Evaluation of individual and ensemble probabilistic forecasts of COVID-19 mortality in the United States

Author:

Cramer Estee Y.1ORCID,Ray Evan L.1ORCID,Lopez Velma K.2ORCID,Bracher Johannes34ORCID,Brennen Andrea5,Castro Rivadeneira Alvaro J.1,Gerding Aaron1,Gneiting Tilmann46ORCID,House Katie H.1,Huang Yuxin1,Jayawardena Dasuni1,Kanji Abdul H.1,Khandelwal Ayush1,Le Khoa1,Mühlemann Anja7,Niemi Jarad8ORCID,Shah Apurv1,Stark Ariane1,Wang Yijin1,Wattanachit Nutcha1,Zorn Martha W.1,Gu Youyang9,Jain Sansiddh10,Bannur Nayana10,Deva Ayush10,Kulkarni Mihir10,Merugu Srujana10,Raval Alpan10,Shingi Siddhant10,Tiwari Avtansh10,White Jerome10ORCID,Abernethy Neil F.11,Woody Spencer12ORCID,Dahan Maytal13,Fox Spencer12ORCID,Gaither Kelly13ORCID,Lachmann Michael14,Meyers Lauren Ancel12ORCID,Scott James G.15,Tec Mauricio16ORCID,Srivastava Ajitesh17,George Glover E.18ORCID,Cegan Jeffrey C.19ORCID,Dettwiller Ian D.18,England William P.18,Farthing Matthew W.18,Hunter Robert H.18ORCID,Lafferty Brandon18ORCID,Linkov Igor19,Mayo Michael L.18ORCID,Parno Matthew D.20,Rowland Michael A.18ORCID,Trump Benjamin D.19,Zhang-James Yanli21,Chen Samuel22ORCID,Faraone Stephen V.21,Hess Jonathan21,Morley Christopher P.23,Salekin Asif24ORCID,Wang Dongliang23,Corsetti Sabrina M.25ORCID,Baer Thomas M.26,Eisenberg Marisa C.272829,Falb Karl25ORCID,Huang Yitao25ORCID,Martin Emily T.29,McCauley Ella25,Myers Robert L.25,Schwarz Tom25,Sheldon Daniel30ORCID,Gibson Graham Casey31,Yu Rose3233,Gao Liyao34,Ma Yian35,Wu Dongxia32,Yan Xifeng36,Jin Xiaoyong36,Wang Yu-Xiang36,Chen YangQuan37,Guo Lihong38ORCID,Zhao Yanting39,Gu Quanquan40ORCID,Chen Jinghui40,Wang Lingxiao40,Xu Pan40ORCID,Zhang Weitong40,Zou Difan40,Biegel Hannah41,Lega Joceline41ORCID,McConnell Steve42ORCID,Nagraj V. P.43,Guertin Stephanie L.43,Hulme-Lowe Christopher44,Turner Stephen D.43ORCID,Shi Yunfeng45ORCID,Ban Xuegang46,Walraven Robert47ORCID,Hong Qi-Jun4849,Kong Stanley50,van de Walle Axel49ORCID,Turtle James A.51ORCID,Ben-Nun Michal51ORCID,Riley Steven52ORCID,Riley Pete51,Koyluoglu Ugur53ORCID,DesRoches David54,Forli Pedro55,Hamory Bruce56,Kyriakides Christina57,Leis Helen58,Milliken John53,Moloney Michael53,Morgan James53,Nirgudkar Ninad59,Ozcan Gokce53,Piwonka Noah58,Ravi Matt59,Schrader Chris58,Shakhnovich Elizabeth58,Siegel Daniel53,Spatz Ryan59,Stiefeling Chris60,Wilkinson Barrie61,Wong Alexander57,Cavany Sean62ORCID,España Guido62ORCID,Moore Sean62ORCID,Oidtman Rachel6263ORCID,Perkins Alex62ORCID,Kraus David64ORCID,Kraus Andrea64,Gao Zhifeng65,Bian Jiang65,Cao Wei65ORCID,Lavista Ferres Juan65ORCID,Li Chaozhuo65,Liu Tie-Yan65,Xie Xing65,Zhang Shun65,Zheng Shun65,Vespignani Alessandro6667ORCID,Chinazzi Matteo67,Davis Jessica T.67,Mu Kunpeng67,Pastore y Piontti Ana67,Xiong Xinyue67,Zheng Andrew68,Baek Jackie68,Farias Vivek69,Georgescu