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I need to offer some correction here.Generally speaking CO2 follows a rise in temperature. This is a data found in ice cores.
When the only sourcing of CO2 is natural, CO2 levels do follow the SST. This has to do with the partial pressures between the ocean and the atmosphere equalizing. This is an extremely slow process however. Once mankind interrupted the balance, CO2 now modulates temperature rather than temperature modulating CO2.
It works both ways, depending on the variables changing.
The minor warming of the oceans will increase the natural equilibrium of CO2 in the atmosphere. I haven't seen any solid numbers on it. Myself, I will assume that from the 1750 level of 278 ppm, the slightly warmer oceans would have us equalize to about 290 ppm now. This excess of 400 ppm is no doubt, caused by us. The biosphere simply cannot sink it as fast as we are emitting it.