We appreciate the comments of Charlie Cohen and Bob Haney on the original manuscript. Bjorn Stevens provided constructive suggestions on the discussion of the condensation and evaporation processes. Three anonymous reviewers are thanked for their thorough reviews. Shouping Wang was supported by NASA/FIRE III and EOS programs. Qing Wang was supported by NSF Grant ATM 9700845.
Bechtold, P., and P. Siebesma, 1998: Organization and representation of boundary layer clouds. J. Atmos. Sci.,55, 888–895.
——, S. K. Krueger, W. S. Lewellen, E. V. Meijaard, C.-H. Moeng, D. A. Randall, A. van Ulden, and S. Wang, 1996: Modeling a stratocumulus-topped PBL: Intercomparison among different 1D codes and with LES. Bull. Amer. Meteor. Soc.,77, 2033–2042.
Bott, A., T. Trautmann, and W. Zdunkowski, 1996: A numerical model of the cloud-topped planetary boundary layer. Radiation, turbulence and spectral microphysics in marine stratus. Quart. J. Roy. Meteor. Soc.,122, 635–667.
Bougeault, P. H., 1982: Cloud-ensemble relations based on the gamma probability distribution for the higher-order models of the planetary boundary layer. J. Atmos. Sci.,39, 2691–2700.
Fu, Q., S. K. Krueger, and K. N. Liou, 1995: Interactions of radiation and convection in simulated tropical cloud clusters. J. Atmos. Sci.,52, 1310–1328.
Kaplan, W., 1973: Advanced Calculus. 2d ed. Addison-Wesley, 709 pp.
Kogan, Y. L., M. P. Khairoutdinov, D. K. Lilly, Z. N. Kogan, and Q. Liu, 1995: Modeling of stratocumulus cloud layers in a large eddy simulation model with explicit microphysics. J. Atmos. Sci.,52, 2923–2940.
Mellor, G. L., 1977: The Gaussian cloud model relations. J. Atmos. Sci.,34, 356–358.
Moeng, C.-H., and Coauthors, 1996: Simulation of a stratocumulus-topped planetary boundary layer: Intercomparison among different numerical codes. Bull. Amer. Meteor. Soc.,77, 261–278.
Smith, R. N. B., 1990: A scheme for predicting layer clouds and their water content in a general circulation model. Quart. J. Roy. Meteor. Soc.,116, 435–460.
Sommeria, G., and J. W. Deardorff, 1977: Subgrid-scale condensation in models of nonprecipitating clouds. J. Atmos. Sci.,34, 344–355.
Stevens, B., W. R. Cotton, and G. Feingold, 1998: A critique of one and two-dimensional models of marine boundary layer clouds with detailed representations of droplet microphysics. Atmos. Res.,47–48, 529–553.
Tiedtke, M., 1993: Representation of clouds in large-scale models. Mon. Wea. Rev.,121, 3040–3061.
Wang, S., and Q. Wang, 1994: Roles of drizzle in a one-dimensional third-order turbulence closure model of the nocturnal stratus-topped marine boundary layer. J. Atmos. Sci.,51, 1559–1576.