The wide impact that human beings have on their environment, generating effects on a global scale as important as Climate Change, leads us to the need to know the mechanisms by which living beings can adapt to the new environment through evolutionary processes.In the present work, we want to demonstrate that there is an exponential dynamic in how the adaptive process is related to the number of generations. This fact makes that evolution is more accelerated at the beginning of the alteration or change, making individuals achieve a new optimum of adaptation in the environment.