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Explaining Changes in Female Labour Supply in a Life-Cycle Model

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Author Info
Virginia Sanchez-Marcos
Orazio Attanasio
Hamish Low

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Abstract

Female labour force participation and labour supply, in the US, as in many other developed countries, has changed dramatically over the last 30 years. If one compares cohorts of women born in the 1930s (such as Elizabeth Dole), 1940s (Hillary Clinton) and 1950s (Oprah Winfrey), two main features emerge when considering labour supply in its various dimensions. First, comparing the Elizabeth Dole cohort to the Hillary Clinton one, we can see a substantial shift of the age profile of labour supply. However, the shape of the profile does not change much. In particular, in both profiles we observe a low participation corresponding to child rearing years. When comparing the Hillary Clinton cohort with the Oprah Winfrey one, we see that the low participation rates associated with the 'fertility years' are no longer present. The aim of this paper is to propose a life cycle model of saving and labour supply that could account for these dramatic changes. We explore whether changes to some specific parameters and exogenous variables of this model can generate the patterns observed in the data. Or, to use a different perspective, we want to quantify the size of changes in unobservable factors needed to explain the observed patterns. The main change in labour supply behaviour in the data is on the extensive margin. We consider a number of possible determinants of these changes in participation. First, wages may have increased relative to the fixed cost of participation. For example, the costs of child-care may have fallen. This would lead to greater participation at all ages and especially among mothers of infants. Second, on-the-job learning or the return to experience may have increased. As argued by Olivetti (2001), this increases the opportunity cost of reduced labor supply. Third, the depreciation of skills that occurs if an individual is not participating may have increased. Finally, we look at other possible explanations, such as a delay in the arrival of the first child and an increase in uncertainty over husband's income. Our structural model of life-cycle behaviour attempts to evaluate these alternative explanations. Obviously, wages are likely to be an important determinant of female labour supply. However, by looking at the dynamics of wages alone, it is difficult to disentangle the return to experience, the depreciation rate of human capital and the extent of participation bias (selection). Moreover, the interactions of these effects with other important determinants (such as fertility patterns, the cost of children, uncertainty, and so on) even in a simple life cycle model can be quite complex and difficult to quantify. Furthermore, a simple analysis that relates wages to labour supply, neglects general equilibrium effects that also imply an effect running from labour supply to wages. The main purpose of this paper is to build a realistic life-cycle environment in which we can explicitly model the participation choice. We can then calibrate the model to fit the behaviour of a given cohort and experiment with changes in the basic determinants of labour supply to determine which are more likely to yield the profiles of other cohorts. In our life cycle model households face uncertainty about the wages of the husband and the wife; maternity is exogenously given and children impose some monetary fixed cost when mothers decide to work. Decisions are taken at an annual frequency. The model takes into account returns to experience as a result of participation and depreciation of human capital when labor market interruptions are made. Households are able to save and borrow and women choose whether or not to work. This makes our model different from Keane and Wolpin (1989) and van Der Klaauw (1996), who estimate structural models of females' employment decision in the first case and females' employment and marital status decisions in the second case imposing that consumption coincides with income. Without the saving choice, the only way to intertemporally substitute consumption would be through changing labor supply and hence, in a model with returns to experience, the future wage rate. Saving is potentially a more flexible means of intertemporal substitution and so ignoring savings overstates the importance of the labor supply choice in life-cycle smoothing. We calibrate our model by matching observed participation profiles to simulated participation and observed wage profiles to the simulated wages of those who choose to work. Wage profiles in both the data and in the simulations are subject to selection; that is we only observe the wages of the women who choose to participate. Our selection model enables us to identify the depreciation effect separately from the return to experience. We use observed profiles from the cohort born at the start of the '40s for our calibration. We then explore the role of different factors in shaping changes of the life-cycle wage profile and participation profile. Pencavel (1998) and Coleman and Pencavel (1993) report similar paths for participation to the paths we report. The facts on employment are not in dispute. More controversial is understanding the data on wage profiles, on depreciation of human capital and on the underlying question of why participation has changed. Mincer and Pollachek (1974) and Mincer and Olfek (1982) discuss the extent of human capital depreciation under different assumptions on the permanence of depreciation. We report some statistics on depreciation but without a structural model of participation it is hard to identify the depreciation rate. Olivetti (2000) suggests that changes in wage profiles across cohorts reflect a change in the return to experience. The evidence we present is somewhat weaker: first, the cohort effect which leads to an increase in the return to experience can plausibly be interpreted as a year effect with wages in the 1980s growing faster than in previous periods. Second, wage growth seems to have benefited those who have worked only intermittently as well as those who have worked full time. There is now a substantial literature addressing the underlying question of why participation has changed. For example, Olivetti (2001) uses a four period model and the estimates of the returns to experience in Olivetti (2000) to show the effect that increase in the returns to experience has on hours worked by women. Greenwood and Seshadri (2002) measure the impact of technological progress on the increase in women's participation. Caucutt, Guner and Knowles (2001) explore the interaction between wage inequality and the marriage, fertility and labour supply decisions. The contribution of the current paper is primarily to use a realistic life-cycle model of saving and participation to compare alternative explanations.

