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Ch. 4 - Modification of Mendelian Ratios
Klug - Essentials of Genetics 10th Edition
Klug10th EditionEssentials of GeneticsISBN: 9780135588789Not the one you use?Change textbook
Chapter 4, Problem 17

In pigs, coat color may be sandy, red, or white. A geneticist spent several years mating true-breeding pigs of all different color combinations, even obtaining true-breeding lines from different parts of the country. For crosses 1 and 4 in the following table, she encountered a major problem: her computer crashed and she lost the data. She nevertheless persevered and, using the limited data shown here, was able to predict the mode of inheritance and the number of genes involved, as well as to assign genotypes to each coat color. Attempt to duplicate her analysis, based on the available data generated from the crosses shown.
When you have formulated a hypothesis to explain the mode of inheritance and assigned genotypes to the respective coat colors, predict the outcomes of the generations where the data were lost.

Verified step by step guidance
1
Step 1: Carefully examine the available data from the crosses provided in the table, focusing on the phenotypes (sandy, red, white) and their corresponding offspring ratios. Identify which crosses have complete data and which are missing (crosses 1 and 4).
Step 2: Formulate hypotheses about the mode of inheritance by considering common genetic patterns such as dominance, recessiveness, incomplete dominance, or epistasis. Since there are three phenotypes, consider whether one or two genes might be involved and how their alleles could interact to produce these colors.
Step 3: Assign tentative genotypes to each coat color based on the observed phenotypic ratios in the crosses with complete data. For example, if sandy is dominant over red and white, or if two genes interact to produce the colors, write down possible allele combinations (e.g., AAbb, aaBB, AaBb) that could explain the phenotypes.
Step 4: Use the genotypes assigned to the parental pigs in the known crosses to predict the expected genotypic and phenotypic ratios in their offspring. Check if these predictions match the observed data to validate your hypothesis about the mode of inheritance and number of genes involved.
Step 5: Apply your validated genetic model to predict the outcomes (genotypic and phenotypic ratios) of the crosses 1 and 4 where data were lost. Use Punnett squares or probability calculations based on the assigned genotypes to determine the expected distribution of coat colors in the offspring.

Key Concepts

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

Modes of Inheritance

Modes of inheritance describe how traits are transmitted from parents to offspring, including dominant, recessive, codominant, and polygenic patterns. Understanding these patterns helps predict offspring phenotypes based on parental genotypes, which is essential when analyzing coat color inheritance in pigs.
Recommended video:
Guided course
05:13
Organelle Inheritance

True-Breeding Lines and Genotype Assignment

True-breeding lines are populations that consistently produce offspring with the same phenotype, indicating homozygosity for the trait. Identifying true-breeding lines allows geneticists to assign genotypes to phenotypes, which is critical for deducing the genetic basis of traits like coat color.
Recommended video:
Guided course
13:08
Epistatic Genes

Predicting Genetic Cross Outcomes

Predicting outcomes of genetic crosses involves using known genotypes and inheritance patterns to forecast offspring phenotypes and genotypes. This skill is vital when data are missing, as it enables reconstruction of lost results and validation of hypotheses about gene number and interaction.
Recommended video:
Guided course
26:08
Trihybrid Cross
Related Practice
Textbook Question

While vermilion is X-linked in Drosophila and causes the eye color to be bright red, brown is an autosomal recessive mutation that causes the eye to be brown. Flies carrying both mutations lose all pigmentation and are white-eyed. Predict the F₁ and F₂ results of the following crosses:

vermilion females x brown males

470
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Textbook Question

While vermilion is X-linked in Drosophila and causes the eye color to be bright red, brown is an autosomal recessive mutation that causes the eye to be brown. Flies carrying both mutations lose all pigmentation and are white-eyed. Predict the F₁ and F₂ results of the following crosses:

brown females x vermilion males

1639
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Textbook Question

While vermilion is X-linked in Drosophila and causes the eye color to be bright red, brown is an autosomal recessive mutation that causes the eye to be brown. Flies carrying both mutations lose all pigmentation and are white-eyed. Predict the F₁ and F₂ results of the following crosses:

white females x wild-type males

1884
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Textbook Question

A geneticist from an alien planet that prohibits genetic research brought with him to Earth two pure-breeding lines of frogs. One line croaks by uttering 'rib-it rib-it' and has purple eyes. The other line croaks more softly by muttering 'knee-deep knee-deep' and has green eyes. With a newfound freedom of inquiry, the geneticist mated the two types of frogs, producing F₁ frogs that were all utterers and had blue eyes. A large F₂ generation then yielded the following ratios:

27/64 blue-eyed, 'rib-it' utterer

12/64 green-eyed, 'rib-it' utterer

9/64 blue-eyed, 'knee-deep' mutterer

9/64 purple-eyed, 'rib-it' utterer

4/64 green-eyed, 'knee-deep' mutterer

3/64 purple-eyed, 'knee-deep' mutterer

How many total gene pairs are involved in the inheritance of both traits? Support your answer.

490
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Textbook Question

A geneticist from an alien planet that prohibits genetic research brought with him to Earth two pure-breeding lines of frogs. One line croaks by uttering 'rib-it rib-it' and has purple eyes. The other line croaks more softly by muttering 'knee-deep knee-deep' and has green eyes. With a newfound freedom of inquiry, the geneticist mated the two types of frogs, producing F₁ frogs that were all utterers and had blue eyes. A large F₂ generation then yielded the following ratios:

27/64 blue-eyed, 'rib-it' utterer

12/64 green-eyed, 'rib-it' utterer

9/64 blue-eyed, 'knee-deep' mutterer

9/64 purple-eyed, 'rib-it' utterer

4/64 green-eyed, 'knee-deep' mutterer

3/64 purple-eyed, 'knee-deep' mutterer

Of these, how many are controlling eye color? How can you tell? How many are controlling croaking?

576
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Textbook Question

A geneticist from an alien planet that prohibits genetic research brought with him to Earth two pure-breeding lines of frogs. One line croaks by uttering 'rib-it rib-it' and has purple eyes. The other line croaks more softly by muttering 'knee-deep knee-deep' and has green eyes. With a newfound freedom of inquiry, the geneticist mated the two types of frogs, producing F₁ frogs that were all utterers and had blue eyes. A large F₂ generation then yielded the following ratios:

27/64 blue-eyed, 'rib-it' utterer

12/64 green-eyed, 'rib-it' utterer

9/64 blue-eyed, 'knee-deep' mutterer

9/64 purple-eyed, 'rib-it' utterer

4/64 green-eyed, 'knee-deep' mutterer

3/64 purple-eyed, 'knee-deep' mutterer

Assign gene symbols for all phenotypes and indicate the genotypes of the P₁ and F₁ frogs.

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