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Estimation of a Stochastic Model of Reproduction: An Econometric Approach

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Author Info
James J. Heckman
Robert J. Willis

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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.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 0034.

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Date of creation: Feb 1974
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Handle: RePEc:nbr:nberwo:0034

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Robert T. Michael & Robert J. Willis, 1976. "Contraception and Fertility: Household Production under Uncertainty," NBER Chapters, in: Household Production and Consumption, pages 25-98 National Bureau of Economic Research, Inc. [Downloadable!]
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  2. Becker, Gary S & Lewis, H Gregg, 1973. "On the Interaction between the Quantity and Quality of Children," Journal of Political Economy, University of Chicago Press, vol. 81(2), pages S279-88, Part II, . [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Robert T. Michael, 1976. "Factors Affecting Divorce: A Study of the Terman Sample," NBER Working Papers 0147, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  2. John Janssen, 2002. "Long-term fiscal projections and their relationship with the intertemporal budget constraint: An application to New Zealand," Treasury Working Paper Series 02/05, New Zealand Treasury. [Downloadable!]
  3. George J. Borjas & Glenn T. Sueyoshi, 1993. "A Two-Stage Estimator for Probit Models with Structural Group Effects," NBER Technical Working Papers 0146, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  4. James J. Heckman & Robert J. Willis, 1975. "A Beta-Logistic Model for the Analysis of Sequential Labor Force Participation by Married Women," NBER Working Papers 0112, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  5. Krister Sandberg & Thomas Westerberg, 2005. "Spatial Dependence and the Determinants of Child Births in Swedish Municipalities 1974-2002," ERSA conference papers ersa05p431, European Regional Science Association. [Downloadable!]
  6. Carling, Kenneth & Rönnegård, Lars & Roszbach, Kasper, 2004. "Is Firm Interdependence within Industries Important for Portfolio Credit Risk?," Working Paper Series 168, Sveriges Riksbank (Central Bank of Sweden). [Downloadable!]
  7. Di Tommaso, M.L. & Weeks, M., 2000. "Decision Structures and Discrete Choices: An Application to Labour Market Participation and Fertility," Cambridge Working Papers in Economics 0009, Faculty of Economics, University of Cambridge. [Downloadable!]
  8. Delavande, Adeline, 2005. "Pill, Patch or Shot? Subjective Expectations and Birth Control Choice," CEPR Discussion Papers 4856, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  9. Gema Álvarez-Llorente, 2002. "Decisiones de fecundidad y participación laboral de la mujer en España," Investigaciones Economicas, Fundación SEPI, vol. 26(1), pages 187-218, January. [Downloadable!]
  10. James J. Heckman & Christopher J. Flinn, 1982. "New Methods for Analyzing Structural Models of Labor Force Dynamics," NBER Working Papers 0856, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  11. Charlier, E. & Melenberg, B. & Soest, A. van, 1995. "Estimation of a censored regression panel data model using conditional moment restrictions efficiently," Discussion Paper 114, Tilburg University, Center for Economic Research. [Downloadable!]
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