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Question 1 (10 pts). The genetic linkage among 3 gene loci in horses is being studied....

Question 1 (10 pts). The genetic linkage among 3 gene loci in horses is being studied. The loci are part of autosomal chromosomes and they MIGHT be on the same pair of homologous chromosomes. There are two alleles at each locus. At the coat color locus, allele B is for black, and b is for white. At the height locus, allele H is for tall, and h is for short. At the tail locus, allele T is for long, and t is for short.   Upper case alleles are completely dominant to their respective lower case allele. There are no interactions among the 3 loci.

A male horse with the phenotype black, tall and long-tailed was mated with a female horse that was white short and short-tailed. Those matings produced 800 progeny as described in the table:

Class #

Phenotypic Class of progeny

Number of progeny

1

Black, tall, long tail

250

2

Black, tall, short tail

13

3

Black, short, short tail

58

4

Black, short, long tail

63

5

White, short, long tail

15

7

White, short, short tail

290

6

White, tall, short tail

55

8

White, tall, long tail

56

total

800

What are the genotypes of the likely parental types of gametes produced by the male? (1 pt)

b. What locus is in the middle on the genetic map for these loci? (1 pt)

c. Calculate the recombination frequency between the coat color and the tail locus. Show your calculations. (2 pt)

           

Calculate the recombination frequency between the tail locus and the height locus. Show your calculations. (2 pt)

Calculate the recombination frequency between the coat color and the height locus. Show your calculations. (1 pt)

What is the expected frequency of double crossovers? Show your calculation. (1 pt)

           

What is the estimate of interference for these data? Show your calculation. (1 pt)

           

                       

If the 3 loci were segregating independently of each other, how many children would be expected in the genotypic class, “BbhhTt? (1 pt)

Solutions

Expert Solution

a). Male gametes’ genotypes are BHT, BHt, BhT, Bht, bHT, bHt, bhT & bht

b). Tail locus, T or t

c). The recombination frequency between the coat color(B) and the tail locus(T)= 17.75%d).

d). The recombination frequency between the tail locus (T) and the height locus (H)= 18.25%

e). The recombination frequency between the coat color(B) and the height locus(H)= 29.25%

f). The expected frequency of double crossovers = 3.2%

g). The estimate of interference for these data = -0.09

h). BhT/bht = 100

Because, in independent assortment, the assortment of gametes is equal the all progeny are produce en equal proportion (800/8=100)

Hint:

Parental genotypes are more than any type of recombinant progeny. Hence parental genotype is BHT/bht

Class #

Phenotypic Class of progeny

Number of progeny

Genotype

1

Black, tall, long tail

250

BHT

2

Black, tall, short tail

13

BHt

3

Black, short, short tail

58

Bht

4

Black, short, long tail

63

BhT

5

White, short, long tail

15

bhT

7

White, short, short tail

290

Bht

6

White, tall, short tail

55

bHt

8

White, tall, long tail

56

bHT

Total

800

1).

If single crossover occurs between B&H

Normal combination: BH/bh

After crossover: Bh/bH

Bh progeny= 58+63= 123

bH progeny = 55+56= 111

Total of this progeny = 234

The recombination frequency between B & H = (number of recombinants/Total progeny) 100

RF = (234/800)100 = 29.25%

2).

If single crossover occurs between H&T

Normal combination: HT/ht

After crossover: Ht/hT

Ht progeny= 13+55= 68

hT progeny = 15+63=78

Total this progeny = 146

The recombination frequency between H & T = (number of recombinants/Total progeny) 100

RF = (146/800)100 = 18.25%

3).

If single crossover occurs between B&T

Normal combination: BT/bt

After crossover: Bt/bT

Bt progeny= 13+58= 71

bT progeny = 15+56=71

Total this progeny = 142

The recombination frequency between B & T = (number of recombinants/Total progeny) 100

RF = (142/800)100 = 17.75%

Recombination frequency (%) = Distance between the genes (cM)

b-------18.25cM--------t------17.75cM-------h

Heterozygous genotype = b+ d+ c / b d c+

Double crossover genotype = b+ d c / b d+ c+

Expected double crossover frequency = (RF between b & t) * (RF between t & h)

= 0.1825 * 0.1775 = 0.032 = 3.2%

The observed double crossover frequency = 13+15/800=14/900 = 0.035

Coefficient of Coincidence (COC) = Observed double crossover frequency / Expected double crossover frequency

= 0.035/0.032

= 1.09

Interference = 1-COC

= 1-1.09 = -0.09


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