Table 3. Description of the single- and multi-kernel models tested for prediction within breeding cycle/across managed treatments and across breeding cycles/within managed treatment.

Model Abbreviation	Relationship Matrix Used to Model the Genetic Main Effect			Relationship Matrix Used to Model the G$\times$E Interaction Effect
	G	A	H.VEG	G	A	H.VEG
G	X
A		X
H.VEG			X
G + GGxE	X			X
A + AGxE		X			X
G + H.VEGGxE	X					X
A + H.VEGGxE		X				X

G is the genomic relationship matrix, A is the additive pedigree relationship matrix, and H.VEG is the hyperspectral relationship matrix derived from BLUEs calculated across hyperspectral phenotyping time-points collected at the vegetative stage. Single- and multi-kernel models using relationship matrices H.HEAD, H.GF, and H.ALL follow the same form as those using H.VEG shown here.