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A note on deriving Hardy-Weinberg equilibrium

  

  1. 1. College of Science, Nanjing Forestry University, Nanjing 210037; 2. School of Life Science, Fudan University, Shanghai 200433, China
  • Online:2019-04-18 Published:2019-04-18

Abstract: Hardy-Weinberg (H-W) equilibrium is a fundamental model for population genetics. Classical mathematical model for the establishment of H-W equilibrium relies on the assumption that genotype frequencies are equal in males and females. In practice genotype frequencies for the two sexes maybe differ. In this study, we give the mathematical model for H-W equilibrium provided that the two sexes are unequal in genotype frequencies. We obtain the ultimate frequency for a given allele and find that if genotype frequencies differ between the sexes, it takes two generations of random mating to attain H-W equilibrium instead of only one generation of random mating.

Key words: Hardy-Weinberg equilibrium, genotype frequencies, random mating

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