Andreea68,Levi Retsef69,Sinha Deeksha68ORCID,Wilde Joshua68,Perakis Georgia70ORCID,Bennouna Mohammed Amine70ORCID,Nze-Ndong David70,Singhvi Divya71,Spantidakis Ioannis70ORCID,Thayaparan Leann70,Tsiourvas Asterios70ORCID,Sarker Arnab72ORCID,Jadbabaie Ali72ORCID,Shah Devavrat72ORCID,Della Penna Nicolas73,Celi Leo A.73ORCID,Sundar Saketh74,Wolfinger Russ75,Osthus Dave76ORCID,Castro Lauren77,Fairchild Geoffrey77ORCID,Michaud Isaac76,Karlen Dean7879,Kinsey Matt80,Mullany Luke C.80ORCID,Rainwater-Lovett Kaitlin80ORCID,Shin Lauren80,Tallaksen Katharine80,Wilson Shelby80,Lee Elizabeth C.81ORCID,Dent Juan81ORCID,Grantz Kyra H.81,Hill Alison L.82ORCID,Kaminsky Joshua81,Kaminsky Kathryn83,Keegan Lindsay T.84ORCID,Lauer Stephen A.81,Lemaitre Joseph C.85ORCID,Lessler Justin81,Meredith Hannah R.81,Perez-Saez Javier81,Shah Sam86,Smith Claire P.81,Truelove Shaun A.818788ORCID,Wills Josh86ORCID,Marshall Maximilian89,Gardner Lauren89,Nixon Kristen89,Burant John C.90,Wang Lily8,Gao Lei91ORCID,Gu Zhiling8ORCID,Kim Myungjin8,Li Xinyi92,Wang Guannan93,Wang Yueying8,Yu Shan94ORCID,Reiner Robert C.95,Barber Ryan95,Gakidou Emmanuela95,Hay Simon I.95ORCID,Lim Steve95,Murray Chris95ORCID,Pigott David95,Gurung Heidi L.96,Baccam Prasith96,Stage Steven A.97ORCID,Suchoski Bradley T.96,Prakash B. Aditya98ORCID,Adhikari Bijaya99,Cui Jiaming98,Rodríguez Alexander98ORCID,Tabassum Anika100,Xie Jiajia98ORCID,Keskinocak Pinar101ORCID,Asplund John102,Baxter Arden101ORCID,Oruc Buse Eylul101ORCID,Serban Nicoleta101,Arik Sercan O.103,Dusenberry Mike103,Epshteyn Arkady103,Kanal Elli103,Le Long T.103,Li Chun-Liang103,Pfister Tomas103,Sava Dario103,Sinha Rajarishi103ORCID,Tsai Thomas104,Yoder Nate103ORCID,Yoon Jinsung103,Zhang Leyou103ORCID,Abbott Sam105,Bosse Nikos I.105,Funk Sebastian105ORCID,Hellewell Joel105,Meakin Sophie R.105ORCID,Sherratt Katharine105ORCID,Zhou Mingyuan106,Kalantari Rahi107,Yamana Teresa K.108ORCID,Pei Sen108ORCID,Shaman Jeffrey108ORCID,Li Michael L.68ORCID,Bertsimas Dimitris69ORCID,Skali Lami Omar68ORCID,Soni Saksham68ORCID,Tazi Bouardi Hamza68ORCID,Ayer Turgay101109,Adee Madeline110,Chhatwal Jagpreet110,Dalgic Ozden O.111,Ladd Mary A.110,Linas Benjamin P.112,Mueller Peter110,Xiao Jade101,Wang Yuanjia113114ORCID,Wang Qinxia113,Xie Shanghong113,Zeng Donglin115,Green Alden116,Bien Jacob117,Brooks Logan116,Hu Addison J.116,Jahja Maria116,McDonald Daniel118ORCID,Narasimhan Balasubramanian119120,Politsch Collin121ORCID,Rajanala Samyak120ORCID,Rumack Aaron121ORCID,Simon Noah122,Tibshirani Ryan J.116ORCID,Tibshirani Rob120,Ventura Valerie116,Wasserman Larry116,O’Dea Eamon B.123,Drake John M.123ORCID,Pagano Robert124,Tran Quoc T.125,Ho Lam Si Tung126ORCID,Huynh Huong127,Walker Jo W.2,Slayton Rachel B.2ORCID,Johansson Michael A.2ORCID,Biggerstaff Matthew2ORCID,Reich Nicholas G.1ORCID

Affiliation:

1. Department of Biostatistics and Epidemiology, University of Massachusetts, Amherst, MA 01003

2. COVID-19 Response, Centers for Disease Control and Prevention; Atlanta, GA 30333

3. Chair of Econometrics and Statistics, Karlsruhe Institute of Technology, 76185 Karlsruhe, Germany

4. Computational Statistics Group, Heidelberg Institute for Theoretical Studies, 69118 Heidelberg, Germany

5. IQT Labs, In-Q-Tel, Waltham, MA 02451

6. Institute of Stochastics, Karlsruhe Institute of Technology, 69118 Karlsruhe, Germany

7. Institute of Mathematical Statistics and Actuarial Science, University of Bern, CH-3012 Bern, Switzerland

8. Department of Statistics, Iowa State University, Ames, IA 50011

9. Unaffiliated, New York, NY 10016

10. Wadhwani Institute of Artificial Intelligence, Andheri East, Mumbai, 400093, India

11. University of Washington, Seattle, WA 98109

12. Department of Integrative Biology, University of Texas at Austin, Austin, TX 78712

13. Texas Advanced Computing Center, Austin, TX 78758

14. Santa Fe Institute, Santa Fe, NM 87501

15. Department of Information, Risk, and Operations Management, University of Texas at Austin, Austin, TX 78712

16. Department of Statistics and Data Sciences, University of Texas at Austin, Austin, TX 78712

17. Ming Hsieh Department of Computer and Electrical Engineering, University of Southern California, Los Angeles, CA 90089

18. US Army Engineer Research and Development Center, Vicksburg, MS 39180

19. US Army Engineer Research and Development Center, Concord, MA 01742

20. US Army Engineer Research and Development Center, Hanover, NH 03755

21. Department of Psychiatry and Behavioral Sciences, State University of New York Upstate Medical University, Syracuse, NY 13210

22. School of Medicine, State University of New York Upstate Medical University, Syracuse, NY 13210

23. Department of Public Health & Preventive Medicine, State University of New York Upstate Medical University, Syracuse, NY 13210

24. Department of Electrical Engineering and Computer Science, Syracuse University, Syracuse, NY 13207

25. Department of Physics, University of Michigan, Ann Arbor, MI, 48109

26. Department of Physics, Trinity University, San Antonio, TX 78212

27. Department of Complex Systems, University of Michigan, Ann Arbor, MI 48109

28. Department of Mathematics, University of Michigan, Ann Arbor, MI 48109

29. School of Public Health, Department of Epidemiology, University of Michigan, Ann Arbor, MI 48109

30. College of Information and Computer Sciences, University of Massachusetts, Amherst, MA 01003

31. School of Public Health and Health Sciences, University of Massachusetts, Amherst, MA 01003

32. Department of Computer Science and Engineering, University of California, San Diego, CA 92093

33. Khoury College of Computer Sciences, Northeastern University, Boston, MA 02115

34. Department of Statistics, University of Washington, Seattle, WA 98185

35. Halıcıoğlu Data Science Institute, University of California, San Diego, CA 92093

36. Department of Computer Science, University of California, Santa Barbara, CA 93106

37. Mechatronics, Embedded Systems and Automation Lab, Department of Mechanical Engineering, University of California, Merced, CA 95301

38. Jilin University, Changchun City, Jilin Province, 130012, People's Republic of China

39. University of Science and Technology of China, Heifei, Anhui, 230027, People's Republic of China

40. Department of Computer Science, University of California, Los Angeles, CA 90095

41. Department of Mathematics, University of Arizona, Tucson, AZ 85721

42. Construx, Bellevue, WA 98004

43. Quality Assurance and Data Science, Signature Science, LLC, Charlottesville, VA 22911

44. Quality Assurance and Data Science, Signature Science, LLC, Austin, TX 78759

45. Department of Materials Science and Engineering, Rensselaer Polytechnic Institute, Troy, NY 12309

46. Department of Civil and Environmental Engineering, University of Washington, Seattle, WA 98195

47. Unaffiliated, Davis, CA 95616

48. School for Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ 85287

49. School of Engineering, Brown University, Providence, RI 02912

50. Manhasset Secondary School, Manhasset, NY 11030

51. Infectious Disease Group, Predictive Science, Inc, San Diego, CA 92121

52. Medical Research Council Centre for Global Infectious Disease Analysis, Department of Infectious Disease Epidemiology, School of Public Health, Imperial College, W2 1PG London, United Kingdom

