Hi there, I too am looking at doing something along these lines.
In geoff lawtons Urban Permaculture DVD there is an example of using a pool as an aquaponics set up and they have the water circulating through only 3 bathtubs as grow beds and silver perch. It's possible.
I think if you are following aquaponics systems to the letter, then yeah you should probably have a one to one ratio like he says in that video you posted. But the problem is the solution, which means I can do a permaculture twist on aquaponics if I want to.
I'm looking at maybe having grow beds down 2 sides of the pool, of whatever containers I can find. I'm thinking if I add in an additional biological filter, like one of the home DIY ones you can build into boxes or blue barrels, then that should pick up any extra waste and put it into the nitrogen cycle if there isn't enough volume in the beds. Plus recirculating through a waterfall feature for aeration and only stocking with minimal fish, as there is only me and my partner. I'm hoping to keep the water clean enough for swimming in summer as well.
I suppose the difference is that in most aquaponics setups they want to get as much kilo per L of fish as they possibly can which requires having enough plants to soak all that nutrient up. I'm not interested in pushing the system that hard. My aim is to try to get what is an eyesore currently usable again.
And if it really comes down to it, do water changes regularly and siphon the nutrient rich water over the rest of your veggie patch
I really want to do this. Don't give up! Cause I haven't yet
