The following table shows data from a cross examining three genes (a, b, and c). Calculate the recombination frequency for A and C
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
4. Genetic Mapping and Linkage
Trihybrid Cross
Problem 12
Textbook Question
Three gene pairs located on separate autosomes determine flower color and shape as well as plant height. The first pair exhibits incomplete dominance, where the color can be red, pink (the heterozygote), or white. The second pair leads to personate (dominant) or peloric (recessive) flower shape, while the third gene pair produces either the dominant tall trait or the recessive dwarf trait. Homozygous plants that are red, personate, and tall are crossed to those that are white, peloric, and dwarf. Determine the F₁ genotype(s) and phenotype(s). If the F₁ plants are interbred, what proportion of the offspring will exhibit the same phenotype as the F₁ plants?

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Step 1: Identify the genotypes of the parental plants. The first gene pair exhibits incomplete dominance for flower color, so the homozygous red parent is represented as 'RR' and the homozygous white parent as 'rr'. The second gene pair determines flower shape, where personate (dominant) is 'PP' and peloric (recessive) is 'pp'. The third gene pair determines plant height, where tall (dominant) is 'TT' and dwarf (recessive) is 'tt'. Thus, the genotypes of the parents are 'RRPP TT' (red, personate, tall) and 'rrpp tt' (white, peloric, dwarf).
Step 2: Determine the F₁ genotypes by performing a cross between the parental genotypes. Since the first gene pair exhibits incomplete dominance, the F₁ offspring for flower color will all be heterozygous 'Rr', resulting in pink flowers. For the second and third gene pairs, the F₁ offspring will all be heterozygous 'Pp' (personate) and 'Tt' (tall), as these traits follow simple Mendelian dominance. Therefore, the F₁ genotype is 'RrPpTt'.
Step 3: Determine the F₁ phenotype. The F₁ plants will exhibit the dominant traits for flower shape and height (personate and tall, respectively) and the intermediate phenotype for flower color (pink) due to incomplete dominance. Thus, the F₁ phenotype is pink, personate, and tall.
Step 4: Predict the F₂ generation by interbreeding the F₁ plants ('RrPpTt' × 'RrPpTt'). Use a Punnett square or the forked-line method to calculate the genotypic and phenotypic ratios for each gene pair independently. For the first gene pair (incomplete dominance), the phenotypic ratio will be 1 red: 2 pink: 1 white. For the second and third gene pairs (Mendelian dominance), the phenotypic ratios will be 3 personate: 1 peloric and 3 tall: 1 dwarf, respectively.
Step 5: Calculate the proportion of F₂ offspring with the same phenotype as the F₁ plants (pink, personate, tall). Multiply the probabilities of each phenotype occurring independently: (2/4 for pink) × (3/4 for personate) × (3/4 for tall). This will give the proportion of F₂ offspring that exhibit the same phenotype as the F₁ plants.

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Incomplete Dominance
Incomplete dominance is a genetic phenomenon where the heterozygous phenotype is an intermediate blend of the two homozygous phenotypes. For example, in this case, crossing a red flower (homozygous) with a white flower (homozygous) results in pink flowers (heterozygous), illustrating how neither allele is completely dominant over the other.
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Variations on Dominance
Gene Interaction and Epistasis
Gene interaction refers to the way different gene pairs influence each other's expression, which can affect phenotypes. In this scenario, the flower shape and height traits are determined by separate gene pairs, but their interactions can lead to various combinations in the offspring, showcasing the complexity of inheritance patterns.
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Interacting Genes Overview
Punnett Square and Mendelian Ratios
A Punnett square is a tool used to predict the genotypes and phenotypes of offspring from genetic crosses. By setting up a Punnett square for the F₁ generation, one can determine the expected ratios of phenotypes in the offspring, which helps in understanding the inheritance patterns and calculating the proportion of offspring that exhibit specific traits.
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