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We improve a recently proposed dynamically driven renormalization groupalgorithm for cellular automata systems with one absorbing state, introducingspatial correlations in the expression for the transition probabilities. Weimplement the renormalization group scheme considering three differentapproximations which take into account correlations in the stationaryprobability distribution. The improved scheme is applied to a probabilisticcellular automaton already introduced in the literature.Comment: 7 pages, 4 figures, to be published in Phys. Rev.

Application of a renormalization group algorithm to nonequilibrium cellular automata with one absorbing state