Abstract

BackgroundThe second wave of the COVID-19 pandemic led to substantial differences in incidence rates across Germany.MethodsAssumption-free k-nearest neighbour clustering from the principal component analysis of weekly incidence rates of German counties groups similar spreading behaviour. Different spreading dynamics was analysed by the derivative plots of the temporal evolution of tuples [x(t),x’(t)] of weekly incidence rates and their derivatives. The effectiveness of the different shutdown measures in Germany during the second wave is assessed by the difference of weekly incidences before and after the respective time periods.FindingsThe implementation of non-pharmaceutical interventions of different extents resulted in four distinct time periods of complex, spatially diverse, and age-related spreading patterns during the second wave of the COVID-19 pandemic in Germany. Clustering gave three regions of coincident spreading characteristics. October 2020 showed a nationwide exponential growth of weekly incidence rates with a doubling time of 10 days. A partial shutdown during November 2020 decreased the overall infection rates by 20–40% with a plateau-like behaviour in northern and southwestern Germany. The eastern parts exhibited a further near-linear growth by 30–80%. Allover the incidence rates among people above 60 years still increased by 15–35% during partial shutdown measures. Only an extended shutdown led to a substantial decrease in incidence rates. These measures decreased the numbers among all age groups and in all regions by 15–45%. This decline until January 2021 was about -1•25 times the October 2020 growth rates with a strong correlation of -0•96.InterpretationThree regional groups with different dynamics and different degrees of effectiveness of the applied measures were identified. The partial shutdown was moderately effective and at most stopped the exponential growth, but the spread remained partly plateau-like and regionally continued to grow in a nearly linear fashion. Only the extended shutdown reversed the linear growth.FundingInstitutional support and physical resources were provided by the University Witten/ Herdecke and Kliniken der Stadt Köln, German ministry of education and research ‘Netzwerk Universitätsmedizin’ (NUM), egePan Unimed (01KX2021).

Highlights

  • Introduction1 contributed to the current workMarch 2021 [6]. During that period the wild type of the virus was still the dominant pathogen, and no vaccination program had yet affected the immunity among the German population

  • 1 contributed to the current workMarch 2021 [6]

  • Superspreading events may have a substantial effect on exponential growth [9,10,11,12,13], whereas linear growth is driven by diffusive spreading throughout parts of social contact networks (SCNs) with low connectivity [8,14,15] shutdown measures prohibiting primarily nodes with high connectivity in SCNs may show poor effectiveness in reducing diffusive spreading [15,16,17]

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Summary

Introduction

1 contributed to the current workMarch 2021 [6]. During that period the wild type of the virus was still the dominant pathogen, and no vaccination program had yet affected the immunity among the German population. The second wave was characterized by the effects of non-pharmaceutical interventions (NPI), namely first partial (4 November 2020), and extended (16 December 2020) shutdown measures in Germany It should be noted that from 4 November to 16 December 2020, the daily incidence of SARS-CoV-2 varied greatly from 15/100 000 in northern parts of Germany to 120/100 000 in the eastern regions [27] Regarding these different incidence rates within one country, it has been recently shown by Thurner et al [8] that the spreading of infection dynamics in social contact networks (SCNs) exhibits at least two dynamic modes: a mode showing exponential growth of daily infections and a dynamic mode showing linear growth.

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