"The last shreds of wilderness" is an absurd hyperbole. There's still a lot of wilderness left, and I think we're approaching maximum land under cultivation. (checks google) As a matter of fact... in 1970, 4.48B hectares were cultivated. in 2008, it was 4.83B, a <10% increase over almost 40 years and a near-doubling of the population. What happened? Incredible increases in yield starting post-WWII, greatly increasing the amount of food per acre.
So where does this leave the original study? Does it assume there will be no improvement in yield? Is farming more land the only solution being tried? Obviously not. What they're breathlessly recommending is exactly what we've been doing for over half a century now (really, about two centuries) - improving yield.