Quantitative analyses on the global coronavirus pandemic

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Kentucky’s COVID-19 Experience

Senator Rand Paul’s criticism of Dr. Fauci earlier this week left the impression that Kentucky solved the Pandemic problem.  On what basis did he conclude that Kentucky “never really reached any sort of pandemic levels… We have less deaths in Kentucky than we have in an average flu season”?

Kentucky has had 7080 cases of COVID-19 — with little evidence that the pandemic has slowed in May.  On a per-capita basis 0.16% of its population — including its senator — has contracted the disease.  326 Kentuckians have died from this disease or more than 73 per million of its citizens.  This compares to the 33 confirmed seasonal flu death in Kentucky this season.  This gives Kentucky a coincident case fatality rate of 4.6%, ~20 times worse than seasonal flu’s 0.24% this year.  The 4.6% measured may or may not be a good estimate given that Kentucky has only tested 2.6% of its population compared to the national average of 3.1%.

If it were a country, Kentucky’s infection rate matches that of Iran, Turkey, Ecuador, and Russia who certainly acknowledge that they are experiencing the Pandemic in a major way.  As a country, Kentucky’s mortality rate matches that of Brazil and Turkey — certainly nothing to crow about.  Both of these are point in time measurements so depending on where each country’s pandemic experience is, the rankings could change over time.  No matter how you slice it though, Kentucky has not escaped the COVID-19 Pandemic.  Now that it has reopened (May 11th) its death count from COVID-19 is likely to more than double by summer.   

Do More Testing — MAGA!

The US President was recently quoted as saying:

“If we did very little testing, we wouldn’t have the most cases.  So, in a way, by doing all of this testing, we make ourselves look bad” 

You have been poorly advised.  The infections are in the country whether we test or not.  Moreover, now that you have reopened the country, too quickly according to some crazy critics, everyone will get infected sooner rather than later.  The infection rate doesn’t really matter much when everyone is infected.  However, if you can test everyone that is infected you can lower the measured case fatality rate.  A lower fatality rate will make American look great again in the eyes of its own citizens and the world.

The US has a measured fatality rate of 6.0%, better than some countries in Europe but definitely worse than some of the countries lauded as best in class for managing their COVID-19 pandemics better than others: for example South Korea, Taiwan, Australia, and Germany.  Each of these countries has surpassed the US in at least one of two important testing metrics: percent testing positive and tests per capita.    

CountryInfectionsDeathsFatality RateInfections
/million
Deaths
/million
Tests
/million
% Testing Positive
U.S.1,290,242 76,8646.0%       3,907       233 23,59717%
Germany   168,655    7,2774.3%       2,015         87 32,8916%
S. Korea     10,810       2562.4%          209           5 12,6662%
Taiwan           429           61.4%            18           0   2,7731%
Australia        6,896         971.4%          270           4 28,3351%

The most important thing is to test widely and efficiently until a country reaches a low enough positive result rate to feel confident that they have sampled the population well.  When only 1% to 2% of all test results return positive then they can feel confident that they have caught not just the most symptomatic cases but also most of the mildly symptomatic and asymptomatic cases in the population.  This gives countries like South Korea, Taiwan, and Australia confidence that if they can isolate all these patients and all those that they came into close contact with, they will have contained the pandemic.  Equally important it gives their citizens confidence to go out to work and shop — “only a couple percent of the population now test hot and only a couple percent of those will die — not so bad.”  Countries that have tested widely and efficiently all have a lower fatality rate than countries that haven’t (see figure below).  This is partly reflective of the fact that countries that have poor testing capacity can only test the most severely ill and most likely to die.  As they ramp up their testing capacity, they can then test and isolate asymptomatic but infectious cases as well and have a chance to stop the pandemic. 

Until we reach that level, an interim metric that measures how widely a country has tested its population is just the number of tests per capita.  For the US testing 8M people and 2.4% of the population seems like a lot but when 17% of those tests had returned positive, it means that we had only probed the tip of the iceberg.  On this metric the US barely makes it into the top 50 countries around the world, far behind the leader Iceland at 15.1% and behind Germany at 3.3% and Australia at 2.8%.  Germany continues to push testing because their tests returned 6% positive, cumulative to date. 

