>And of course we probably also need to take into account factors such as size of population and population density of region (i.e. assuming all other factors being the same, it's natural to expect to have higher number of infections and deaths in more highly-populated areas than less-populated areas, and similarly higher numbers in more densly-populated areas than sparsely-populated areas).

Right. Also natural to expect that measures in highly populated areas would be different than in less populated areas.
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