If 10 human couples move into a new unpopulated area, how many people will live in the area after 200 years? The couples are 20 years old when they move. The people's life expectancy is 60 yeras, the average family has 4 children, and the average couple begins having children at age 20 and ends at 30.
I guess this is assuming that no one moves in or out, since the problem says nothing about it. Can someone please tell me how to figure this out?
It is not possible to solve without a lot of assumptions
1) when is the average child born to the the couple (age, not range of 20 to 30), and what is the deviation of that, and the deviation of the birth of the other kids. A distribution over 10 generations of ten years makes a big difference.
Do the offspring reproduce? The problem does not state.
What is the moving in/moving out.
What is the deviation on the life expenctancy? Ie, how many die before entering reproductive years?
What is the deviation on the gender birth rate...ie, the folks who cant find a mate? Do they get to reproduce?
this type of problem is explored extensivly in texts on Population genetics.
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