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Consideration of Dynamical Effects on Parameterization of Cloud Radiative Properties

Effective radius (re) (defined as the ratio of the third to the second moment of a droplet size distribution) is one of the key variables that are used for calculation of the radiative properties of liquid water clouds (Hansen and Travis 1974). The inclusion and parameterization of re in climate models has proven to be critical for assessing global climate change (Slingo 1990, Dandin et al. 1997). It has been demonstrated empirically (Pontikis and Hicks 1992, Bower and Choularton 1992, Bower et al. 1994, Martin et al. 1994, Liu and Hallett 1997, Reid et al. 1998, Liu and Daum 2000a), as well theoretically (Liu and Hallett 1997, Liu and Daum 2000b), that the re can be expressed as a “1/3” power law of the ratio of the cloud liquid water content to the droplet concentration,