Many mechanisms and related models concerning chiral symmetry breaking in extended reacting and ecological systems have been formulated in the last years. One common feature of most of these proposals is the important role played by autocatalysis and diffusion. In this paper, a classical model of simulated evolution is discussed in terms of chiral symmetry breaking, and the role played by anomalous fluctuations induced by autocatalysis is shown by a simple stochastic approach. The importance of the kinetics of the loss reactions is also discussed.