Easter Island, also called Rapa Nui, is a small island located in the southeastern Pacific Ocean that is considered a special territory of Chile.Easter Island is most famous for its large moai statues that were carved by native peoples between 1250 and 1500.aster Island's native population is believed to have overused its natural resources and collapsed. Some scientists and writers claim that global climate change and resource exploitation may lead to the planet collapsing as did the population on Easter Island.