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We present a brief review of power laws and correlation functions as measuresof criticality and the relation between them. By comparing phenomenology fromrain, brain and the forest fire model we discuss the relevant features ofself-organisation to the vicinity about a critical state. We conclude thatorganisation to a region of extended correlations and approximate power lawsmay be behaviour of interest shared between the three considered systems.

Brain, Rain and Forest Fires -- What is critical about criticality: In praise of the correlation function