Can someone explain me what does 1/2Ne stand for in the expression of
F = 1/2Ne / (1/2Ne + 2u)
They only thing that I though was that 1/2Ne represents 1 allele in the population, and (1/2Ne + 2u) represents that allele on the next generation with 2u mutations added. since we are estimating whats the probability of this allele being IBD to the allele of the previous generation if u = 0 then F = 1, and theres a 100% probability that the allele represented by the denominator is IBD to the allele that the numerator represents.
It is hard to communicate without graphics. The expression isn't correct mathematics since there are different ways to interpret it. Tip, dwell on coalescence in "Glossary of Genetics".
"the probability of coalescence at the previous generation, i.e., the two sequences in the current genera- tion came from a single ancestral sequence in the previous generation, is 1/(2N), where N is the effective population size.
Then, for the probability that of identity by descent I have this expression
F = 1/(2N) / (1/2N) + 2u
so I just want to understnd why is the numerator 1/(2N), why the denominator (1/2N) + 2u
cheers
hans
Quoted message said:
It is hard to communicate without graphics. The expression isn't correct mathematics since there are different ways to interpret it. Tip, dwell on coalescence in "Glossary of Genetics".
"the probability of coalescence at the previous generation, i.e., the two sequences in the current genera- tion came from a single ancestral sequence in the previous generation, is 1/(2N), where N is the effective population size.
Then, for the probability that of identity by descent I have this expression
F = 1/(2N) / (1/2N) + 2u
so I just want to understnd why is the numerator 1/(2N), why the denominator (1/2N) + 2u
1/(2N) is the probability of a coalescent in a given generation. 2u is the probability of a mutation. It is no longer an "identity" (IBD) if a mutation has occurred. So (1/2N) + 2u is the probability of coalescent OR mutation. F in this equation is then the probability of a coalescent (IBD) given that either a coalescent OR mutation occured. Sometimes you would see this from the other side, the probability of a mutation given that either a coalescent OR mutation occured is H = 2u/(1/2N + 2u) = 4Nu/(4Nu + 1). William L Hunt
Quoted message said:
cheers
hans
Quoted message said:
It is hard to communicate without graphics. The expression isn't correct mathematics since there are different ways to interpret it. Tip, dwell on coalescence in "Glossary of Genetics".
