This question is background research for a science fiction / fantasy novel, my knowledge of genetic is very basic.
It seems obvious to me that for genetic disorders that are autosomal recessive, if those disorders prevent affected individuals from reproducing, the carrier and affected rates in a population will naturally be smaller. I'm not sure if this is the entire reason why say, blue eyes are more common that cystic fibrosis, but it definitely seems to be a contributing factor.
My question is this: say you have a (fictional) autosomal recessive trait that does not prevent reproduction. Let's call the initial carrier rate in the population for this trait C and the initial affected rate A.
In case it matters, the fictional trait I'm considering might reduce the chance of reproduction (as the people may be shunned, or considered less desirable as a mate) but there is nothing preventing reproduction. Something like "bright purple hair" where there is a stigma against affected individuals -- "your hair marks you as tainted" or something. I'm thinking A is around 0.1% (1 in 1000 births). (And if I understand the math right, C would then be around 6%, or 1 in 16 -- so that
C * C / 4 gives A.)
Now let's say an oppressive government decides to prevent all affected individuals from reproducing (but carriers are left alone). Let's assume a 100% success rate for the government at rendering affected people infertile thus preventing their reproduction. What will happen to C and A over time? Is there some simple way to estimate how they will trend over several generations? I don't need exact numbers but I'm having trouble with even coming up with a guess.