Question

4. Several years after the data in the previous problem was collected, Dr. Smith again collected western whiptail lizards from both the eastern and western populations relative to the Organ mountains. The years between the two collection years had been extremely dry with little available prey and a high degree of lizard predation. He wondered if an inbreeding had occurred in either population due to a decrease in size. Once again, he collected blood samples from individuals in both populations. He analyzed the samples and determined the alleles of the gene for the enzyme α-glycerol-phosphate dehydrogenase (α-GPD). Based upon the number of individuals below, he would like you to calculate the allele and genotypic frequencies of both populations and determine if both populations are in Hardy-Weinberg equilibrium. Also please determine if inbreeding has occurred relative to genotypic frequencies at the previous observation. If you believe that inbreeding has occurred, determine the degree of inbreeding. Please show him all of your work. Please minimize rounding. (12 points)

Genotype        Population 1                Population 2

CC                   258                              81

CD                  397                              162

DD                  346                              57

Answer 1

genotypic frequency of population 1

here genotypes are CC , CD , DD.

frequency of CC = 258 /1001 = 0.25

frequency of CD = 0.39

frequency of DD = 0.34

population 2

frequency of CC = 81/300 = 0.27

frequency of CD = 0.54

frequency of DD = 0.19

allelic frequency of population 1 and 2

allelic frequency of C and D

516 CC, 397+397 CD, 692 DD

C = 913 , 913/2002 = 0.45

D = 1089 , 1089/2002 = 0.54

the population 1 is in hardy weigh nberg equilibrium.

p 2 =

162CC,162+162 CD, 114 DD

C = 324 C, 324/600 = 0.54

D = 276 , 276/600 = .46

P 2 IS IS EQUILIBRIUM.

inbreeding Coefficient = F of P1

p = 0.46

q = 0.54

2*pq= 2*(0.46*0.54) = 0.49* 2002 = 981

F = 981-397/ 981 = 584/981 = 0.59

POPULATION 2

2PQ = 0.49* 600 = 294

F = 294-162/294 =132/294 = 0.44

used equation = # of exp hetrezy - # of obs hetrezy/ # of exp hetrezy.

this way we can calculate the inbreeding coefficient.