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Estimated time of infection vs. confirmed infections

Following the ideas from Tomas Pueyo's Medium post "Coronavirus: Why You Must Act Now" [1], we assume the average time from infection to death at 23 days [2]. The data is pulled from the COVID-19 Data Repository by Johns Hopkins CSSE [3] every hour. Countries with a minimnum of 1000 confirmed cases and 40 confirmed deaths are included in this analysis.

The time from infection to death is equal to the incubation period plus the time from symptoms to death. This is used to estimate the time of the infections that lead to the observed deaths. We take the last fatality rate per country (total_cases/total_deaths) to estimate the number of infections that are responsible for the observed deaths.

In the figures below, you can observe successive waves of infections (dashed), detections (black) and deaths (red) for each country. The upper panel shows the absolute number of events. The dashed lines show the estimated number of infections. The lower panel shows the normalized number of events. Here the temporal delay between the waves and the relative change between each other can be observed.

[1] https://medium.com/@tomaspueyo/coronavirus-act-today-or-people-will-die-f4d3d9cd99ca

[2] https://github.com/midas-network/COVID-19/tree/master/parameter_estimates/2019_novel_coronavirus

[3] https://github.com/CSSEGISandData/COVID-19/tree/master/csse_covid_19_data/csse_covid_19_time_series

US
Brazil
India
Russia
Mexico
Peru
United Kingdom
Italy
Indonesia
France
Iran
Colombia
Argentina
Germany
Poland
Ukraine
Spain
South Africa
Turkey
Romania
Philippines
Chile
Hungary
Vietnam
Czechia
Canada
Bulgaria
Ecuador
Malaysia
Belgium
Pakistan
Bangladesh
Tunisia
Japan
Greece
Iraq
Thailand
Egypt
Netherlands
Bolivia
Portugal
Burma
Slovakia
Kazakhstan
Paraguay
Sweden
Guatemala
Georgia
Sri Lanka
Morocco
Serbia
Bosnia and Herzegovina
Austria
Croatia
Jordan
Switzerland
South Korea
Nepal
Moldova
Honduras
Israel
Lebanon
Azerbaijan
North Macedonia
Saudi Arabia
Lithuania
Armenia
Cuba
Costa Rica
Panama
Afghanistan
Ethiopia
Uruguay
Algeria
Belarus
Ireland
Slovenia
Libya
Hong Kong
Australia
Venezuela
Kenya
West Bank and Gaza
Latvia
Denmark
Zimbabwe
Sudan
China
Dominican Republic
Oman
El Salvador
Namibia
Zambia
Trinidad and Tobago
Uganda
Albania
Nigeria
Kosovo
Syria
Cambodia
Kyrgyzstan
Finland
Jamaica
Montenegro
Malawi
Botswana
Kuwait
Estonia
United Arab Emirates
Mozambique
Mongolia
Norway
Yemen
Senegal
Cameroon
Angola
Uzbekistan
Bahrain
Rwanda
Ghana
Eswatini
Madagascar
Somalia
Congo (Kinshasa)
Suriname
Guyana
Singapore
Luxembourg
Mauritania
Mauritius
Cyprus
Haiti
Taiwan*
Fiji
Tanzania
Cote d'Ivoire
Bahamas
Mali
Lesotho
Qatar
Belize
Laos
Papua New Guinea
Malta
Guinea
Cabo Verde
Congo (Brazzaville)
Burkina Faso
Gambia
Saint Lucia
Barbados
Gabon
Maldives
Togo
Nicaragua
Grenada
Brunei
Djibouti
New Zealand
Equatorial Guinea
Benin
Seychelles
Andorra
South Sudan
Timor-Leste
Solomon Islands
Tajikistan
Central African Republic
San Marino

Ahead of the curve

Some countries start testing the population earlier in the outbreak than others. The time delay between the wave of deaths and the wave of confirmed cases is indicative for how early a country is detecting new cases ahead of the increase of deaths. Earlier detection means a better chances for successful isolation of an infected person and treatment of the desease.

We measure the distance of the maximum of cumulative deaths and new deaths to the number of infections to estimate the progression of the infection across countries.

If, in the early phase of the infection wave, the number of deaths rises faster than the number of confirmed cases, the distance drops, indicating that

A comparison of countries with respect to their mean time for reponse is presented below.

To determine the above values, we plot the number of confirmed cases (solid black lines) and the number of deaths (dashed black lines). From this, we measure the distance of the day of maximum deaths (dashed red lines) to the day of confirmed cases at this y-value.

The distance is indicative for how fast the humber of confirmed cases increases comapred to the increase of the number of deaths.

US
Brazil
India
Russia
Mexico
Peru
United Kingdom
Italy
Indonesia
France
Iran
Colombia
Argentina
Germany
Poland
Ukraine
Spain
South Africa
Turkey
Romania
Philippines
Chile
Hungary
Vietnam
Czechia
Canada
Bulgaria
Ecuador
Malaysia
Belgium
Pakistan
Bangladesh
Tunisia
Japan
Greece
Iraq
Thailand
Egypt
Netherlands
Bolivia
Portugal
Burma
Slovakia
Kazakhstan
Paraguay
Sweden
Guatemala
Georgia
Sri Lanka
Morocco
Serbia
Bosnia and Herzegovina
Austria
Croatia
Jordan
Switzerland
South Korea
Nepal
Moldova
Honduras
Israel
Lebanon
Azerbaijan
North Macedonia
Saudi Arabia
Lithuania
Armenia
Cuba
Costa Rica
Panama
Afghanistan
Ethiopia
Uruguay
Algeria
Belarus
Ireland
Slovenia
Libya
Hong Kong
Australia
Venezuela
Kenya
West Bank and Gaza
Latvia
Denmark
Zimbabwe
Sudan
China
Dominican Republic
Oman
El Salvador
Namibia
Zambia
Trinidad and Tobago
Uganda
Albania
Nigeria
Kosovo
Syria
Cambodia
Kyrgyzstan
Finland
Jamaica
Montenegro
Malawi
Botswana
Kuwait
Estonia
United Arab Emirates
Mozambique
Mongolia
Norway
Yemen
Senegal
Cameroon
Angola
Uzbekistan
Bahrain
Rwanda
Ghana
Eswatini
Madagascar
Somalia
Congo (Kinshasa)
Suriname
Guyana
Singapore
Luxembourg
Mauritania
Mauritius
Cyprus
Haiti
Taiwan*
Fiji
Tanzania
Cote d'Ivoire
Bahamas
Mali
Lesotho
Qatar
Belize
Laos
Papua New Guinea
Malta
Guinea
Cabo Verde
Congo (Brazzaville)
Burkina Faso
Gambia
Saint Lucia
Barbados
Gabon
Maldives
Togo
Nicaragua
Grenada
Brunei
Djibouti
New Zealand
Equatorial Guinea
Benin
Seychelles
Andorra
South Sudan
Timor-Leste
Solomon Islands
Tajikistan
Central African Republic
San Marino