Abstract
Archaeologists can learn from models of evolution as a self-organized critical phenomenon. Self-organized critical systems are large, interactive systems that organize into a critical state where minor events can trigger chain reactions. Such systems demonstrate power-law distributions in the size of changes, or “avalanches,” that occur. The theory of self-organized criticality is important in that it implies that the evolution of complex systems may be driven more by interactions between agents than by external events or natural selection. Stylistic changes may be examples of avalanches of interconnected events. Evidence for self-organized criticality is shown for stylistic evolution in historical pottery styles from New York State and is used to evaluate the nature of a prehistoric pottery typology from the Southwest.
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REFERENCES CITED
Adamic, A. L., and Huberman, B. A. (1999). The nature of markets in the world wide web. http://www.parc.xerox.com/spl/groups/dynamics/www/new.html. (1999).
Albert, R., Jeong, H., and Barabási, A.-L. (1999). Internet: Diameter of the world-wide web. Nature 401: 130.
Ames, K. A. (1996). Archaeology, style, and the theory of coevolution. In Maschner, H. D. G. (ed.), Darwinian Archaeologies, Plenum Press, New York, pp. 109–132.
Arthur, W. B. (1999). Complexity and the economy. Science 284: 107–109.
Bak, P. (1994). Self-organized criticality: A holistic view of nature. In Cowan, G. A., Pines, D., and Meltzer, D. (eds.), Complexity: Metaphors, Models, and RealityVol. 19, Santa Fe Institute Studies in the Sciences of Complexity, Addison-Wesley, Reading Massachusetts, pp. 477–495. (1996). How NatureWorks: The Science of Self-Organized Criticality, Springer-Verlag, NewYork.
Bak, P., and Chen, K. (1991). Self-organized criticality. Scientific American 264(1): 46–53.
Bak, P., and Paczuski, M. (1996). Mass extinctions vs. uniformitarianism in biological evolution. Physics of Biological Systems, Springer-Verlag, Heidelberg.
Bak, P., and Sneppen, K. (1993). Punctuated equilibrium and criticality in a simple model of evolution. Physical Review Letters 71: 4083–4086.
Bak, P., Tang, C., and Weisenfeld, K. (1987). Self-organized criticality: An explanation of 1= fnoise. Physical Review Letters 59: 381–384. (1988). Self-organized criticality. Physical Review A 38: 364–374.
Barabási, A.-L., and Albert, R. (1999). Emergence of scaling in random networks. Science 286: 509–512.
Bentley, R. A., and Maschner, H. D. G. (2000a). A growing network of ideas. Fractals, 8: 227–237. (2000b). Subtle nonlinearity in popular album charts. Advances in Complex Systems 2:197–208.
Bettinger, R. L., Boyd, R., and Richerson P. J. (1996). Style, function, and the cultural evolutionary process. In Maschner, H.D.G. (ed.), Darwinian Archaeologies, Plenum Press, NewYork, pp. 133–164.
Bintliff, J. L. (1997). Catastrophe, chaos, and complexity: The death, decay, and rebirth of towns from antiquity to today. Journal of European Archaeology 5(2): 67–90.
Bintliff, J. L. (1999). Structure, contingency, narrative and timelessness. In Bintliff, J. (ed.), Structure and Contingency: Evolutionary Processes in Life and Human Society, Leicester University Press, London, pp. 132–148.
Bogucki, P. (2000). How agriculture came to north-central Europe. In Price, T. D. (ed.), Europe's First Farmers, Cambridge University Press, in press.
Bordieu, P. (1977). Outline of a Theory of Practice, Cambridge University Press, Cambridge.
Braun, D. P. (1991). Why decorate a pot? Midwestern household pottery, 200 B.C.–A.D. 600. Journal of Anthropological Archaeology 10: 360–397.
Brown, J. H. (1994). Complex ecological systems. In Cowan, G. A., Pines, D., and Meltzer, D. (eds.), Complexity: Metaphors, Models, and Reality, Vol. 19, Santa Fe Institute Studies in the Sciences of Complexity, Addison-Wesley, Reading Massachusetts, pp. 419–443.
Burlando, B. (1990). The fractal dimension of taxonomic systems. Journal of Theoretical Biology 146, 99.
Dawkins, R. (1989). The Selfish Gene, Oxford University Press, Oxford.
Dietler, M., and Herbich, I. (1998) Habitus, techniques, style: An integrated approach to the social understanding of material culture and boundaries. In Stark, M. T. (ed.), The Archaeology of Social Boundaries, Smithsonian Institution Press, Washington, DC, pp. 231–263.
Dunnell, R. C. (1978). Style and function: A fundamental dichotomy. American Antiquity 43: 192–202.
