Actually, it's a basic pattern in almost any process, from stellar development to human life to ecology to society to you name it. I wonder if someone worked out the underlying math.
My reading of the given quote is the same as buybuy's. Maybe you're talking about a more general process? Your comment here is tantalizing, but I don't have any particular reason to believe it; can you give examples, or explain it further, or something?
TGGP a frequent commenter at Overcoming Bias (and hence old LessWrong), writes about his thoughts on a book by Joseph Tainter.