Godfrey Hardy, a mathematician, and Wilhem Weinberg, a physician in Germany, formulated a probability equation about the frequencies of genes that are inheritable within a gene pool. They analyzed that the frequencies of alleles. Hardy and Weinberg made an equation about genetic variance of a population at equilibrium. They postulated that allele or genes should be stable or equal with no disturbing factors. For a generation be able to remain constant and reach the equilibrium within generations, they postulated about how alleles behave that acts in a population. With these assumptions, Hardy and Weinberg determined the definition of evolution within a gene pool. They defined that for an evolution would not exist within …show more content…
Therefore, they created equations and principles regarding the amount of genetic variation in a population. As Hardy and Weinberg developed an equation, p2+2pq+q2=1, to calculate the probability of the genotype frequencies in a population. Thus, it helps to calculate the next generations expected frequency. In Hardy-Weinberg equation, p signifies the dominant allele and q as a recessive allele in the pair of alleles. Therefore, we can conclude that (p) x (p) = p2 which is homozygous dominant. Similar to q2, it is equal to (q) x (q) that determines the homozygous recessive allele. The middle term is 2pq which signifies a heterozygous allele. Therefore, let A and a be a controlled pair alleles, we can calculate the total number of p (dominant alleles), we have to remember that in heterozygous, it carries one dominant allele. Therefore p = AA +1/2Aa. Likewise in all the recessive alleles, q= aa +1/2Aa. With this equation, p2+2pq+q2=1, we can say that the sum of alleles should be equal to 1 or 100%. If we used the observe traits we can conclude it is a phenotype frequency, we can use the equation p + q = 1. If we obtain any alleles such as p or q, we can subtract it to 1. Therefore, we can calculate the expected genotype frequencies. For example,
1-p=q. Then we can use the Hardy-Weinberg equilibrium equation. In Hardy Weinberg equilibrium equations, if we associated the genotype frequencies from the parent generation to the offspring generation in a population, we can conclude that there may or may not have an evolution. If it does, we can determine the proportions and direction of a