Are official confirmed cases and fatalities counts good enough to study the COVID-19 pandemic dynamics? A critical asses

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ORIGINAL PAPER

Are official confirmed cases and fatalities counts good enough to study the COVID-19 pandemic dynamics? A critical assessment through the case of Italy Krzysztof Bartoszek . Emanuele Guidotti Marcin Okro´j

. Stefano Maria Iacus

.

Received: 24 April 2020 / Accepted: 10 June 2020 Ó The Author(s) 2020

Abstract As the COVID-19 outbreak is developing the two most frequently reported statistics seem to be the raw confirmed case and case fatalities counts. Focusing on Italy, one of the hardest hit countries, we look at how these two values could be put in perspective to reflect the dynamics of the virus spread. In particular, we find that merely considering the confirmed case counts would be very misleading. The number of daily tests grows, while the daily fraction of confirmed cases to total tests has a change point. It (depending on region) generally increases with strong fluctuations till (around, depending on region) 15–22

K.B. is supported by the Swedish Research Council (Vetenskapsra˚det) Grant No. 2017–04951. M.O is supported by National Science Centre Poland Grant No. 2014/14/E/NZ6/ 00182. K. Bartoszek Department of Computer and Information Science, Linko¨ping University, 581 83 Linko¨ping, Sweden e-mail: [email protected]; [email protected]

March and then decreases linearly after. Combined with the increasing trend of daily performed tests, the raw confirmed case counts are not representative of the situation and are confounded with the sampling effort. This we observe when regressing on time the logged fraction of positive tests and for comparison the logged raw confirmed count. Hence, calibrating model parameters for this virus’s dynamics should not be done based only on confirmed case counts (without rescaling by the number of tests), but take also fatalities and hospitalization count under consideration as variables not prone to be distorted by testing efforts. Furthermore, reporting statistics on the national level does not say much about the dynamics of the disease, which are taking place at the regional level. These findings are based on the official data of total death counts up to 15 April 2020 released by M. Okro´j Department of Cell Biology and Immunology, Intercollegiate Faculty of Biotechnology, University of Gdan´sk and Medical University of Gdan´sk, Gdan´sk, Poland e-mail: [email protected]

E. Guidotti Institut d’Analyse Financie`re, University of Neuchaˆtel, Neuchaˆtel, Switzerland e-mail: [email protected] S. M. Iacus (&) European Commission, Joint Research Centre, Via E. Fermi 2749, 21027 Ispra, VA, Italy e-mail: [email protected]

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K. Bartoszek et al.

ISTAT and up to 10 May 2020 for the number of cases. In this work, we do not fit models but we rather investigate whether this task is possible at all. This work also informs about a new tool to collect and harmonize official statistics coming from different sources in the form of a package for the R statistical environment and presents