Biology
General
Easy

Question

Genetic equilibrium refers to phenomenon that

  1. The traits remains constant in a population  
  2. The total genes remains constant in a population  
  3. The total genes keeps on varying in a population   
  4. Traits keeps on varying in a population  

The correct answer is: The total genes remains constant in a population


    Hardy-Weinberg Principle
    It was proposed by GH Hardy an English mathematician and W Weinberg a German physician independently in 1908

    (i) It describes a theoretical situation in which a population is undergoing no evolutionary change. This is called genetic or Hardy-Weinberg equilibrium

    (ii) It can be expressed as p to the power of 2 end exponent plus 2 p q plus q to the power of 2 end exponent equals 1 blankoropen parentheses p plus q close parentheses to the power of 2 end exponent equals 1

    (iii) Evolution occurs when the genetic equilibrium is up set (evolution is a departure from Hardy-Weinberg equilibrium principle)

    The sum of total of Allelic frequency open parentheses p plus q close parentheses i s equals 1

    p to the power of 2 end exponent plus 2 p q plus q to the power of 2 end exponentor open parentheses p plus q close parentheses to the power of 2 end exponent

    Where, p to the power of 2 end exponent equals percent sign homozygous dominant individuals

    p equals frequency of dominant allele

    q to the power of 2 end exponent equals percent sign homozygous recessive individuals

    q equals frequency of recessive allele

    2 p q equals percent sign heterozygous individuals

    Realize that open parentheses p plus q close parentheses to the power of 2 end exponent equals 1 (three are only 2 alleles)

    p to the power of 2 end exponent plus 2 p q plus q to the power of 2 end exponent equals 1 (these are the only genotypes)

    Example An investigator has determined by the inspection that 16% of a human population has a recessive trait. Using this information, we can calculate all the genotypes and allele frequencies for the population, provided the conditions for Hardy-Weinberg equilibrium are met

    Given q to the power of 2 end exponent equals 16 percent sign equals 0.16 are homozygous recessive individuals

    Therefore,

    q equals square root of 0.16 end root equals 0.4 equals frequency of recessive allele

    p equals 1.0 minus 0.4 equals 0.6 equals frequency of dominant allele

    p to the power of 2 end exponent equals 0.6 cross times 0.6 equals 0.36 or 36% are homozygous dominant individuals

    2 p q equals 2 cross times 0.6 cross times 0.4 equals 0.48 equals 48 percent sign are heterozygous individuals

    Or equals 1.00 minus 0.52

    equals 0.48

    Thus, 84% (36+48) have the dominant phenotype

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