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This paper discusses the formal characteristics of spatial diffusion of demographic change from a center into a region. A procedure proposed for testing hypotheses concerning its empirical occurrence is applied to ascertaining occurrence and modalities of spatial diffusion of demographic change in two regions of the USSR centered at Moscow and Leningrad. Evidences of diffusion of fertility declines were found in both regions, of death rate declines in the Leningrad but not in the Moscow region, and of increases in divorce rates in the Moscow but not in the Leningrad region.
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