I had a look at an Aquaponics and though I quite liked the system there where some things I didn't like about it such as the energy consumption of the pumps and that amount of fish in a small amount of water can cause problems with all the fish dyeing.
edit 26/7/12 Just a note on growing root vegetables. A number of readers have pointed out that some people have successfully grown root crops in both a hydroponic and aquaponic systems. I have also spoken to "experts" who have told me no way, there are problems with crops going rotten. http://www.instructables.com/id/Hydroponic-Food-Factory/step17/Hydroponic-potatoes/ give a short description on how to grow potatoes in a hydroponic system.
I'm not able to grow a traditional garden, as we have extremely poor soil, water restrictions, low rain fall, and extreme weather events such as week long heat waves of 45C or 113F which will kill any veggie within hours.
I started this project about a year ago and at the time it was an experiment to try an address the above issues, I had never heard of vermiponics, and there is still not a great deal of info about it. It wasn't until a few weeks ago I found that it had a name and there are some similar systems out there. Stupidly I didn't take a lot of photos and it is now July and the middle of winter so the garden doesn't look that good at the moment. I will up date photos every month for the next year or so.