List of Figures | p. viii |
List of Tables | p. x |
Preface | p. xi |
Statement of the Problem | p. 1 |
Why Do We Need a Mathematical Theory in History? | p. 1 |
Historical Dynamics as a Research Program | p. 3 |
Delimiting the Set of Questions | p. 4 |
AFocus on Agrarian Polities | p. 4 |
The Hierarchical Modeling Approach | p. 5 |
Mathematical Framework | p. 5 |
Summary | p. 7 |
Geopolitics | p. 9 |
APrimer of Dynamics | p. 9 |
Boundless Growth | p. 9 |
Equilibrial Dynamics | p. 11 |
Boom/Bust Dynamics and Sustained Oscillations | p. 12 |
Implications for Historical Dynamics | p. 14 |
The Collins Theory of Geopolitics | p. 16 |
Modeling Size and Distance Effects | p. 16 |
Positional Effects | p. 20 |
Conflict-legitimacy Dynamics | p. 23 |
Conclusion: Geopolitics as a First-order Process | p. 25 |
Summary | p. 27 |
Collective Solidarity | p. 29 |
Groups in Sociology | p. 29 |
Groups as Analytical Units | p. 29 |
Evolution of Solidaristic Behaviors | p. 31 |
Ethnic Groups and Ethnicity | p. 33 |
The Social Scale | p. 34 |
Ethnies | p. 36 |
Collective Solidarity and Historical Dynamics | p. 36 |
Ibn Khaldun's Theory | p. 38 |
Gumilev's Theory | p. 40 |
The Modern Context | p. 42 |
Summary | p. 47 |
The Metaethnic Frontier Theory | p. 50 |
Frontiers as Incubators of Group Solidarity | p. 50 |
Factors Causing Solidarity Increase | p. 51 |
Imperial Boundaries and Metaethnic Fault Lines | p. 53 |
Scaling-up Structures | p. 57 |
Placing the Metaethnic Frontier Theory in Context | p. 59 |
Mathematical Theory | p. 63 |
A Simple Analytical Model | p. 64 |
A Spatially Explicit Simulation | p. 68 |
Summary | p. 75 |
An Empirical Test of the Metaethnic Frontier Theory | p. 78 |
Setting Up the Test | p. 78 |
Quantifying Frontiers | p. 79 |
Polity Size | p. 81 |
Results | p. 83 |
Europe: 0 -1000 c.e.83 | |
Europe: 1000 -1900 c.e.86 | |
Positional Advantage? | p. 89 |
Conclusion: The Making of Europe | p. 91 |
Summary | p. 92 |
Ethnokinetics | p. 94 |
Allegiance Dynamics of Incorporated Populations | p. 94 |
Theory | p. 95 |
Nonspatial Models of Assimilation | p. 95 |
Spatially Explicit Models | p. 99 |
Empirical Tests | p. 104 |
Conversion to Islam | p. 105 |
The Rise of Christianity | p. 111 |
The Growth of the Mormon Church | p. 112 |
Conclusion: Data Support the Autocatalytic Model | p. 113 |
Summary | p. 116 |
The Demographic-Structural Theory | p. 118 |
Population Dynamics and State Breakdown | p. 118 |
Mathematical Theory | p. 121 |
The Basic Demographic-Fiscal Model | p. 121 |
Adding Class Structure | p. 127 |
Models for Elite Cycles | p. 131 |
Models for the Chinese Dynastic Cycle | p. 137 |
Summing up Theoretical Insights | p. 138 |
Empirical Applications | p. 140 |
Periodic Breakdowns of Early Modern States | p. 140 |
The Great Wave | p. 143 |
After the Black Death | p. 145 |
Summary | p. 148 |
Secular Cycles in Population Numbers | p. 150 |
Introduction | p. 150 |
"Scale" and "Order" in Human Population Dynamics | p. 150 |
Long-Term Empirical Patterns | p. 155 |
Reconstructions of Historical Populations | p. 155 |
Archaeological Data | p. 161 |
Population Dynamics and Political Instability | p. 164 |
Summary | p. 167 |
Case Studies | p. 170 |
France | p. 170 |
The Frontier Origins | p. 170 |
Secular Waves | p. 176 |
Summary | p. 184 |
Russia | p. 184 |
The Frontier Origins | p. 184 |
Secular Waves | p. 191 |
Summary | p. 196 |
Conclusion | p. 197 |
Overview of Main Developments | p. 197 |
Asabiya and Metaethnic Frontiers | p. 197 |
Ethnic Assimilation | p. 198 |
Demographic-Structural Theory | p. 199 |
Geopolitics | p. 199 |
Combining Different Mechanisms into an Integrated Whole | p. 200 |
Broadening the Focus of Investigation | p. 203 |
Toward Theoretical Cliodynamics? | p. 204 |
Mathematical | |
| p. 205 |
Translating the Hanneman Mod | |
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