A diploid plant has three genes A, B, and C linked in the following way:
a) If we need to obtain a progeny of abc/abc genotype from selfing the plant Abc/aBC, both the gametes must be inherited from a crossover between A and B loci. The frequency of the abc gamete can be calculated in this way:
Therefore the frequency of the homozygous plant with abc/abc genotype would be:
b) When the plant Abc/aBC is crossed with the abc/abc plant, the progeny genotypes can be explained in the following way:
Since the parentals class includes those plants which have not experienced a crossover, their frequency can be calculated as:
Since each parental class should be represented equally:
Abc – 0.28 [half of 0.56]
aBC – 0.28 [half of 0.56]
The frequency of the ABC gamete would be:
The frequency of the ABc gamete would be:
This will also be the frequency of the other gamete abC.
Hence, the expected genotype results for 1000 progeny would be:
• Abc – 280
• aBC – 280
• ABC – 70
• Abc – 70
• AbC – 120
• aBc – 120
• ABc – 30
• abC – 30
c) Assuming 20% interference, we need to calculate the observed double crossover value:
The A-B distance:
The B-C distance:
The Parental:
Hence, for 1000 progeny, the expected genotypes are:
o Abc – 274
o aBC – 274
o ABC – 76
o Abc – 76
o AbC – 126
o aBc - 126
o ABc - 24
o abC - 24