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North American wild rabbits and domestic rabbits cannot interbreed. They are entirely different species, even different genera, they are too distantly related to create viable offspring. However, they do share certain parasites and diseases. The process of domestication has robbed the domestic rabbit of some of the skills necessary to fending for itself in the presence of predators; with normal predator pressure, they don't survive for long. However, humans have a deeply ingrained dislike for predators, and have removed them from most "civilized" areas. The feeling seems to be mutual; most predators will avoid areas of human activity if they can. If domestic rabbits are released in an area where the local predators are too small or too few to keep them under control, the unnaturally large litter size of the domestic rabbit, plus its unnatural ability to breed year-round, can lead to a fairly large population in a relatively short time. As SillyChicken said, they can become very distructive. Feral rabbits, while very skittish, lack the truly wild instinct to avoid people, and usually live very close to humans, digging up plantings, eating gardens, and generally making a nuisance of themselves.