Sooner or later, mild or severe

Suppose that I could visit a fortune teller and get an answer to two questions.

Will I get the virus sooner, or will I get it later?

Will my case be mild, or will it be severe?

Here is how I would react to each of these possibilities:

Sooner Later
Mild Happiest Almost as happy
Severe Most unhappy Quite unhappy

I am assuming that if I get a mild case, then this will have no adverse long-term effects and that I will be immune going forward. These assumptions may not be 100 percent correct, but as long as they are most likely true I would stick to these rankings.

If you agree with me so far, then we have a framework for understanding the thinking of Johan Giesecke of Sweden. Many thanks to commenter John Alcorn for the pointer.

1. Lockdown policy was originally sold as a way of moving from left to right, that is from sooner to later. That is what was meant by “flattening the curve.” If I am going to get a severe case, then the lockdown makes me slightly better off. If I am going to get a mild case, it actually makes me slightly worse off, because I would rather get immunity sooner than later.

2. What I most care about is not getting a severe case. If I am going to get a severe case, then I would rather get it later, because I hope that by that point there is better treatment available.

All of the criteria that policy makers are using to decide on “re-opening,” whether they are models or trends in data, say something about sooner or later, which I hardly care about. They say nothing about mild or severe, which is what I most care about. When they use the terms “scientific” or “data-driven” to describe their thought process, I call Baloney Sandwich. Their science and their data don’t address the important issue.

Most of what we know about mild vs. severe concerns demographic categories. For example, very old people are particularly likely to get severe cases. We want to keep the virus out of nursing homes.

For young people, the risk of getting a severe case is not zero. But should they be treating the risk as more significant, say, than the risk of driving on the highway? Of course, everyone is in the dark because of the Unknown Denominator. Even if we know how many young people have died, we have no good estimate of how many young people have had the virus.

The most important question is what we can do to make it more likely to get a mild case than a severe case. If our health experts wanted to actually be useful, they would undertake to give us guidance on that. We could start by undertaking studies designed to pin down the Unknown Denominator. It would be most helpful to pin it down by demographic group, so that we could know something about the risk that each of us faces with respect to getting a severe case. Beyond that, perhaps government could conduct studies of clusters of people who have gotten severe illness to understand how they contracted the disease.

Some of us believe a hypothesis that viral load matters for mild vs. severe. If that is correct, then individuals can make better choices by avoiding spending a lot of time in enclosed spaces near other people. Also, they can help themselves by wearing masks, and they can help others by wearing masks whenever they are in public places. So subsidies for masks and laws requiring face covering in public places could be appropriate.

I wish that as a society we could switch emphasis away from the sooner or later axis. The emphasis on sooner or later gives inordinate power to government officials and the public health “experts” to control out lives, without ever getting at what matters.

A coder and some barbers

Russ Roberts talks with Ed Leamer about inequality, among other things. It’s a great conversation. One of my favorite parts is when they mull on a possible scenario in which 1 person is a coder and 99 people are barbers. It simply is not possible to re-train the barbers to be productive as coders. Supply and demand being what they are, the coder makes a lot more money than the barbers.

Another determinant of inequality is that the barber’s capital equipment–the electric shaver and the chair–can only serve one customer at a time. The coder’s capital equipment–the server and the Internet connection–can reach the whole world. I think in the talk they use the metaphor of the forklift vs. the microphone.

Highly recommended, although not on the topics that I thought earned Leamer the Nobel Prize.

3DDRR update, with some state breakouts

Overall down to 1.21 and excluding New York down to 1.23 Good news or weekend reporting lull?

Some states with low 3DDRRs today: New York 1.18, Louisiana 1.15, and Colorado 1.19
Some states with high 3DDRRs today: California 1.31, New Jersey 1.29

California, which had a lockdown order early, had a relatively low early-April 3DDRR, staying well below 2. The other states had higher 3DDRRs in early April. If in a week New Jersey is 10 basis points below California and the other states are 20 basis points below, I could claim some indication for the heavy in, heavy out model.

