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Implications of heterogeneous SIR models for analyses of COVID-19

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  • Glenn Ellison

    (Massachusetts Institute of Technology
    NBER)

Abstract

This paper provides a quick survey of results on the classic SIR model and variants allowing for heterogeneity in contact rates. It notes that calibrating the classic model to data generated by a heterogeneous model can lead to forecasts that are biased in several ways and to understatement of the forecast uncertainty. Among the biases are that we may underestimate how quickly herd immunity might be reached, underestimate differences across regions, and have biased estimates of the impact of endogenous and policy-driven social distancing.

Suggested Citation

  • Glenn Ellison, 2024. "Implications of heterogeneous SIR models for analyses of COVID-19," Review of Economic Design, Springer;Society for Economic Design, vol. 28(4), pages 651-687, December.
    • Handle: RePEc:spr:reecde:v:28:y:2024:i:4:d:10.1007_s10058-024-00355-z
    DOI: 10.1007/s10058-024-00355-z
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    1. Rachel Glennerster & Thomas Kelly & Claire T. McMahon & Christopher M. Snyder, 2024. "Quantifying the Social Value of a Universal COVID-19 Vaccine and Incentivizing Its Development," NBER Working Papers 32059, National Bureau of Economic Research, Inc.
    2. Rowthorn, Robert & Toxvaerd, Flavio, 2012. "The Optimal Control of Infectious Diseases via Prevention and Treatment," CEPR Discussion Papers 8925, C.E.P.R. Discussion Papers.
    3. Martin S Eichenbaum & Sergio Rebelo & Mathias Trabandt, 2021. "The Macroeconomics of Epidemics [Economic activity and the spread of viral diseases: Evidence from high frequency data]," The Review of Financial Studies, Society for Financial Studies, vol. 34(11), pages 5149-5187.
    4. James H. Stock, 2020. "Data Gaps and the Policy Response to the Novel Coronavirus," NBER Working Papers 26902, National Bureau of Economic Research, Inc.
    5. Adriano A. Rampini, 2020. "Sequential Lifting of COVID-19 Interventions with Population Heterogeneity," NBER Working Papers 27063, National Bureau of Economic Research, Inc.
    6. Fernández-Villaverde, Jesús & Jones, Charles I., 2022. "Estimating and simulating a SIRD Model of COVID-19 for many countries, states, and cities," Journal of Economic Dynamics and Control, Elsevier, vol. 140(C).
    7. Michael Kremer, 1996. "Integrating Behavioral Choice into Epidemiological Models of AIDS," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(2), pages 549-573.
    8. Danielle Miller & Michael A. Martin & Noam Harel & Omer Tirosh & Talia Kustin & Moran Meir & Nadav Sorek & Shiraz Gefen-Halevi & Sharon Amit & Olesya Vorontsov & Avraham Shaag & Dana Wolf & Avi Peretz, 2020. "Full genome viral sequences inform patterns of SARS-CoV-2 spread into and within Israel," Nature Communications, Nature, vol. 11(1), pages 1-10, December.
    9. Toxvaerd, F.M.O, 2020. "Equilibrium Social Distancing," Cambridge Working Papers in Economics 2021, Faculty of Economics, University of Cambridge.
    10. Andrew Atkeson, 2020. "How Deadly is COVID-19? Understanding the Difficulties with Estimation of its Fatality Rate," Staff Report 598, Federal Reserve Bank of Minneapolis.
    11. Callum Jones & Thomas Philippon & Venky Venkateswaran, 2021. "Optimal Mitigation Policies in a Pandemic: Social Distancing and Working from Home [A simple planning problem for covid-19 lockdown]," The Review of Financial Studies, Society for Financial Studies, vol. 34(11), pages 5188-5223.
    12. Michael Droste & James H. Stock, 2021. "Adapting to the COVID-19 Pandemic," AEA Papers and Proceedings, American Economic Association, vol. 111, pages 351-355, May.
    13. J. O. Lloyd-Smith & S. J. Schreiber & P. E. Kopp & W. M. Getz, 2005. "Superspreading and the effect of individual variation on disease emergence," Nature, Nature, vol. 438(7066), pages 355-359, November.
    14. Farboodi, Maryam & Jarosch, Gregor & Shimer, Robert, 2021. "Internal and external effects of social distancing in a pandemic," Journal of Economic Theory, Elsevier, vol. 196(C).
    15. David McAdams, 2021. "The Blossoming of Economic Epidemiology," Annual Review of Economics, Annual Reviews, vol. 13(1), pages 539-570, August.
    16. Korolev, Ivan, 2021. "Identification and estimation of the SEIRD epidemic model for COVID-19," Journal of Econometrics, Elsevier, vol. 220(1), pages 63-85.
    17. Christopher Avery & William Bossert & Adam Clark & Glenn Ellison & Sara Fisher Ellison, 2020. "Policy Implications of Models of the Spread of Coronavirus: Perspectives and Opportunities for Economists," NBER Working Papers 27007, National Bureau of Economic Research, Inc.
    18. T. Britton, 1998. "Estimation in multitype epidemics," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 60(4), pages 663-679.
    19. Nikolaos Demiris & Philip D. O'Neill, 2005. "Bayesian inference for stochastic multitype epidemics in structured populations via random graphs," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 67(5), pages 731-745, November.
    20. Michael Greenstone & Vishan Nigam, 2020. "Does Social Distancing Matter?," Working Papers 2020-26, Becker Friedman Institute for Research In Economics.
    21. Christopher Avery & William Bossert & Adam Thomas Clark & Glenn Ellison & Sara Ellison, 2020. "Policy Implications of Models of the Spread of Coronavirus: Perspectives and Opportunities for Economists," CESifo Working Paper Series 8293, CESifo.
    22. David McAdams, 2020. "Nash SIR: An Economic-Epidemiological Model of Strategic Behavior During a Viral Epidemic," Papers 2006.10109, arXiv.org.
    23. Michael Kremer, 1996. "Integrating Behavioral Choice into Epidemiological Models of the AIDS Epidemic," NBER Working Papers 5428, National Bureau of Economic Research, Inc.
    24. Christopher Avery & William Bossert & Adam Clark & Glenn Ellison & Sara Fisher Ellison, 2020. "An Economist's Guide to Epidemiology Models of Infectious Disease," Journal of Economic Perspectives, American Economic Association, vol. 34(4), pages 79-104, Fall.
    25. Glenn Ellison, 2020. "Implications of Heterogeneous SIR Models for Analyses of COVID-19," NBER Working Papers 27373, National Bureau of Economic Research, Inc.
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    More about this item

    Keywords

    SIR models; Homophily; COVID-19; Epidemiology; Contact heterogeneity; Herd immunity;
    All these keywords.

    JEL classification:

    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health

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