A two-sex nuptiality-mortality life table
The “problem of the sexes” has been one of trying to reconcile inconsistent male and female demographic rates. The present paper deals with that question in the context of a two-sex nuptiality-mortality life table. A “rectangular” population, with equal numbers of persons in each age-sex group, is introduced as a standard, and a standardization relationship expressed in equation (9) relates changes in rectangular population rates to changes in age-sex composition. The standardization relationship is shown to satisfy a number of desirable properties and produce a realistic two-sex model. The standardization approach is then applied to data from Sweden for 1973, and the results and their implications are discussed. In particular, it is seen that the total number of marriages in a two-sex population neither is nor should be bounded by the total numbers of marriages in the associated male and female one-sex nuptiality-mortality tables.
KeywordsLife Table Marriage Market Marriage Rate Harmonic Mean Marriage Squeeze
Unable to display preview. Download preview PDF.
- Coale, Ansley J. 1972. Growth and Structure of Human Populations. Princeton: Princeton University Press.Google Scholar
- Hoem, J. M. 1969. Concepts of a Bisexual Theory of Marriage Formation Sãrtryck ur Statistisk Tidskrift 4:295–300.Google Scholar
- Jordan, Chester W., Jr. 1967. Life Contingencies. 2d ed. Chicago: Society of Actuaries.Google Scholar
- Kendall, D. G. 1949. Stochastic Processes and Population Growth. Journal of the Royal Statistical Society, Series B, 11:230–264.Google Scholar
- Keyfitz, Nathan. 1968. Introduction to the Mathematics of Population. Reading: Addison-Wesley Publishing Company.Google Scholar
- —. 1971. The Mathematics of Sex and Marriage. Pp. 89–108 in Volume 4 of the Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability. Berkeley: University of California Press.Google Scholar
- —. 1972. Comparison of Alternative Marriage Models. Pp. 89–106 in Thomas N. E. Greville (ed.), Population Dynamics. New York: Academic Press.Google Scholar
- Parlett, B. 1972. Can There Be a Marriage Function? Pp. 107–135 in Thomas N. E. Greville (ed.), Population Dynamics. New York: Academic Press.Google Scholar
- Pollard, John H. 1971. Mathematical Models of Marriage. Paper presented to the Fourth Conference on the Mathematics of Population in Honolulu, July 28–August 1, 1971.Google Scholar
- Preston, Samuel H., N. Keyfitz, and R. Schoen. 1972. Causes of Death: Life Tables for National Populations. New York: Seminar Press.Google Scholar
- —, and K. C. Land. 1976. Finding Probabilities in Increment-Decrement Life Tables: A Markov Process Interpretation. Program in Applied Social Statistics Working Paper 7603. Urbana: Department of Sociology, University of Illinois Urbana-Champaign.Google Scholar
- Sweden, Statistiska Centralbyrån. 1974. Befolknings Förändringar 1973. Vol. 3. Stockholm: Statistiska Centralbyrån.Google Scholar