wilkinson, 1963 ; Allard and Bradshaw, 1964 ; Eberhart and Russell, 1966 ; Knight, 1970 ; Ceccarelli, 1989 , 1994 ; Cooper and DeLacy, 1994 ; Cooper and Hammer, 1996 ; Blum, 2011a ; Gaffney et al, 2015 ; Van Eeuwijk et al, 2016 ; Ceccarelli and Grando, 2020a , 2020b ; Gage et al, 2021 ;…”