Statue of Clio by Frederick Ochs (1857), part of a wall fountain at Sanssouci, the summer palace of Frederick the Great (1740-1786). Sanssouci and its gardens are a World Heritage Site. (From a photograph by Steffen Heilfort, Via Wikimedia Commons.) |
"'Cliodynamics' is a transdisciplinary area of research integrating historical macrosociology, economic history/cliometrics, mathematical modeling of long-term social processes, and the construction and analysis of historical databases. Cliodynamics: The Journal of Theoretical and Mathematical History is an international peer-reviewed web-based/free-access journal that will publish original articles advancing the state of theoretical knowledge in this discipline. 'Theory' in the broadest sense includes general principles that explain the functioning and dynamics of historical societies and models, usually formulated as mathematical equations or computer algorithms. It also has empirical content that deals with discovering general empirical patterns, determining empirical adequacy of key assumptions made by models, and testing theoretical predictions with the data from actual historical societies."[8]Not surprisingly, historians, who come from a literary tradition, have been resistant to their field being overrun by mathematicians, statisticians and computer scientists. The same was true in the past for their colleagues in sociology, anthropology and economics, but all these fields have succumbed to quantification.[6] The mathematics involved are not that difficult. It includes statistical techniques, such as spectral analysis, which are accessible to any undergraduate, and to anyone with the right software packages. I recommend the free and open source software (FOSS) tools, "R" and Gnumeric. As they say, "The proof of the pudding is in the eating," so the cliodynamics approach is to develop a model with one historical dataset, and then test it with another.[6] One controversial cliodynamics theory that appears to have validity is the cyclic instability of agrarian states. The historical record from Ancient Rome, through Medieval England, to the recent history of the United States, shows waves of instability at hundred year intervals.[6] A cause for this might be a population's growth beyond its ability to act productively. This causes falling wages, and increased government deficit, and the inability of educated people to find appropriate employment.[6] This appears to be today's situation in the US. Going back to Veblen's conspicuous consumption and the initial theme of today's article, I present the following graph derived from data found in an article on the same web site as the Cliodynamics journal, but not a part of the journal's contents.[9] It shows how nicely mathematics can explicate an economic fact.
Estimated US millionaires/billionaires in the year 2000. The data follow a perfect line on a log-log plot. (Data from ref. 9, graphed using Gnumeric.) |