So, Mr. President, I guarantee you that if you tested more widely you can get positive results down to 1%.  Florida just approached 2.5% a couple of days ago.  When this is achieved on a nationwide cumulative to date basis, the US fatality rate will drop below Germany’s 4.3%. (Theirs will always remain higher than ours because their population is much older than ours, but we will never concede this minor point.) The real point is that you will have beaten your nemesis, Angela Merkel, and all the other big silly EU countries as well as China with their ridiculous 5.6% fatality rate — MAGA!

COIVD-19 Demographic Factors

There has been a lot of discussion about race and other demographic differences in communities showing up as higher death rates for example for Blacks and Hispanics.  But it is important to understand the concepts of infection rate, death rate, and mortality rate for a pandemic.  Death rates, the number of fatalities in each subpopulation divided by the number of people in each subpopulation, while stark and headline-grabbing, is not so important in terms of disease understanding and control.  It is a point in time measurement that increases monotonically as a disease progresses from zero to some large scary number.  Different communities may experience the disease at different starting points so it is often meaningless to compare this metric among different communities.  Infection rate, the number of confirmed cases divided by the number of people in each subpopulation is important and indicates how susceptible each group of people may be to a disease.  Fatality rate, the number of deaths in a subpopulation divided by the number of people in each subpopulation that catches the disease is important because it reveals how certain risk factors are causing them to die more often than others who catch the disease.

Let’s look at how these 3 metrics apply to the COVID-19 outbreak in California (CA) as of May 3rd.  The table below shows that the number of confirmed cases for Latinos constitute 47.5% of all confirmed cases in CA.  This might suggest that Latinos are suffering more from the pandemic.  On closer inspection, the percentage of Latinos who die from COVID-19 constitute 34.3% of all deaths in CA.  This suggests that COVID-19 might be less fatal for Latinos.  When we calculate the fatality rate for Latinos it is just 4.1% versus 7.6% for Whites and 5.7% for all Californians (note that this coincident fatality rate may be understated due to differences in timing between diagnosis and death).  But this also would be jumping to the wrong conclusion. 

Race/Ethnicity ​No. Cases% Cases​No. Deaths% Deaths% CA populationFatality Rate
Latino   17,716 ​47.5         720​34.3 ​38.94.1%
White     9,607 ​26.2         730​35.1 ​36.67.6%
Asian     4,320 ​11.8         355​16.8 ​15.48.2%
African American/Black     2,330 ​6.3         216​10.4            6.09.3%
Multi-Race        318 ​0.9             8​0.4 ​2.22.5%
American Indian or Alaska Native          71 ​0.2             7​0.3 ​0.59.9%
Native Hawaiian and other Pacific Islander        416 ​1.1           201.0 ​0.34.8%
Other     2,186             6.0           36​1.7 ​01.6%
Total with data36,9642,0925.7%

The reason that the Latino fatality rate is so low compared to that for Whites is that the median age for Latinos is 27 versus 39 for Whites in CA.  The table below breaks out the CA data into 4 age groups.  You can see that there is a disproportionate number of young Latinos (0-17) that got infected but had zero fatalities that pulled down the fatality rate for the whole ethnic group.  The 0-17 age group had no fatalities – a phenomenon seen in many other countries.  Latino fatalities in other age groups are all consistent with the age dependence we found in every country we studied.  Similarly the apparent higher than average fatality rate for Whites, 7.6%, compared to the state average, 5.7%, can be explained by the higher than average age of Whites in CA.

Asians, especially the young, seem to catch it less often than the population in general (11.8% cases vs 15.4% by population). This may be due to their wider acceptance of mask-wearing in general for disease prevention.  But when they do catch it Asian mortality is higher especially for the 65+ group at 25.9%).  The higher prevalence of multigenerational Asian families may expose more highly vulnerable grandparents to COVID-19 than average.  More data is required to check out this theory.

Blacks seem to catch the disease no more and no less than their share of the population (6.3% of all cases vs 6.0% of the population), unlike in many other cities in the US.  However, they do seem to die more often for every age group, although the statistical significance is somewhat marginal at this point due to small numbers.  Poorer health and higher comorbidities may play a part that could be examined further with additional data. 

