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  • The allele frequencies must be the same as those of the parental generation.
  • Genotypes must occur with the frequencies predicted by Hardy-Weinberg: AA = p2, aa = q2 and Aa =2pq

Because of this, we can use information from a single offspring generation to test the hypothesis that individuals in the parental generation were all equally likely to survive and to produce surviving offspring and, therefore, that the population is not evolving with respect to this locus.

How does this work?

If parents are all equally likely to survive and to produce surviving offspring, then the allele frequencies of the offspring generation can be used as proxy for the allele frequencies of the parental generation. They should be identical if the no evolution condition is met.

Now we can use these hypothetical parental generation allele frequencies, that are based on the assumption of no evolution, in the Hardy-Weinberg equation to calculate the genotype frequencies we would see in the offspring generation if the population were not evolving with respect to these alleles.

Finally, we can draw a conclusion about whether a population is subject to an agent of evolution by comparing the genotype frequencies we calculated using Hardy-Weinberg to those we actually observe in the offspring generation.

To test your understanding of these relationships, answer the questions below.

What would you conclude about a) the actual similarity of the parental and offspring generation allele frequencies and b) whether the population was evolving if

  • The observed offspring genotype frequencies equaled those predicted by Hardy-Weinberg?
  • The observed offspring genotype frequencies did not equal those predicted by Hardy-Weinberg?
  • The parental generations allele frequencies must have been identical to those of the offspring, therefore the population is not evolving with respect to these alleles.
  • The offspring generation allele frequencies, which you used as a proxy for the parental allele frequencies, cannot be the same as those of the actual parental generation and therefore the population is evolving with respect to these alleles. This is true because actual offspring genotype frequencies did not equal those predicted by Hardy-Weinberg. The follow-up question would then be: what agent of evolution is responsible for this departure from genetic equilibrium?

Now, let’s apply this logic to an actual problem.

In the mid-1990's, researchers discovered that despite repeated exposure to HIV-1, a strain of the Human immunodeficiency virus (HIV), some individuals remained uninfected (Samson et al. , 1996).

Subsequent investigation revealed the existence of an allele that confers immunity to HIV-1 infection in homozygotes. This allele, known as delta- ccr-5 or CCR5-delta-32, is a mutant version of the cell-surface receptor protein CCR-5. It inhibits HIV infection because it codes for a form of the CCR-5 receptor to which HIV-1 viruses are unable to bind and, thus, to enter white blood cells and thereby establish an infection (Samson et al. , 1996).

For reasons unrelated to its effects on susceptibility to HIV-1 infection, this allele is found most commonly in caucasian Europeans and is absent or virtually absent from African, Asian, Middle Eastern and American Indian populations (Galvani and Slatkin, 2003). Table 1 contains original data from Samson et al. (1996) documenting the genotypes of 704 caucasian Europeans. Use these data to answer the questions that follow.

Table 1: the number of individuals homozygous for either the ccr-5 or ccr-5 allele or heterozygous for these two alleles in a sample of 704 caucasian europeans.
Genotype Number of Individuals
CCR-5/CCR-5 582
CCR-5/ ccr-5 114
ccr-5 / ccr-5 8
Total 704

Is this population of Europeans evolving with respect to this allele? How do you know? To answer this question, work your way through the steps below.

1. Review the question. Using information from earlier in this module or in related modules, complete the chart below on a piece of paper.

What do I need to know to answer this question? How do I get this information?

To answer this question, you need to know

  • the frequency with which the CCR-5 and ccr-5 alleles occur in this population
  • the genotype frequencies you would see if this population was not evolving with respect to these alleles
  • the actual genotype frequencies observed in this population

To get this information, you need to

  • calculate allele frequencies from the genotype frequencies provided in Table 1.
  • use these frequencies as a proxy for the allele frequencies of the generation that produced this population and calculate, via the Hardy-Weinberg equation, the genotype frequencies you would see if this population is not evolving with respect to these alleles.
  • calculate the actual genotype frequencies from the data provided in Table 1.
  • compare the expected versus actual genotype frequencies and draw a conclusion about whether this population is evolving with respect to these alleles.

Complete these steps and move on to the following problems to confirm your answers.

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Source:  OpenStax, Understanding the hardy-weinberg equation. OpenStax CNX. Oct 22, 2007 Download for free at http://cnx.org/content/col10472/1.1
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