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Chapter 27: Problem 8

In a population, the frequencies of two alleles are \(B=0.67\) and \(b=\) \(0.33\). The genotype frequencies are \(B B=0.50, B b=0.37\), and \(b b=\) \(0.13\). Do these numbers suggest inbreeding? Explain why or why not.

Short Answer

Expert verified
Yes, the given genotype frequencies suggest inbreeding in the population. This conclusion is based on the comparison between the given and calculated genotype frequencies from the application of the Hardy-Weinberg principle which shows discrepancies.

Step by step solution

01

Analyze given information

In this problem the frequencies of two alleles B and b are given as 0.67 and 0.33 respectively. Furthermore, the genotype frequencies are provided as BB=0.50, Bb=0.37, and bb=0.13.
02

Determine expected genotype frequencies

The Hardy-Weinberg principle suggests that if a population is in equilibrium (i.e., if there is no inbreeding), the genotype frequency can be calculated using the square of the binomial \( (p + q)^2 \), where \( p \) and \( q \) are the frequencies of the two individual alleles. Here, \( p \) corresponds to allele B (0.67) and \( q \) corresponds to allele b (0.33). So, the expected genotype frequencies are: BB = \( p^2 \) = \( (0.67)^2 \) = 0.4489, Bb = 2pq = 2*0.67*0.33 = 0.4418, and bb = \( q^2 \) = \( (0.33)^2 \) = 0.1089.
03

Compare expected and observed genotype frequencies

In this step, the expected genotype frequencies calculated in the previous step are compared with the observed frequencies provided in the problem statement. It can be observed that expected and actual genotype frequencies vary. For instance, the expected frequency for genotype BB is 0.4489, but the actual frequency is 0.50. Similarly, for the genotype bb, the expected frequency is 0.1089 while the actual frequency is 0.13. This discrepancy suggests that Hardy-Weinberg equilibrium is not met, indicating inbreeding in the population.

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Most popular questions from this chapter

What is the difference between a neutral and an adaptive evolutionary process? Describe two or more examples of each. At the molecular level, explain how mutations can be neutral or adaptive.

Cystic fibrosis (CF) is a recessive autosomal disorder. In certain populations of Northern European descent, the number of people born with this disorder is about 1 in 2500. Assuming HardyWeinberg equilibrium for this trait: A. What are the frequencies for the normal and \(\mathrm{CF}\) alleles? B. What are the genotype frequencies of homozygous normal, heterozygous, and homozygous affected individuals? C. Assuming random mating, what is the probability that two phenotypically unaffected heterozygous carriers will choose each other as mates?

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