“…Other variations of the AS scheme are used in CSU, which uses a prognostic closure based on the cumulus kinetic energy [Pan and Randall, 1998], and in GFDL and McRAS, which use a relaxed AS scheme developed by Moorthi and Suarez [1992] with several modifications to convective triggers (CTR) and inhibitors (CIN) for the existence of convection (see relevant references listed in Table 1 for these models). Various bulk mass flux schemes, which use one single cloud model to describe an average over all cloud types within [Fowler et al, 1996] 0 or 1 revised AS scheme [Ding and Randall, 1998] ECHAM5 separate prognostic equations for cloud liquid and ice and diagnostic rain and snow [Lohmann and Roeckner, 1996] statistical cloud fraction scheme [Tompkins, 2002] modified from Tiedtke [1989]; mass flux scheme [Nordeng, 1994] GFDL separate prognostic equations for cloud liquid and ice and diagnostic rain and snow [Rotstayn, 1997;Rotstayn et al, 2000] prognostic cloud fraction [Tiedtke, 1993] relaxed AS scheme [Moorthi and Suarez, 1992] GISS one prognostic equation for both cloud liquid and ice and diagnostic rain and snow [Del Genio et al, 1996] diagnostic cloud fraction [Del Genio et al, 1996] mass flux [Del Genio and Yao, 1993;Del Genio et al, 2005] McRAS one prognostic equation for both cloud liquid and ice and diagnostic rain and snow Walker, 1999a, 1999b] prognostic cloud fraction Walker, 1999a, 1999b] relaxed AS scheme PNNL separate prognostic equations for cloud water, cloud ice, droplet number, and crystal number [Ghan et al, 1997a[Ghan et al, , 1997b statistical cloud fraction and autoconversion [Menon et al, 2003] mass flux [Hack, 1994] SCAM one prognostic equation for both cloud liquid and ice and diagnostic rain and snow [Rasch and Kristjánsson, 1998] and Zhang et al [2003].…”