In corn, a triple heterozygote with mutant alleles was obtained. One allele was, for shrunken characteristic [s], one, for white aleurone [w], and one, for waxy endosperm[y]. All these defective alleles are paired with the normal alleles.
The triple heterozygote was crossed with a homozygous recessive organism and the progeny obtained is given below:
1. 116 – shrunken, white
2. 4 – wild type
3. 2538 – shrunken
4. 601 – shrunken, waxy
5. 626 – white
6. 2708 – white, waxy
7. 2 – shrunken, white, waxy
8. 113 - waxy
a) To determine, whether these genes are linked, we need to observe and see the results of the testcross are seen in the progeny.
The progeny can also be written with the genotypes as:
• 116 – shrunken, white – s/s ; w/w ; y+/-
• 4 – wild type – s+/- ; w+/- ; y+/-
• 2538 – shrunken – s/s ; w+/- ; y+/-
• 601 – shrunken, waxy - s/s ; w+/- ; y/y
• 626 – white - s+/- ; w/w ; y+/-
• 2708 – white, waxy - s+/- ; w/w ; y/y
• 2 – shrunken, white, waxy - s/s ; w/w ; y/y
• 113 – waxy - s+/- ; w+/- ; y/y
Total – 6708
The crossovers between white and shrunken are:
• s+/- ; w+/-
• s/s ; w/w -
• s+/- ; w/w -
• s/s ; w+/- -
Since, the 1:1:1:1 ratio is not seen, these genes are linked.
The crossovers between shrunken and waxy are:
• s+/- ; y+/-
• s+/-; y/y -
• s/s; y+/- -
• s/s ; y/y -
Since, the 1:1:1:1 ratio is not seen, these genes are linked.
The crossovers between white and waxy are:
• w+/- ; y+/-
• w+/-; y/y -
• w/w ; y+/-
• w/w ; y/y -
Since, the 1:1:1:1 ratio is not seen, these genes are linked.
The crossovers between white and shrunken are:
• s+/- ; w+/- 113 + 4
• s/s ; w/w – 116 + 2
Total: 235
The crossovers between shrunken and waxy are:
• s+/- ; y+/- 626 + 4
• s/s ; y/y – 601 + 2
Total: 1233
The gene distances can be determined in this way:
Between white and shrunken:
Between shrunken and waxy:
The map distances are shown:
b) The allele arrangement on the chromosomes of the triple heterozygote used in the test cross:
s + /s; w + /w; y + /y x s/s ; w/w ; y/y
c) Interference can be calculated based on the formula: