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We characterize the influence that external noise, with both spatial andtemporal correlations, has on the scale dependence of the reaction parametersof a cubic autocatalytic reaction diffusion (CARD) system. Interpreting theCARD model as a primitive reaction scheme for a living system, the resultsindicate that power-law correlations in environmental fluctuations can eitherdecrease or increase the rates of nutrient decay and the rate of autocatalysis(replication) on small spatial and temporal scales.

Effects of spatial and temporal noise on a cubic-autocatalytic reaction-diffusion model