Bamboo Pheasant?
The Chinese Bamboo Partridge, Bambusicola thoracicus, is a genetic ancestor to the Red Junglefowl and Grey Junglefowl, which gave us the modern chicken. Because bamboo drops is fruit once in 20 years, so the bamboo partridge developed the ability to eat huge amounts and then lay many more than when food is scarce. The Chinese call them Bamboo Pheasants.