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    <abstract>Generalization of the classical methods of mathematical demography to include multiple states of existence in the course of the life cycle have appeared with increasing frequency during the past decade. The new methods for manipulating data, constructing life tables, and generating population projections have fostered innovative empirical studies of, for example, interregional migration, marriage and divorce, and labor force participation. And they have established a need for a systematic assessment of this growing body of research. Responding to this need, the authors of this essay convened a conference on multidimensional mathematical demography at the University of Maryland, USA in March 1981. Supported financially by the US National Science Foundation, the meeting brought together demographers, mathematicians, sociologists, and statisticians to report on and evaluate the current state of the art of the newly established field. The essay reproduced in this reprint presents an overview of multidimensional demography and outlines the results of the conference. It appears as the introductory chapter of the conference proceedings published by Academic Press.</abstract>
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