Hmm, is there some other kind of fish better suited to this type of system? Some kind of fish that could naturally survive on the plant waste? Maybe not even the waste in the water but some other form of biomass from the rest of the system?
e: Sibling comments seem to suggest Tilapia or Rainbow Trout.
Not sure what you're proposing, but something has to go into the system (fish food or fertilizer) if you're going to be taking things out (food). If the fish are living off of the plants, then you need to feed the plants. If the plants are living off of the fish, then you need to feed the fish. Something something Law of Conservation of Mass and Energy something something.
Sunlight and air are inputs though. Most of what you take our of the system comes from changing H2O and CO2 from the air into a different form using energy from the sun.
There is the potential various micro nutrients, and minerals. However the vast majority of what the system needs is air and sunlight.
Right, but nutrients and minerals are still being regularly removed from the system--they need to be put back in order for the system to function. Their mass relative to the mass of other inputs doesn't change the calculus.
Yeah conservation of matter, you need minerals other than carbon, oxygen and sunlight to make food therefore if human in the loop is introduced you need to take the human byproducts into the system as well
e: Sibling comments seem to suggest Tilapia or Rainbow Trout.