0–17
Cases
18–49
Cases
18–49
Deaths
18–49
Fatality
50–64
Cases
50–64
Deaths
50–64
Fatality
65+
Cases
65+
Deaths
65+
Fatality
Latino7459,979 910.9%4,5111533.4%2,47347619.2%
White1183,670        110.3%2,546742.9%3,26764519.7%
Asian501,892        100.5%1,205443.7%1,16430125.9%
African American      21    949         181.9%    679        365.3%    681      16223.8%
Multi-Race8183            –  0.0%7611.3%50           714.0%
Indian or Native        4      39          25.1%       15           16.7%       13           430.8%
Hawaiian and PI       1     206         10.5%     127          32.4%      82       1619.5%
Other411,120            –  0.0%61050.8%413    317.5%
Total with data98818,038 1330.7%9,7693173.2%8,1431,64220.2%

The lesson here is that early data in a pandemic, especially in terms of death rate differences may turn out to be meaningless.  An infection that starts first in the Black community may seem to produce a higher death rate among Blacks but as it spreads out into other communities, the initial difference becomes less and less significant and could even reverse.  Infection rate differences are important to recognize and attack early since they usually relate to factors that could be controlled such as social distancing, crowd control, mask-wearing, hand washing, and testing availability.  There are other factors that affect infection rates that are more difficult to change such as household numbers, housing density, job requirements, etc. but they could still be adjusted.

Factors that affect fatality rates often cannot be changed or are very difficult to change in the short term: age, gender, comorbidities such as obesity, diabetes, and heart disease.  But knowing the scope of these risk factors can help guide the vulnerable population toward less risky and more sheltered and safer behavior.  At the moment it does not seem that the novel coronavirus respects differences in borders, politics, religion, income, fame, or race. 

States Want to Reopen But Few Have Met the Criteria

One of the requirements that the President set on April 16th for reopening the country is that the state or region must  show 14 consecutive days of declining daily case counts  No state has met this criterion in the strict sense.  For some of the states that have reopened or announced reopening soon such as Minnesota, Tennessee, Arkansas, Arizona, Indiana, Iowa, and Colorado the latest 14-day trend in their case counts is actually upward and they should definitely not ease any of the restrictions they have in place.  For some of the reopening states such as Texas, Ohio, Kentucky, Alabama, and Mississippi the trend is mostly flat and not downward.  Only for Florida, Georgia, Louisiana, Oklahoma, Alaska, Idaho, and Montana, are the most recent two-week trend edging downward.  The alternate gating criterion of a downward trajectory of positive tests as a percentage of total tests has also not been met by most states.  This criterion makes more sense in those situations where a state broadens testing protocol significantly to cover both asymptomatic and mildly symptomatic cases such that case counts may even rise temporarily.  

Florida cities and counties responded early and forcefully to tackle the COVID-19 pandemic as soon as the first confirmed case appeared on March 1st.  So even though the governor only declared a state-wide stay-at-home policy on April 4th, Florida is one of the few states that passed both versions of the President’s gating criteria on case count for reopening the state.  The figure below shows that a week after the governor’s state-wide order, the confirmed case count (brown squares against left axis) peaked around 1200 cases per day near April 9th.  Fatality count (blue diamonds against right axis) began to flatten out a week later near 45 per day but still has yet to peak. 

The figure below shows the number of COVID-19 tests performed in Florida each day over the last 5 weeks.  Florida has tested about 1.78% of its population to date — comparable to the US total of 1.88%.  While the number of daily tests (brown squares against left axis) has increased by roughly 50%, the more significant metric is the percentage of tests that returned positive results (blue diamonds against right axis) dropped steadily from near 12% to near 6% — roughly half of that of the US as a whole recently at 12%.  This means that FL has begun to test more of their uninfected and less obviously infected cases.  It is important to continue to broaden the test administration so that Florida can gain a better understanding of where the disease remains so that effective isolation and contact tracing can be conducted to cut the transmission further.  Antibody serology tests which are easier to do could provide complementary information on what portion of the currently uninfected population has already been infected and may have gained immunity.  

Florida is reopening May 4th with a conservative phased approach to minimize reinfection. Most of the state will reopen certain businesses like restaurants and retailers at 25% capacity and with strict adherence to the social distancing guidelines of the CDC.  Movie theatres, bars, fitness centers, and places that offer personal services will open later.  Miami-Dade, Broward and Palm Beach Counties that are the most infected will not reopen until additional data can be collected to show that they are sufficiently safe.

