ΔBIC values for BIC (upper) and BIC_res (lower) of synthetic nucleated galaxies with varying nucleus and galaxy stellar masses. The ΔBIC values are annotated in each square. ΔBIC> 0 (red) implies that a nucleus of the given stellar mass would be detected, whereas ΔBIC< 0 (blue) would not be detected. The dashed vertical lines denote the jump between nucleated and non-nucleated synthetic galaxies.