First, we apply this framework to study the efficiency of individual cumulus clouds. We find that ordinary cumulus congestus clouds entrain only about one third of all entrained vapor through cloud base. However, this fraction of vapor contributes about half of the surface rainfall and its efficiency is thus larger than for the remaining fraction of laterally entraining water vapor. This study explains the low overall efficiency of a cumulus cloud (10%) by the strongly decreasing efficiency of the entrained vapor with entrainment height. In a second study, we extend this framework to test the hypothesis that global warming leads to increased precipitation efficiencies and thus to reduced detrainment of condensate aloft.
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