In a line of cherry tomatoes, the average fruit weight is 16 g. A plant producing tomatoes with an average weight of 12 g is used in one self-fertilization cross to produce a line of smaller tomatoes, and a plant producing tomatoes of 24 g is used in a second cross to produce larger tomatoes. If narrow sense heritability (h²) for this trait is 0.80, what are the expected responses to selection (R) for fruit weight in the crosses?
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 19
Textbook Question
In a population of 100 inbred, genotypically identical rice plants, variance for grain yield is 4.67. What is the heritability for yield? Would you advise a rice breeder to improve yield in this strain of rice plants by selection?

1
Understand the concept of heritability: Heritability (H²) is the proportion of phenotypic variance in a population that is attributable to genetic variance. In this case, the rice plants are genotypically identical, meaning there is no genetic variance.
Identify the components of phenotypic variance: Phenotypic variance (Vp) is the sum of genetic variance (Vg) and environmental variance (Ve). Since the plants are inbred and genotypically identical, Vg = 0, and Vp = Ve.
Calculate heritability: Use the formula H² = Vg / Vp. Substitute Vg = 0 and Vp = 4.67 into the formula. This will show that heritability is zero because there is no genetic variance.
Interpret the result: Since heritability is zero, the observed variance in grain yield is entirely due to environmental factors, not genetic differences.
Advise the rice breeder: Selection to improve yield in this strain of rice plants would not be effective because heritability is zero, meaning genetic selection cannot influence the trait. The breeder should focus on optimizing environmental conditions instead.

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Heritability
Heritability is a measure of how much of the variation in a trait, such as grain yield, can be attributed to genetic differences among individuals in a population. It is expressed as a ratio, ranging from 0 to 1, where a higher value indicates a greater genetic contribution to the observed variation. Understanding heritability helps breeders determine the potential effectiveness of selection for improving traits.
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Variance
Variance is a statistical measure that indicates the degree of variation or spread in a set of values. In the context of genetics, it reflects how much individual traits, like grain yield, differ from the average within a population. A higher variance suggests a greater potential for selection to influence the trait, as there is more variation to select from.
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Selection in Breeding
Selection in breeding refers to the process of choosing individuals with desirable traits to reproduce, thereby increasing the frequency of those traits in future generations. In the case of rice plants, if heritability is high, it suggests that selection could effectively improve grain yield. Conversely, if heritability is low, selection may not lead to significant improvements.
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