Cultural Models and Dynamic SimulationsRandomness and Stochastic Processes; Optimization and the Mathematical Theory of Games; Acknowledgments; References; Chapter3. Mathematics in the Field of History; Introduction; Mathematics; Classical Use of Mathematics; Basic Abilities of the Computer; Symbol Manipulation; Chance Effects; Complexity; Music Generation; Simulation; A Simple Process; Fuzzy Systems; Kladistics; Conclusion; References; Chapter4. Morphogenesis in Biological and Social Systems; Introduction; Population Distributions in Space; Cultural Differentiation; Discussion; References

PARTII: HIERARCHY AND SOCIAL SPACEReferences; Chapter 5. Simulating the Growth of Hierarchies; Introduction; Rank-Size Relationships; The Data; The Processes; Discussion of the Results; Conclusion; References; Chapter6. Exploring Dominance: Predicting Polities from Centers; Problems in Reconstructing the Territories of Polities; The XTENT Model; The XTENT Model as a Framework of Comparison; Acknowledgments; References; Chapter 7. A Reconstruction of Toltec Period Political Units in the Valley of Mexico; Specifying the Interaction Model; Testing the Interaction Model

Previous Discussions of Toltec Political OrganizationInterpretations and Results; Summary; Acknowledgments; References; PARTIll: SIMULATON AND THE MEASUREMENT OF CHANGE; References; Chapter8. Logistic Trends in Southwest Population Growth; Depicting Prehistoric Population Trends; Method of Analysis; Results; Discussion; Summary; Acknowledgments; References; Chapter9. Alternative Models of Prehistoric Change; Empirical Problems; Methodological Problems; Theoretical Problems; An Alternative Approach; Observational Adequacy; Assumed Linearity; The Locus of Patterning; Theory; Interpretation