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However, in spatio-temporal multiple modeling, the identification of the main elements of a space\u2013time linear coregionalization model (ST-LCM), as well as of the latent structures underlying the analyzed phenomenon, represents a tough task. In this paper, some computational advances which support the selection of an ST-LCM are described, gathering all the necessary steps which allow the analyst to easily and properly detect the basic space\u2013time components for the phenomenon under study. 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