The frequency of p after one generation shall be p 1 . The same is true for q. These equations are well suited for the extrapolation of the fate of single alleles in subsequent generations. The results can be depicted as exponential functions that show how long an unfavourable allele will survive in a given population or how fast a favourable one succeeds. In order to use equations like the one above or to extend them according to need, it is necessary to have exact data of the population s structure.
Theoretical analyses do usually fail due to a lack of sufficient numbers.
On the other hand, mathematical models are far too simple to cover the processes of natural populations completely. Mathematical attempts are nevertheless well suited in order to elucidate partial aspects of evolutionary research, in order to estimate how large the probability for the existence of a certain event is, and to learn something about the prerequisites required for the development of the evolution of complex biological systems.