So ~everything is ultimately an S-curve. Yet although ‘this trend will start capping out somewhere’ is a very safe bet, ‘calling the inflection point’ before you’ve passed it is known to be extremely hard. Sigmoid curves in their early days are essentially indistinguishable from exponential ones, and the extra parameter which ~guarantees they can better (over?)fit the points on the graph than a simple exponential give very unstable estimates of the putative ceiling the trend will ‘cap out’ at. (cf. 1, 2.)
Many important things turn on (e.g.) ‘scaling is hitting the wall ~now’ vs. ‘scaling will hit the wall roughly at the point of the first dyson sphere data center’ As the universe is a small place on a log scale, this range is easily spanned by different analysis choices on how you project forward.
Without strong priors on ‘inflecting soon’ vs. ‘inflecting late’, forecasts tend to be volatile: is this small blip above or below trend really a blip, or a sign we’re entering a faster/​slow regime?
Ah, @Gregory Lewis🔸 says some of the above better. Quoting his comment: