Before revision:  Given a distribution of phenotypes on a fitness landscape , we summarize how natural selection moves a population in the direction of a natural gradient , similar to natural gradientdescent, and show how intermediate selection is most informative of the fitness landscape.
After revision:  Given a distribution of phenotypes on a fitness landscape , we summarize how natural selection moves a population along the non-euclidean gradient that is induced by the population on the fitness landscape (the natural gradient). Under normal approximations common in quantitative genetics, we show how selection is related to Newton's method in optimization. We find that intermediate selection is most informative of the fitness landscape.