So the only water lost is through evaporation?
Well you can design tanks and the building to limit or eliminate evoporation loss by acting as a lid just like a home aquarium... Water hits the lid, condenses and drops back into the tank/system...
And in theory this could apply as much to a twenty million litre system as to a 3,600 litre one?
Absolutely, in fact the larger the system is, the greater it's ability to avoid a "crash" as there is a greater margin for error when getting the balance between, litreage, waste, number of animals, food, plants, water temperature, piping toxins, etc...
Do all the tanks have to be the same size?
No, the tanks can be different sizes although not as radically so as a normal aquarium, a better idea would be to vary the tank shapes while keeping the volumes pretty close to each other, i.e. a two story kelp tank and two four foot high tidal tanks with all three holding the same litreage... Obviously you would want to have a bigger deep sea tank as sharks are the main attraction and drawcard of any aquarium so maybe another bacteria "dark" sump would be needed before this tank, oxygenating the water requires an air conditioner so the more of these you have the more power you are going to use...
Or could the antarctic, kelp and tidal tanks function as 'thoroughfares' for the water to travel from the biological sump to the deep sea and reef tanks?
Exactly, all the tanks are interlinked and part of the system and act as waste sinks, all will have plants, substrate and animals that can help process the waste (like mussels, sponges etc) the tanks must be designed not just to replicate plants and the sea floor but to accomodate them while still allowing visibility for the public (otherwise you don't really have an aquarium anymore just an expensive lab..!)... If you look at Monterey Bay they are lucky enough to have water that is clean enough outside their aquarium that they can pump unfiltered water into their kelp tank (in particular) all kinds of natural animals spawn and grow in the tank (and the pipes)... This system is different from that again as all water stays in the aquarium and it adds more natural light, aims to have plankton blooms, less but more "engaged" animals (if you go to the aquarium in Leigh the fish and animals act in ways I've never seen at other aquariums, you see crabs marching around the tanks, sponges popping up and filtering away as waste passes, fish hiding in the natural plants and corals, amazing..!)...
Here in Australia the only large-scale aquarium that doesn't source its water from the sea directly adjacent to it is Melbourne (they truck water from the Port Phillip Bay heads, which must be a considerable cost). If water can be conserved, along with power, in this system then that makes public aquaria potentially an option for inland cities like Canberra.
That is part of the idea, that aquariums become more accessible to those living away from the sea...
The system of course doesn't have to be completely enclosed, if an aquarium owner was worried about a "crash" a small pipe and filter could be built out to sea and it left turned off unless the water in the tanks became too acidic, looking to do a change of a few percent of the water an hour rather than the four to eight hundred percentage changes common in current aquariums (you can see where the high power use comes from, imagine pumping a few million litres, in and out again, eight times an hour)... This dual system might be a good compromise for the first aquarium to try this...