This timeframe is based on:
* Archaeological evidence: Radiocarbon dating of archaeological sites and artifacts.
* Linguistic evidence: Comparing Māori language to Polynesian languages spoken in other parts of the Pacific.
* Oral traditions: Māori oral traditions, known as *whakapapa*, which trace their ancestry and migrations.
It's important to note that this is an estimated range, and there is ongoing research and debate about the exact date of arrival.