Actually there are only 4 periods of Egyptian history.

1) Predynastic
2) Dynastic
3) Late period (Greco Roman)
4) Islamic to modern


The first two periods were primarily African populations with some but not a whole lot of NON African migrations, at least not enough to substantially change the nature of the population.

The third period is when more substantial foreign migrations and influence took place as a result of Greek and Roman occupation.

The fourth is also when more migrations took place, as well as when Egypt experienced its greatest population growth. The Egyptian population has grown exponentially in the last 200 years.

Fundamentally, the issue of concern here should be categorizing the phenotypes of the Egyptians at various times and how these have changed and why. But that presents its own sets of issues, as many people confuse indigenous African phenotypical variation with foreign admixture. Case in point, there are and always have been Sudanese, Egyptian and other black Africans with pointy noses and thin lips or hooked noses and thin lips. Neither of these phenotypical features indicate foreign influence. The fact that African diversity is much more varied and is ancestral to most other populations on earth, it is often easy to mistake indigenous African features with foreign influence, at least at a nonscientific level of physical observation of mummified remains. Analysis of craniofacial data is much more precise but it only gives more data for comparison between various populations. But that is a good method for determining some of the ways the Egyptian populace has changed over time.