Abstract
The number of persons daily infected with Covid-19 as a function of time is fitted with a trend line based on an iterative power law (n = ¼) with a day-to-day reproduction rate modelled with a polyline. From the trend line, an effective reproduction rate Reff of Covid-19 is calculated. In all three states, Reff decreases in the initial phase to one indicating that there is no exponential growth. In Sweden, a steady state with Reff around 1 and a high daily infection rates. In Germany, Reff = 1 is reached before public and private life is restricted. With these restrictions, Reff is reduced further to 0.87 (CI95 [0.83.; 0.91]) after 40 days so that, speculatively estimated, 9500 premature fatalities within two months may have been avoided. In France, it seems that only strongly restricting private life sends Reff down to 1 and further down to about 0.7 (CI95 [0.3; 1.1]) after 45 days. With Reff permanently below 1, an exponential decline of the number of daily infections is observed in Germany and France.
Competing Interest Statement
The authors have declared no competing interest.
Funding Statement
No external funding was received.
Author Declarations
I confirm all relevant ethical guidelines have been followed, and any necessary IRB and/or ethics committee approvals have been obtained.
Yes
The details of the IRB/oversight body that provided approval or exemption for the research described are given below:
The paper is about publicly available data.
All necessary patient/participant consent has been obtained and the appropriate institutional forms have been archived.
Yes
I understand that all clinical trials and any other prospective interventional studies must be registered with an ICMJE-approved registry, such as ClinicalTrials.gov. I confirm that any such study reported in the manuscript has been registered and the trial registration ID is provided (note: if posting a prospective study registered retrospectively, please provide a statement in the trial ID field explaining why the study was not registered in advance).
Yes
I have followed all appropriate research reporting guidelines and uploaded the relevant EQUATOR Network research reporting checklist(s) and other pertinent material as supplementary files, if applicable.
Yes
Paper in collection COVID-19 SARS-CoV-2 preprints from medRxiv and bioRxiv
The Chan Zuckerberg Initiative, Cold Spring Harbor Laboratory, the Sergey Brin Family Foundation, California Institute of Technology, Centre National de la Recherche Scientifique, Fred Hutchinson Cancer Center, Imperial College London, Massachusetts Institute of Technology, Stanford University, University of Washington, and Vrije Universiteit Amsterdam.