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The Analysis of Mobility Processes by the Introduction of Independent Variables into a Markov Chain
American Sociological Review
Vol. 37, No. 3 (Jun., 1972), pp. 277-294
Published by: American Sociological Association
Stable URL: http://www.jstor.org/stable/2093468
Page Count: 18
You can always find the topics here!Topics: Matrices, Population dynamics, Population estimates, Zero, Transition probabilities, Markov processes, Markov chains, Mathematical procedures, Population distributions, Population structure
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A major drawback to the traditional Markov formulation of social mobility is that it assumes homogeneity of transition behavior among persons in an origin state. This requirement has detracted from considering the ways in which the transition probabilities vary among individuals. This paper introduces a regression procedure which allows a heterogeneous population to be examined within a Markov framework. The advantages of this formulation are threefold: (a) it facilitates determining the sources of variation in the population transition probabilities; (b) it permits over-time change in the transition probabilities resulting from population shifts on particular attributes to be distinguished from structural change, in which the rules governing transitions have altered; (c) it enables construction of individual-level transition matrices, which are necessary for projecting to the k-step population matrix in the presence of heterogeneity. These techniques are applied to an analysis of geographic migration data.
American Sociological Review © 1972 American Sociological Association