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Similar in size, if you mean common pigeon as the rock dove.
A homing pigeon is just a variety of rock pigeon. A rock pigeon lives for 3 to 5 years in the wild, but for around 15 years in captivity.
Columbia livia. Common rock dove in the wild. Homing pigeon is one of several varieties of domesticated rock doves.
The name for the type of pigeon you see all over cities is the Rock Pigeon. It's scientific name is "Columba livia".
Europe. Introduced worldwide.