Influence of convection and aerosol pollution on ice cloud particle effective radius

Satellite observations show that ice cloud effective radius (r(e)) increases with ice water content (IWC) but decreases with aerosol optical thickness (AOT). Using least-squares fitting to the observed data, we obtain an analytical formula to describe the variations of r(e) with IWC and AOT for several regions with distinct characteristics of r(e)-IWC-AOT relationships. As IWC directly relates to convective strength and AOT represents aerosol loading, our empirical formula provides a means to quantify the relative roles of dynamics and aerosols in controlling r(e) in different geographical regions, and to establish a framework for parameterization of aerosol effects on r(e) in climate models.