53. Financial Services, Oliver Wyman, New York, NY 10036

54. Oliver Wyman Digital, Oliver Wyman, Boston, MA 02110

55. Oliver Wyman Digital, Oliver Wyman, Sao Paolo, Brazil 04711-904

56. Health & Life Sciences, Oliver Wyman, Boston, MA 02110

57. Oliver Wyman Digital, Oliver Wyman, New York, NY 10036

58. Health & Life Sciences, Oliver Wyman, New York, NY 10036

59. Core Consultant Group, Oliver Wyman, New York, NY 10036

60. Financial Services, Oliver Wyman Digital, Toronto, ON, Canada M5J 0A1

61. Financial Services, Oliver Wyman, London, UK W1U 8EW

62. Department of Biological Sciences, University of Notre Dame, Notre Dame, IN 46556

63. Department of Ecology and Evolution, University of Chicago, Chicago, IL 60637

64. Department of Mathematics and Statistics, Masaryk University, 61137 Brno, Czech Republic

65. Microsoft, Redmond, WA 98029

66. Institute for Scientific Interchange Foundation, Turin, 10133, Italy

67. Laboratory for the Modeling of Biological and Socio-technical Systems, Northeastern University, Boston, MA 02115

68. Operations Research Center, Massachusetts Institute of Technology; Cambridge, MA 02139

69. Sloan School of Management, Massachusetts Institute of Technology, Cambridge, MA 02142

70. Massachusetts Institute of Technology, Cambridge, MA 02142

71. Technology, Operations and Statistics (TOPS) group, Stern School of Business, New York University, New York, NY 10012

72. Institute for Data, Systems, and Society, Massachusetts Institute of Technology, Cambridge, MA 02139

73. Laboratory for Computational Physiology, Massachusetts Institute of Technology, Cambridge, MA 02139

74. River Hill High School, Clarksville, MD 21029

75. JMP Life Sciences, SAS Institute Inc, Cary, NC 27513

76. Statistical Sciences Group, Los Alamos National Laboratory, Los Alamos, NM 87545

77. Information Systems and Modeling Group, Los Alamos National Laboratory, Los Alamos, NM 87545

78. Department of Physics and Astronomy, University of Victoria, Victoria, BC, V8W 2Y2, Canada

79. Physical Sciences Division, TRIUMF, Vancouver, BC, V8W 2Y2, Canada

80. Johns Hopkins University Applied Physics Laboratory, Laurel, MD 20723

81. Department of Epidemiology, Johns Hopkins Bloomberg School of Public Health, Baltimore, MD 21215

82. Institute for Computational Medicine, Johns Hopkins Bloomberg School of Public Health, Baltimore, MD 21218

83. Unaffiliated, Baltimore, MD 21205

84. Division of Epidemiology, Department of Internal Medicine, University of Utah, Salt Lake City, UT 84108

85. Laboratory of Ecohydrology, School of Architecture, Civil and Environmental Engineering, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland

86. Unaffiliated, San Francisco, CA 94122

87. International Vaccine Access Center, Johns Hopkins University, Baltimore, MD 21231

88. Department of International Health, Johns Hopkins Bloomberg School of Public Health, Baltimore, MD 21231

89. Department of Civil and Systems Engineering, Johns Hopkins University, Baltimore, MD 21218

90. Unaffiliated, Amsterdam, The Netherlands

91. Department of Finance, Iowa State University, Ames, IA 50011

92. School of Mathematical and Statistical Sciences, Clemson University, Clemson, SC 29634

93. Department of Mathematics, College of William & Mary, Williamsburg, VA 23187

94. Department of Statistics, University of Virginia, Charlottesville, VA 22904

95. Institute for Health Metrics and Evaluation, University of Washington, Seattle, WA 98195

96. Emerging Technologies, IEM, Inc., Bel Air, MD 21015

97. Emerging Technologies, IEM, Inc., Baton Rouge, LA 70809

98. College of Computing, Georgia Institute of Technology, Atlanta, GA 30308

99. Department of Computer Science, University of Iowa, Iowa City, IA 52242

100. Department of Computer Science, Virginia Tech, Falls Church, VA 22043

101. H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA, 30332

102. Advanced Data Analytics, Metron, Inc., Reston, VA 20190

103. Google Cloud, Sunnyvale, CA 94089

104. Department of Health Policy and Management, Harvard University, Cambridge, MA 02138

105. Centre for Mathematical Modelling of Infectious Diseases, London School of Hygiene & Tropical Medicine, WC1E 7HT London, United Kingdom

