Book

Historical Dynamics

A Synthetic Approach to Historical Expansions and Contractions through Mathematical Modeling and Empirical Analysis

Oct 19, 2003Princeton University Press

About the Book

Why States Rise and Fall Many historical processes are dynamic. Populations grow and decline. Empires expand and collapse. Religions spread and wither. Natural scientists have made great strides in understanding dynamical processes in the physical and biological worlds using a synthetic approach that combines mathematical modeling with statistical analyses. Taking up the problem of territorial dynamics–why some polities at certain times expand and at other times contract–this book shows that a similar research program can advance our understanding of dynamical processes in history. Peter Turchin develops hypotheses from a wide range of social, political, economic, and demographic factors: geopolitics, factors affecting collective solidarity, dynamics of ethnic assimilation/religious conversion, and the interaction between population dynamics and sociopolitical stability. He then translates these into a spectrum of mathematical models, investigates the dynamics predicted by the models, and contrasts model predictions with empirical patterns. Turchin’s highly instructive empirical tests demonstrate that certain models predict empirical patterns with a very high degree of accuracy. For instance, one model accounts for the recurrent waves of state breakdown in medieval and early modern Europe. And historical data confirm that ethno-nationalist solidarity produces an aggressively expansive state under certain conditions (such as in locations where imperial frontiers coincide with religious divides). The strength of Turchin’s results suggests that the synthetic approach he advocates can significantly improve our understanding of historical dynamics.

Review Highlights

"An important, original, and timely book―richly detailed and beautifully thought out." ― Jack A. Goldstone, University of California, Davis "This book is clearly the state of the art in formal modeling and computer simulation of long-term historical changes in territorial states. Elegantly formulated and clearly written, it takes an important topic to a new level of formal sophistication." ― Randall Collins, University of Pennsylvania

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Cliodynamics, the rise & fall of empires and asabiya

Aug 1, 2008Razib Khan

Yesterday assman recommended Peter Turchin's oeuvre as a nice theoretical overview of world history, in particular Historical Dynamics: Why States Rise and Fall. Unfortunately it was checked out at the library, so I've ordered it, but his more popularly oriented War and Peace and War: The Rise and Fall of Empires was available and I read it last night.…

gnxpStates and EmpiresCliodynamics
Publication

Response to Oscillations in Population Sizes – From Ecology to History

Jan 5, 2005Turchin, P.

I wish to thank Natalia Komarova for bringing up a very important issue in modeling dynamical phenomena—what mathematical framework to use. Komarova argues that a delayed logistic model provides a better framework for modeling historical dynamics than the ordinary differential equations used in my paper. Before addressing the main point of Komarova’s critique, however, I need to clarify one other aspect of my paper—the role of internal warfare in the theory of secular cycles. Komarova wonders how “warfare ... can become an independent entity, take a life of its own and exert prey-like pressure” on population. First, I want to stress that my model of interaction between population dynamics and socio-political instability in no way is based on an analogy between secular cycles and predator-prey cycles. These are phenomena from completely different disciplines, and I find any cross-parallels between them completely unhelpful, and even potentially misleading (which is probably the source of my critic’s puzzlement) . True, mathematical models are somewhat similar, but that’s the power of mathematics—that formally the same equations can be applied to completely different fields of science by interpreting the variables in appropriate ways. A model for a planet hurtling around the Sun is another example of the same mathematical approach applied to substantively very different phenomena.

Structure and Dynamics: eJournal of Anthropological and Related SciencesPolitical InstabilityCliodynamics
Publication

Why do we need models of historical dynamics

Feb 5, 2006Peter, T., Andrey, K., Leonid, G.

Many historical processes are dynamic (a dynamic process is one that changes with time). Populations increase and decline, economies expand and contract, while states grow and collapse. How can we study mechanisms that bring about temporal change and explain the observed trajectories? A very common approach, which has proved its worth in innumerable applications (particularly, but not exclusively, in the natural sciences), consists of taking a holistic phenomenon and mentally splitting it up into separate parts that are assumed to interact with each other. This is the dynamical systems approach, because the whole phenomenon is represented as a system consisting of several interacting elements (or subsystems). In the dynamical system's approach, we must describe mathematically how different subsystems interact with each other. This mathematical description is the model of the system, and we can use a variety of methods to study the dynamics predicted by the model, as well as attempt to test the model by comparing its predictions with the observed dynamics.

History and MathematicsCliodynamicsStates and Empires

Twenty Years of Cliodynamics

Blog Archive
Oct 23, 2021

Almuzara is about to publish a Spanish translation of my book Historical Dynamics . When they asked for a foreword to the Spanish edition, I realized that it has already been 20 years since I wrote Historical Dynamics .…

Blog ArchiveCliodynamicsHistorical Databases
Scholarly Review
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Review of Historical Dynamics in the Journal of Peace Research

Jan 2, 2007William C. Terry

Historical Dynamics is a wonderful behind-the-scenes look at an effort to turn informal theories into cogent mathematical models capable of producing fresh insights.

Journal of Peace ResearchCliodynamicsPolitical Instability
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A review of Historical Dynamics in American Journal of Sociology

Jul 4, 2006Dingxin Zhao

“The book is well organized and clearly argued. … unlike some simple-minded mathematical modelers, Turchin is very familiar with the relevant literature and has made a genuine effort to incorporate historical data into his models.…

American Journal of SociologyCliodynamicsPolitical Instability