A paper that simulates COVID-19 in a University

The paper “Simulating COVID-19 in a University Environment“, written by Philip T. Gressman and Jennifer R. Peck appeared in ArXiv on June 5, 2020. It contains a stochastic agent-based model that simulates the likely progress of COVID-19 disease transmission in a fictional U.S. University with 20,000 students and 2,500 faculty members that opens for a semester of 100 days in a world with certain (unknown) members of the general population infected with the disease. It also includes an analytical model that supports the main conclusions drawn from the simulations. It complements the paper “The small world network of college classes: Implications for epidemic spread on a university campus” by K. A. Weeden and B. Cornwell.

How to open a University campus relatively safely and conduct instruction with minimal numbers of infection and the maximal possible effectiveness of instruction is keeping University and College administrators up at night, not to mention faculty members like myself, who dread the possibility of being forced to teach in a classroom at a risk to their health they deem too high. Papers like the Gressman and Peck paper are valuable contributions to administrators’ decision-making and I hope they are taken seriously by them.

The main conclusions of the paper can be summarized simply. I do so now and I discuss the assumptions of the paper at the end of this blog post. The two outcomes the simulations focus on to evaluate the effectiveness of various infection control measures are (1) the total number of infections and (2) peak quarantine population.

Disclaimer: I read with reasonable care the main body of the paper and glanced at the part of the appendix where the results of robustness testing are reported. I did not read the analytical model presented at the end of the appendix, Section 5.3.

Main conclusions of the simulations:

  • The rate that testing for COVID-19 yields false positive results is unexpectedly and massively important for the results. This is in the context of the regime that several Universities (including mine) have announced for Fall 2020, where there would be extensive testing of community members and tracing and isolation of contacts that test positive. Such tracing would likely result in quarantining 10 to 20 students for every student who tests positive, which imposes a high cost in terms of the number quarantined.
  • An almost certain way to guarantee widespread infection is to allow classes larger than 120 students to meet face to face. As part of the main intervention the authors consider, classes with over 30 students would meet online only.
  • It matters a lot that students refrain from “all contact outside of academic and residential settings” (page 2).
  • Instructors have to prepare for online delivery of instruction to quarantined students, expecting at least 10% of students in any class to be quarantined on a given week. The experience of these students would not be the same as those attending class in person.

I found the paper convincing and its conclusions credible. I do want to emphasize some limitations of the analysis of the paper stemming from its assumptions. These are mostly made clear by the authors but do tend to push in the direction of making the conclusions overoptimistic. I offer these critical comments as a caution for readers, especially should they be University administrators, and not in order to diminish the contribution of the authors; obviously, all analyses have their limitations.

  • The first limitation is prominent in my own calculations for my personal safety: exposure to infection from using public transportation to commute to campus is not considered in the paper. Numerous faculty and students can be expected to use public transportation and import infections to campus in this way.
  • Compliance of individuals with regulations is assumed throughout. What are the chances individuals aged 18 to 22, to speak of the traditional age students who are still a large proportion of most campuses, will act responsibly outside of class and dorm, not going to multiple parties without any physical distancing in place? It is one thing to require mask-wearing in the classroom and another thing to expect mature behavior outside the campus setting by young people who also realize that their personal risks for a serious and possible fatal infection are small.

I could offer more minor nitpicking comments on the assumptions of the analysis, but I am stopping here, after having listed my main thoughts about the limitations of the paper. I view it as a very good and interesting paper and I look forward to additional simulations along the lines of those it offers that expand the reach of the model with assumptions amended along the lines I outlined in my critique.

The Economics Nobel lectures

When we sat down for breakfast, I opened my iPad on Facebook, as usual at this time of day. I saw a notification from the Nobel Foundation that the Nobel lectures on economics were about to be streamed live. I had forgotten, in the hectic days of winding down the semester, to check for the schedule and I feel extremely lucky I got to watch these lectures by accident.

There was an unfortunate glitch with the audio which forced the stream to be stopped and restarted. As a result, I only got to watch properly the second half or so of the lecture by William Nordhaus, but the streaming of the lecture by Paul Romer went ahead after that without problems.

Both laureates gave great talks, I thought. Of course, I am biased in favor of Romer, as a former student of his. The same ability to explain deep, complicated mathematics that he displayed when I was taking his first-year mathematics-for-economists PhD course in Rochester in 1984 was evident in his engaging Nobel lecture. I particularly liked his one (and only!) slide beyond his cover slide, showing students in Africa reading their textbooks on the side of a highway near the local airport, because there were streetlights there, making it possible to study at night, while their houses had no such luxury

Romer went on to explain in very simple terms the way ideas and their sharing and combinations have made it possible for humans to make progress in material, as well as moral, terms. I was heartened by his talk about how technological progress has expanded the circle of people (and now other sentient beings) that many humans consider US rather than THEM.

Not a small contribution to human progress in both material and moral terms from Paur Romer, an undergraduate physics major who went on to get his PhD and launch his career by doing work that could have easily been considered too arcane, were it not for his commitment to share his ideas in the clearest possible terms for others to use and combine them for yet more ideas to help humans live better.

News organizations provide positive externalities, but we stand to lose them

Adblockers. They’re all the rage in discussions about the future of news organizations. This post on Medium by Dave Pell is one more restatement of the positive externalities generated by news organizations. While it is eloquent, it has no suggestion of how to deal with the problem. That’s because the problem of externalities is a genuinely hard one for our market-based economic organization (and way of thinking). Activities that generate positive externalities (and by extension public goods) are constantly under-provided and are likely to continue to be under-provided for the foreseeable future.