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We reformulate the classical object-based co-localization measure in the context of spatial statistics. This allows us to generalize object-based co-localization analysis to a statistical framework over spatial point processes. The framework is based on a model of effective pairwise interaction potentials and the specification of a null hypothesis for the expected pattern in the absence of interaction. The classical object-based co-localization measure is included in our framework as a special case, highlighting several implicit assumptions.