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  January 19, 2011
 
			from
			
			ScienceBlog Website 
			  
				
					
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			Co-authors are David G. 
			Anderson, professor of anthropology at the University of 
			Tennessee-Knoxville and Peter Turchin, professor of ecology and 
			evolutionary biology and mathematics at the University of 
			Connecticut.The National Institute for Mathematical and Biological Synthesis (NIMBioS) 
			brings together researchers from around the world to collaborate 
			across disciplinary boundaries to investigate solutions to basic and 
			applied problems in the life sciences.
 
			NIMBioS is sponsored by the 
			National Science Foundation, the U.S. Department of Homeland 
			Security, and the U.S. Department of Agriculture with additional 
			support from The University of Tennessee, Knoxville. |  
			The instability of large, complex societies is a predictable 
			phenomenon, according to a new mathematical model that explores the 
			emergence of early human societies via warfare.
 
			  
			Capturing hundreds of years of human 
			history, the model reveals the dynamical nature of societies, which 
			can be difficult to uncover in archaeological data.
 The research, led Sergey Gavrilets, associate director for 
			scientific activities at the National Institute for Mathematical 
			and Biological Synthesis and a professor at the University of 
			Tennessee-Knoxville, is published in the first issue of the new 
			journal 
			
			Cliodynamics: The Journal of Theoretical and 
			Mathematical History, the first academic journal 
			dedicated to research from the emerging science of theoretical 
			history and mathematics.
 
 The numerical model focuses on both size and complexity of emerging 
			“polities” or states as well as their longevity and settlement 
			patterns as a result of warfare.
 
			  
			A number of factors were measured, but 
			unexpectedly, the largest effect on the results was due to just two 
			factors - the scaling of a state’s power to the probability of 
			winning a conflict and a leader’s average time in power.  
			  
			According to the model, the stability of 
			large, complex polities is strongly promoted if the outcomes of 
			conflicts are mostly determined by the polities’ wealth or power, if 
			there exist well-defined and accepted means of succession, and if 
			control mechanisms within polities are internally specialized.
			 
			  
			The results also showed that polities 
			experience what the authors call “chiefly cycles” or rapid cycles of 
			growth and collapse due to warfare.
 The wealthiest of polities does not necessarily win a conflict, 
			however.
 
			  
			There are many other factors besides 
			wealth that can affect the outcome of a conflict, the authors 
			write. The model also suggests that the rapid collapse of a polity 
			can occur even without environmental disturbances, such as drought 
			or overpopulation.
 By using a mathematical model, the researchers were able to capture 
			the dynamical processes that cause chiefdoms, states and empires to 
			emerge, persist and collapse at the scale of decades to centuries.
 
				
				“In the last several decades, 
				mathematical models have been traditionally important in the 
				physical, life and economic sciences, but now they are also 
				becoming important for explaining historical data,” said 
				Gavrilets.    
				“Our model provides theoretical 
				support for the view that cultural, demographic and ecological 
				conditions can predict the emergence and dynamics of complex 
				societies.”
 
			Citation 
				
					
					
					Gavrilets S, Anderson D, Turchin 
					P. 2010. Cycling in the complexity of early societies. 
					Cliodynamics: The Journal of Theoretical and Mathematical 
					History. 1:1 
					http://escholarship.org/uc/irows_cliodynamics?volume=1;issue=1 
			  
			Response 
				
				1. Karl Kaiser January 19, 2011
				 
				It is a bit of a dogmatic stretch to 
				say that this model “explains” how societies evolve. When does a 
				model go from simply modeling or mimicking reality to 
				“explaining” it to actually revealing exactly all of it’s hidden 
				machinations?    
				Scientists (and thinking people in 
				general) have a dogmatic and neurotic tendency to prematurely 
				declare that they have “explained” reality just because their 
				models coincide with what we are able to observe of it.   |