This is a interesting thread and I thank everyone for it. I did have a thought to throw out;
based on what I've read above and elsewhere, it seems people always want to apply mechanical filtration to most contained systems. Okay. So, what if I said I have been keeping saltwater fish and corals for over 10 years now without anything but natural filtration? Though, I suppose the smallish protein skimmer I use (I clean everything about every 4-6 weeks; 1/3 change the water, and clean the skimmer only then) can be said to be my mechanical filter but I basically rely only on the live rock (and soft corals). For fish, I have the (6) I currently have range in size from 2 to 4 inches. Gallonage is 90, in-tank water movement pumps and aeration added. I would hazard a guess that most would say I'm over-stocked and under-filtered and yet it's worked all this time. This would seem to support the idea that the bacteria inherent in the system, if given proper/enough substrates to colonize, can be enough if combined with proper feeding practices (I feed marine flakes once a day, frozen shrimp twice a week).
For me, this is a proof of some sort that nature can do the job just fine if I don't overfeed and don't totally neglect the system. This is what I've tried to do with my pond, relying on a small aerator,waterfall, short stream, and bog all while feeding a handful of food once a day. I've never water changed and only filled the pond up if I get evaporation. I have 70+ goldfish, 20 or so about 10", the rest between 2 and 6, lots of plants, have never added salt or any other chemicals, but do use well water. I've also never tested the water other than for the pH, initially. I tend to rely on observation re how the snails/frogs/fish/turtles are doing. It's been 3 full summers and I'm on to the fourth now. While others are lamenting some winter fish loss, I typically lose maybe 3 a year and haven't lost a large one since the first winter (2). This year, with probably the coldest February in over 140 years for Mi (actual temps; 21 F daytime high avg, 3 F night time avg), I lost 4 fish, all smaller, and I used a pond breather for the first time (since the cold was pinching my air lines as I've buried them beneath the mulch).