It is intuitive that if a mother breeds with the son of the son .... of her son, and she's the mother of them all, the process can produce a "clone" that's as close to 100% of the mother's DNA as you want. That is if the chances of the offspring being female remain ~50%, so if a mother keeps breeding do the chances of the offspring being female increase as the process goes closer to 100% of her DNA?
in mathematical terms: a generation's maternal DNA percentage can be defined as f(x)= (2^x-1)/2^x, and the limit is 1 or 100%.
is there another function that can tell us the chances of the offspring being born female for a given f(x) generation?
for example if the chances of being born female doubled every generation a probability would be defined as p(x)=f(x) which in theory means nothing because the limit is still 1, but in reality that would mean that the probability of a male being born is 1/2^x for a f(x) generation.
however if the probability function was steeper for example if p(x)=3/4 * f(x) its limit is 3/4 therefore for any x generation such that f(x)>3/4 it would be impossible to continue the breeding.
in mathematical terms: a generation's maternal DNA percentage can be defined as f(x)= (2^x-1)/2^x, and the limit is 1 or 100%.
is there another function that can tell us the chances of the offspring being born female for a given f(x) generation?
for example if the chances of being born female doubled every generation a probability would be defined as p(x)=f(x) which in theory means nothing because the limit is still 1, but in reality that would mean that the probability of a male being born is 1/2^x for a f(x) generation.
however if the probability function was steeper for example if p(x)=3/4 * f(x) its limit is 3/4 therefore for any x generation such that f(x)>3/4 it would be impossible to continue the breeding.
