(Bloomberg Opinion) -- Watching the U.S. Covid-19 data every day, as I tend to do, has been a grim ritual. In my neighborhood, in the places where my friends and family live and across the nation, the cases, hospitalizations and deaths just keep getting worse. So when will there be some relief?

I’m betting on Valentine’s Day.

First the bad news. As happened around Thanksgiving, the Christmas holiday has brought a lull in the reporting of cases and deaths (as opposed to hospitalizations, which have steadily increased). So expect a surge of bad news this week and beyond. Assuming more than 200,000 new cases per day, and a mortality rate of 1.5% (an encouraging improvement over the 2% of a few months ago(1)), an average of 3,000 people should die every day over the next month or so, with bad days getting closer to 4,000 deaths.

Now for the good news. People are getting vaccinated, and pretty soon their numbers will be significant enough to have a positive effect on the big picture.

Although it’s hard to know exactly how vaccination will proceed, it’s reasonable to guess that the number of inoculated people will increase more or less steadily until it reaches about two thirds of the population, or 200 million, at the end of July. As the number rises, it’s likely to have a greater-than-linear effect on cases and deaths, for a couple reasons.

First, consider how the virus proliferates: Cases grow exponentially, as each new victim infects more than one other. But if inoculated people can’t transmit the virus, the exponential growth will get turned around, as both the base of the exponent (the transmission rate) and the number of infected decline. 

Second, the people at greatest risk of dying are getting vaccinated first. So the mortality rate — the number of deaths per case — will also decline, leading to a faster-than-linear decrease in deaths.

Given these trends, the numbers should start going down by mid-February — first cases, then hospitalizations, then deaths. By early June they should be very small. And assuming the vaccine works for at least 7 months, the numbers should stay down until the end of the year, by which time pharmaceutical companies should have a newer vaccine covering whatever mutations will have occurred.

As usual, there are caveats. Vaccine distribution could hit snags. People could refuse the shots (although the news here is looking pretty good), or be denied access. Vaccines could prove less effective than tests suggested. Inoculated people could prove able to transmit the virus. A mutation in the virus could boost the transmission rate. People could drop their guard too early.

All that said, I’m hopeful that my morning ritual will soon become a lot less dreadful.

(1) Daily deaths are now running at about 2,700, and daily confirmed cases were about 175,000 a month ago. Assuming the typical death comes about a month after diagnosis, that’s a mortality rate of about 1.5%.

This column does not necessarily reflect the opinion of the editorial board or Bloomberg LP and its owners.

Cathy O’Neil is a Bloomberg Opinion columnist. She is a mathematician who has worked as a professor, hedge-fund analyst and data scientist. She founded ORCAA, an algorithmic auditing company, and is the author of “Weapons of Math Destruction.”

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