To Improve the US Fatality Rate, the President Just Needs to Improve Testing

When we look at the cumulative confirmed cases and fatality data for close to two hundred countries, it seems quite remarkable that some countries seem to do 10 times better than other countries in terms of case fatality rate.  We might conclude that the novel coronavirus discriminates by country or that certain countries manage their pandemics much better than others.  The truth is more complicated. 

When examining mortality rates two issues are important: how we count deaths and how we test patients.  The case fatality rate is a straightforward statistic calculated by dividing number of confirmed deaths by the number of confirmed cases for any group or subgroup of patients.  For an ongoing pandemic, this statistic is almost always understated.  Firstly, because it generally takes several days for a confirmed case to resolve itself into death or a cure, so the denominator using the current case count is overstated.  Secondly, many deaths occur outside the healthcare system and although the patient was never tested positive for coronavirus they often show many signs that they probably died of COVID-19.  The cause of death assignment is often subjective, especially when there are comorbidities involved.  The most probable ones should be counted in both the numerator and denominator to determine the true COVID-19 fatality rate.

The other major problem is that the total number of infectees is rarely known while the pandemic is raging since we are most likely testing only a subpopulation of all infectees. Often the testing protocol stipulates that we test only the most seriously ill and most at-risk.  This protocol is actually not the most efficient way to test the population given limited resources because you wind up testing patients that are most likely to test positive anyway and miss a large number of asymptomatic and mildly symptomatic cases, vastly underestimating the denominator of the fatality rate.  This is one reason it is so important to test early and widely to get an accurate picture of how the infection is spreading within the general population.  The other major impetus for wide testing is, of course, to ascertain that every infectee is identified and isolated as soon as possible and all their potential contacts tracked and isolated as well to contain the spread of the disease.  Once we are able to do this we can more confidently calculate the COVID-19 fatality rate as the total confirmed and probable deaths due to COVID-19 divided by the total number of deaths (confirmed and probable) plus cures (including all those infectees that never showed any symptoms).  While the pandemic is raging we can only estimate this number. 

We need to do this so we can identify those segments of the population that are most at risk early.  The table below lists the top countries in the world in terms of confirmed cases and fatalities plus a few countries that have been identified as doing well in terms of managing their pandemics.  We had already examined the age and gender effect in Spain and Italy and found them to be very similar in form with mortality doubling every 7yrs in the range 35-75yrs old.  Both countries tested nearly 2.9% of their population (as of April 27) which seems like a reasonable amount but since both countries were highly infected 11% to 17% of the tests returned positive.  When a high percentage of tests return positive results it means that we are only testing those that are most suspect and not really testing the full population adequately.

South Korea is now held up as the best practice example in early and widespread testing and contact tracing.  While they have only tested 1.2% of their population, they tested to the point where only 2% of their tests returned positive.  Interestingly enough when we look at their age-dependent data, we see that they follow a steeper exponential form (mortality doubling every 5.9 yrs)  that is lower overall due to more complete sampling of the full population.  The steepening we believe is due to the fact that most countries test their at-risk (older male) population better than they do the younger population which tends to have milder and sometimes asymptomatic cases.  When we look at Germany which is often considered the best practice country in Europe, we see a very similar graph to that of South Korea.  Germany has tested more than South Korea (2.5% vs 1.2% of their population, respectively) but not as thoroughly as South Korea with 8% of their tests returning positive results. 

USA testing completeness and efficiency is very poor and needs to improve by a factor of 2.5 to match Germany’s efficiency.  Testing kits should not be distributed randomly to achieve the same percentage of the population tested, but rather more to those regions that are hotter than others and returning more than 10% positive results.  States like NJ that continue to return near 50% positive test results must increase their testing by more than 5 fold to achieve a more accurate measure of their infection.  If the President wants a lower fatality rate for the USA, he simply needs to improve testing.

Because age is such a strong effect, we see that the apparent difference in fatality rates between Germany (3.8%) and South Korea (2.3%) may be entirely explained by the older population of Germany (47.1 vs 41.8 yrs).  The difference between South Korea and New Zealand could also be explained by age distribution differences in their population.  As testing becomes more complete and efficient in the seven countries with double-digit percentage fatalities, we predict that their fatality rates will decline by more than a factor of 2.  The fatality rate differential now seen among all countries will narrow significantly and we may then search for other comorbidity risk and structural factors that could better explain any residual differences in how each country is impacted by the COVID-19 pandemic. 

