First off, since coons live in colonies, trapping and relocating an individual coon is not going to accomplish much. There are plenty more coons in the colony to take the place of the one(s) you just relocated. Also because coons live in colonies if you relocate one coon you force it to either fight and maybe kill coons in other colonies to either carve out a new home for its self or else force a passageway back home.
The only alternative the coon you relocate has is a slow and painful death from starvation.
I have yet to see a single raccoon that had a green eye shade on its head or one who possessed any of the other tools of a bean counter. When you manage or control the whole colony you have only reduced the number of coons that the natural environment is forced to support. The surrounding population of raccoons don't go on an Oklahoma Sooners' style land rush to lay claim to the newly unoccupied territory, you have only reduced the pressure that the local coons put on the food resources in your area. If the pressure the coons put on their range is reduced it reduces the pressure the coon population puts on your chickens. An out of balance animal population is an unhealthy population and the only ethical human response is to manage that population in the least intrusive but most effective way to bring the population back within the carrying capacity of the environment.
Coons are wild animals and like all wild animals coons display neither entrepreneurial nor rent seeking behaviors. Coons or any other predator only respond to outside environmental stimuli. They kill your chickens because your poultry are either the easiest, the first, or the only prey in sight. The coons in suburbia are more than likely killing your chickens because the coons other "natural" food sources (like leftover or left-out dog and cat food) is in short supply. When that happens the raccoons quickly begin to view your baby chicks like they are frogs in a fur coat.