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Publisher Info
Paper provided by Society for Economic Dynamics in its series 2004 Meeting Papers with number 492.

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Date of creation: 2004
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Handle: RePEc:red:sed004:492

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Related research
Keywords: women’s employment life-cycle maternity returns to experience and depreciation

Other versions of this item:

Find related papers by JEL classification:
J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth
J22 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Time Allocation and Labor Supply
J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity

References listed on IDEAS
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. Jeremy Greenwood & Ananth Seshadri, 2002. "Technological Progress and Economic Transformation," Economie d'Avant Garde Research Reports 3, Economie d'Avant Garde. [Downloadable!]
    Other versions:
  2. Juan Carlos Conesa, 2002. "Educational attainment and timing of fertility decisions," Working Papers in Economics 78, Universitat de Barcelona. Espai de Recerca en Economia. [Downloadable!]
  3. Mincer, Jacob & Polachek, Solomon, 1974. "Family Investment in Human Capital: Earnings of Women," Journal of Political Economy, University of Chicago Press, vol. 82(2), pages S76-S108, Part II, . [Downloadable!] (restricted)
  4. Claudia Goldin & Lawrence F. Katz, 2002. "The Power of the Pill: Oral Contraceptives and Women's Career and Marriage Decisions," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 730-770, August. [Downloadable!] (restricted)
    Other versions:
  5. Larry E. Jones & Rodolfo E. Manuelli & Ellen R. McGrattan, 2003. "Why are married women working so much?," Staff Report 317, Federal Reserve Bank of Minneapolis. [Downloadable!]
  6. Jacobson, Louis S & LaLonde, Robert J & Sullivan, Daniel G, 1993. "Earnings Losses of Displaced Workers," American Economic Review, American Economic Association, vol. 83(4), pages 685-709, September. [Downloadable!] (restricted)
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  7. Altug, Sumru & Miller, Robert A, 1998. "The Effect of Work Experience on Female Wages and Labour Supply," Review of Economic Studies, Blackwell Publishing, vol. 65(1), pages 45-85, January. [Downloadable!] (restricted)
  8. Elizabeth M. Caucutt & Nezih Guner & John Knowles, 2001. "The Timing of Births: A Marriage Market Analysis," Penn CARESS Working Papers 49355d43c11f2314075e8b54e, UCLA Department of Economics. [Downloadable!]
  9. Keane, Michael P & Wolpin, Kenneth I, 1997. "The Career Decisions of Young Men," Journal of Political Economy, University of Chicago Press, vol. 105(3), pages 473-522, June.
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  10. van der Klaauw, Wilbert, 1996. "Female Labour Supply and Marital Status Decisions: A Life-Cycle Model," Review of Economic Studies, Blackwell Publishing, vol. 63(2), pages 199-235, April. [Downloadable!] (restricted)
    Other versions:
  11. Hotz, V Joseph & Miller, Robert A, 1988. "An Empirical Analysis of Life Cycle Fertility and Female Labor Supply," Econometrica, Econometric Society, vol. 56(1), pages 91-118, January. [Downloadable!] (restricted)
  12. Lars Ljungqvist & Thomas J. Sargent, 1998. "The European Unemployment Dilemma," Journal of Political Economy, University of Chicago Press, vol. 106(3), pages 514-550, June. [Downloadable!] (restricted)
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  13. Pedro Mira & Namkee Ahn, 2002. "A note on the changing relationship between fertility and female employment rates in developed countries," Journal of Population Economics, Springer, vol. 15(4), pages 667-682. [Downloadable!] (restricted)
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Cited by:
