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Ch. 25 - Quantitative Genetics and Multifactorial Traits
Klug - Concepts of Genetics  12th Edition
Klug12th EditionConcepts of Genetics ISBN: 9780135564776Not the one you use?Change textbook
Chapter 25, Problem 5b

Height in humans depends on the additive action of genes. Assume that this trait is controlled by the four loci R, S, T, and U and that environmental effects are negligible. Instead of additive versus nonadditive alleles, assume that additive and partially additive alleles exist. Additive alleles contribute two units, and partially additive alleles contribute one unit to height.
If an individual with the minimum height specified by these genes marries an individual of intermediate or moderate height, will any of their children be taller than the tall parent? Why or why not?

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1
Identify the genotypes and allele contributions for the four loci R, S, T, and U. Each locus can have alleles that contribute either 2 units (additive) or 1 unit (partially additive) to height.
Determine the minimum height genotype: this would be the individual having the alleles that contribute the least total units across all four loci. Calculate this minimum height by summing the contributions of the alleles at each locus.
Determine the intermediate (moderate) height genotype: this individual has a combination of alleles that results in a height value between the minimum and maximum possible. Calculate this height by summing the allele contributions at each locus.
Consider the possible genotypes of the children by combining alleles from both parents. Since alleles contribute additively or partially additively, the child's height is the sum of the contributions of the alleles inherited from each parent at all four loci.
Analyze whether any child can have a height greater than the tall parent by checking if the combination of alleles inherited can exceed the tall parent's total allele contribution. Because the minimum height parent has only low-contributing alleles, and the other parent is intermediate, the children cannot inherit more than the maximum alleles present in the tall parent, so no child will be taller than the tall parent.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Polygenic Inheritance

Polygenic inheritance refers to a trait controlled by multiple genes, each contributing additively to the phenotype. In this case, height is influenced by four loci (R, S, T, U), where the combined effect of alleles determines the overall height. This explains continuous variation in traits like height rather than discrete categories.
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Organelle Inheritance

Additive and Partially Additive Alleles

Additive alleles contribute a fixed amount to the trait value, while partially additive alleles contribute a smaller, intermediate amount. Here, additive alleles add two units to height, and partially additive alleles add one unit. Understanding these contributions helps predict offspring phenotypes based on parental genotypes.
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New Alleles and Migration

Genetic Potential and Phenotypic Limits

The maximum height an individual can achieve depends on the sum of allele contributions across all loci. If one parent has the minimum height genotype and the other an intermediate genotype, the children’s height will be limited by the highest possible allele combination inherited. This concept explains whether offspring can exceed the taller parent's height.
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Related Practice
Textbook Question

A dark-red strain and a white strain of wheat are crossed and produce an intermediate, medium-red F₁. When the F₁ plants are interbred, an F₂ generation is produced in a ratio of 1 dark-red: 4 medium-dark-red: 6 medium-red: 4 light-red: 1 white. Further crosses reveal that the dark-red and white F₂ plants are true breeding

Assign symbols to these alleles, and list possible genotypes that give rise to the medium-red and light-red phenotypes.

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Textbook Question

A dark-red strain and a white strain of wheat are crossed and produce an intermediate, medium-red F₁. When the F₁ plants are interbred, an F₂ generation is produced in a ratio of 1 dark-red: 4 medium-dark-red: 6 medium-red: 4 light-red: 1 white. Further crosses reveal that the dark-red and white F₂ plants are true breeding

Predict the outcome of the F1 and F2 generations in a cross between a true-breeding medium-red plant and a white plant.

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Textbook Question

Height in humans depends on the additive action of genes. Assume that this trait is controlled by the four loci R, S, T, and U and that environmental effects are negligible. Instead of additive versus nonadditive alleles, assume that additive and partially additive alleles exist. Additive alleles contribute two units, and partially additive alleles contribute one unit to height.

Can two individuals of moderate height produce offspring that are much taller or shorter than either parent? If so, how?

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Textbook Question

An inbred strain of plants has a mean height of 24 cm. A second strain of the same species from a different geographic region also has a mean height of 24 cm. When plants from the two strains are crossed together, the F₁ plants are the same height as the parent plants. However, the F₂ generation shows a wide range of heights; the majority are like the P₁ and F₁ plants, but approximately 4 of 1000 are only 12 cm high and about 4 of 1000 are 36 cm high.

What mode of inheritance is occurring here?

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Textbook Question

An inbred strain of plants has a mean height of 24 cm. A second strain of the same species from a different geographic region also has a mean height of 24 cm. When plants from the two strains are crossed together, the F₁ plants are the same height as the parent plants. However, the F₂ generation shows a wide range of heights; the majority are like the P₁ and F₁ plants, but approximately 4 of 1000 are only 12 cm high and about 4 of 1000 are 36 cm high.

How many gene pairs are involved?

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Textbook Question

An inbred strain of plants has a mean height of 24 cm. A second strain of the same species from a different geographic region also has a mean height of 24 cm. When plants from the two strains are crossed together, the F₁ plants are the same height as the parent plants. However, the F₂ generation shows a wide range of heights; the majority are like the P₁ and F₁ plants, but approximately 4 of 1000 are only 12 cm high and about 4 of 1000 are 36 cm high.

How much does each gene contribute to plant height?

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