10.1.3 The Hardy-Weinberg Equation Flashcards
Hardy-Weinberg equation
• Review: According to the Hardy-Weinberg theory, for nonevolving populations, sexual recombination alone will not alter the relative frequencies of alleles
• The Hardy-Weinberg equation is derived from the Hardy-Weinberg theory. The equation is used to predict allelic and genotypic frequencies in a nonevolving population. For a specific pair of alleles, the Hardy-Weinberg equation accounts for all of the genotypic frequencies of a population.
- The Hardy-Weinberg equation is p^2+ 2pq + q^2 = 1.
- The Hardy-Weinberg equation is often used in the study of populations. The equation can be used to calculate the frequencies of alleles in a gene pool if the frequencies of genotypes are known and vice versa.
- Review: The genotype is the allelic composition for a
particular trait. Alleles are different forms of a given gene.
- To the left are the initial components of the Hardy-Weinberg equation. In a given population, all of the alleles of a particular gene are represented in the equation. For a gene with two alleles, p equals the frequency of the dominant allele, and q is the frequency of the recessive allele. The total frequency = 1.
- The expression p^2+ 2pq + q^2 defines the complete
Hardy-Weinberg equation. - For the alleles A and a, the four possible genotypes are: AA, Aa, aA, and aa. The frequency of the dominant A allele = p. The frequency of the homozygous dominant AA genotype is (p)(p), or p
2. The expression 2pq is the frequency of the heterozygous genotype Aa. The expression q 2
represents the frequency of the homozygous recessive aa genotype.
- If the frequency of either allele is known, you can determine the frequency of the genotypes and vice versa.
Which of the following pieces of information would allow you to calculate the frequency of the homozygous dominant genotype for a given trait in a population?
- the frequency of the recessive allele
Which of the following is equal to the equation for the frequency of genotypes (p2 + 2pq + q2 = 1)?
- (p + q)^2
A randomly mating population has an established frequency of 25% (0.25) for organisms homozygous recessive for a given trait. The frequency of this recessive allele in the gene pool is
- 0.5
For a gene with two alleles in a given population, the total frequency (p + q) is:
- 1
What is the highest possible frequency of heterozygotes in a population for a gene with two alleles if the population is in Hardy–Weinberg equilibrium?
- 0.5
In a randomly mating population of animals called fuzzles the frequency of the dominant phenotype of pink fur is 64%. The recessive phenotype is white fur. The frequency of the pink fur allele is
- 0.4