We have generalized the Arakawa-Schubert cumulus parameterization to a
llow multiple cloud-base levels. A spectrum of cloud-top levels is all
owed for each cloud-base level. We use a linear (rather than exponenti
al) mass flux profile, because this greatly simplifies the determinati
on of the entrainment rate and reduces the computational requirements
of the parameterization. Cloud-top entrainment is included. The linear
mass flux profile and the multiple cloud bases are separately tested
in a general circulation model. Results show that the linear mass flux
profile tends to lead to smoother precipitation distribution with a d
ecrease in the depth and intensity of deep convection and that cumuli
with cloud bases above the boundary layer tend to occur at night over
land.