CountryInfections
/million
InfectionsDeathsFatalityDeath
/million
Median AgeTests
/million
% Test Positive
Spain       4,905   229,42223,52110.3%   502.942.7 28,77917%
Belgium       4,028     46,687  7,20715.4%   621.841.9 18,46822%
Switzerland       3,409     29,164  1,6655.7%   194.642.4 28,34312%
Italy       3,289  199,41426,97713.5%   445.045.5 29,60011%
USA       3,0591,010,35656,7975.6%   172.038.1 17,21118%
France       2,546  165,84222,29313.4%   342.341.4   7,10336%
Netherlands       2,232    38,245  4,51811.8%   264.041.2 11,31920%
UK       2,319  157,14921,09213.4%   311.240.5 10,60522%
Germany       1,890  158,213  6,0213.8%      71.947.1 24,7388%
Sweden       1,877    18,926  2,27412.0%   225.541.2   9,35720%
Norway       1,396      7,554     2052.7%      37.939.2 30,3105%
S. Korea          208    10,738     2432.3%        4.741.8 11,8692%
Taiwan            18          429          61.4%        0.240.7   2,5901%
N. Zealand          299      1,470       181.2%        3.737.9 26,1431%
Australia          264      6,720        831.2%        3.338.7 20,2771%

Sweden Continues to Go Its Own Way in the Pandemic

Sweden’s response to the COVID-19 Pandemic has been very unusual and it’s justification for continuing the policy is magical thinking.  They have relied on voluntary social distancing and “herd immunity” to solve their pandemic problem.  There are few words to adequately describe the tragedy unfolding in Sweden so I’ll just let these tables and graphs speak for themselves.

The figure above shows the progress of the infection in Sweden since the first case was confirmed on Feb 25th.  Since then the number of confirmed cases per day (brown squares) has increased steadily with no signs of stabilization.  The first death was reported on March 13th and with about a 10-day lag, it has tracked steadily upward every day since then.  The death count (shown as blue diamonds) is plotted on the right axis scaled to 16% of the case count on the left axis.  That means the fatality rate is roughly 16%.  This mortality rate is much higher than that for its Scandinavian neighbors, Denmark and Norway, and Finland (shown in the table below).  Sweden’s mortality rate may be so high because they are testing very little and missing many of the asymptomatic and mildly symptomatic cases (last column in the table below), but it’s hard to know for sure.  What is more certain is that their death per million citizens is also the highest, at 213 per million. 

CountryInfections
/million
InfectionsDeathsCurrent MortalityEstimated MortalityDeaths
/million
Tests
/million
Sweden       1,742    17,567   2,15212.3%16.3%       213   9,357
Denmark       1,419      8,210       4034.9%5.7%         70 21,638
Norway       1,360      7,361       1912.6%2.8%         35 28,614
Finland          793      4,395       1774.0%5.5%         32 13,446

The table also shows that Sweden’s infection rate as measured per million population is the highest and its death per million is also the highest.  Given that it has the poorest testing of the three Scandinavian countries, it is possible that its infection rate is even higher.  Of course, the Swedes don’t care about this because their aim is to get to “herd immunity.”  In fact, the country claims that their infection rate is much higher than that measured and will soon get them to “herd immunity” — generally acknowledged to require 60% of the population to be infected — in Stockholm in a few weeks and the rest of the country soon thereafter.  Having measured so poorly, I am not sure how they know this except with their own proprietary models.  In our estimate, they are picking up about 20% of all real cases so their real infection rate is 0.86% (far from the 60% required for herd immunity) and their real mortality rate is 3.3%.

The tragedy is that it didn’t have to turn out this way.  Sweden now has about 2000 more deaths than its neighbor Norway.  They both started out with mild infections in late February and Norway kept its infection and death counts controlled.  On the graph below, Sweden’s death count (brown squares) is plotted against the left axis and Norway’s (blued diamonds) is plotted against the right axis adjusted for Norway’s smaller total population.  The differences in the graphs are striking and widening. 

Sweden should serve as a cautionary tale for the eight states in the US that have not imposed statewide lockdowns.  They could wind up looking like Sweden rather than Norway. 

