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Basic concepts of population genetics - Bioversity International

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Locus A<br />

Locus B<br />

Locus D<br />

… with a dominant marker (continued)<br />

Locus A<br />

Locus B<br />

Locus D<br />

M 1 2 3 4 5 6 7 8 9 10<br />

M 1 2 3 4 5 6 7 8 9 10<br />

1 0 1 1 0 1 1 1 1 1<br />

0 1 0 0 0 1 0 0 1 0<br />

1 1 1 1 0 1 1 0 1 1<br />

Copyright: IPGRI and Cornell University, 2003 Population <strong>genetics</strong> 25<br />

25<br />

Individuals<br />

Here we have an example similar to that in the previous slide but with 10 individuals and three<br />

segregating loci (A, B, and D). (M = size marker.)<br />

Non-segregating bands (monomorphic) are not scored and thus are not included in the analysis.<br />

Below, we see the table with calculations <strong>of</strong> genotype and allele frequencies:<br />

Locus<br />

s<br />

A<br />

B<br />

D<br />

Genotypes<br />

Genotype freq. (exp.)<br />

Number <strong>of</strong> indivs.<br />

Genotype freq. (obs.)<br />

Genotypes<br />

Genotype freq. (exp.)<br />

Number <strong>of</strong> indivs.<br />

Genotype freq. (obs.)<br />

Genotypes<br />

Number <strong>of</strong> indivs.<br />

Genotype freq. (obs.)<br />

Data analysis<br />

A 1 _<br />

p 2 + 2pq<br />

8<br />

P 1 = 0.8<br />

B 1 _<br />

p 2 + 2pq<br />

3<br />

P 1 = 0.3<br />

D 1 _<br />

8<br />

P 1 = 0.8<br />

A 2 A 2<br />

B 2 B 2<br />

D 2 D 2<br />

2<br />

P 2 = 0.2<br />

Total<br />

Total<br />

10<br />

1<br />

Allele freq.<br />

0.55<br />

0.16<br />

q 1<br />

2<br />

p2 Genotype freq. (exp.) + 2pq<br />

p q<br />

q 2<br />

2<br />

P 2 = 0.2<br />

q 2<br />

7<br />

P 2 = 0.7<br />

Total<br />

1<br />

10<br />

1<br />

1<br />

10<br />

1<br />

p<br />

p<br />

0.55<br />

We cannot distinguish heterozygotes, but we can estimate the expected number <strong>of</strong><br />

heterozygotes in a <strong>population</strong>. For example, if sample size = 1000, then:<br />

For locus A, no. expected heterozygotes = 2pqN = 2(0.55)(0.45)(1000) = 495<br />

For locus B, no. expected heterozygotes = 2pqN = 2(0.16)(0.84)(1000) = 269<br />

and so on ...<br />

q<br />

0.45<br />

q<br />

0.84<br />

0.45

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