Dutch Bucket Aquaponics/Hydroponics is a great concept for two reasons/purposes:
#1: For containing the roots of individual plants, especially for larger plants. First, we know that a lot of plants' roots like to grow crazy due to how Aquaponics works with the ready flow of saturated nutrients. Second, because of that ready flow of saturated nutrients, larger plants and even small trees can grow in a container smaller than they might require if they were planted in open ground or a larger container of soil.
#2: For serious conservation and control of water, and preventing as much evaporation as possible, which very much appeals to me, as I plan my next and permanent system to be in the desert with limited water available.
Rather than explain, I will just post a youtube video or two.
This is for a Hydroponic system, but it should also work with an Aquaponic system. I especially like that he kept the lids on the buckets and cut holes for the plants, which for me would further reduce evaporation: