Optimal Lockdown in a Commuting Network

We study optimal dynamic lockdowns against Covid-19 within a commuting network. Our framework combines canonical spatial epidemiology and trade models, and is applied to cities with varying initial viral spread: Seoul, Daegu and NYC-Metro. Spatial lockdowns achieve substantially smaller income losses than uniform lockdowns, and are not easily approximated by simple centrality-based rules. In NYM and Daegu -with large initial shocks- the optimal lockdown restricts inflows to central districts before gradual relaxation, while in Seoul it imposes low temporal but large spatial variation. Actual commuting responses were too weak in central locations in Daegu and NYM, and too strong across Seoul.

[1]  J. Maciejowski,et al.  A cost–benefit analysis of the COVID-19 disease , 2020, Oxford Review of Economic Policy.

[2]  Fausto Gozzi,et al.  A Simple Planning Problem for COVID-19 Lockdown , 2020, SSRN Electronic Journal.

[3]  John R. Birge,et al.  Controlling Epidemic Spread: Reducing Economic Losses with Targeted Closures , 2020, Manag. Sci..

[4]  J. Stock,et al.  Data Gaps and the Policy Response to the Novel Coronavirus , 2020 .

[5]  L. A. Rvachev,et al.  A mathematical model for the global spread of influenza , 1985 .

[6]  Wookun Kim.  The Valuation of Local Government Spending: Gravity Approach and Aggregate Implications∗ , 2020 .

[7]  Francesca Molinari,et al.  Estimating the COVID-19 infection rate: Anatomy of an inference problem , 2020, Journal of Econometrics.

[8]  The Impact of Regional and Sectoral Productivity Changes on the U.S. Economy , 2014 .

[9]  J. Adda,et al.  Economic Activity and the Spread of Viral Diseases: Evidence from High Frequency Data , 2015, SSRN Electronic Journal.

[10]  A. Fogli,et al.  Pandemic Control in ECON-EPI Networks , 2020, medRxiv.

[11]  A. Atkeson,et al.  How Deadly is Covid-19? Understanding the Difficulties with Estimation of its Fatality Rate , 2020 .

[12]  J. Arino,et al.  A multi-city epidemic model , 2003 .

[13]  Ruifu Yang,et al.  An investigation of transmission control measures during the first 50 days of the COVID-19 epidemic in China , 2020, Science.

[14]  O. Diekmann,et al.  On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations , 1990, Journal of mathematical biology.

[15]  C. Whittaker,et al.  Report 9: Impact of non-pharmaceutical interventions (NPIs) to reduce COVID19 mortality and healthcare demand , 2020 .

[16]  Pierre-Daniel G. Sarte,et al.  The Impact of Regional and Sectoral Productivity Changes on the US Economy , 2013 .

[17]  Nik J. Cunniffe,et al.  Applying optimal control theory to complex epidemiological models to inform real-world disease management , 2018, bioRxiv.

[18]  S. Bhatt,et al.  Estimating the effects of non-pharmaceutical interventions on COVID-19 in Europe , 2020, Nature.

[19]  A. Atkeson,et al.  What Will Be the Economic Impact of Covid-19 in the Us? Rough Estimates of Disease Scenarios , 2020 .

[20]  Luna Yue Huang,et al.  The effect of large-scale anti-contagion policies on the COVID-19 pandemic , 2020, Nature.

[21]  Jonathan Eaton,et al.  Technology, Geography, and Trade , 2002 .

[22]  A. Shoushtari,et al.  Seroprevalence Investigation of Newcastle Disease in Rural Poultries of the Northern Provinces (Golestan, Gilan, and Mazandaran) of Iran. , 2019, Archives of Razi Institute.

[23]  Chonggang Xu,et al.  High Contagiousness and Rapid Spread of Severe Acute Respiratory Syndrome Coronavirus 2 , 2020, Emerging infectious diseases.

[24]  Xinxin Zhang,et al.  Phase-adjusted estimation of the number of Coronavirus Disease 2019 cases in Wuhan, China , 2020, Cell Discovery.

[25]  J. Heathcote,et al.  Health Versus Wealth: On the Distributional Effects of Controlling a Pandemic , 2020, The Federal Reserve Bank of Kansas City Research Working Papers.

[26]  E. Rossi-Hansberg,et al.  Quantitative Spatial Economics , 2016 .

[27]  Long Wang,et al.  Human mobility restrictions and the spread of the Novel Coronavirus (2019-nCoV) in China☆ , 2020, Journal of Public Economics.

[28]  Kimon Drakopoulos,et al.  Network Effects in Contagion Processes: Identification and Control , 2017 .

[29]  A. Rodrı́guez-Clare,et al.  Trade, Domestic Frictions, and Scale Effects , 2012 .

[30]  Jonathan I. Dingel,et al.  How many jobs can be done at home? , 2020, Journal of Public Economics.

[31]  Mark A. Miller,et al.  Synchrony, Waves, and Spatial Hierarchies in the Spread of Influenza , 2006, Science.

[32]  G. Chowell,et al.  Transmission potential and severity of COVID-19 in South Korea , 2020, International Journal of Infectious Diseases.

[33]  J. Stock,et al.  Reopening Scenarios , 2020 .

[34]  E. Rossi-Hansberg,et al.  Globalization and Pandemics , 2020, American Economic Review.

[35]  Jure Leskovec,et al.  Mobility network models of COVID-19 explain inequities and inform reopening , 2020, Nature.

[36]  Peter J. Klenow,et al.  Trading Off Consumption and Covid-19 Deaths , 2020, Quarterly Review.

[37]  Facundo Piguillem,et al.  Optimal Covid-19 Quarantine and Testing Policies , 2020, The Economic Journal.

[38]  C. Jones,et al.  Estimating and simulating a SIRD Model of COVID-19 for many countries, states, and cities , 2020, Journal of Economic Dynamics and Control.

[39]  Douglas L. Miller,et al.  Bootstrap-Based Improvements for Inference with Clustered Errors , 2007 .

[40]  B Grenfell,et al.  Space, persistence and dynamics of measles epidemics. , 1995, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[42]  S. Eubank,et al.  Commentary on Ferguson, et al., “Impact of Non-pharmaceutical Interventions (NPIs) to Reduce COVID-19 Mortality and Healthcare Demand” , 2020, Bulletin of Mathematical Biology.

[43]  Aravind Srinivasan,et al.  Modelling disease outbreaks in realistic urban social networks , 2004, Nature.

[44]  Pierre-Daniel G. Sarte,et al.  The Impact of Regional and Sectoral Productivity Changes on the U.S. Economy , 2014 .

[45]  C. Macken,et al.  Mitigation strategies for pandemic influenza in the United States. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[46]  James E. Anderson,et al.  Gravity with Gravitas: A Solution to the Border Puzzle , 2001 .

[47]  Christopher A. Gilligan,et al.  Optimal control of epidemics in metapopulations , 2009, Journal of The Royal Society Interface.

[48]  Chang-tai Hsieh,et al.  The Cost of Privacy: Welfare Effects of the Disclosure of COVID-19 Cases , 2020, Review of Economics and Statistics.

[49]  Victor Chernozhukov,et al.  A Multi-Risk SIR Model with Optimally Targeted Lockdown , 2020 .

[50]  E. Rossi-Hansberg,et al.  Commuting, Migration and Local Employment Elasticities , 2015, American Economic Review.

[51]  S. Goldman,et al.  Cost Optimization in the SIS Model of Infectious Disease with Treatment , 2002 .

[52]  Flavio Toxvaerd,et al.  The Optimal Control of Infectious Diseases Via Prevention and Treatment , 2012 .

[53]  Jessica T Davis,et al.  The effect of travel restrictions on the spread of the 2019 novel coronavirus (COVID-19) outbreak , 2020, Science.

[54]  Venky Venkateswaran,et al.  Optimal Mitigation Policies in a Pandemic: Social Distancing and Working from Home , 2020, The Review of Financial Studies.