The challenge is to tinker with the second law of thermodynamics, which will drag you down with entropy and loss in general.
I understand what you mean (I'm pretty sure I do anyway) but this has nothing to do with entropy. It's far from a closed system where entropy might play a role in the long term. Given the right organisms and starting materials, there's no reason at all why a system like this could not survive indefinitely as long as it is supplied energy. Sorry, this is a physics pet peeve of mine.
