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Ch. 26 - Population and Evolutionary Genetics
Chapter 25, Problem 27

A form of dwarfism known as Ellis–van Creveld syndrome was first discovered in the late 1930s, when Richard Ellis and Simon van Creveld shared a train compartment on the way to a pediatrics meeting. In the course of conversation, they discovered that they each had a patient with this syndrome. They published a description of the syndrome in 1940. Affected individuals have a short-limbed form of dwarfism and often have defects of the lips and teeth, and polydactyly (extra fingers). The largest pedigree for the condition was reported in an Old Order Amish population in eastern Pennsylvania by Victor McKusick and his colleagues (1964). In that community, about 5 per 1000 births are affected, and in the population of 8000, the observed frequency is 2 per 1000. All affected individuals have unaffected parents, and all affected cases can trace their ancestry to Samuel King and his wife, who arrived in the area in 1774. It is known that neither King nor his wife was affected with the disorder. There are no cases of the disorder in other Amish communities, such as those in Ohio or Indiana.

From the information provided, derive the most likely mode of inheritance of this disorder. Using the Hardy–Weinberg law, calculate the frequency of the mutant allele in the population and the frequency of heterozygotes, assuming Hardy–Weinberg conditions.

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span>Step 1: Determine the mode of inheritance. Since all affected individuals have unaffected parents and the disorder is present in a specific population, it suggests an autosomal recessive inheritance pattern.</span
span>Step 2: Use the Hardy-Weinberg principle to calculate allele frequencies. Let q represent the frequency of the recessive allele. The frequency of affected individuals (homozygous recessive, q^2) is given as 5 per 1000 births, or 0.005.</span
span>Step 3: Solve for q by taking the square root of q^2. This gives q = \sqrt{0.005}.</span
span>Step 4: Calculate the frequency of the dominant allele (p) using the equation p + q = 1. Solve for p by subtracting q from 1.</span
span>Step 5: Calculate the frequency of heterozygotes (2pq) using the values of p and q obtained from the previous steps.</span

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Key Concepts

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

Ellis–van Creveld Syndrome

Ellis–van Creveld syndrome is a genetic disorder characterized by short-limbed dwarfism, dental anomalies, and polydactyly. It is inherited in an autosomal recessive manner, meaning that an individual must inherit two copies of the mutant allele to express the disorder. The syndrome's prevalence in specific populations, such as the Old Order Amish, highlights the role of genetic drift and founder effects in the distribution of genetic disorders.
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Mode of Inheritance

The mode of inheritance refers to the way genetic traits or disorders are passed from parents to offspring. In the case of Ellis–van Creveld syndrome, the fact that all affected individuals have unaffected parents suggests an autosomal recessive inheritance pattern. This means that both parents are carriers of one copy of the mutant allele, which does not affect their phenotype but can be passed on to their children.
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Hardy–Weinberg Principle

The Hardy–Weinberg principle provides a mathematical framework for understanding allele and genotype frequencies in a population under ideal conditions. It states that allele frequencies in a population will remain constant from generation to generation in the absence of evolutionary influences. By applying this principle, one can calculate the frequency of the mutant allele and the expected frequency of heterozygotes, which is essential for understanding the genetic dynamics of Ellis–van Creveld syndrome in the Amish population.
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Related Practice
Textbook Question

List the barriers that prevent interbreeding, and give an example of each.

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Textbook Question

What are the two groups of reproductive isolating mechanisms? Which of these is regarded as more efficient, and why?

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Textbook Question

A form of dwarfism known as Ellis–van Creveld syndrome was first discovered in the late 1930s, when Richard Ellis and Simon van Creveld shared a train compartment on the way to a pediatrics meeting. In the course of conversation, they discovered that they each had a patient with this syndrome. They published a description of the syndrome in 1940. Affected individuals have a short-limbed form of dwarfism and often have defects of the lips and teeth, and polydactyly (extra fingers). The largest pedigree for the condition was reported in an Old Order Amish population in eastern Pennsylvania by Victor McKusick and his colleagues (1964). In that community, about 5 per 1000 births are affected, and in the population of 8000, the observed frequency is 2 per 1000. All affected individuals have unaffected parents, and all affected cases can trace their ancestry to Samuel King and his wife, who arrived in the area in 1774. It is known that neither King nor his wife was affected with the disorder. There are no cases of the disorder in other Amish communities, such as those in Ohio or Indiana.

What is the most likely explanation for the high frequency of the disorder in the Pennsylvania Amish community and its absence in other Amish communities?

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Textbook Question

The original source of new alleles, upon which selection operates, is mutation, a random event that occurs without regard to selectional value in the organism. Although many model organisms have been used to study mutational events in populations, some investigators have developed abiotic molecular models. Soll et al. (2006. Genetics 175: 267-275) examined one such model to study the relationship between both deleterious and advantageous mutations and population size in a ligase molecule composed of RNA (a ribozyme). Soll found that the smaller the population of molecules, the more likely it was that not only deleterious mutations but also advantageous mutations would disappear. Why would population size influence the survival of both types of mutations (deleterious and advantageous) in populations?

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Textbook Question

A number of comparisons of nucleotide sequences among hominids and rodents indicate that inbreeding may have occurred more often in hominid than in rodent ancestry. Bakewell et al. (2007. Proc. Nat. Acad. Sci. [USA] 104: 7489-7494) suggest that an ancient population bottleneck that left approximately 10,000 humans might have caused early humans to have a greater chance of genetic disease. Why would a population bottleneck influence the frequency of genetic disease?

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Textbook Question

Recent reconstructions of evolutionary history are often dependent on assigning divergence in terms of changes in amino acid or nucleotide sequences. For example, a comparison of cytochrome c shows 10 amino acid differences between humans and dogs, 24 differences between humans and moths, and 38 differences between humans and yeast. Such data provide no information as to the absolute times of divergence for humans, dogs, moths, and yeast. How might one calibrate the molecular clock to an absolute time clock? What problems might one encounter in such a calibration?

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