In my "great white hunter" phase(not much of a pheasant hunter), I came across 
 an area along a railroad tracks that was covered in rabbit tirds. I knew there must
 be a couple dozen of them, but all my hunting turned up none. 
 .
 Several years down
 the road my wife wants to get a niece a baby rabbit. Well after shelling out nearly a
 hundred dollars for all the stuff that goes with a baby rabbit; cage, feed, water bottle
 etc., my wife decides she wants a baby rabbit too. Another hundred dollars and now
 I am in charge of cleaning the cage of a rabbit that no one can hold because it is a
 biter. From cleaning the cage on a less than a weekly schedule, I can tell you one 
 rabbit poops alot, did I say "a lot"? A poop load. 
 .
 If you want to encourage rabbits, I would suggest having a cage full of female 
 domesticated in the center of your garden/fertilize zone. Breeding like rabbits
 isn't just a cute term, don't ask me how to tell a male from a female rabbit though.