• André, J. C., G. De Moor, P. Lacarrère, and R. du Vachat (1978), Modeling the 24-hour evolution of the mean and turbulent structures of the planetary boundary layer, J. Atmos. Sci., 35, 18611883.
  • Bony, S., and K. A. Emanuel (2001), A parameterization of the cloudiness associated with cumulus convection; evaluation using TOGA-COARE data, J. Atmos. Sci., 58, 31583183.
  • Bougeault, P. (1982), Cloud-ensemble relations based on the gamma probability distribution for the higher-order models of the planetary boundary layer, J. Atmos. Sci., 39, 26912700.
  • Cahalan, R. F., W. Ridgway, W. J. Wiscombe, T. L. Bell, and J. B. Snider (1994), The albedo of fractal stratocumulus clouds, J. Atmos. Sci., 51, 24342460.
  • Golaz, J.-C., V. E. Larson, and W. R. Cotton (2002), A PDF-based model for boundary layer clouds. part I: Method and model description, J. Atmos. Sci., 59, 35403551.
  • Khairoutdinov, M. F., and D. A. Randall (2002), Similarity of deep continental cumulus convection as revealed by a three-dimensional cloud-resolving, J. Atmos. Sci., 59, 25502566.
  • Khairoutdinov, M. F., and D. A. Randall (2003), Cloud resolving modeling of the ARM summer 1997 IOP: Model formulation, results, uncertainties, and sensitivities, J. Atmos. Sci., 60, 607625.
  • Lappen, C.-L., and D. A. Randall (2001), Toward a unified parameterization of the boundary layer and moist convection. part I: A new type of mass-flux model, J. Atmos. Sci., 59, 20212036.
  • Larson, V. E., R. Wood, P. R. Field, J.-C. Golaz, T. H. Vonder Haar, and W. R. Cotton (2001), Systematic biases in the microphysics and thermodynamics of numerical models that ignore subgrid-scale variability, J. Atmos. Sci., 58, 11171128.
  • Larson, V. E., J.-C. Golaz, and W. R. Cotton (2002), Small-scale and mesoscale variability in cloudy boundary layers: Point probability density functions, J. Atmos. Sci., 59, 35193539.
  • Lin, C., and A. Arakawa (1997), The macroscopic entrainment processes of simulated cumulus ensemble. part I: Entrainment sources, J. Atmos. Sci., 54, 10271043.
  • Luo, Y., S. K. Krueger, G. G. Mace, and K.-M. Xu (2003), Cirrus cloud properties from a cloud-resolving model simulation compared to cloud radar observations, J. Atmos. Sci., 60, 510525.
  • Mellor, G. L. (1977), The Gaussian cloud model relations, J. Atmos. Sci., 34, 356358.
  • Pincus, R., and S. A. Klein (2000), Unresolved spatial variability and microphysical process rates in large-scale models, J. Geophys. Res., 105, 27,05927,065.
  • Siebesma, A. P. (1998), Shallow cumulus convection, in Buoyant Convection in Geophysical Flows, edited by E. J. Plate et al., pp. 441486, Springer, New York.
  • Smith, R. N. B. (1990), A scheme for predicting layer clouds and their water-content in a general-circulation model, Q. J. R. Meteorol. Soc., 116, 435460.
  • Sommeria, G., and J. W. Deardorff (1977), Subgrid-scale condensation in models of nonprecipitating clouds, J. Atmos. Sci., 34, 344355.
  • Tompkins, A. M. (2002), A prognostic parameterization for the subgrid-scale variability of water vapor and clouds in large-scale models and its use to diagnose cloud cover, J. Atmos. Sci., 59, 19171942.
  • Xu, K.-M. (1995), Partitioning mass, heat, and moisture budgets of explicitly simulated cumulus ensembles into convective and stratiform components, J. Atmos. Sci., 52, 551573.
  • Xu, K.-M., and D. A. Randall (1996), Evaluation of statistically based cloudiness parameterizations used in climate models, J. Atmos. Sci., 53, 31033119.
  • Xu, K.-M., et al. (2002), An intercomparison of cloud-resolving models with the Atmospheric Radiation Measurement summer 1997 intensive observation period data, Q. J. R. Meteorol. Soc., 128, 593624.
  • Yanai, M., and R. H. Johnson (1993), Impacts of cumulus convection on thermodynamic fields, in The Representation of Cumulus Convection in Numerical Models, edited by K. A. Emanuel, and D. J. Raymond, pp. 3962, Am. Meteorol. Soc., Boston, Mass.
  • Zhang, M.-H., J. L. Lin, R. T. Cederwall, J. J. Yio, and S.-C. Xie (2001), Objective analysis of ARM IOP data: Method and sensitivity, Mon. Weather Rev., 129, 295311.