first travellers begin to move from Asia through the islands By indiaconry Period: 2000 BCE to 1500 BCE first travellers begin to move from Asia through the Islands Period: 1500 BCE to 1000 BCE The Lapita people spread across Polynesia Period: 1000 BCE to 1000 BCE Samoa is settled Period: 300 to 500 Hawaiian islands settled Period: 700 to 700 Polynesians settle Rapa Nui (Easter Islands) Period: 1000 to 1000 Polynesians arrive at Aotearoa (New Zealand)