"To Peter Turchin, who studies population dynamics at the University of Connecticut in Storrs, the appearance of three peaks of political instability at roughly 50-year intervals is not a coincidence. For the past 15 years, Turchin has been taking the mathematical techniques that once allowed him to track predator–prey cycles in forest ecosystems, and applying them to human history. He has analysed historical records on economic activity, demographic trends and outbursts of violence in the United States, and has come to the conclusion that a new wave of internal strife is already on its way. (...) Turchin's approach — which he calls cliodynamics after Clio, the ancient Greek muse of history — is part of a groundswell of efforts to apply scientific methods to history by identifying and modelling the broad social forces that Turchin and his colleagues say shape all human societies. It is an attempt to show that “history is not 'just one damn thing after another'”, says Turchin, paraphrasing a saying often attributed to the late British historian Arnold Toynbee. (...)" - Amira

"Turchin and his allies contend that the time is ripe to revisit general laws, thanks to tools such as nonlinear mathematics, simulations that can model the interactions of thousands or millions of individuals at once, and informatics technologies for gathering and analysing huge databases of historical information. (...) Turchin and his colleagues are systematically collecting historical data that span centuries or even millennia — and the mathematical analysis of how the variables interact. (...) The researchers found that two trends dominate the data on political instability. The first, which they call the secular cycle, extends over two to three centuries. It starts with a relatively egalitarian society, in which supply and demand for labour roughly balance out. In time, the population grows, labour supply outstrips demand, elites form and the living standards of the poorest fall. At a certain point, the society becomes top-heavy with elites, who start fighting for power. Political instability ensues and leads to collapse, and the cycle begins again. (...) " - Amira

"We find that there is a consistent pattern of higher frequencies at low magnitudes, and lower frequencies at high magnitudes, that follows a precise mathematical formula.” But when it comes to predicting unique events such as the Industrial Revolution, or the biography of a specific individual such as Benjamin Franklin, he says, the conventional historian's approach of assembling a narrative based on evidence is still best." - Amira

also see the special issue of Cliodynamics, the Journal of Theoretical and Mathematical History (2011, v2(1)) http://ff.im/1241lV - Adriano