Spain has a pigeon problem, and some cities are recruiting private pigeon catchers to trap the rats-with-wings using special net catapult devices. The technique involves two people and a catapult-sprung net device. One person feeds the pigeons to make sure that they are gathered neatly into a small space, while the other angles the net catapult. Once the birds are in place, the net is released over the birds to trap them before they can fly away.
http://www.youtube.com/watch?v=zwnz9B1xClE&feature=player_embedded