Dunnell, R. C (1980). Evolutionary theory in archaeology. In Schiffer, M. B. (ed.), Archeological Method and Theory, Vol. 3, Academic Press, New York, pp. 35–99.
Eldredge, N., and Gould, S. J. (1972). Punctuated equilibria: An alternative to phyletic gradualism. In Schopf, T. J. M. (ed.), Models in Paleobiology, Freeman, Cooper and Co., San Francisco, pp. 82–115.
Frette,V., Christensen, K., MaltheSorenssen, A., Feder, J., Jossang T., and Meakin, P. (1996). Avalanche dynamics in a pile of rice. Nature 379: 49–52.
Gell-Mann, M. (1994). The Quark and the Jaguar: Adventures in the Simple and the Complex, W.H. Freeman and Company, New York.
Gould, S. J. (1999). Introduction: The scales of contingency and punctuation in history. In Bintliff, J. L. (ed.), Structure and Contingency: Evolutionary Processes in Life and Human Society, ix–xxii. Leicester University Press, London, pp. ix–xxii.
Gould, S. J., and Eldredge, N. (1993). Punctuated equilibrium comes of age. Nature 366:223–227.
Huberman, B. A., and Adamic, A. L. (1999). Growth dynamics of the World-Wide Web. Nature 401: 131.
Huberman, B. A., Pirolli, P. L. T., Pitkow, J. E., and Lukose, R. M. (1998). Strong regularities in world wide web surfing. Science 280: 95–97.
Kauffman, S. A. (1994). Whispers from carnot. In Cowan, G. A., Pines, D., and Meltzer, D. (eds.), Complexity: Metaphors, Models, and Reality, Vol. 19, Santa Fe Institute Studies in the Sciences of Complexity, Addison-Wesley, Reading Massachusetts, pp. 83–136. (1995). At Home in the Universe: The Search for Laws of Self-Organization and Complexity, Oxford University Press, New York.
Kauffman, S. A., and Johnsen, S. (1991). Coevolution to the edge of chaos: Coupled fitness landscapes, poised states, and coevolutionary avalanches. Journal of Theoretical Biology 149: 467–505.
Keitt, T. H., and Stanley, H. E. (1998). Dynamics of North American breeding bird populations. Nature 393: 257–260.
Ketchum, W. C. (1987). Potters and Potteries of New York State, Syracuse University Press, Syracuse, NY, pp. 1650–1950.
Kirchner, J. W., and Weil, A. (1998). No fractals in fossil extinction statistics. Nature 395: 337–338.
Kohler, T. (1993). News from the north American southwest: Prehistory on the edge of chaos. Journal of Archaeological Research 1: 267–321.
Kohler, T., and West, C. V. (1996). The calculus of self-interest in the development of cooperation: Sociopolitical development and risk among the northern Anasazi. In Tainter, J. A., and Tainter, B. B. (eds.), Evolving Complexity and Environmental Risk in the Prehistoric Southwest, Vol. XXVI, Santa Fe Institute Studies in the Sciences of Complexity, Proceedings, Addison-Wesley, Reading, MA, pp. 171–198.
Leonard, R. D., and Jones, G. T. (1987). Elements of an inclusive evolutionary model for archaeology. Journal of Anthropological Archaeology 6:199–219.
Lipo, C. P., Madsen, M. E., Dunnell, R. C., and Hunt, T. (1997). Population structure, cultural transmission, and frequency seriation. Journal of Anthropological Archaeology 16: 301–333.
Lux, T., and Marchesi, M. (1999). Scaling and criticality in a stochastic multi-agent model of a financial market. Nature 397: 498–500.
Malamud, B. D., Morein, G., and Turcotte, D. L. (1998). Forest fires: An example of self-organized critical behavior. Science 281: 1840–1842.
Mantegna, R. N., and Stanley, H. E. (1995). Scaling behaviour in the dynamics of an economic index. Nature 376: 46–49.
Nagatani, T. (1996). Self-organized criticality in 1D traffic flow. Fractals 4: 279–283.
Nagel, K., and Herrmann, H. J. (1993). Deterministic models for traffic jams. Physica A 2: 254–269.
Neff, H. (1993). Theory, sampling, and analytical techniques in the archaeological study of prehistoric ceramics. American Antiquity 58: 23–44.
Neff, H. (1996). Ceramics and evolution. In O'Brien, M. J. (ed.), Evolutionary Archaeology: Theory and Application, University of Utah Press, Salt Lake City, pp. 244–269.
Neiman, F. D. (1995) Stylistic variation in evolutionary perspective—inferences from decorative diversity and interassemblage distance in Illinois Woodland ceramic assemblages. American Antiquity 60: 7–36.