How Infected is New York City Metropolitan Area?

New York City (NYC) metro area has been one of the hardest-hit areas in the world during the COVID-19 pandemic.  Whether defined as the Metropolitan Statistical Area (MSA) with 20.3 million, or the broader Combined Statistical Area (CSA) with 23.7 million it has the largest population in the United States and the activities of residents are closely intertwined.  All 31 counties in the CSA have been heavily infected by the coronavirus.  By itself, this CSA would be the most heavily infected country in the world with the heaviest death toll. 

CountyInfections
% pop
Infections
Count
Deaths
Count
Mortality
Rate
Mortality
% pop
Bronx2.28%32,7113,28710.0%0.23%
Brooklyn1.51%38,964  4,73012.1%0.18%
Manhattan1.13%18,3832,03911.1%0.13%
Queens1.98%45,0244,54410.1%0.20%
Staten Island2.25%10,722    7697.2%0.16%
Westchester2.61%25,276    8383.3%0.09%
Rockland3.00% 9,699    4014.1%0.12%
Nassau2.33%31,555 1,4314.5%0.11%
Suffolk1.98%29,476  9263.1%0.06%
Orange1.86%7,151     2433.4%0.06%
Bergen1.47%13,686      8766.4%0.09%
Hudson1.79%12,039      5684.7%0.08%
Essex1.43%11,387    8887.8%0.11%
Union1.88%10,484      4814.6%0.09%
Passaic1.80%9,392 3273.5%0.06%
Middlesex1.10%9,047 3694.1%0.04%
Fairfield1.05%9,883   5845.9%0.06%
TOTAL1.79%324,87923,3017.2%0.13%

We look at 17 of these counties with the closest commuting distance to Penn Station in Manhattan, summarized in the table above.  These counties have a total population of 18.1 million and comprise 77% of the CSA.  Every day, millions of commuters enter NYC (including The Bronx, Brooklyn, Manhattan, Queens, and Staten Island) for 4.2 million jobs, and then many return to their homes in the NY-NJ-CT-PA area.  Any disease they pick up in NYC quickly and easily spread into the neighboring counties. This has made the entire region the hottest in the world with 1.79% of the population in the17 counties confirmed infected and 0.13% of their population killed by COVID-19.  These numbers are 3 to 4 times worse than for next hardest-hit countries. 

How did metro NYC get this bad?  One reason is the lack of a coordinated regional or national policy and program to deal with the pandemic in the complex multi-state CSA.  The other is the late start to quick, accurate, and comprehensive testing.  Some epidemiological models suggest that on March 1 when the first confirmed COVID-19 case was found in NYC, as many as 10,000 cases had already spread in the region since late January.  Of course, testing has improved several hundred-fold since March and the number of hidden cases is no longer 10,000 times the number of confirmed cases.  However, several antibody test programs suggest that the hidden population may still be 30 to 50 times larger than the confirmed population in areas like Santa Clara County and Los Angeles County.  Were this true in NYC it would imply that NYC has already achieved herd immunity which it obviously has not as evidenced by the several thousand new cases reported very day.  A more recent antibody detection test conducted in NYC found that 21% of the population may be infected already.  We believe that this, too, is an over-estimate due to very high false positives from the test

Our estimate, based on current COVID-19 testing efficiency (43% of tests return positive results) and testing completeness (2.9% of the population tested) in the CSA is that testing is uncovering about 85% of all the serious cases and 30% of all the infected cases in the region.  The vast majority of the hidden population comprises asymptomatic or mildly symptomatic cases that currently do not qualify for testing due to limited availability.  This means that 6% (=1.79%*3.3) of the 17-county metro-NYC area could already be infected and that herd immunity (generally believed to require 60% of the population) could be achieved before August or sooner if regional lockdowns were relaxed or lifted.  The good news is that as of April 22, testing has doubled from last week’s average to over 300,000 per day, although many pockets of shortages remain and it remains to be seen whether this pace is sustainable.  In addition, the mortality rate is probably not as bad the 10.5% measured for NYC (including all probable cases as currently recommended by the CDC), but possibly just 5% when all COVID-19 cases are counted.  This would nevertheless translate to 25,000 deaths in NYC and 45,000 deaths for the NYC CSA by July 1.

