The Hardy-Weinberg Principle
The Hardy-Weinberg Principle
- The Hardy-Weinberg Principle is a foundational concept in population genetics that provides a mathematical model for understanding how allele frequencies in a population can change under specific conditions.
- It was independently established by two scientists, G.H. Hardy and Wilhelm Weinberg, in the early 20th century.
Assumptions of the Hardy-Weinberg Principle
- This principle operates on several key assumptions, including:
- The population is infinitely large to prevent genetic drift.
- There is no gene flow from outside sources, thus no immigration or emigration.
- Mutations are not changing the allele frequencies.
- Natural selection is not acting on any specific trait, ensuring all individuals have an equal chance of survival and reproduction.
- Mating is completely random, so sexual selection does not influence allele frequencies.
Hardy-Weinberg Equilibrium
- If all these assumptions are met, a population is said to be in Hardy-Weinberg equilibrium, indicating that allele frequencies will remain static from one generation to the next.
- This equilibrium forms the basis for studying genetic changes in populations. When the conditions are not met, it can be inferred that evolution is occurring, changing the gene pool.
Mathematical Representation
- The Hardy-Weinberg Principle is represented mathematically by the equation p^2 + 2pq + q^2 = 1.
- Where,
- p^2 is the frequency of one homozygous genotype (AA),
- 2pq indicates heterozygous genotype (Aa), and
- q^2 defines another homozygous genotype (aa).
- p and q represent the frequency of alleles A and a respectively.
- Where,
- This equation allows biologists to predict the genotypic and allelic frequencies in the next generation under perfect conditions.
Significance of The Hardy-Weinberg Principle
- In practical terms, Hardy-Weinberg equilibrium serves as a null hypothesis against which the effects of evolution - like mutation, gene flow, genetic drift, non-random mating, and selection - can be checked.
- This principle allows the prediction of allele and genotype frequencies in a population over time, aiding in understanding trends of evolution and biodiversity.