  We derive asymptotic formulae in the limit when population size N tends to
infinity for mean fixation times (conditional and unconditional) in a
population with two types of individuals, A and B, governed by the Moran
process. We consider only the case in which the fitness of the two types do not
depend on the population frequencies. Our results start with the important
cases in which the initial condition is a single individual of any type, but we
also consider the initial condition of a fraction x, 0<x<1, of A individuals,
where x is kept fixed and the total population size tends to infinity. In the
cases covered by Antal and Scheuring (Bull Math Biol 68(8):1923-1944, 2006),
i.e. conditional fixation times for a single individual of any type, it will
turn out that our formulae are much more accurate than the ones they found. As
quoted, our results include other situations not treated by them.
