Estimation of a Stochastic Model of Reproduction: An Econometric Approach

56 Pages Posted: 5 Jan 2007 Last revised: 7 Aug 2010

See all articles by James J. Heckman

James J. Heckman

University of Chicago - Department of Economics; National Bureau of Economic Research (NBER); American Bar Foundation; Institute for the Study of Labor (IZA); CESifo (Center for Economic Studies and Ifo Institute)

Robert J. Willis

University of Michigan at Ann Arbor - Department of Economics; National Bureau of Economic Research (NBER)

Date Written: February 1974

Abstract

In the past few years, there has been substantial progress in the application of the economic theory of household decision making to human fertility behavior. Theoretical emphasis has been given to the effects of the costs of parental tine and money resources devoted to rearing children on the demand for the total number of children in a static framework under conditions of certainty. Empirical work has focused on explaining variation in the number of children ever born to women, who have completed their childbearing, as a function of measures of the household's total resources and the opportunity cost of time, especially the value of the wife's time. One important objection to static theories of fertility is their failure to deal with the implications of the simple fact that reproduction is a stochastic biological process in which the number and timing of births and the traits of children (e.g. sex, intelligence, health, etc.) are uncertain and not subject to direct control. In this paper, we report some initial results of a study in progress whose goal is to develop an integrated theoretical and econometric model of fertility behavior within a sequential stochastic framework. The principal contribution of the paper is to the development of an appropriate econometric methodology for dealing with some new econometric problems that arise in such models.

Suggested Citation

Heckman, James J. and Willis, Robert J., Estimation of a Stochastic Model of Reproduction: An Econometric Approach (February 1974). NBER Working Paper No. w0034. Available at SSRN: https://ssrn.com/abstract=246862

James J. Heckman (Contact Author)

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Robert J. Willis

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