I'm sure this is backed up by studies and references, and at the same time I am amused at the hubris of making this statement. It's a cheap prediction to make, given that it will be around 2070 before you can verify it - and how right it is depends on lack-of-catastrohpies (e.g. in 20 years we'll have an idea how the meltdown in Fukushima affects lifespan), same-rate-and-same-kind-and-availability of advances, etc.
And before you criticize me for being "anti-sciece" - I am not, and unlike a lot of other assertions, this might technically be science (I haven't reviewed the source material) - however, it is not useful science because it may take 70 years to falsify.
Furthermore, a lot of -- perhaps most -- extrapolations of past trends had been wrong. At the time of Wallace & Darwin it was "scientifically" extrapolated that food will only grow linearly. And in 1980 climate studies had shown that if we don't do anything (and we didn't) by 2000 quite a few coastal cities will be underwater. If I wasn't anonymous, I'd place a long bet that the data crunching that led to this prediction will turn out to be complete rubish.