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  • Understanding the Hardy-Weinberg Equilibrium: Allele & Genotype Frequencies
    There's actually only one Hardy-Weinberg equation, but it's often represented in two forms, which are mathematically equivalent. Here's the breakdown:

    1. The allele frequency equation:

    * p + q = 1

    * p represents the frequency of the dominant allele in the population.

    * q represents the frequency of the recessive allele in the population.

    * This equation states that the sum of the frequencies of all alleles for a given trait must equal 1.

    2. The genotype frequency equation:

    * p² + 2pq + q² = 1

    * represents the frequency of individuals homozygous for the dominant allele.

    * 2pq represents the frequency of heterozygous individuals.

    * represents the frequency of individuals homozygous for the recessive allele.

    * This equation states that the sum of the frequencies of all genotypes for a given trait must equal 1.

    Important note: These equations are based on several assumptions:

    * No mutations: Allele frequencies don't change due to new mutations.

    * Random mating: Individuals choose mates without preference for any specific genotype.

    * No gene flow: There's no migration of individuals into or out of the population.

    * Large population size: The population is large enough to avoid random fluctuations in allele frequencies (genetic drift).

    * No natural selection: All genotypes have equal chances of survival and reproduction.

    If any of these assumptions are violated, the Hardy-Weinberg equilibrium will be disrupted, and allele and genotype frequencies will change over time.

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