Hardy-Weinberg Problem. Please help?
ID: 1211 • Letter: H
Question
Okay, so this problem is talking about a groupof people (10,000). 13.32% have blood type AB; 23.04% have O; 37.8%have A; and 25.96% have B. From this I calculated the followingallelic frequencies:I^A = .3
I^B = .22
i = .48
Now, for the next part, I'm supposed to assume that the populationhas increased to 25,000 people, and then give the new allelicfrequency. I'm supposed to use these later to find the newpopulation distributions, but I thought about it, and they didn'tgive me the percentages or anything. Am I supposed to assume theyare the same? And if so, won't the allelic frequency be the samewith 25,000 people as with 10,000?
Thank you in advance!!
(Please ask if you need any additional info, etc.)
(Also, I think my teacher made this up, so it wasn't in the book oranything.)
Okay, so this problem is talking about a groupof people (10,000). 13.32% have blood type AB; 23.04% have O; 37.8%have A; and 25.96% have B. From this I calculated the followingallelic frequencies:
I^A = .3
I^B = .22
i = .48
Now, for the next part, I'm supposed to assume that the populationhas increased to 25,000 people, and then give the new allelicfrequency. I'm supposed to use these later to find the newpopulation distributions, but I thought about it, and they didn'tgive me the percentages or anything. Am I supposed to assume theyare the same? And if so, won't the allelic frequency be the samewith 25,000 people as with 10,000?
Thank you in advance!!
(Please ask if you need any additional info, etc.)
(Also, I think my teacher made this up, so it wasn't in the book oranything.)
Explanation / Answer
I will start the problem from the second part. Firstly for any population to be in Hardy-Weinberg Equilibrium theallele & genotype frequencies should remain constant from one generation to the next i.e. no evolution should occur at the locus . As we know that for blood group allele I A & IB are codominant & both are dominant over i allele. Therefore blood group A can be IAi & type B can be IBi. As we know that for blood group allele I A & IB are codominant & both are dominant over i allele. Therefore blood group A can be IAi & type B can be IBi. For any locus with three alleles the Hardy - Weinberg equilibrium is given by ( p + q + r ) 2 =1 (1) p2 + q2 +r 2 + 2pq + 2pr + 2qr=1 (2) Here p , q , & r represent the allele frequency of I A I B & i ( 2pq represents genotype frequency of I AIB) The genotype frequency for each group is given in equation (2) The population distribution for each genotype can be calculated by multiplying each genotype frequency by the population size , such that when adding all the individuals of each genotypes the answer should equal the population size. For example ,taking from your calculation the allelic frequency for IA = 0.3 genotype frequency for this allele is I A * IA= 0.3*0.3= 0.09 Total number of individuals with this genotype =0.09*25000=2250 .(Hope this helps )Related Questions
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