[rawnlq]

The author is obsessed with fitting things with a logistic function and drawing wild conclusions even when it directly contradicts itself.

You can't have the rate of publication be a logistic function and the cumulative publication be a logistic function. The derivative(i.e., rate) of the logistic function should be 0 at both tails which isn't S-shaped anymore.

[mkagenius]

Yes, instead of slowing down, the curve could just continue growing straight, there is no inflection point in the graph. Also, area under logistic function is also more like a straight line: https://www.google.co.in/search?q=graph+log(1%2Be%5Ex)