I removed a healthy two-year-old fig recently to make room for a different variety. I had irrigated it on a drip system, but also soaked its basin once or twice weekly with a hose, watering quite deeply. To remove it, I rigged up a tripod of 4x4s and hooked a "come-along" to the trunk so I could crank it up out of the ground. To my surprise, virtually all of the roots were within about two inches of the surface, and came up in continuous mat (kind of like pulling up a tablecloth by pinching it in the middle, and lifting). The absence of any deep roots made me question how well the water was being used, and prompted me to start using spray heads on some of my trees.
I also used the same method to remove a Kadota I wasn't happy with, and it had deep, tenacious roots that I eventually had to cut off with loppers. I don't know how someone could find out (without causing a lot of damage) which trees' roots are shallow and spreading, and which ones go down deep, but some varieties might do better with frequent, shallow watering than with deep soaking.