1 sq. mile = 644 acres 3,000 acres = 4.65 square miles obviously the person that wrote this didn't realize this well known fact before saying that by moving 1-4 miles MOST bucks will leave a 3,000 acre ranch. Remember, deer don't use fences or property lines as boundarys. Just because a deer was born in the NW corner of the ranch doesn't mean he won't be in the SE corner for his new homerange, and those in the SE move to the NW.
So some of your button bucks move a mile or two away? Others will move into your area. We are talking 1 1/2 year old bucks, the little six and eights that QDM people don't shoot.Other studies have shown that mature bucks (3 years and older) have home ranges of over three miles and may travel anywhere at anytime within that home range. Mature buck home ranges also overlap quite extensively so by letting bucks mature, there will always be some in and around your property, you might not harvest them, but if you let them grow, they will be around. If you shoot them because you are afraid they will "run away" to someone elses land, they will not. This study also didn't mention much about the rut (when most people hunt) and how bucks will travel over 10 miles from their home range to find receptive does. This may bring them right past your stand.