We present a new treatment of the competition for adherents between religious and irreligious segments of modern secular societies ... Data suggest a particular case of our general growth law, leading to clear predictions about possible future trends in society.Basically they treat human society as a big interconnected system with predictable properties. You can't predict any one person's behavior, but by the time you're dealing with millions of people, the laws of large numbers and statistics make it possible to make accurate forecasts of seemingly non-mathematical traits like religion and love.
And guess what? Religion is going out of business in a bunch of countries. The trends are clear.
This matches what we know from a number of other sources. They're describing the same phenomena predicted by the Second-Generation Effect, the spread of science and atheism memes, the problem of Mushy Christians, and the effects of wealth and good health. But they're doing it in their abstract mathematician's language that ignores the causes and only measures the results.
It's nice to think that we atheist bloggers, authors and our readers are contributing in some modest way to this trend. Religion has some powerful memes to defend itself and to spread itself. It won't stop on its own. These mathematicians are working on today's data, but religion has a way of evolving and defying predictions. We have to be quicker so that atheism, humanism, science and reason are the surviving memes and religious memes go the way of the dinosaurs.