The study was conducted using the Institute for Health Metrics and Evaluation (IHME) openly published data on Covid-19 infections by sovereign country, to include daily infections/deaths as well as onset and discontinuation dates of state mandated social interaction interventions. As this was the primary source of information used for predictive modeling and setting public policy, it was chosen for its accuracy and regular updates.6
The primary goal was to quantify the decrease in the infection/mortality or decrease in the maximum infection/mortality rate as a result of defined state mandated social distancing measures. Mortality was chosen to define endpoint peaks and rates of change over registered infections within a state. Covid-19 registered infections are beset by inaccuracies due to: Inaccurate testing, asymptomatic patients, test availability, and regional variations in testing criterial. In most developed countries, the cause and time of death is typically consistently and accurately recorded.
IHME data accessed on April 12, 2020 at 1900 EST was used to preliminarily select more than 10 sovereign states which fit into a geographic area of similar genomic constituency and indicated by WHO to have developed healthcare standards.7 Each of the selected countries was an independent state which nationally instituted preventive social interaction law on a given date to include one of the four (4) possible mandates:
- Public School Closures
- Closure of non-essential businesses
- Severe travel restrictions
- Stay at home order
Countries which did not meet all of these criteria in the IHME data set were excluded from the analysis. Also, countries which did not maintain their state-wide mandated social distancing through the end of the examination period (May 1, 2020) were excluded. Twelve western European countries were included as listed in Table 1. These countries were in close geographically proximity, have a similar genomic alleles, have established and recognized healthcare systems, and have similar social behaviors.8,9,10 All states mandated social distancing universally across their respective country of the 4 variations listed above on a specific date provided by the IHME data set accessed on April 12, 2020 and maintained them through their peak infection rate.
Defined endpoints for the analysis included the date of the initial peak mortality in deaths per day. A state’s peak mortality was defined as the highest recorded daily deaths over a seven day moving average which was followed by a seven or more day decline in mortality with no other discernable peaks using these criteria. The dates of maximum mortality for all 12 countries were identifiable by the design criteria on the IHME data set accessed on May 1, 2020 at 2030 EST. (Table 1).7 The IHME data set was re-examined on May 15, 2020 to insure no secondary mortality rate peaks were noted and the rate was in a continued decline.7 The maximum daily mortality rate or peak infection rate was used an easily defined and universal endpoint in any infectious disease progression to examine the total viral mortality up to the maximum mortality rate.
Additionally, the maximum slope of the Covid-19 mortality was determined by evaluating the maximum of the derivative of the infection curve. Specifically, this slope was defined as the total recorded mortality five days after the maximum daily mortality rate minus the total recorded mortality five days before the maximum daily mortality rate divided by the 10 day interval. Both the total mortality and maximum mortality rate were normalized by dividing by the population of the selected state.
Equation 1 – Formula on how the estimate for the maximum mortality rate was calculated from the Covid-19 mortality data from IHME.
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)
All data was analyzed with Matlab14 and Microsoft Excel software to determine correlation coefficients and probabilities. General linear mixed effects (GLME) was used to examine combined effects of the multiple variables.
The study was conducted within the ethical principles contained in Declaration of Helsinki, Code of Federal Regulations (CRF), Obligations of Clinical Investigators (21 CFR 812). All data was public and anonymous so no IRB was needed.
We conducted two high-level bivariate studies of this data: the first being the peak daily death rate (same as maximum mortality rate) against the total mandate days, and the second being the mortality on the peak date against the total mandate days. Each mandate, if implemented, was implemented some number of days before the peak. The total mandate days is the simple summation of these number of days from all four social mandate categories. For example, Belgium implemented stay-at-home orders 25 days prior to it peaks, school-closures 29 days prior to its peak, non-essential business closures 25 days prior to its peak, and did not implement travel restrictions, resulting in 79 total mandate days.
Equation 2 – Formula on how the Total Mandate Days are calculated from individual mandates and the number of days prior to the peak daily death rate that the mandates were implemented.
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)
Then, we conducted two multi-variate studies of this data. The multivariate studies use the same response variables as in the univariate data: peak mortality rate and mortality at peak. The multivariate studies will then consider the effects of each mandate independently as well as incorporate genomic variation and median age in each country’s population.
Equation 3 – Peak mortality rate model studied in the multivariate analysis.
![](data:image/png;base64,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)
Equation 4 – Mortality at peak model studied in the multivariate analysis.
![](data:image/png;base64,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)
These models were then regressed onto the IHME data.