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Week 10: Quantitative Genetics
Joe Felsenstein
Genome 562
Week 10: Quantitative Genetics – p.1/11
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The Biometricians
Francis Galton (1822-1911) Karl Pearson (1857-1936)
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Francis Galton sees a law of heredity
... or what he thinks is one. These days we’d just say he saw a bivariatenormal distribution.
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Ronald Aylmer Fisher (1890-1962)
about 1930 in 1952
Fisher, R. A. 1918. The correlation between relatives on the supposition ofmendelian inheritance. Philosophical Transactions of the Royal Society ofEdinburgh, 52: 399 – 433.
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A one-locus quantitative character
Week 10: Quantitative Genetics – p.5/11
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A two-locus quantitative character
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Distributions with different numbers of locin = 1 n = 2
n = 10n = 5
Each has a number of completely dominant loci (all of equal effect), withsize of effects scaled so that overall genetic variance is equal, and with an
environmental effect that contributes 20% of the variation.Week 10: Quantitative Genetics – p.7/11
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Regression of offspring on a parent
6 8 10 12 14
6
8
10
12
14
Off
sp
rin
g
Parent
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Regression of offspring on a parent
−4 −2 0 2 4
−4
−2
0
2
4
Parent − Mean
Off
sp
rin
g −
Mean
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Regression of effects at one locus on gene dose
a12
a11
a22
0 1 2
11
12
22
x (dosage of A )1
a
δ
δ
δ
+1 1
α α
+α αα α+
1 22 2
ij
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Jay L. Lush (1896-1982)
about 1960 Animal Breeding Plans
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