In corn, the map of chromosome 4 is shown where w, s, and e represent recessive mutant alleles, affecting the color and shape of pollen.
A cross of +++/+++ x wse/wse is made. The F1 obtained is crossed with a homozygous recessive organism in a testcross. Assuming no interference, the proportion of different genotypes can be calculated.
Since, w and s are 8 m.u. apart; crossing over occurs only 8% of the time. The remaining 92% of the time, crossing over does not occur. Similarly, as s and e are 14 m.u. apart, crossing over occurs only 14% of the time. The remaining 86% of the time, crossing over does not occur.
a) +++:
This is a parental genotype. The frequency of parentals can be calculated in this way:
Half of this number would be the frequency of the genotype +++. This can be shown as:
b) Wse:
This is a parental genotype. The frequency of parentals can be calculated in this way:
Half of this number would be the frequency of the genotype wse which is shown:
c) +se:
This genotype needs a crossover between w and s. The frequency that shows recombination between these two genes would be:
Half of this number would be the frequency of the genotype +se, shown as:
d) w++:
This genotype needs a crossover between w and s. The frequency that shows recombination between these two genes would be:
Half of this number would be the frequency of the genotype w++. This can be shown as:
e) ++e:
This genotype needs a crossover between s and e. The frequency that shows recombination between these two genes would be:
Half of this number would be the frequency of the genotype ++e, shown as:
f) ws+:
This genotype needs a crossover between s and e. The frequency that shows recombination between these two genes would be:
Half of this number would be the frequency of the genotype ws+, shown as:
g) w+e:
This genotype needs a crossover between w, s, and s and e. The frequency that shows recombination between these two genes would be:
Half of this number would be the frequency of the genotype w+e, shown as:
h) +s+:
This genotype needs a crossover between w, s, and s and e. The frequency that shows recombination between these two genes would be:
Half of this number would be the frequency of the genotype +s+, shown as: