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Novel Shift-Share Instruments and Their Applications

Author

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  • Benjamin Ferri

    (Boston College)

Abstract

Shift-Share (Bartik) instruments are among the most important tools for causal identification in economics. In this paper, I crystallize main ideas underlying Shift-Share instruments - their core structure, distinctive claim to validity as instruments, history, uses, and wealth of varieties. I argue that the essence of the Shift-Share approach is to decompose the endogenous explanatory variable into an accounting identity with multiple component parts; preserve that which is most exogenous in the accounting identity, and neutralize that which is most endogenous. Following this framework, I show clearly how several variants in the literature are related. I then develop formulas for several new variants. Particularly, I show how to develop Shift-Share instruments for distribution summaries beyond the mean - the variance, skew, absolute deviation around a central point, and Gini coefficient. As an empirical application that highlights the themes of the paper, I measure the effect of earnings inequality on rates of single parenting in the U.S., comparing results using each of various alternative instruments for the Gini coefficient.

Suggested Citation

  • Benjamin Ferri, 2022. "Novel Shift-Share Instruments and Their Applications," Boston College Working Papers in Economics 1053, Boston College Department of Economics.
  • Handle: RePEc:boc:bocoec:1053
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    References listed on IDEAS

    as
    1. Gould, Eric D. & Paserman, M. Daniele, 2003. "Waiting for Mr. Right: rising inequality and declining marriage rates," Journal of Urban Economics, Elsevier, vol. 53(2), pages 257-281, March.
    2. Timothy J. Bartik, 1991. "Who Benefits from State and Local Economic Development Policies?," Books from Upjohn Press, W.E. Upjohn Institute for Employment Research, number wbsle, November.
    3. Card, David, 2001. "Immigrant Inflows, Native Outflows, and the Local Labor Market Impacts of Higher Immigration," Journal of Labor Economics, University of Chicago Press, vol. 19(1), pages 22-64, January.
    4. David H. Autor & David Dorn & Gordon H. Hanson, 2013. "The China Syndrome: Local Labor Market Effects of Import Competition in the United States," American Economic Review, American Economic Association, vol. 103(6), pages 2121-2168, October.
    5. Enamorado, Ted & López-Calva, Luis F. & Rodríguez-Castelán, Carlos & Winkler, Hernán, 2016. "Income inequality and violent crime: Evidence from Mexico's drug war," Journal of Development Economics, Elsevier, vol. 120(C), pages 128-143.
    6. Rebecca Diamond, 2016. "The Determinants and Welfare Implications of US Workers' Diverging Location Choices by Skill: 1980-2000," American Economic Review, American Economic Association, vol. 106(3), pages 479-524, March.
    7. Bound, John & Holzer, Harry J, 2000. "Demand Shifts, Population Adjustments, and Labor Market Outcomes during the 1980s," Journal of Labor Economics, University of Chicago Press, vol. 18(1), pages 20-54, January.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    shift-share; bartik; instrumental variables; panel data; labor demand and supply; earnings inequality; single parenting;
    All these keywords.

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C26 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Instrumental Variables (IV) Estimation
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • J20 - Labor and Demographic Economics - - Demand and Supply of Labor - - - General
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • R23 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Household Analysis - - - Regional Migration; Regional Labor Markets; Population

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