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From that report it seems that the level of Denisovan DNA in modern Aya Magbukon is just under 4% (fig 3D), if I have understood it correctly. Otherwise they are about 90% Australasian, with 10-15% East Asian (Fig 1D).

So there was quite a bit of displacement of Denisovans, with some interbreeding.

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For comparison, if native Americans get assimilated into the US gene pool, they’ll be something like 2% of our genome.

No, 2% is the percentage of US population that identifies as Native Americans, but it's a highly mixed population. The percentage of actual NA DNA in the US gene pool is certainly much less than 1% at this point.

Yeah, I could be off with that ballpark figure. Was being generous and assuming that native genes amongst those who don’t identify as native would outweigh non native genes amongst those who do identify as native.

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