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MICHAEL HEMANN: So let's actually put in some units
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here.
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So we have a cross, and the cross
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is a cross between a female that's
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w plus m minus and w minus m plus.
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And here I've introduced a new nomenclature.
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This line here, this bar indicates
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that these alleles are in the same chromosome
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and they're potentially linked with one another.
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And so we're going to cross with a male,
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and the male is w plus m plus over y right.
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The advantage of looking at the X chromosome
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here is that looking at the results in males,
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we can see all of the phenotypes immediately, because they only
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have one X chromosome.
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So the phenotypes are essentially
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equal to the genotypes in the males.
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So we can have different kinds of males.
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The males can be w plus m minus, w minus m plus, w plus m
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plus w minus, m minus.
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We can come up with some numbers.
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This is just a random experiment.
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So say we get 23, 33, six, and seven.
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Now during this cross, the females
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are less interesting, because just by looking at them,
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we can't tell their genotype, because everything
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is on top of this wild-type allele that's
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inherited from the father.
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So all of these phenotypes are essentially
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going to be wild type, so w plus m plus phenotypes
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when we look at females.
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So in this case, how many crossover gametes do we have?
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Right, 13.
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We have 13 crossover gametes.
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These two, these now w plus m plus and w minus m minus,
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they're not there in the mother there.
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So they had to come via some crossover event.
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So we're going to say the number of centimorgans
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equals 100 times 13, which is the number of crossover
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gametes divided by the number of total gametes, which
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is 23 plus 33 plus six plus seven equals 69, which
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equals 19 centimorgans.
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So these are 19 centimorgans across.
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So this is randomly generated data, experimental data.
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And more or less, we can assume a Poisson distribution.
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And so in a Poisson distribution,
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if you have a mean of n, then the standard deviation
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is the square root of n.
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And so this is something that we can think about
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in terms of what is the distance, plus or minus
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the standard deviation, by saying this
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is essentially 100 times 13 plus or minus
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the square root of 13 over 69, which
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equals 19 plus or minus 5.2 centimorgans.
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So this is roughly the distance between the wingless
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and the white-eyed genes on the X chromosome.
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