HARDY WEINBERG LAW – FACTORS AFFECTING
EQUILIBRIUM
FREQUENCIES IN RANDOM MATING POPULATIONS
PREPARED BY....
KIRAN DASANAL
[UG13AGR1879]
The
Hardy-Weinberg
Equilibrium
Allele Frequencies in a
Population
G.H. Hardy
English Mathematician
Dr. Wilhelm Weinberg
German Physician
INTRODUCTION
• Cross-pollinated crops are highly heterozygous
due to the free intermating among their
plants. They are often referred to as random
mating populations.
• Mendelian population
• A population, in this case, consists of all such
individuals that share the same gene pool
Hardy-Weinberg law
• The Hardy-Weinberg law is the fundamental
law of population genetics and provides the
basis for studying Mendelian populations.
• This law was independently developed by
Hardy (1908) in England and Weinberg (1909)
in Germany.
Hardy-Weinberg law

The Hardy-Weinberg law states that the gene
and genotype frequencies in a Mendelian
population remain constant generation after
generation if there is no selection, mutation,
migration or random drift.
Example of Hardy-Weinberg law
• Let us consider a single gene with two alleles,
A and a, in a random mating population.
• There would be three genotypes, AA, Aa and
aa, for this gene in the population.
• Suppose the population has N individuals of
which D individuals are AA, H individuals are
Aa and R individuals are aa.
• so that D +H + R = N.
Cont…………
• p = (2D + H) / 2N or
= (D + ½ H) / N and
• q = (2R + H) / 2N or
= (R + ½ H) / N
• Therefore, p + q = 1
• Such a population would be at equilibrium since
the genotypic frequencies would be stable, that
is, would not change, from one generation to the
next. This equilibrium is known as Hardy-
Weinberg equilibrium.
Factors affecting equilibrium
frequencies
Migration
• Migration is the movement of individuals into
a population from a different population.
• Migration may introduce new alleles into the
population or may change the frequencies of
existing alleles.
• In plant breeding programmes, migration is
represented by intervarietal crosses,
polycrosses, etc., wherein the breeder brings
together into a single population two or more
separate populations.
Mutation
• Mutation is a sudden and heritable change in
an organism and is generally due to structural
change in a gene.
• It is the ultimate source of all the variation
present in biological materials.
• Mutation may produce a new allele not
present in the population or may change the
frequencies of existing alleles.
Random drift
• Random drift or genetic drift is a random
change in gene frequency due to sampling
error.
• Random drift occurs in small populations
because sampling error is greater in a smaller
population than in a larger one.
• The breeder cannot do anything to prevent
this genetic drift, except to use very large
populations.
Inbreeding
• Mating between individuals sharing a
common parent in their ancestry is known as
inbreeding.
• Inbreeding reduces the proportion of
heterozygotes or heterozygosity and increases
the frequency of homozygotes or
Homozygosity.
Selection
• Differential reproduction rates of various
genetypes is known as selection.
• The breeder is able to improve the various
characteristics by selecting for the desirable
types. In a random mating population.
• selection is expected to change gene
frequencies rather than to eliminate one or
the other allele.
THANK YOU

Population genetics

  • 2.
    HARDY WEINBERG LAW– FACTORS AFFECTING EQUILIBRIUM FREQUENCIES IN RANDOM MATING POPULATIONS PREPARED BY.... KIRAN DASANAL [UG13AGR1879] The Hardy-Weinberg Equilibrium Allele Frequencies in a Population G.H. Hardy English Mathematician Dr. Wilhelm Weinberg German Physician
  • 3.
    INTRODUCTION • Cross-pollinated cropsare highly heterozygous due to the free intermating among their plants. They are often referred to as random mating populations. • Mendelian population • A population, in this case, consists of all such individuals that share the same gene pool
  • 4.
    Hardy-Weinberg law • TheHardy-Weinberg law is the fundamental law of population genetics and provides the basis for studying Mendelian populations. • This law was independently developed by Hardy (1908) in England and Weinberg (1909) in Germany.
  • 5.
    Hardy-Weinberg law  The Hardy-Weinberglaw states that the gene and genotype frequencies in a Mendelian population remain constant generation after generation if there is no selection, mutation, migration or random drift.
  • 8.
    Example of Hardy-Weinberglaw • Let us consider a single gene with two alleles, A and a, in a random mating population. • There would be three genotypes, AA, Aa and aa, for this gene in the population. • Suppose the population has N individuals of which D individuals are AA, H individuals are Aa and R individuals are aa. • so that D +H + R = N.
  • 9.
    Cont………… • p =(2D + H) / 2N or = (D + ½ H) / N and • q = (2R + H) / 2N or = (R + ½ H) / N • Therefore, p + q = 1 • Such a population would be at equilibrium since the genotypic frequencies would be stable, that is, would not change, from one generation to the next. This equilibrium is known as Hardy- Weinberg equilibrium.
  • 11.
  • 12.
    Migration • Migration isthe movement of individuals into a population from a different population. • Migration may introduce new alleles into the population or may change the frequencies of existing alleles. • In plant breeding programmes, migration is represented by intervarietal crosses, polycrosses, etc., wherein the breeder brings together into a single population two or more separate populations.
  • 13.
    Mutation • Mutation isa sudden and heritable change in an organism and is generally due to structural change in a gene. • It is the ultimate source of all the variation present in biological materials. • Mutation may produce a new allele not present in the population or may change the frequencies of existing alleles.
  • 14.
    Random drift • Randomdrift or genetic drift is a random change in gene frequency due to sampling error. • Random drift occurs in small populations because sampling error is greater in a smaller population than in a larger one. • The breeder cannot do anything to prevent this genetic drift, except to use very large populations.
  • 15.
    Inbreeding • Mating betweenindividuals sharing a common parent in their ancestry is known as inbreeding. • Inbreeding reduces the proportion of heterozygotes or heterozygosity and increases the frequency of homozygotes or Homozygosity.
  • 16.
    Selection • Differential reproductionrates of various genetypes is known as selection. • The breeder is able to improve the various characteristics by selecting for the desirable types. In a random mating population. • selection is expected to change gene frequencies rather than to eliminate one or the other allele.
  • 17.