/*! 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 16 \({ }^{*}\) Voles ( Microtus och... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

\({ }^{*}\) Voles ( Microtus ochrogaster) were trapped in fields in southern Indiana and genotyped for a locus that encodes transferrin (a blood protein). The following numbers of genotypes were recorded, where \(T^{\mathrm{E}}\) and \(T^{\mathrm{F}}\) represent different alleles: $$ \begin{array}{cccc} T^{\mathrm{E}} T^{\mathrm{E}} & & T^{\mathrm{E}} T^{\mathrm{F}} & & T^{\mathrm{F}} T^{\mathrm{F}} & \\ \hline & & & \\ 407 & & 170 & & 17 \end{array} $$ Calculate the genotypic and allelic frequencies of the transferrin locus for this population.

Short Answer

Expert verified
Genotypic frequencies: \(T^E T^E = 0.685\), \(T^E T^F = 0.286\), \(T^F T^F = 0.029\). Allelic frequencies: \(T^E = 0.828\), \(T^F = 0.172\).

Step by step solution

01

Determine Total Number of Individuals

To find the frequencies, we first need to know the total number of voles. Add up the numbers for each genotype: 407 (for \(T^E T^E\)) + 170 (for \(T^E T^F\)) + 17 (for \(T^F T^F\)) = 594 voles.
02

Calculate Genotypic Frequencies

The genotypic frequency of each genotype is the count of individuals with that genotype divided by the total number of individuals. \[ f(T^E T^E) = \frac{407}{594} \approx 0.685 \]\[ f(T^E T^F) = \frac{170}{594} \approx 0.286 \]\[ f(T^F T^F) = \frac{17}{594} \approx 0.029 \]
03

Calculate Allelic Frequencies

The allelic frequency is calculated by counting each allele separately:- The frequency of \(T^E\), \( p \), is calculated as:\[ p = \frac{2(407) + 170}{2(594)} = \frac{984}{1188} \approx 0.828 \]- The frequency of \(T^F\), \( q \), is:\[ q = \frac{2(17) + 170}{2(594)} = \frac{204}{1188} \approx 0.172 \]
04

Verify Allelic Frequencies Sum to 1

Confirm that the calculated allelic frequencies add up to 1. \[ p + q = 0.828 + 0.172 = 1 \]This sum is correct, confirming our calculations are consistent.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

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

Allelic Frequency
Allelic frequency is a fundamental concept in population genetics. It represents how common a particular allele is within a population. For example, in the vole population, we are dealing with two alleles at the transferrin locus: \( T^E \) and \( T^F \). To find these frequencies, we consider each appearance of an allele in the genomes of the voles.

When calculating allelic frequencies, each homozygous genotype contributes twice, as it has two identical alleles. For instance, every vole with the \( T^E T^E \) genotype contributes two \( T^E \) alleles. In contrast, heterozygous genotypes like \( T^E T^F \) contribute one of each allele. Here's the formula to estimate allelic frequency if you're dealing with alleles \( A \) and \( a \):
  • frequency of \( A \), \( p = \frac{2(f_{AA}) + f_{Aa}}{2N} \)
  • frequency of \( a \), \( q = \frac{2(f_{aa}) + f_{Aa}}{2N} \)
Here, \( N \) is the total number of individuals, \( f_{AA} \), \( f_{Aa} \), and \( f_{aa} \) are the counts of each genotype, and the factor of 2 accounts for two alleles per individual. This calculation helps in understanding how alleles spread through generations.
Transferrin Locus
The transferrin locus is a specific position on the chromosome that encodes the protein transferrin. Transferrin plays a crucial role in the transportation and regulation of iron within the bloodstream. In the vole population study, the transferrin locus exists in two distinct alleles: \( T^E \) and \( T^F \). The study of these alleles provides insights into genetic diversity and allele distribution in populations.

The presence of multiple alleles at a locus, such as the \( T^E \) and \( T^F \), allows for increased genetic variation within a population. This variation can influence traits governed by the specific locus, affecting not just its physiological role, but also survival and adaptation.
  • \( T^E T^E \): Homozygous for allele \( T^E \)
  • \( T^E T^F \): Heterozygous; both alleles present
  • \( T^F T^F \): Homozygous for allele \( T^F \)
Understanding these genotypes at the transferrin locus provides valuable information about how an organism might cope with environmental changes or health challenges, depending on iron levels in their bodies.
Genetic Calculation
Genetic calculations like those performed here are essential for understanding allele and genotype distributions within a population. These calculations begin by determining the total number of individuals and then deriving genotype frequencies. With these figures, you can infer allelic frequencies.

For example, we calculated in the vole population that the genotype frequencies were approximately 0.685 for \( T^E T^E \), 0.286 for \( T^E T^F \), and 0.029 for \( T^F T^F \). This is done by dividing the number of individuals of each genotype by the total population size.
  • Genotypic frequencies give a snapshot of how often different genetic combinations occur.
  • Allelic frequencies, derived from genotypic frequencies, show how common each allele is individually.
  • It's crucial for allelic frequencies to sum to 1, as they represent the entire population's make-up.
These genetic calculations form the basis for more advanced studies in population genetics. They can help predict how alleles can shift over time due to factors like natural selection or genetic drift.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Give the genotypic frequencies expected under the HardyWeinberg law for (a) an autosomal locus with three alleles and (b) an X-linked locus with two alleles.

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?

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.

A certain form of congenital glaucoma is caused by an autosomal recessive allele. Assume that the mutation rate is \(10^{-5}\) and that people with this condition produce, on the average, only about \(80 \%\) of the offspring produced by people who do not have glaucoma. a. At equilibrium between mutation and selection, what will the frequency of the gene for congenital glaucoma be? b. What will the frequency of the disease be in a randomly mating population that is at equilibrium?

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

See all solutions

Recommended explanations on Biology Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.