/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 18 Orange coat color in cats is due... [FREE SOLUTION] | 91Ó°ÊÓ

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Orange coat color in cats is due to an X-linked allele \(\left(\mathrm{X}^{O}\right)\) that is codominant with the allele for black \(\left(\mathrm{X}^{+} ;\right.\) see Chapter 4 for X-linked inheritance). When genotypes at the orange locus were determined for a sample of cats in Minneapolis and St. Paul, Minnesota, the following data were obtained: $$\begin{array}{ll} \mathrm{X}^{0} \mathrm{X}^{0} \text { females } & 11 \\ \hline \mathrm{X} ^{0} {\mathrm{X}}^{+} \text {females } & 70 \\ \hline \mathrm{X}^{+} \mathrm{X}^{+} \text {females } & 94 \\ \hline \mathrm{X}^{0} \mathrm{Y} \text { males } & 36 \\ \hline \mathrm{X}^{+} \mathrm{Y} \text { males } & 112 \end{array} $$ Calculate the frequencies of the \(\mathrm{X}^{0}\) and \(X^{+}\) alleles for this population.

Short Answer

Expert verified
The frequency of the ^O allele is approximately 0.257, and the frequency of the X^+ allele is approximately 0.743.

Step by step solution

01

Determine Total Number of Alleles

To calculate allele frequencies, we first need to determine the total number of alleles in the population. Since each female cat has two X chromosomes and each male has one X chromosome, calculate the total number of X alleles: Total Females = 11 + 70 + 94 = 175; Total Males = 36 + 112 = 148. Thus, there are 2 * 175 = 350 X alleles from females and 1 * 148 = 148 X alleles from males, resulting in a total of 350 + 148 = 498 X alleles.
02

Calculate Frequency of ^O Allele

Next, count the occurrence of the ^O allele from both males and females: Females contribute 11 * 2 + 70 * 1 = 92 ^O alleles. Males contribute 36 * 1 = 36 ^O alleles. The total number of ^O alleles is 92 + 36 = 128. Thus, the frequency of ^O is calculated as \(\frac{128}{498}\approx 0.257\).
03

Calculate Frequency of X^+ Allele

Now, calculate the frequency of the X^+ allele: Females contribute 70 * 1 + 94 * 2 = 258 X^+ alleles. Males contribute 112 * 1 = 112 X^+ alleles. The total number of X^+ alleles is 258 + 112 = 370. Thus, the frequency of X^+ is calculated as \(\frac{370}{498}\approx 0.743\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Codominant Alleles
Codominant alleles are fascinating because they allow both alleles in a gene pair to be equally expressed in the phenotype. Unlike dominant and recessive alleles, where only one allele's trait is visible, codominant alleles show traits that are both visibly distinct. An example of this is in the coat color of cats, where the orange allele ( X^{O} ) and the black allele ( X^{+} ) can both appear, resulting in different coat colors.
In the Minneapolis and St. Paul cat populations, the genotypes X^{O} X^{O} , X^{O} X^{+} , and X^{+} X^{+} reflect these codominant patterns. In these cats, females with the genotype X^{O} X^{+} show a tortoiseshell pattern, where both colors, orange and black, are clearly visible and separate. This is because neither allele can mask the other's presence. Therefore, codominance can lead to an increased mutation visibility within populations, helping us study genetic diversity among sexes.
Allele Frequency
Understanding allele frequency is vital in genetic studies as it reveals how often certain alleles appear within a given population. To calculate allele frequencies, we observe how these alleles are distributed across the genotypes for the entire population. In our example, assessing allele frequencies helps us understand the genetic makeup of the cat population in terms of color traits.
To find the frequency of the orange allele ( X^{O} ), we totaled the alleles from all cats, noting the distinction between male and female contributions due to their different chromosome counts. With allele frequency values calculated as approximately 0.257 for X^{O} and 0.743 for X^{+} , this demonstrates that the black allele is more prevalent in this sample. Exploring these frequencies offers insights into how traits are maintained or change over time in a given population, leading to further studies in genetic drift or natural selection.
Genetics of Coat Color
Coat color in cats is a rich field of study in genetics, especially when examining the inheritance based on X-linked alleles. Color variation, controlled by these genetic elements, depends on the types of alleles present on the X-chromosome. In our example, with codominant alleles X^{O} for orange and X^{+} for black, diverse color patterns arise like entirely orange coats, entirely black coats, or a mix like tortoiseshell.
This variation is crucial for understanding how such genes are inherited differently across sexes. Male cats inherit only one X chromosome, leading them to express whichever coat color allele is present, producing either an orange or black coat. Female cats, with two X chromosomes, can express codominance, showing both colors together if they have both alleles. These traits provide a tangible example of X-linked inheritance, especially in how it influences observable characteristics, making coat color a popular study area for real-world genetics applications.

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Most popular questions from this chapter

Compare and contrast the effects of mutation, migration, genetic drift, and natural selection on genetic variation within populations and on genetic divergence between populations.

Sampling error leads to genetic drift. Sampling error can also occur in genetic crosses. Assume that the following cross is carried out: \(A a \times a a .\) Where in this cross could sampling error occur, and how would it affect the outcome of the cross? (See Chapter 3 for a review of genetic crosses.)

Tay-Sachs disease is an autosomal recessive disorder (see section 6.2 in Chapter 6 ). Among Ashkenazi Jews, the frequency of Tay-Sachs disease is 1 in 3600 . If the Ashkenazi population is mating randomly with respect to the Tay- Sachs gene, what proportion of the population consists of heterozygous carriers of the Tay-Sachs allele?

In a large, randomly mating population, the frequency of the allele (s) for sickle-cell hemoglobin is \(0.028 .\) The results of studies have shown that people with the following genotypes at the beta-chain locus produce the following average numbers of offspring: $$ \begin{array}{ll} \text { Genotype } & \text { Average number of offspring produced } \\ \hline \text { SS } &\qquad \qquad \qquad \qquad 5 \\ \text { Ss } & \qquad \qquad \qquad \qquad 6 \\ \text { ss } & \qquad \qquad \qquad \qquad 0 \end{array} $$ a. What will the frequency of the sickle-cell allele (s) be in the next generation? b. What will the frequency of the sickle-cell allele be at equilibrium?

The frequency of allele \(A\) in a population is 0.8 , and the frequency of allele \(a\) is \(0.2 .\) If the population mates randomly with respect to this locus, give all the possible matings among the genotypes at this locus and the expected proportion of each type of mating.

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