Let f(p) be a continuously differentiable map from the interval [a, b]

into itself, and let p∞ = f(p∞) be an equilibrium (fixed) point of the iteration scheme pn+1 = f(pn). If |f

(p∞)| < 1, then show that p∞

is a locally stable equilibrium in the sense that limn→∞ pn = p∞ for p0 sufficiently close to p∞. How fast does pn converge to p∞? Apply this general result to determine the speed of convergence to linkage equilibrium for an autosomal locus.