The economic outlook

We need a lot of capitalism to get through this crisis. We need to redeploy people out of failing sectors and into new growth areas. The signals provided by the profit and loss system play a vital role in this process of regeneration and renewal. Those signals will guide us to discover new patterns of sustainable specialization and trade. Continue reading

Probability and action

Scott Alexander writes,

Nate Silver said there was a 29% chance Trump would win. Most people interpreted that as “Trump probably won’t win” and got shocked when he did. What was the percent attached to your “coronavirus probably won’t be a disaster” prediction? Was it also 29%? 20%? 10%? Are you sure you want to go lower than 10%? Wuhan was already under total lockdown, they didn’t even have space to bury all the bodies, and you’re saying that there was less than 10% odds that it would be a problem anywhere else? I hear people say there’s a 12 – 15% chance that future civilizations will resurrect your frozen brain, surely the risk of coronavirus was higher than that?

And if the risk was 10%, shouldn’t that have been the headline. “TEN PERCENT CHANCE THAT THERE IS ABOUT TO BE A PANDEMIC THAT DEVASTATES THE GLOBAL ECONOMY, KILLS HUNDREDS OF THOUSANDS OF PEOPLE, AND PREVENTS YOU FROM LEAVING YOUR HOUSE FOR MONTHS”? Isn’t that a better headline than Coronavirus panic sells as alarmist information spreads on social media? But that’s the headline you could have written if your odds were ten percent!

My cynical view is that the typical reader of the NYT or the WaPo does not notice the lack of consistency between how they treated the virus in February and how they treat it now. They consistently viewed President Trump as wrong, and that is the consistency that their readers care about.

But forget the complaints about media. This is a much bigger issue with human nature. Scott’s basic point is that people tend to treat low-probability events as if they could not possibly occur. Scott points out that the anti-Trump media were far from the only virus denialists back in February. The stock market also behaved like a virus denialist.

Somehow, we seem to be hardwired to think in binary terms–either we believe something will happen or we believe it won’t happen. Notice that we have understood formal binary logic since Aristotle but according to many accounts, formal probability theory waits for Pascal in the 1600s.

You may notice that when I illustrate probability on this blog, I try to avoid using decimals. Instead, I say “out of 10,000 people. . .” That is because I noticed when teaching high school students that they grasped probability much more quickly if the examples used whole numbers.

Most people are concrete thinkers. For a concrete thinker, an object is either there or it isn’t there. Probabilistic reasoning is abstract, and that makes it harder.

Santa Clara vs. the 3DDRR

Balaji Srinivasan gave what I call a micro critique of the Santa Clara study. I am going to provide a macro critique, and in the process I will articulate the significance of the 3DDRR, the ratio of cumulative deaths in a given day to the cumulative deaths as of three days earlier.

Suppose that we have 10 deaths in a population of 20,000. How deadly is the virus, and how widely has it spread? We face the problem of the Unknown Denominator. If 100 people have had the virus,then the death rate is 10 percent, and it has not spread widely (yet). If 1000 people have it, then the death rate is 1 percent, and it has spread modestly. If 10,000 people have had the virus, then the death rate is 0.1 percent, and it has already spread so far that it will not spread much farther.

The Santa Clara study suggests a high spread rate and a low death rate. The authors report their results as indicating that at least 50 times as many people have had the virus as have been reported positive in tests conducted by County medical officials. This suggests that in calculating the true fatality rate for the virus, we should divide the reported case fatality rate by 50, giving a result of something like 1 in a thousand, or 0.1 percent. With 35,000 deaths in the United States, that would imply that 35 million people have had the virus.

Commenters on this blog have pointed to studies in other countries that seem to give similar results. But there are other studies in various parts of the United States and in other countries that suggest that far less than 10 percent of the population has had the virus.

Srinivasan argues that the Santa Clara results are likely distorted by a test that can produce a high number of false positive results when applied to a population that is mostly negative for the virus, that the study sample probably includes a high proportion of positive individuals relative to the population, and that the implied high spread rate exceeds that of similar past epidemics.

My own skepticism comes from the dynamic of the disease as we have observed so far. My intuition comes from my family’s annual vacations on the Delaware seashore.

I am one of those people who is mesmerized by ocean waves coming ashore. I can stand for long periods at a spot where some of the waves wash over my feet and others stop just short of reaching me. I like to guess which waves will get to me, and which waves won’t.

One phenomenon I noticed I call heavy in, heavy out. When a heavy wave comes in over my ankles, the next wave gets diminished. This is because the heavy wave recedes quickly, and in the process it pushes back against the subsequent wave.

My intuition is that the spread of the virus would operate the same way. If it spreads really rapidly, it will also recede rapidly. Because the virus will have a hard time finding new targets, we will see heavy in, heavy out.

It was to spot a heavy in, heavy out pattern that I chose to track the 3DDRR. I decided that reported cases were too much affected by ever-changing testing criteria to be useful in identifying trends in the wave. Although deaths are a lagging indicator, I decided that they would work better for providing a more reliable picture of how quickly the wave was receding.

So far, the wave is receding slowly. Because it is receding slowly, I infer that we are not experiencing heavy in, heavy out. Therefore, I doubt that the virus has a miniscule death rate and a spectacularly high spread rate.

Of course, my thinking could be wrong. As more studies come in, if they are consistent with the Santa Clara study, my estimates of the death rate and the spread rate will move in the direction of the Santa Clara study. But from the macro perspective of the 3DDRR, I am skeptical.

How much social distancing is justified by science?

A meta-analysis says,

Clusters of cases have also been reported following family, work, or social gatherings where close, personal contact can occur [40,41]. As an example, epidemiologic analysis of a cluster of cases in the state of Illinois showed probable transmission through two family gatherings at which communal food was consumed, embraces were shared, and extended face-to-face conversations were exchanged with symptomatic individuals who were later confirmed to have COVID-19 [40].

The risk of transmission with more indirect contact (eg, passing someone with infection on the street, handling items that were previously handled by someone with infection) is not well established and is likely low.

Pointer from a commenter.*

This is not the final word, but suppose that it is confirmed by solid experimental evidence. In that case, maybe the science will say that for most of us, all the social distancing we need is to adopt the custom of bowing when we greet relatives, friends, and associates, rather than shaking hands or hugging or cheek-kissing. The science may say that it also is safer not to live in a nursing home, ride a subway, or spend a lot of time in an enclosed room with a person who might be sick, especially if they are coughing or singing. But the “6 foot rule” and frequent hand-washing and staying at home except for essential outings might turn out to be Bubbameise, a Yiddish expression that roughly translates as your grandmother’s superstition. Masks also could be Bubbameise, but without causing much disruption.

*I have been complemented on the high signal/noise ratio in the comments section on this blog. .

3DDRR update, April 17

The overall rate is 1.26, and outside of New York it is 1.32

Look at Aaron Lindsey’s spreadsheet. The 3DDRR starts to turn down around March 27. The steepest drop is during the first week of April. Since then, the decline has been agonizingly slow.

If you assume that the trend in deaths lags the trend in infections by about three weeks, this says that we started to turn the corner on infections at the end of the first week in March, which I think is before most people were changing behavior (am I right about that?). Then the steepest drop in infections took place between about March 10 and March 17, when people were changing behavior but no lockdowns were in place. Since then, the infection rate as declined further, but more slowly.

General update, April 17

1. Commenter John Alcorn watched the entire Swedish health minister video. John points out that the Swedish experiment definitely differs from ours in that they kept schools open. Some more of John’s take-aways.

School closures would de facto pull 20% of medical personnel away from hospitals because parents (including medical personnel) would have to stay home with children.

Sweden is halfway thru major wave of pandemic. Now seeing slowdown of contagion in Stockholm. One third of populace “has been involved” (exposed?). Summer probably will diminish contagion. But this virus, unlike SARS and MERS, won’t go away. Key will be to achieve original goal of shield or isolating the vulnerable (esp. those in elder care) much more effectively.

Skeptical of face masks (except in hospitals and nursing homes) because they tempt people who are symptomatic to go out with a mask instead of properly staying at home.

conditional on infection, death risk isn’t much greater than the flu if the individual receives timely care.

So they are approaching it as just a rapid-spreading flu that you want to keep out of nursing homes. Maybe Swedes are healthier then we are. Physically–less obese? Or mentally–less easily frightened?

And what does the health minister make of the disparity in incidence between their immigrant population and natives?

2. While trying to understand how New York’s delayed reporting of 4000 deaths is affecting things, I came across the NY health department page. I had to go to my browser settings and shrink the type to be able to see it all, but it has some interesting information. The co-morbidities that matter the most seem to me to be generally associated with obesity. I wonder if this puts me in a low-risk category, in spite of my age. It depends a lot on the Unknown Denominator, which is how many people are infected. The higher that number, and the lower the number of deaths of people my age with my BMI, the better off I am.

Poking around the site further, I found data on deaths among nursing home residents in NY state. Does anybody know how to prevent outbreaks in nursing homes? What do the Asian countries do about it?

3. German virologist Hendrick Streeck claims to have debunked the doorknob effect.

“There is no significant risk of catching the disease when you go shopping. Severe outbreaks of the infection were always a result of people being closer together over a longer period of time, for example the après- ski parties in Ischgl, Austria.” He could also not find any evidence of ‘living’ viruses on surfaces. “When we took samples from door handles, phones or toilets it has not been possible to cultivate the virus in the laboratory on the basis of these swabs….”

“To actually ‘get’ the virus it would be necessary that someone coughs into their hand, immediately touches a door knob and then straight after that another person grasps the handle and goes on to touches their face.” Streeck therefore believes that there is little chance of transmission through contact with so-called contaminated surfaces.

He bases his view on the result of a “case cluster study.” I gather that the idea is to try to determine how the people with the virus in a particular region contracted the virus. If there are no doorknob cases in a sample of one thousand people, then you are inclined to downplay doorknob effects.

4. What will be the long-term economic effects of the virus crisis? I am going to try to put my thoughts together this weekend. Meanwhile, Joel Kotkin writes,

Growing corporate concentration in the technology sector, both in the United States and Europe, will enhance the power of these companies to dominate commerce and information flows. As we stare at our screens, we are evermore subject to manipulation by a handful of “platforms” that increasingly control the means of communication. Zoom, whose daily traffic has boomed 535% over the past month, has been caught sharing data from its users with its clients widely, and without approval. Not surprisingly these platforms are most widely deployed in tech centers like the Bay Area, Seattle, and Salt Lake City as opposed to areas like Las Vegas , Tucson, or Miami where more jobs require close physical proximity.

The modern-day clerisy consisting of academics, media, scientists, nonprofit activists, and other members of the country’s credentialed bureaucracy also stand to benefit from the pandemic.

Off hand, I don’t agree with the second paragraph. I think that there is now an “essential/non-essential” divide, and a lot of the clerisy fall on the wrong side of it. But I am still pondering.

5. The story about the findings of lots of asymptomatic carriers at a Boston homeless shelter is being framed as scary news about the way the virus gets transmitted. Personally, I would have headlined the story “Homeless people show the way in developing herd immunity.”

6. Eran Bendavid and many co-authors write

These prevalence estimates represent a range between 48,000 and 81,000 people infected in Santa Clara County by early April, 50-85-fold more than the number of confirmed cases.

Wow. Pointer from Tyler Cowen.

If you believe that this is true, and that it holds for the country as a whole, the implications are staggering. As of today in the United States, we are at about 700,000 confirmed cases. Multiply that by a number between 50 and 85. That would make the infection fatality rate 1 in a thousand, as opposed to the expert estimate of between 10 and 20 in a thousand. It also would say that voluntary social distancing and government-imposed lockdowns came too late to stop the spread of the virus, for better or worse (probably for worse–if the death rate is so low, we should have just let it keep spreading). It would make it seem probable that the virus was in the U.S. much sooner than we now believe.

That is too much revisionism for me to adopt, based on just the one study. But I am encouraged by an apparent trend toward more studies and more pushback against relying on computer simulations.

[UPDATE: Balaji S. Srinivasan pours some cold water on the study.]