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l.31: Sentence starting "The UK Biobank..." is I think missing a word or two?
I love "pastwards"
you might clarify somewhere whether you want everyone to henceforth say gARG or eARG or if it's fine if people continue saying just ARG?
l.279: missing a ")" in the definition of E^x
"more information than the series of tree sequences along the genome": perhaps edit this to make the quote less weird? "more information than the series of tree[s]... along the genome"
l.501: you've got some ~s that were supposed to be non-breaking spaces
We've tried to convey that the term ARG is good for general use, and only use "gARG" when its actually important. I added a comment "(here, and throughout, we use the general term ``ARG'' when the details of the specific encoding are not important)." in the Ancestral material section, which will hopefully clarify. There's also a comment to this effect in the discussion.
The quote thing is really tricky. Their terminology is so confusing that I don't think there's much we can do about it - edits like you suggest would be very close to changing the actual text.
I've added you to the Ack'ed for helpful comments, just FYI
Looks great. A few minor comments:
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