George Craig, Wojtek Grabowski, and two anonymous reviewers gave much constructive criticism and suggested further experiments that helped both to improve the manuscript and extend the conclusions. Olaf Stiller is also thanked for helpful discussions on this subject. The UK Meteorological Office provided the cloud model used for this investigation. During this study Adrian Tompkins was supported by grants from the Max Planck Society, and a European Union Marie Curie Fellowship, FMBICT983005.
Anthes, R. A., 1977: A cumulus parameterization scheme utilising a one-dimensional cloud model. Mon. Wea. Rev.,105, 270–286.
Bretherton, C. S., and P. K. Smolarkiewicz, 1989: Gravity waves, compensating subsidence and detrainment around cumulus clouds. J. Atmos. Sci.,46, 740–759.
Brown, P. R. A., and H. A. Swann, 1997: Evaluation of key microphysical parameters in three dimensionsal cloud model simulations using aircraft and multiparameter radar data. Quart. J. Roy. Meteor. Soc.,123, 2245–2275.
Brown, R. G., and C. Zhang, 1997: Variability of midtropospheric moisture and its effect on cloud-top height distribution during TOGA COARE. J. Atmos. Sci.,54, 2760–2774.
Browning, K. A., and F. H. Ludham, 1962: Airflow in convective storms. Quart. J. Roy. Meteor. Soc.,88, 117–135.
Cheng, M.-D., 1989: Effects of downdraughts and mesoscale convective organization on the heat and moisture budgets of tropical cloud clusters. Part II: Effects of convective-scale downdrafts. J. Atmos. Sci.,46, 1540–1564.
Dharssi, I., R. Kershaw, and W.-K. Tao, 1997: Sensitivity of a simulated tropical squall line to long-wave radiation. Quart. J. Roy. Meteor. Soc.,123, 187–206.
Emanuel, K. A., 1991: A scheme for representing cumulus convection in large-scale models. J. Atmos. Sci.,48, 2313–2335.
——, 1994: Atmospheric Convection. Oxford University Press, 580 pp.
Grabowski, W. W., M. W. Moncrieff, and J. T. Kiehl, 1996a: Long-term behaviour of precipitating tropical cloud systems: A numerical study. Quart. J. Roy. Meteor. Soc.,122, 1019–1042.
——, X. Wu, and M. W. Moncrieff, 1996b: Cloud-resolving modeling of tropical cloud systems during Phase III of GATE. Part I: Two-dimensional experiments. J. Atmos. Sci.,53, 3684–3709.
——, ——, ——, and W. D. Hall, 1998: Cloud-resolving modeling of cloud systems during Phase III of GATE. Part II: Effects of resolution and the third spacial dimension. J. Atmos. Sci.,55, 3264–3282.
Guichard, F., J.-P. Lafore, and J.-L. Redelsperger, 1997: Thermodynamical impact and internal structure of a tropical convective cloud system. Quart. J. Roy. Meteor. Soc.,123, 2297–2324.
Held, I. M., R. S. Hemler, and V. Ramaswamy, 1993: Radiative–convective equilibrium with explicit two-dimensional moist convection. J. Atmos. Sci.,50, 3909–3927.
Islam, S., R. L. Bras, and K. A. Emanuel, 1993: Predictability of mesoscale rainfall in the Tropics. J. Appl. Meteor.,32, 297–310.
Lau, K.-M., C. H. Sui, and W. K. Tao, 1993: A preliminary study of the tropical water cycle and its sensitivity to surface warming. Bull. Amer. Meteor. Soc.,74, 1313–1321.
LeMone, M. A., and E. J. Zipser, 1980: Cumulonimbus vertical velocity events in GATE. Part I: Diameter, intensity and mass flux. J. Atmos. Sci.,37, 2444–2457.
Leonard, B. P., 1991: The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection. Comput. Methods Appl. Mech. Eng.,19, 17–74.
Mapes, B. E., and P. Zuidema, 1996: Radiative–dynamical consequences of dry tongues in the tropical troposphere. J. Atmos. Sci.,53, 620–638.
Michaud, L. M., 1998: Entrainment and detrainment required to explain updraft properties and work dissipation. Tellus,50A, 283–301.
Nair, U. S., R. C. Weger, K. S. Kuo, and R. M. Welch, 1998: Clustering, randomness, and regularity in cloud fields 5. The nature of regular cumulus clouds fields. J. Geophys. Res.,103, 11 363–11 380.
Raymond, D. J., 1995: Regulation of moist convection over the west Pacific warm pool. J. Atmos. Sci.,52, 3945–3959.
Robe, F. R., and K. A. Emanuel, 1996: Dependence of tropical convection on radiative forcing. J. Atmos. Sci.,53, 3265–3275.
Schlesinger, R. E., 1973: A numerical model of deep moist convection. Part 1: Comparative experiments for variable ambient moisture and wind shear. J. Atmos. Sci.,30, 835–856.
——, 1978: A three dimensional numerical model of an isolated thunderstorm. Part 1: Comparative experiments for variable ambient wind shear. J. Atmos. Sci.,35, 690–713.
Shutts, G. J., and M. E. B. Gray, 1994: A numerical modelling study of the geostrophic adjustment following deep convection. Quart. J. Roy. Meteor. Soc.,120, 1145–1178.
Sui, C. H., K. M. Lau, W. K. Tao, and J. Simpson, 1994: The tropical water and energy cycles in a cumulus ensemble model. Part I: Equilibrium climate. J. Atmos. Sci.,51, 711–728.
Tao, W. K., and S.-T. Soong, 1986: A study of the response of deep tropical convection to mesoscale processes: Three-dimensional numerical experiments. J. Atmos. Sci.,43, 2653–2676.
——, J. Simpson, and S.-T. Soong, 1987: Statistical properties of a cloud ensemble: A numerical study. J. Atmos. Sci.,44, 3175–3187.
Tompkins, A. M., and G. C. Craig, 1998a: Radiative–convective equilibrium in a three-dimensional cloud ensemble model. Quart. J. Roy. Meteor. Soc.,124, 2073–2097.
——, and ——, 1998b: Timescales of adjustment to radiative–convective equilibrium in the tropical atmosphere. Quart. J. Roy. Meteor. Soc.,124, 2693–2713.
——, and ——, 1999: Sensitivity of tropical convection to sea surface temperature in the absence of large-scale flow. J. Climate,12, 462–476.
——, and K. A. Emanuel, 2000: The vertical resolution sensitivity of simulated equilibrium temperature and water vapour profiles. Quart. J. Roy. Meteor. Soc., in press.
Wyant, M. C., C. S. Bretherton, H. A. Rand, and D. E. Stevens, 1997:Numerical simulations and a conceptual model of the stratocumulus to trade cumulus transition. J. Atmos. Sci.,54, 168–192.
Xu, K.-M., and S. K. Krueger, 1991: Evaluation of cloudiness parameterizations using a cumulus ensemble model. J. Atmos. Sci.,48, 342–367.
——, and A. Arakawa, 1992: Semiprognostic tests of the Arakawa–Schubert cumulus parameterization using simulated data. J. Atmos. Sci.,49, 2421–2436.