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When alleles at a locus act in a semidominant fashion on fitness, the relative fitness of the heterozygote is midway between the two homozygous classes. For example, genotypes with semidominance at the \(A\) locus might have these relative fitnesses: \(w_{A / A}=1.0, w_{A / a}=\) \(0.9,\) and \(w_{a / a}=0.8\) a. Change one of these fitness values so that \(a / a\) becomes a deleterious recessive allele. b. Change one of these fitness values so that \(A / A\) becomes a favored dominant allele.

Short Answer

Expert verified
a) Change \(w_{a/a}\) to 0.5; b) Change \(w_{A/a}\) to 1.0.

Step by step solution

01

Understanding Semidominance

In semidominance, the fitness of the heterozygote genotype is the average of the two homozygous genotypes. Given the fitness values: \(w_{A/A} = 1.0\), \(w_{A/a} = 0.9\), and \(w_{a/a} = 0.8\), the heterozygote value is indeed midway between the two homozygotes.
02

Changing Heterozygote Value for Recessive Allele

To make \(a/a\) a deleterious recessive allele, its fitness should be the lowest, and it normally means that \(w_{a/a}\) should be substantially lower than \(w_{A/a}\). This can be achieved without changing the fact that \(w_{A/A}\) remains 1.0. So change \(w_{a/a}\) to a value significantly less than 0.8, say, 0.5. This maintains \(w_{A/A} > w_{A/a} > w_{a/a}\).
03

Changing Heterozygote Value for Dominant Allele

For \(A/A\) to be a favored dominant allele, \(A/A\) should retain the highest fitness value while the heterozygote \(A/a\) becomes closer or equal to \(A/A\). We can change \(w_{A/a}\) to be equal to \(w_{A/A}\), i.e., set \(w_{A/a} = 1.0\). Now, \(w_{A/A} = w_{A/a} > w_{a/a}\), indicating \(A/A\) is favored over \(a/a\).

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Key Concepts

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

Semidominance
Semidominance is an interesting concept in population genetics. It occurs when the heterozygote genotype's fitness is the average of both homozygous genotypes. This means when you have two different alleles, like in our original exercise, the middle ground is formed by the heterozygote.
This can be thought of as a seesaw, where each end represents the fitness of the homozygotes, and in the middle is the fitness of the heterozygote.
In our example with the alleles at the locus A, the fitness values are given as: \( w_{A/A} = 1.0 \), \( w_{A/a} = 0.9 \), and \( w_{a/a} = 0.8 \). Here, the fitness of the heterozygote \( A/a \) (0.9) sits precisely between the fitness of \( A/A \) (1.0) and \( a/a \) (0.8).
  • This characteristic is valuable for easily visualizing semidominance, where any shift in fitness values can alter genetic dynamics in the population.
Allele Fitness
Allele fitness refers to how well an allele can contribute to the next generation's gene pool. Essentially, it's all about an allele's ability to survive and reproduce, passing itself onto future generations.
Fitness values help specify how successful specific alleles will be compared to others, affecting the genotype's representation in offspring.
  • For example, if allele \( A \) has a high fitness value, as shown by \( w_{A/A} = 1.0 \), it indicates that individuals with the \( A/A \) genotype are very successful in reproducing and surviving.
  • If one of the alleles, say \( a \), is altered to have a lower fitness value \( w_{a/a} = 0.5 \), it turns into a deleterious recessive allele. This means that it has a significantly reduced presence in the following generation, as it is less likely to contribute positively to reproductive success.
A lower fitness value means less effective survival or reproduction, while higher values indicate the opposite. Alterations in fitness values are a crucial mechanism for evolutionary change.
Genotype Fitness
Genotype fitness involves the fitness of an organism depending on its genotype, which is derived from combining alleles from both parents. In population genetics, determining the fitness of a particular genotype is vital for understanding genetic variation and evolutionary potential.
In the given exercise, genotypes such as \( A/A \), \( A/a \), and \( a/a \) have particular fitness values which dictate their prevalence within a population.
  • It's important to note that genotype fitness is an integrative aspect, meaning it accounts for all genetic factors present at a locus.
  • For \( A/A \) to be favored, both \( A/A \) and \( A/a \) need to present higher fitness values than \( a/a \). Setting \( w_{A/a} = w_{A/A} \) maximizes the presence of allele \( A \).
Changes in genotype fitness can drive population change and evolution, showing why such calculations are crucial in population genetics research.

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Most popular questions from this chapter

Color blindness in humans is caused by an X-linked recessive allele. Ten percent of the males of a large and randomly mating population are color- blind. A representative group of 1000 people from this population migrates to a South Pacific island, where there are already 1000 inhabitants and where 30 percent of the males are color-blind. Assuming that Hardy-Weinberg equilibrium applies throughout (in the two original populations before the migration and in the mixed population immediately after the migration), what fraction of males and females can be expected to be color-blind in the generation immediately after the arrival of the migrants?

A population has the following gametic frequencies at two loci: \(A B=0.4, A b=0.1, a B=0.1,\) and \(a b=0.4 .\) If the population is allowed to mate at random until linkage equilibrium is achieved, what will be the expected frequency of individuals that are heterozygous at both loci?

In a randomly mating laboratory population of Drosophila, 4 percent of the flies have black bodies (encoded by the autosomal recessive \(b\) ), and 96 percent have brown bodies (the wild type, encoded by \(B\) ). If this population is assumed to be in Hardy-Weinberg equilibri\(\mathrm{um},\) what are the allele frequencies of \(B\) and \(b\) and the genotypic frequencies of \(B / B\) and \(B / b ?\)

What are the forces that can change the frequency of an allele in a population?

In a population of mice, there are two alleles of the \(A\) locus \(\left(A_{1} \text { and } A_{2}\right) .\) Tests showed that, in this population, there are 384 mice of genotype \(A_{1} / A_{1}, 210\) of \(A_{1} / A_{2},\) and 260 of \(A_{2} / A_{2} .\) What are the frequencies of the two alleles in the population?

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