Answer:
Gradualism and punctuated equilibrium both are the process of evolution of species over time. However, the gradualism process involves the evolution that occurred slowly, occurring in small periodic changes in the gene pool over a long period of time. Whereas Punctuated equilibrium takes place there are longer periods of apparent stasis interrupted by the sudden change.
They both help in finding the relative change in evolution rate and assist in the study of the anatomical changes occurred during the evolution in different kind of animals or organisms.