Specifically, given the theoretical and empirical relation between energy - use and population growth rates, we ask how the availability of energy is likely to affect population growth through 2050. (journals.plos.org)
It doesn't even add knowledge of the relation between gas ppm and forcing in watts / m2; for that it uses published empirical relations. (climateaudit.org)
Other researchers had already developed empirical relations that, on average, tied the growth of a bubble to the number of faces, and the new, exact result might be useful for to putting those rules of thumb on a firmer theoretical foundation, says Sascha Higlenfeldt, an applied mathematician at Northwestern University in Evanston, Illinois. (sciencemag.org)