Abstract
This paper examines how an individual’s labor supply responds immediately to her spouse’s health shock in an aging household and how she adjusts her labor supply over time after her spouse’s health shock. Different from previous work, this paper considers the subsequent health evolution following the spouse’s health shock by proposing an adaptation model where the long-term labor supply adjustment of an individual is allowed to depend on her spouse’s health evolution after the initial shock. Analysis of the 1996-2012 data from the Health and Retirement Study (HRS) suggests that in the short run, both husbands and wives change their labor supply very little when their spouses become ill, but in the long run, a husband’s labor supply adjustment does vary with his wife’s current health status after her initial health shock. In contrast, the wife’s annual work hours are not affected by her husband’s health shock in the long run, regardless of husband’s subsequent health status. Households with an ill wife are probably at greater risk than those with an unhealthy husband in the long run, which may be attributed to the role that women have traditionally played in the household.
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Notes
Since the sample in this study is composed of married couples and labor supply models will be estimated for husbands and wives separately, these individual fixed effects also capture all household fixed effects. An example of the household-specific time invariant unobserved heterogeneity is the similar lifestyle shared between spouses, while the individual-specific time invariant unobserved factor can be one’s self-discipline or time management.
Coile (2004) further reveals that the wife is more likely to exit the labor force if her husband’s health shock is severe.
This paper uses the RAND HRS data produced by the RAND Center for the Study of Aging.
The 1996–2012 waves of the HRS examined in this paper overlap with the time period investigated in the majority of cited work, making it especially meaningful to compare the new evidence found in this study with the results revealed in previous literature.
If either spouse in a household dies in a given wave, the current wave and subsequent observations for this household will be excluded from this sample. If one spouse reports herself being divorced in a given wave, the corresponding observation for this household in this wave is excluded.
Here “single” means a respondent remains single across all waves. In addition, households with a remarriage are excluded, since spousal health shocks probably cause a change in household composition that may independently influence an individual’s labor supply decision (Levy, 2002), which is beyond the scope of this study.
The sample excludes households with only one wave for the sake of a longitudinal data set.
As people age, there likely be a growing number of zero work hours observed in the sample if retirement is an absorbing state. Such a mass of observations with zero hours may cause biased estimates of the labor supply effects of bad health. To address it, I restrict the sample to those individuals who are not retired when they are first observed in the sample, and for them, I include the interview waves up to the first time they report their labor force status as retired. In other words, those observations after retirement will be excluded from the panel of study for these individuals, regardless of their subsequent employment status. I conduct such sample restrictions for males and females separately and then estimate the labor supply model in (1). The estimation results for the restricted sample (available upon request) are generally consistent with the main conclusions drawn for the full sample of this study. In addition, to control for potential joint retirement decision within a couple, I include an indicator of whether the spouse is retired as a covariate in one’s labor supply equation. This alternative specification yields qualitatively the same results as model (1).
The validity of the excluded variables is tested and discussed in Appendix C. The test results verify that the excluded objective health variables are highly correlated with self-assessed health measures and that the excluded variables do not directly affect the dependent variable in the structure model of interest.
The endogeneity tests presented in Table 1 reject the null hypothesis that own and spousal subjective health variables are exogenous in labor supply equations, which justify the implemented IV approach. The construction of optimal instruments through the probit model in (2) and the first-stage regression results are presented in Table A3 and Table A4 of Appendix A, respectively. See Appendix C for the discussion of the validity of constructed optimal instrumental variables.
As in basic model, I also conduct an alternative specification by including an indicator of whether the spouse is retired as a covariate in model (3). The alternative specification produces qualitatively the same results as the adaptation model presented in Equation (3).
The estimation results for the first-stage regressions of 2SLS are presented in Table A6 of Appendix A. The optimal instruments for health status and interactions are strongly correlated with the corresponding endogenous variables.
When analyzing the age range of 45–59, the estimated coefficient on \(D_{it}^s\) in the regression of wife’s work hours is −134.6 and significant at the 10% level if the current health is measured by work-limiting health conditions. However, the coefficient on \(D_{it}^s\) is not significant in analyses of other age ranges. Detailed regression results are available upon request.
For the age range of 45–63, the estimated coefficients on \(H_{it}^s \ast D_{it}^s\) in the models of husband’s work hours are negative and statistically significant, regardless of which measure of spouse’s current health is examined. It is noteworthy that the significant coefficient on this interaction when work-limiting health condition is examined differs from the insignificant estimation results for the 45–70 age range and does not remain significant for other age ranges. In addition, when analyzing the age ranges of 45–67 and 45–68, the estimated coefficients on \(H_{it}^s\) in the models of wife’s work hours are negative and statistically significant if self-reported health status is examined. However, the coefficient on \(H_{it}^s\) is not significant for other age ranges. Detailed regression results of these exceptions are available upon request.
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Acknowledgements
I would like to thank the editor and two anonymous referees for constructive comments and suggestions that have improved the paper considerably. I would also like to thank the participants at the Southern Economic Association (SEA) meeting 2020 in New Orleans, LA and the Southeastern Micro Labor Workshop 2022 in Columbia, SC.
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Li, N. Health and household labor supply: instantaneous and adaptive behavior of an aging workforce. Rev Econ Household 21, 1359–1378 (2023). https://doi.org/10.1007/s11150-022-09636-4
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DOI: https://doi.org/10.1007/s11150-022-09636-4