One lesson to be learned is that early, strong, and coordinated action by the regional and national government is required to minimize the pandemic toll.  Early and comprehensive testing and tracking, and treatment is an essential part of that government response.  Another lesson from metro-NYC is that without a lockdown, the testing and health care systems would have been overwhelmed.  As it turned out, peak hospitalizations surpassed capacity for many days in NY, and on some days testing returned near 70% positive results in NJ.  That meant that they were testing near-certain cases (actually the wrong thing to do with limited testing capacity) and missing many serious cases.  The eight states who refused to impose state-wide lockdowns would do well to learn from NYC’s and other states’ examples.

How to Manage COVID-19 Risk Factors with Oximeters

The novel coronavirus (SARS-CoV-2) attacks the human body primarily through the airways and the lungs.  Classic symptoms of COVID-19, the disease caused by the coronavirus, are fever, cough, and shortness of breath.  But for many — perhaps as many as half of those infected — there are few if any symptoms.  People who suspect they have been infected are asked to shelter in place and to check their temperatures every day.  But for those who do not develop a fever or obvious shortness of breath or cannot get a COVID-19 test due to shortages, they may ignore their problems for many days while the disease silently ravages their lungs.  A better diagnostic tool than a thermometer could be an oximeter that is widely available and not much more expensive than a thermometer and much more accessible than a COVID-19 test.  Oxygen saturation levels below 88% were found to be the most useful marker of critical illness in NY hospital admissions. 

We now know that COVID-19 mortality is strongly associated with age, gender, and comorbidities such as obesity.  Obesity (BMI>40) and heart failure were the next most important indicators after age.  What is it about obesity that makes COVID-19 so much more deadly while other more suspicious conditions such as asthma do not seem to?  We suggest that another medical condition that is associated with obesity but sometimes ignored may be more predictive of hospitalization and mortality: obstructive sleep apnea (OSA).  OSA is known to be associated with age, gender, and obesity.  Older men who are obese are more likely to have sleep apnea than any other combination of demographic factors.  While OSA has been clinically diagnosed in only 4% of American males and 2% of American females, it is suspected to afflict nearly 10% of the US population in milder/ undiagnosed forms.  One additional demographics factor that has emerged recently is race: African Americans (AA) are more likely to die from COVID-19 than Whites.  Many socioeconomic factors such as poorer access to health care in general and testing, in particular, have been suggested, but one factor that has not is OSA.  It turns out that OSA prevalence among AA may be as high as 24% — much higher than the 5% formerly diagnosed.

Sleep apnea is a breathing disorder that may be greatly exacerbated by COVID-19 leading to respiratory distress and possibly failure.  Moreover, we think that persons with sleep apnea may have learned to adapt to mild oxygen deprivation and so that they may not notice a change in their breathing pattern until the coronavirus has caused severe damage to the lungs — leading to hospitalization and eventual death.  Sleep apnea patients on CPAP (Continuous Positive Airway Pressure) and BiPAP (Bilevel Positive Airway Pressure) machines may actually feel no change because small initial damage can be easily compensated by the machines at night, and more rapid breathing during the day.  However, the use of these machines can cause the disease to spread more rapidly because CPAPs, unlike true ventilators, blow contaminated air into the room that may circulate into the building causing widespread infections in apartment buildings, nursing homes, veteran homes, prisons, etc.

It is important to test this hypothesis immediately, but equally important to have the CDC recommend the use of oximeters to detect and monitor potential victims of COVID-19.  As soon as they are identified, they should be tested, isolated, and treated to reduce the risk of infection to others.

COVID-19 Infection and Mortality Rates as a Function of Age and Gender

With over 2.4 million COVID-19 cases and over 160,000 deaths globally, there is a lot of data that can be analyzed to better understand this virus as a function of age, co-morbidities, medical history (such as prior exposure to coronaviruses like SARS, and other vaccines like BCG), etc.  The two important factors that have been noted since the early days of this pandemic are age and gender and they continue to be the most important factors.  We look at the age and gender dependencies with the best single data set provided by the Spanish Health Department containing over 200,000 cases (or 0.4% of the total population) and over 20,000 deaths.  Spain has tested over 2.0% of its population which while short of a comprehensive sample does begin to give us some ideas about how the disease has affected the entire country. 

