I've not lived on an area that was populated with prairie dogs. But from what I've heard ranchers talk in western ks they are a problem in some areas .

The problem MrB , from my understanding is;
Prairie dogs or any similar animal - The ranchers cattle and horses will step into the prairie dogs (burrow) and break a leg . Now the rancher has to put down (shoot) the animal before it becomes a marketed value, if there is a infestation of prairie dogs, the rancher can lose tons of money on lost investment , it takes time to grow cattle.