Question

Why was it important that G. H. Hardy used vari- ables in his mathematical treatment of changes in population allele frequencies across generations? Would it have been equally useful to simply work several more examples with different specific allele frequencies?

Answer 1

Using variables allowed G. H. Hardy to create a generalizable model to predict allele frequencies, providing a baseline to identify evolutionary changes in populations.

Step-by-step explanation:

The importance of G. H. Hardy using variables in his mathematical model, primarily the Hardy-Weinberg equilibrium, lies in its ability to predict and compare allele frequencies in a generalizable way across different populations and generations. By using variables like p and q, Hardy was able to convey the concept that allele frequencies would remain constant from one generation to the next unless evolutionary forces such as mutation, genetic drift, or selection are acting upon them. This theoretical model provides a vital baseline for scientists; if actual population genotype frequencies deviate from those predicted by the Hardy-Weinberg equation, this indicates evolution is occurring. Simply working through additional examples with specific frequencies would have been less efficient and less generalizable, making it difficult to apply the conclusions broadly across various situations.