 In addition, Korotayev and his colleagues have proposed a number of forecasts of the World System development up to 2100.In collaboration with Alexander V. Markov he has demonstrated that a similar mathematical model can be developed to describe the macrotrends of biological evolution.They have shown that changes in biodiversity through the Phanerozoic correlate much better with hyperbolic model (widely used in demography and macrosociology) than with exponential and logistic models (traditionally used in population biology and extensively applied to fossil biodiversity as well).