I can see what will happen in a few years, say by 2200, as resources run out:
The great automated Hyundai sea miners trawl microplastic from the world oceans to recycle plastics whilst running on energy created from the fraction that can not be re-cycled.

I think the pace of change will gain momentum very quickly, we already have some vessels dedicated to collecting floating plastics from the ocean surface, its on a small scale at the moment but that will change. More and more marine conservation areas are being created, Australia seems to be leading the way with I think nearly a half of its surrounding seas are already conservation areas. Conservation will lead to clean up.........the worst polluters being India that dump everything into the Ganges which finish up in the sea will start to clean up their act, especially with a growing educated wealthy middle class who will look to cleaning up their environment. Isn't India building a million public toilets to deal with a daily waste issue.