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Comparisons between cloud-base CCN concentrations and cloud droplet concentrations in stratus clouds over San Diego and 100 km out to sea showed a positive correlation. The supersaturation in these clouds, as derived from the matching of the CCN spectra and the droplet spectra, is consistent with the concept of a moderate updraft intermediate between the supersaturation of a cumulus cloud and a fog.
James G. Hudson (Tue,) studied this question.