(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. Hamish Low, 2005. "Self-Insurance in a Life-Cycle Model of Labor Supply and Savings," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(4), pages 945-975, October. [Downloadable!] (restricted)
  2. Claudia Olivetti, 2006. "Changes in Women's Hours of Market Work: The Role of Returns to Experience," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(4), pages 557-587, October. [Downloadable!] (restricted)
    Other versions:
  3. Heathcote, Jonathan & Storesletten, Kjetil & Violante, Giovanni L, 2004. "The Cross-Sectional Implications of Rising Wage Inequality in the United States," CEPR Discussion Papers 4296, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  4. Alessandra Fogli & Laura Veldkamp, 2008. "Nature or Nurture? Learning and the Geography of Female Labor Force Participation," NBER Working Papers 14097, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  5. Patricia Apps & Ray Rees, 2005. "Gender, Time Use and Public Policy Over the Life Cycle," CEPR Discussion Papers 500, Centre for Economic Policy Research, Research School of Social Sciences, Australian National University. [Downloadable!]
    Other versions:
  6. Andrés Erosa & Luisa Fuster & Diego Restuccia, 2005. "A Quantitative Theory of the Gender Gap in Wages," Working Papers tecipa-199, University of Toronto, Department of Economics. [Downloadable!]
    Other versions:
  7. John Laitner & Chris House & Dmitri Stolyarov, 2005. "Valuing Lost Home Production for Dual-Earner Couples," Working Papers wp097, University of Michigan, Michigan Retirement Research Center. [Downloadable!]
  8. Alessandra Fogli & Laura Veldkamp, 2007. "Nature or Nurture? Learning and Female Labor Force Dynamics," Working Papers 07-12, New York University, Leonard N. Stern School of Business, Department of Economics. [Downloadable!]
    Other versions:
  9. Luis Eduardo Arango & Carlos Esteban Posada, . "Labor Participation of Married Women in Colombia," Borradores de Economia 357, Banco de la Republica de Colombia. [Downloadable!]
    Other versions:
  10. Nezih Guner & Remzi Kaygusuz & Gustavo Ventura, 2008. "Taxation, aggregates and the household," Working Papers 660, Federal Reserve Bank of Minneapolis. [Downloadable!]
    Other versions:
  11. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2008. "The Macroeconomic Implications of Rising Wage Inequality in the United States," NBER Working Papers 14052, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  12. Jay H. Hong & Jose-Victor Rios-Rull, 2004. "Life insurance and household consumption," Working Papers 04-10, Federal Reserve Bank of Philadelphia. [Downloadable!]
  13. Rob Euwals & Marike Knoef & Daniel van Vuuren, 2007. "The Trend in Female Labour Force Participation: What Can Be Expected for the Future?," IZA Discussion Papers 3225, Institute for the Study of Labor (IZA). [Downloadable!]
  14. Rob Euwals & Marike Knoef & Daniel van Vuuren, 2007. "The trend in female labour force participation," CPB Discussion Papers 93, CPB Netherlands Bureau for Economic Policy Analysis. [Downloadable!]
  15. Patricia Apps & Ray Rees, 2004. "Life Cycle Time Allocation and Saving in an Imperfect Capital Market," CEPR Discussion Papers 475, Centre for Economic Policy Research, Research School of Social Sciences, Australian National University. [Downloadable!]
  16. Patricia Apps, 2006. "Family Taxation: An Unfair and Inefficient System," CEPR Discussion Papers 524, Centre for Economic Policy Research, Research School of Social Sciences, Australian National University. [Downloadable!]
  17. Ellen R. McGrattan & Richard Rogerson, 2007. "Changes in the distribution of family hours worked since 1950," Staff Report 397, Federal Reserve Bank of Minneapolis. [Downloadable!]
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