Maori whakapapa (genealogies) trace back their family line to one of several migration canoes, most of which fall in the region of 17-21 generations back (there are some outlier canoes which are older or more recent). Archaeologist Atholl Anderson (2015) has calculated using a mean generation length of 29.5 years, that this is consistent with a migration period that begins in the 13th century, peaks in the 14th century, and finishes in the 15th century. This is consistent with the archaelogical evidence (e.g. Wilmshurst et al 2008) which date the initial settlement of New Zealand being around the 13th century.

Anderson, A., Binney, J., Harris, A., 2015. Tangata whenua: a history. Bridget Williams Books, Wellington, New Zealand.