Biology: The Dynamic Science (MindTap Course List)
Biology: The Dynamic Science (MindTap Course List)
4th Edition
ISBN: 9781305389892
Author: Peter J. Russell, Paul E. Hertz, Beverly McMillan
Publisher: Cengage Learning
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Chapter 21.2, Problem 3SB
Summary Introduction

To review:

When the genotype frequencies stop changing, if the conditions of the Hardy-Weinberg principle are met.

Introduction:

The Hardy-Weinberg principle describes the establishment of genotype frequencies in sexually-reproducing organisms. Genetic equilibrium will be achieved if the given conditions are followed:

1) No mutations occur in a population.

2) Population is closed to migration from other population.

3) Individuals in a population mate randomly with their genotypes.

4) All genotypes in a population survive and are able to reproduce.

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Suppose there is an autosomal locus of 2 alleles, A1 and A2, with probabilities (frequencies) p1 and p2, and the genotype probabilities (frequencies) are P(A1A1) = p1*p1, P(A1A2) = 2*p1*p2, and P(A2A2) = p2*p2, respectively. Prove the Hardy-Weinberg Law, i.e., after one generation of random mating, the genotype probabilities (frequencies) in the offspring are also P(A1A1) = p1*p1, P(A1A2) = 2*p1*p2, and P(A2A2) = p2*p2. Hint: List all possible combinations of random mating. Then list the probabilities of the resulting genotype probabilities (frequencies) in the offspring. Combine the probabilities of random mating and resulting genotype probabilities (frequencies) in the offspring.
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