In studies of human MZ and DZ twin pairs of the same sex who are reared together, the following concordance values are identified for various traits. Based on the values shown, describe the relative importance of genes versus the influence of environmental factors for each trait.
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
20. Quantitative Genetics
Heritability
Problem 22
Textbook Question
In a cross between a strain of large guinea pigs and a strain of small guinea pigs, the F₁ are phenotypically uniform, with an average size about intermediate between that of the two parental strains. Among 1014 F₂ individuals, 3 are about the same size as the small parental strain and 5 are about the same size as the large parental strain. How many gene pairs are involved in the inheritance of size in these strains of guinea pigs?

1
Step 1: Understand the problem. The inheritance of size in guinea pigs is being studied, and the F₁ generation shows intermediate size, suggesting incomplete dominance. The F₂ generation includes individuals resembling the parental strains, which can help determine the number of gene pairs involved.
Step 2: Recall the concept of polygenic inheritance. In polygenic traits, multiple gene pairs contribute to the phenotype. The number of phenotypic classes in the F₂ generation can be calculated using the formula: \( 2^n + 1 \), where \( n \) is the number of gene pairs.
Step 3: Use the information provided. Among 1014 F₂ individuals, 3 resemble the small parental strain and 5 resemble the large parental strain. These extreme phenotypes represent the two ends of the phenotypic spectrum.
Step 4: Calculate the proportion of individuals with extreme phenotypes. The proportion of extreme phenotypes in polygenic inheritance is given by \( \frac{1}{4^n} \), where \( n \) is the number of gene pairs. Use this formula to estimate \( n \).
Step 5: Solve for \( n \). Set \( \frac{1}{4^n} \) equal to the observed proportion of extreme phenotypes (\( \frac{3 + 5}{1014} \)) and solve for \( n \). This will give the number of gene pairs involved in the inheritance of size in guinea pigs.

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Mendelian Inheritance
Mendelian inheritance refers to the principles of heredity established by Gregor Mendel, which include the concepts of dominant and recessive traits. In this case, the size of guinea pigs is likely influenced by alleles that follow Mendelian ratios, where dominant traits mask the expression of recessive ones. Understanding these principles helps in predicting the phenotypic ratios in offspring based on parental genotypes.
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Phenotypic Ratio
The phenotypic ratio is the ratio of different phenotypes in the offspring resulting from a genetic cross. In this scenario, the F₁ generation shows an intermediate phenotype, suggesting incomplete dominance. The F₂ generation's phenotypic distribution can be analyzed to determine the number of gene pairs involved, as the ratio of phenotypes can indicate whether one or multiple gene pairs are influencing the trait.
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Polygenic Inheritance
Polygenic inheritance occurs when multiple gene pairs contribute to a single trait, resulting in a continuous range of phenotypes. In the case of guinea pig size, the intermediate size in the F₁ generation and the variation in the F₂ generation suggest that size is likely controlled by several genes. This concept is crucial for understanding the complexity of traits that do not follow simple Mendelian inheritance patterns.
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