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Regarding the first image from Kuhbandner's analysis: he did the simulation (left hand side) to reproduce a situation as observed in reality (right hand side), where the assumed effect (deaths) seems to precede the assumed cause (vaccinations). You can also do that using basic modelling tools, e.g., Gompertz functions. I have been playing with this a little:

https://cm27874.substack.com/p/whos-first-in-line

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Thank you. Yes perhaps the mortality rate decreases due to the more vulnerable being vaccinated first.

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Yes, perhaps. Difficult to detangle because those most vulnerable to the vaccines might also be most vulnerable to Covid. Excellent material for Simpson paradoxa and such.

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