Simultaneity and selection in financial hardship and divorce

Abstract

While the correlation between financial hardship and divorce is well-documented, the causality remains unclear: it is plausible that divorce causes hardship, that hardship encourages divorce, or that unobserved factors produce both outcomes. We specify a model that nests these possibilities and estimate it using the National Longitudinal Survey of Youth 1979. Structural estimates indicate divorce reduces the income/needs ratio in women’s households by 0.35 standard deviations, though this is partially offset by apparent anticipatory labor supply responses. We also find a negative structural error correlation between divorce and income/needs ratios, but no evidence that a change in hardship causes divorce.

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Notes

  1. 1.

    Our variable selection is discussed in detail in section “Data”.

  2. 2.

    While we shall refer to the effect of D* as “anticipatory,” it could also represent a more advanced post-divorce response if those with higher D* tended to initiate divorce proceedings earlier within the discrete period we examine.

  3. 3.

    Maddala (1983) highlights the logical inconsistency of non-recursive models in which (in our notation) D* is a function of an outcome that varies with the realization of D. Our approach instead corresponds to his Model 5, which is logically consistent (Maddala, p. 120; see also pp. 117–120 and 288–289 for a more complete discussion).

  4. 4.

    Intuitively, if individuals somehow (e.g.) increased their income in response to an elevated risk of divorce (φ > 0), that would increase the reduced-form correlation ρ* between their incomes and risks of divorce. Thus, if we observed that those outcomes are (conditionally) uncorrelated (ρ* = 0), it must be that the individuals who have a higher risk of divorce would have had lower than expected incomes in the absence of the anticipatory response (ρ < 0).

  5. 5.

    We cannot simply augment the empirical specification with dummy variables for the number of previous marriages, as that would likely confound our ability to measure selection on unobserved factors. For example, if unobservable personality traits caused both divorces and financial hardship, such a specification may incorrectly attribute them to “effects” of prior marriages, leading to a lower estimate of the residual correlation ρ.

  6. 6.

    Other potential instruments for divorce were also considered, including local-area sex ratios by industry and occupation (Svarer 2007), but none proved sufficiently strong in the divorce equation to serve as suitable instruments.

  7. 7.

    One drawback of this measure is that it does not capture hardship that arises from profligate spending, rather than lack of income itself. It is at least plausible that irresponsible consumption could lead to divorce, though we imagine such divorces may be more often caused by psychological traits like impulsiveness than by financial hardship.

  8. 8.

    Estimates with floors at 2.5%, 5%, and 10% of a poverty level are available upon request. As the floor increases, the estimated effect of anticipatory behavior and other predictors of financial wellbeing decrease gradually.

  9. 9.

    Unfortunately, the personality traits on which we have data (self-esteem and external loci of control) reveal little: they have little explanatory power, and estimates are nearly identical if they are dropped from the specification. However, we suspect the correlation is more likely to reflect traits with more obvious consequences (e.g., mental illness, substance abuse, honesty, etc.).

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Acknowledgements

This research was conducted with restricted access to Bureau of Labor Statistics (BLS) data. The views expressed here do not necessarily reflect the views of the BLS. We are also grateful for financial support from the Melvin Lurie Fund and for comments from participants in several seminars and conferences, especially Scott Adams, Svetlana Beilfuss, John Heywood, and Owen Thompson. All errors are our own.

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Correspondence to Martin E. Meder.

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Drewianka, S., Meder, M.E. Simultaneity and selection in financial hardship and divorce. Rev Econ Household 18, 1245–1265 (2020). https://doi.org/10.1007/s11150-020-09518-7

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Keywords

  • Divorce
  • Income
  • Household
  • Family

JEL codes

  • J12
  • D10