I did a search on rabbits just now and Shape, what you said is what I've suspected. My mother and I live on the perimeter of a very large park/reserve. We're 2 miles apart. I have seen maybe one rabbit in 10 years; she sees them just about every time she steps outside. Her neighborhood is full of them. I guess my part of the park is where the coyotes and bobcats live. I've been telling her for years to start naming the rabbits and making them her pets (they live beneath her deck and in her front shrubs).
If for some reason, rabbits started taking over my area, I'd either quit gardening or I'd build a cage that was a couple feet underground and extended 6 feet above ground (to allow human access). Otherwise, I think it's futile to fight pesky wabbits.