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Peter Vogel, Peter Knippertz, Andreas H. Fink, Andreas Schlueter, and Tilmann Gneiting

organization and coupling to larger-scale circulations. The most important example of such a coupling on weather time scales are equatorial waves, classically referring to planetary-scale solutions of the shallow water equations for the tropics ( Matsuno 1966 ; Wheeler and Kiladis 1999 ). The coupling relies on a wave-induced modification of environmental conditions for convection such as convergence, stability, moisture availability, and shear ( Schlueter et al. 2019a , b ). Although a relatively high

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