At the risk of sounding like a hippie - mother nature. Forests, savannahs, and oceans have been doing their thing long before humans arrived, and will continue doing their thing long after we perish.
Oceans are affected by those above as well, and by us. We have managed to affect the oceans quite a lot during our short time on earth, mainly by pollution it and the environment in general.
Nothing is really autonomous in that sense. Yes, the earth will probably be here after we perish and it will probably survive, more or less, intact so in that sense it is probably quite autonomous.