The time to the most recent common ancestor of a pair of individuals from a randomly
Chapter 2, Problem 34(choose chapter or problem)
The time to the most recent common ancestor of a pair of individuals from a randomly mating population depends on the population size. Let t denote the time, measured in units of generations, to the most recent common ancestor, and let T be equal to N generations, where N is the population size of the randomly mating population. Define z = t/T . Show that z is dimensionless and that the value of z does not change, regardless of whether t and T are measured in units of generations or in units of, say, years. (Assume that one generation is equal to n years.) xt+1 = rxt (1 xt ) xt t = 0, 1, 2, . . . , 20 r x0xt t
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