with the help of an algebraic equation,how did hardy - wei berg explain that in a given population the frequency of occurrence of alleles of a gene is supposed to remain the same through generations?
Answers
This is a bionomial expansion of (p+q)2. The equation p2 + 2pq + q2 = 1,mathematically represents the Hardy-Weinberg’s principle. It is used to calculate the genetic variation of a population at equilibrium.
Principle -- It states that allele frequencies in a population are stable and remain constant from generation to generation.
In this equation,
p – frequency of allele A
q – frequency of allele a
p 2 – frequency of AA (homozygous) individuals in a population
q 2 – frequency of aa (homozygous) individuals
2pq – frequency of Aa (heterozygous) individuals
Also, the sum total of all the allelic frequencies is equal to 1. If the p and q allele frequencies are known, then the frequencies of the three genotypes can be calculated using the Hardy-Weinberg equation.
This equation can be used to measure the differences in frequencies of observed genotype measured from the frequencies predicated by the equation. The disturbance in genetic equilibrium results in evolution, thus the presence of any difference indicates the exent of evolutionary change.