Okay, now I'm confused.
Chapter 6: there are about 10 muggle-born English wizards per year.
Chapter 23: about one in four children of Squib couples are magical.
The exact distinction between Muggles and Squibs is not specified.
I haven't found in-MoR data on the population of Muggle England, but according to what I remember from having looked this up somewhere that I can't find again at the moment, there are about a million 11-year-old English Muggles.
Muggle-born wizards are so incredibly rare (10^-8) that it's not necessary to postulate heterozygous parents to explain them; they could easily be the result of random mutation.Wizard-born muggles and squibs are not addressed directly in MoR.
Harry and Draco's results imply that Squibs must be heterozygous, with magic recessive.
If magic is recessive, then all wizards are homozygous, and should never have nonmagical children. It is possible that "squib" doesn't mean the same thing in MoR as it does in canon. I dislike this option aesthetically, and if it is the case then I encourage Eliezer to change his mind.
I saw it suggested somewhere that squib children are born to witches who had affairs with muggles. If this is true, then squib children should be much less common to blood-purist parents. It would also explain why squibs are socially embarrassing, and might even explain the origin of the blood purity meme.
Actually, I really like that option.
If magic is recessive, though, then it's much harder for muggle-born wizards to arise by direct mutation; a single mutation would produce a heterozygous muggle -- that is to say, a squib. It's much more likely that they're descended from forgotten squib heritage; the smallness of the magical (and therefore wizard-born squib) population is sufficient to explain the rarity of muggle-born wizards.
Wizard-born muggles and squibs
In canon, the word ‘Squib’ means precisely a Wizard-born Muggle, just as ‘Mudblood’ means a Muggle-born Wizard. (The only thing that's not analogous is that the latter term is used only as a slur.)
The Harry Potter Wiki describes differences between Squibs and Muggles that are minor and could easily be cultural or due to spells that deliberately distinguish them. (In Book V, Mrs Figg claims that she can see Dementors, and the Ministry's ignorance of Squibs allows them to believe her, but Harry seems to think that she's lyi...
ETA: There is now a third thread, so send new comments there.
Since the first thread has exceeded 500 comments, it seems time for a new one, with Eliezer's just-posted Chapter 33 & 34 to kick things off.
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