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1 new born ->
2 20-40 year olds ->
4 40-60 year olds ->
8 60-80 year olds ->
16? 80-100 year olds
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Just ignoring the 80-100 year olds, we end up in a scenario where you have 6 people in the working age for every 8 people of retirement age. And if life expectancy inches up, then it may be closer to 6 working age people for every 16+ retirees.
You can see this visibly playing out in Singapore right now with their population pyramid [1]. They had a nice solid pyramid in the past, so you end up with a very healthy economy and society - lots of young people for relatively fewer older people. But as fertility rates declined you can see it start to flip, so right now it looks a bit like a vase, and in the future it will be an upside down pyramid.
So basically as the old folks move on, they are replaced by even more old folks. And this never really stops until we return to being societies that are having enough children to sustain ourselves.
[1] - https://en.wikipedia.org/wiki/Demographics_of_Singapore#/med...