106. McCombs School of Business, The University of Texas at Austin, Austin, TX 78712

107. Department of Electrical and Computer Engineering, The University of Texas at Austin, Austin, TX 78712

108. Department of Environmental Health Sciences, Columbia University, New York, NY 10032

109. Winship Cancer Institute, Emory University Medical School, Atlanta, GA 30322

110. Radiology-Institute for Technology Assessment, Massachusetts General Hospital, Boston, MA 02114

111. Health Economic Modeling, Value Analytics Labs, 34776 İstanbul, Turkey

112. Department of Medicine, Section of Infectious Diseases, Boston University School of Medicine, Boston, MA 02118

113. Department of Biostatistics, Columbia University, New York, NY 10032

114. Department of Psychiatry, Columbia University, New York, NY 10032

115. Department of Biostatistics, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599

116. Department of Statistics, Carnegie Mellon University, Pittsburgh, PA 15213

117. Marshall School of Business, Department of Data Sciences and Operations (DSO), University of Southern California, Los Angeles, CA 90089

118. Department of Statistics, University of British Columbia, Vancouver, BC, V6T 1Z4, Canada

119. Department of Biomedical Data Sciences, Stanford University, Stanford, CA 94305

120. Department of Statistics, Stanford University, Stanford, CA 94305

121. Machine Learning Department, Carnegie Mellon University, Pittsburgh, PA 15213

122. Department of Biostatistics, University of Washington, Seattle, WA 98195

123. Odum School of Ecology, University of Georgia, Athens, GA 30602

124. Unaffiliated, Tucson, AZ 85704

125. Catalog Data Science, Walmart Inc., Sunnyvale, CA 94085

126. Department of Mathematics and Statistics, Dalhousie University, Halifax, NS, B3H 4R2, Canada

127. Virtual Power System Inc, Milpitas, CA 95035

Abstract

Short-term probabilistic forecasts of the trajectory of the COVID-19 pandemic in the United States have served as a visible and important communication channel between the scientific modeling community and both the general public and decision-makers. Forecasting models provide specific, quantitative, and evaluable predictions that inform short-term decisions such as healthcare staffing needs, school closures, and allocation of medical supplies. Starting in April 2020, the US COVID-19 Forecast Hub ( https://covid19forecasthub.org/ ) collected, disseminated, and synthesized tens of millions of specific predictions from more than 90 different academic, industry, and independent research groups. A multimodel ensemble forecast that combined predictions from dozens of groups every week provided the most consistently accurate probabilistic forecasts of incident deaths due to COVID-19 at the state and national level from April 2020 through October 2021. The performance of 27 individual models that submitted complete forecasts of COVID-19 deaths consistently throughout this year showed high variability in forecast skill across time, geospatial units, and forecast horizons. Two-thirds of the models evaluated showed better accuracy than a naïve baseline model. Forecast accuracy degraded as models made predictions further into the future, with probabilistic error at a 20-wk horizon three to five times larger than when predicting at a 1-wk horizon. This project underscores the role that collaboration and active coordination between governmental public-health agencies, academic modeling teams, and industry partners can play in developing modern modeling capabilities to support local, state, and federal response to outbreaks.

Publisher

Proceedings of the National Academy of Sciences

Subject

Multidisciplinary

Reference37 articles.

1. The Politics of Surveillance and Response to Disease Outbreaks

2. Outbreak analytics: a developing data science for informing the response to emerging pathogens

3. Applying infectious disease forecasting to public health: a path forward using influenza forecasting examples

4. E. Cramer COVID-19 Forecast Hub: 4 December 2020 snapshot. https://zenodo.org/record/4305938#.Yf1TQOrMI2x (Accessed 11 December 2020).

5. CDC COVID-19 Forecasting and Mathematical Modeling. Centers for Disease Control and Prevention. https://www.cdc.gov/coronavirus/2019-ncov/science/forecasting/mathematical-modeling.html (Accessed 2 March 2022).

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