A farmer plants transgenic Bt corn that is genetically modified to produce its own insecticide. Of the corn borer larvae feeding on these Bt crop plants, only 10 percent survive unless they have at least one copy of the dominant resistance allele B that confers resistance to the Bt insecticide. When the farmer first plants Bt corn, the frequency of the B resistance allele in the corn borer population is 0.02. What will be the frequency of the resistance allele after one generation of corn borers have fed on Bt corn?
Table of contents
- 1. Introduction to Genetics51m
- 2. Mendel's Laws of Inheritance3h 37m
- 3. Extensions to Mendelian Inheritance2h 41m
- 4. Genetic Mapping and Linkage2h 28m
- 5. Genetics of Bacteria and Viruses1h 21m
- 6. Chromosomal Variation1h 48m
- 7. DNA and Chromosome Structure56m
- 8. DNA Replication1h 10m
- 9. Mitosis and Meiosis1h 34m
- 10. Transcription1h 0m
- 11. Translation58m
- 12. Gene Regulation in Prokaryotes1h 19m
- 13. Gene Regulation in Eukaryotes44m
- 14. Genetic Control of Development44m
- 15. Genomes and Genomics1h 50m
- 16. Transposable Elements47m
- 17. Mutation, Repair, and Recombination1h 6m
- 18. Molecular Genetic Tools19m
- 19. Cancer Genetics29m
- 20. Quantitative Genetics1h 26m
- 21. Population Genetics50m
- 22. Evolutionary Genetics29m
21. Population Genetics
Allelic Frequency Changes
Problem 22b
Textbook Question
Tay–Sachs disease is an autosomal recessive neurological disorder that is fatal in infancy. Despite its invariably lethal effect, Tay–Sachs disease occurs at very high frequency in some Central and Eastern European (Ashkenazi) Jewish populations. In certain Ashkenazi populations, 1 in 750 infants has Tay–Sachs disease. Population biologists believe the high frequency is a consequence of genetic bottlenecks caused by pogroms (genocide) that have reduced the population multiple times in the past several hundred years. Explain how a genetic bottleneck and its aftermath could result in a population that carries a lethal allele in high frequency.

1
A genetic bottleneck occurs when a population undergoes a drastic reduction in size due to events such as natural disasters, disease outbreaks, or human actions like genocide. This reduction limits genetic diversity because only a small subset of individuals survive and reproduce.
During a bottleneck, alleles present in the surviving population may become disproportionately represented, regardless of whether they are beneficial, neutral, or harmful. This is due to random chance rather than natural selection.
If the surviving population includes individuals carrying a lethal recessive allele (such as the Tay–Sachs allele), the frequency of this allele can increase in the population simply because it is present in the reduced gene pool.
After the bottleneck, the population may begin to grow again, but the genetic diversity remains limited. The previously rare lethal allele may persist at a higher frequency because there is less genetic variation to dilute its presence.
In subsequent generations, the allele frequency can remain high, especially if the population remains relatively isolated (e.g., through cultural or geographic factors) and interbreeding within the group continues. This phenomenon is known as genetic drift, which can amplify the effects of the bottleneck over time.

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Genetic Bottleneck
A genetic bottleneck occurs when a population experiences a significant reduction in size due to environmental events or human activities, leading to a loss of genetic diversity. This reduction can result in certain alleles becoming more prevalent in the surviving population, as the genetic variation is limited to the alleles present in the few individuals that survive. Consequently, harmful alleles, such as those causing Tay-Sachs disease, can persist at higher frequencies.
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Descriptive Genetics
Autosomal Recessive Inheritance
Autosomal recessive inheritance refers to a pattern where two copies of a mutated gene (one from each parent) are necessary for an individual to express a trait or disorder. In the case of Tay-Sachs disease, individuals must inherit the defective allele from both parents to develop the condition. This means that carriers, who possess only one copy of the allele, do not show symptoms but can pass the allele to their offspring, allowing the allele to remain in the population.
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Autosomal Pedigrees
Founder Effect
The founder effect is a phenomenon that occurs when a small group of individuals establishes a new population, leading to a limited genetic pool. If the founders carry certain alleles, including those for genetic disorders, these alleles can become more common in the new population due to the reduced genetic diversity. In the context of Ashkenazi Jews, historical events that led to population bottlenecks may have resulted in a higher frequency of the Tay-Sachs allele among descendants.
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