I'm not familiar with this book, although I did read the Wikipedia summary.
Perhaps the big times was the time before the beginning of the novel. Something terrible happened then, perhaps a huge earthquake. That may be the phenomenon to which your question refers.
I am reading this book called "The Last Book in the Universe" and I have to answer some questions and one of the questions asked :
(chapter 2)
What happened in the big times that changed the way people live? What do we call this phenomenon?
Can you explain the second part of the question please?
2 answers
They did mention something named "The Big Shake" and I was thinking about the same idea. Thanks!