IA idea · Health, biology & medicine

How fast did COVID-19 spread at the start? Comparing doubling times

AA SLAA HLAI SLAI HL Solid Also in: Modelling, Differential equations

Research question

What were the doubling times of confirmed COVID-19 cases in the first 30 days after the 100th case in [several countries], and how did they change after lockdown measures?

Adapt it: change the place, the data or the comparison until the question is yours.

Why it makes a good exploration

In spring 2020 the world learned about exponential growth the hard way. Fitting exponential models to the early data, and measuring how quickly growth slowed, is a powerful, well-sourced IA.

The mathematics you'll need

  • Exponential models and doubling time
  • Log-linear regression
  • Piecewise models before and after an intervention
  • Comparing rates between countries

Course labels show where a technique sits; using maths from outside your course is fine if you explain it clearly and say it is new to you.

Where the data comes from

Daily cumulative cases from the archived Johns Hopkins repository or Our World in Data.

Cite every source in a footnote where you use it and in your bibliography. Check the licence of any dataset you download.

A possible outline

  1. Align countries by the day of the 100th case.
  2. Fit exponential models to early data.
  3. Compute doubling times.
  4. Fit before/after intervention periods.
  5. Reflect on testing rates and reporting delays.

Pitfalls that cost marks

  • Treating confirmed cases as infections.
  • Choosing intervention dates after seeing the data.
  • Ignoring weekend reporting dips.

Showing personal engagement

  • Include your own country and explain its timeline.
  • Compare with deaths, which are less affected by testing.
  • Explain doubling time to a younger student.

See Criterion C: personal engagement for what examiners look for.

Taking it further

Fit a logistic model and compare its predicted final size with what happened.

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