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Joint estimation of sequential labor force participation and fertility decisions using Markov chain Monte Carlo techniques

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  • Hielke Buddelmeyer
  • Kenneth Troske

Abstract

Three basic mechanisms are behind the statistical relationship between fertility decisions and labor force participation decisions. 1) Causal direct effect: the time spent in child-care reduces the labor market effort leading to a temporary drop in post-birth labor force participation. 2) Causal indirect effect: the time spent out of labor market while on maternity leave alters women’s participation experience and, thus, indirectly affect both pre- and post-birth participation behavior. In the post-birth period, the indirect effect will compound the direct effect. The sign of the indirect effect in the pre-birth period is ambiguous. 3) Unobserved heterogeneity: Differences in tastes for work and family structure may induce a correlation between participation and fertility decisions throughout lifetime. They may further induce differences in pre-market human capital investments and, thus, affect labor market outcomes. This paper proposes a model that disentangles these three mechanisms and evaluates their relative importance. Sequential participation and fertility decisions are jointly modeled. Participation decisions on a three-state space - employed full-time, employed part-time, not employed – and dichotomous fertility decisions are represented by a multivariate probit model with a general correlation structure. The model allows for a high degree of flexibility in modeling the correlation between labor force participation and fertility decisions and the dependence of sequential decisions. We estimate this model using data from the 1979 National Longitudinal Survey of Youth. The estimation is performed using Markov chain Monte Carlo methods.

Suggested Citation

  • Hielke Buddelmeyer & Kenneth Troske, 2004. "Joint estimation of sequential labor force participation and fertility decisions using Markov chain Monte Carlo techniques," Econometric Society 2004 North American Winter Meetings 334, Econometric Society.
  • Handle: RePEc:ecm:nawm04:334
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    Cited by:

    1. Quamrul H. Ashraf & David N. Weil & Joshua Wilde, 2013. "The Effect of Fertility Reduction on Economic Growth," Population and Development Review, The Population Council, Inc., vol. 39(1), pages 97-130, March.
    2. Sylvia Frühwirth-Schnatter & Christoph Pamminger & Andrea Weber & Rudolf Winter-Ebmer, 2016. "Mothers' long-run career patterns after first birth," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 179(3), pages 707-725, June.
    3. Xiaoyan Chen Youderian, 2014. "The motherhood wage penalty and non-working women," Economics Bulletin, AccessEcon, vol. 34(2), pages 757-765.
    4. Elena Bardasi & Chiara Monfardini, 2004. "Women's Employment, Children and Transition: An Empirical Analysis on Poland," Eastward Enlargement of the Euro-zone Working Papers wp25, Free University Berlin, Jean Monnet Centre of Excellence, revised 15 Oct 2004.
    5. Fitzenberger, Bernd & Sommerfeld, Katrin & Steffes, Susanne, 2013. "Causal effects on employment after first birth — A dynamic treatment approach," Labour Economics, Elsevier, vol. 25(C), pages 49-62.
    6. Peter Haan & Daniel Kemptner & Arne Uhlendorff, 2015. "Bayesian procedures as a numerical tool for the estimation of an intertemporal discrete choice model," Empirical Economics, Springer, vol. 49(3), pages 1123-1141, November.
    7. Kazuaki Okamura & Nizamul Islam, 2021. "Effects of the timing of childbirth on female labor supply: an analysis using the sequential matching approach," Applied Economics, Taylor & Francis Journals, vol. 53(28), pages 3253-3266, June.
    8. Sophie-Charlotte Klose, 2020. "Identifying Latent Structures in Maternal Employment: Evidence on the German Parental Benefit Reform," Papers 2011.03541, arXiv.org.
    9. Paul, Marie & Fernandez-Kranz, Daniel & Rodriguez-Planas, Nuria, 2014. "The Wage Effects of Fixed-term Contract Employment Revisited: an Investigation Based on Social Security Records," VfS Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100324, Verein für Socialpolitik / German Economic Association.
    10. Daniel Fernández-Kranz & Marie Paul & Núria Rodríguez-Planas, 2015. "Part-Time Work, Fixed-Term Contracts, and the Returns to Experience," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 77(4), pages 512-541, August.
    11. Kenneth Troske & Alexandru Voicu, 2013. "The effect of the timing and spacing of births on the level of labor market involvement of married women," Empirical Economics, Springer, vol. 45(1), pages 483-521, August.

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    More about this item

    Keywords

    Fertility decisions; Labor force participation; Multivariate probit; markov chain monte carlo;
    All these keywords.

    JEL classification:

    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth
    • J2 - Labor and Demographic Economics - - Demand and Supply of Labor

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