A simple tutorial model of open-ocean deep convection is presented, based on the seminal box model of Welander. The model is extended to include prognostic variables of the deep box. An approximate analytical solution is found and discussed for a surface forcing which includes a seasonal cycle. The model helps to illustrate, e.g., the basic balances at work in determining the duration of the winter convection season or the rate dependence of the response of convection to surface warming.
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