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This study applies ultramodern concepts and methods to one of the most baffling and longstanding archaeological mysteries - the collapse of Classic Maya civilization in the eighth and ninth centuries A.D. The author employs systems analysis and computer simulation to such traditional archaeological data as inscription dates, ceramic sequences, settlement surveys, and epigraphic analysis to derive a collapse pastern, evaluate a variety of previous explanations for the collapse, and postulate a model for the collapse. This model is consistent with all currently available data. Lowe's explanation, even his mathematical argument, will be generally accessible to archaeologists, His audience will include historians, sociologists, and other social scientists with a special interest in the mathematical modeling of cultural processes.