We look at the probability of a random person acquiring the disease as a function of age.  We know that this sample is not truly random nor comprehensive but it does give an intriguing result that should be examined further.  The figure below shows that an 80+ years old person has about 100 times the likelihood of getting infected compared to a person under 10 yrs old (the left axis measures percent of the population a certain age group has been infected with 0.4% of the population as a whole).  Some of this large difference may result from the fact that an 80+ years old person has a higher probability of getting approved for a test than a young person.  But if there is a real effect, it is all the more important that we perform random testing of a large sample of people to find the true infection rate by age.  The infection rate varies very little by gender.  Slightly more women than men get the disease, 53.6%, but Spain is 51.0% female.  

Another interesting question to ask is how and why the mortality for this disease varies so significantly by age and gender.  For regular seasonal flu, there is a modest mortality differential by age with older people more likely to die from it than younger people.  However, with COVID-19 someone older than 80+ has nearly 100 times the chance of dying than someone younger than 30 yrs old (see figure below where the mortality rate as a percentage is shown on the left axis).  One important note is that this age variation is continuous and not a step function as some people commonly assume.  Between 35 and 75 the mortality risk doubles for every 7 years increase in age.  There is no cliff at 65+ where your risk increases all of a sudden — the risk increases continuously for both men and women above the age of 35.  The graph does show that men (dashed grey line) are at a higher risk of dying from this disease than women (dotted red line), by about a factor of 2 for all ages from 35–75, with the gap widest at 2.6x in the 50–59 age group.   

The same mortality versus age trend was observed in Italy (shown as the solid blue line in the figure above).  Italian mortality was generally 20% higher than for Spanish most likely due to the fact that the sample taken as of March 30 was biased toward 1.25 times more males than females.  (However, the underlying population split was the same 51% female to total as Spain so it is unclear why Italian men are more likely to get infected than Spanish men vs women — probably a large sampling bias.)  The same mortality versus age and gender relationships were also observed in China.  So this age and gender effect seems to apply to this pandemic globally.

If both infection rate and mortality rate are strongly biased against the elderly it means that an 80+ years old man has 10,000 times higher chance of dying from COVID-19 than a kid — an astonishing disparity.

Some States Are Planning to Reopen in May

Governor Mike DeWine announced on April 16th that he wants to re-open Ohio (OH) for business on May 1st, but it looks dangerous.  May 1st would make OH the first state to re-open, while other states such as New York (NY) and Pennsylvania (PA) just extended their lockdowns to May 15th.  He says he will do so cautiously in phases which is the right approach but the latest upsurge in newly confirmed cases should cause him to re-think his strategy.  The OH governor has received praise for his early recognition and response to the pandemic, but his initial response was tepid and he only imposed a strong lockdown and stay-at-home policy four days after CA on Mar 23rd when his state was about 1.5 (±0.1) times more infected than California (CA).  By then OH had 38 cases per million population whereas CA had 25 cases per million four days earlier (of course both states are much better than NY). 

Until recently OH had followed an infection record as controlled as CA (see figure below where the left axis for CA and right axis for OH have been adjusted for their differing populations; the horizontal axis tracks real-time for CA and has been shifted back 4 days for OH’s delayed start).  However, over the last two days, OH has experienced a renewed surge.  OH did update its definition for COVID-19 on April 8th to include probable cases, but that should not have produced an upsurge on April 15th unless there was a delay in implementation.  Another reason may be OH has lots of infected neighbors.   

If any state can re-open early it is CA because it was the first state to lockdown and its major cities and metropolitan statistical areas (MSAs) are self-contained — with the Rockies and the Pacific serving as very effective shields for the state.  However, Governor Newsom has said that he may extend the CA lockdown into June or at least until he can get more thorough testing.  OH is in a much tougher position to control its pandemic or re-open by itself.  It is part of two large MSAs: one in Cincinnati with Kentucky and Indiana and the other with Pittsburgh in PA.  OH also borders West Virginia, and heavily infected Michigan.  This means that Governor DeWine should not re-open without close coordination with all these 5 states.  If he re-opens earlier than his neighbors he can infect his neighboring states.  Complex MSAs like NYC and Cincinnati should have been managed as a unit with full cooperation between federal, state and local governments.  This is why the lack of Federal government coordination in testing and lockdown has had such as a disastrous impact on the US war against COVID-19.

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