Appendix A Mathematics Of The Twobox Model

Here we give a mathematical description of the two-box model of the ocean, illustrated in figure 7.9. The evolution equations of the two boxes are

Forcing

Heat loss to atmosphere

Forcing

Heat loss to atmosphere

Figure 7.9 A simple two-box model of the ocean, with a mixed layer at a temperature Tm and a deep ocean layer at a temperature Td, and exchanges of heat between the components as shown.
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