Abstract
On the assumption that cumulus clouds can be represented by independent buoyant elements, a general theory is developed for parameterization of cumulus convection illlarge-scale weather systems. No specific method ready for application is yet proposed, except for a simple application to tropical disturbances. The main purpose of this study is to propose a basic theoretical structure of parameterization, so that further investigations, both observational and analytical, can be integrated to produce better practical methods.