Introduction to Multistate Mathematical Demography

The study of the transitions that individuals experience over time, in the course of passing from one state of existence to another, is a fundamental dimension in much of mathematical demography. Recent work in multistate demographic analysis has led to a generalization of traditional demographic techniques for analyzing such problems. The papers in this issue are representative examples of work currently being carried out on this subject. A unifying thread is the use of matrix algebra to express multidimensional demographic processes in a compact and notationally elegant form which often leads to analytical insights that otherwise may be hidden in the more complicated nonmatrix formulations.

[1]  W. J. Duncan.  The Theory of Matrices. 2 Volumes. F. R. Gantmacher. Chelsea Publishing Company, New York, 1959. 373 pp. and 276 pp. 12 dollars. , 1960 .

[2]  J. Hoem.  Probabilistic fertility models of the life table type. , 1970, Theoretical population biology.

[3]  Andrei Rogers.  Matrix Analysis of Interregional Population Growth and Distribution , 1968 .

[4]  H. L. Bras.  Équilibre et croissance de populations soumises à des migrations , 1971 .

[5]  Andrei Rogers,et al.  The Mathematics of Multiregional Demographic Growth , 1973 .

[6]  A. Por,et al.  Entropy, Multiproportional, and Quadratic Techniques for Inferring Detailed Migration Patterns from Aggregate Data , 1979 .

[7]  Herbert A. Simon,et al.  Aggregation of Variables in Dynamic Systems , 1961 .

[8]  A. Rogers,et al.  The Spatial Reproductive Value and the Spatial Momentum of Zero Population Growth , 1978 .

[9]  S. Krishnamoorthy.  Classical approach to increment-decrement life tables: an application to the study of the marital status of United States females 1970 , 1979 .

[10]  A. Rogers.  The multtregional life table , 1973 .

[11]  Andrei Rogers,et al.  Shrinking Large-Scale Population-Projection Models by Aggregation and Decomposition , 1976 .

[12]  Nathan Keyfitz,et al.  Introduction to the mathematics of population , 1968 .

[13]  K. Land,et al.  A general algorithm for estimating a Markov-generated increment-decrement life table with applications to marital-status patterns. , 1979, Journal of the American Statistical Association.