Newman, M. E. J. (1996). Self-organized criticality, evolution, and the fossil extinction record. Proceedings of the Royal Society London B 263: 1605–1610. (1997a). A model of mass extinction. Journal of Theoretical Biology 189: 235–252. (1997b). Evidence for self-organized criticality in evolution. Physica D 107: 293–296.
Newman M. E. J., and Eble, G. J. (1999). Power spectra of extinction in the fossil record. Proceedings of the Royal Society of London B 266: 1267–1270.
Newman, M. E. J., and Palmer, R. G. Models of extinction: A review. Santa Fe Institute working paper 99-08-061. www.arxiv.org/abs/adap.org/9908002.
O'Brien, M. J. (1996). Methodological issues in evolutionary archaeology. In O'Brien, M. J. (ed.), Evolutionary Archaeology: Theory and Application, University of Utah Press, Salt Lake City, pp. 107–111.
O'Brien, M. J., and Holland, T. D. (1990). Variation, selection, and the archaeological record. In Schiffer, M. B. (ed.), Archeological Method and Theory, Vol. 2, University of Arizona Press, Tucson, pp. 31–79.
Paczuski, M., Maslov S., and Bak. P. (1996). Avalanche dynamics in evolution, growth, and depinning models. Physical Review E 53: 414–443.
Plerou, V., Amaral, L. A. N., Gopikrishnan, P., Meyer, M., and Stanley, H. E. (1999). Similarities between the growth dynamics of university research and of competitive economic activities. Nature 400: 433–437.
Preucel, R. W., and Hodder. I. (1996). Contemporary Archaeology in Theory: A Reader, Blackwell Publishers Ltd., Oxford.
Raup, D. M. (1986). Biological extinction in history. Science 231: 1528–1533. (1991). Extinction: Bad Genes or Bad Luck?. Norton, New York.
Renfrew, C., and Bahn. P. (1996). Archaeology: Theories, Methods, and Practice, 2nd Ed., Thames and Hudson, London.
Renfrew, C., and Cooke, K. L. (eds.). (1979). Transformations: Mathematical Approaches to Culture Change, Academic Press, New York.
Roberts, B.W., and Newman, M. E. J. (1996). A model for evolution and extinction. Journal of Theoretical Biology 180: 39–54.
Rosenberg, M. (1994). Pattern, process, and hierarchy in the evolution of culture. Journal of Anthropological Archaeology 13: 307–340.
Scheinkman, J., and Woodford, M. (1994). Self-organized criticality and economic fluctuations. AEA Papers and Proceedings 84: 417–421.
Schiffer, M. B. (1979). A preliminary consideration of behavioral change. In Renfrew, C., and Cooke, K. L. (eds.), Transformations: Mathematical Approaches to Culture Change, Academic Press, New York, pp. 353–368.
Sepkoski, J. J. Jr. (1993). Ten years in the library: New data confirm paleontological patterns. Paleobiology 19: 43–51.
Sepkoski, J. J. Jr., and Kock. C. F. (1996). Evaluating paleontologic data relating to bio-events. In Wallister, O. H. (ed.), Global Events and Event Stratigraphy, Springer, Berlin.
Sneppen, K., Bak, P., Flyvbjerg, H., and Jensen, M. H. (1995). Evolution as a self-organized critical phenomenon. Proceedings of the National Academy of Science, USA 92: 5209–5213.
Solé, R.V., and Bascompte, J. (1996). Are critical phenomena relevant to large-scale evolution? Proceedings of the Royal Society of London B 263: 161–168.
Solé, R.V., and Manrubia, S. C. (1996). Extinction and self-organized criticality in a model of large-scale evolution. Physical Review E 54: R42–R45.
Solé, R.V., Manrubia, S. C., Benton, M., and Bak, P. (1997). Self-similarity of extinction statistics in the fossil record. Nature 388: 764–767.
Stanley, M. H. R., Amaral, L. A. N., Buldyrev, S. V., Havlin, S., Leschhorn, H., Maass, P., Salinger, M. A., and Stanley, H. E. (1996). Scaling behaviour in the growth of companies. Nature 379: 804–806.
Turcotte, D. L. (1997). Fractals and Chaos in Geology and Geophysics. Cambridge University Press, Cambridge.
Turcotte D. L., Malamud, B. D., Morein, G., and Newman, W. I. (1999). An inverse-cascade model for self-organized critical behavior. Physica A 268: 629–643.
Van Valen, L. (1973). A new evolutionary law. Evolutionary Theory 1, 1–30.
Watts, D. J., and Strogatz, S. H. (1998). Collective dynamics of 'small-world' networks. Nature 393: 440–442.
West, B. J., and Deering, B. (1995). The Lure of Modern Science: Fractal Thinking, World Scientific, Singapore.
Wobst, H. M. (1977) Stylistic behavior and information exchange. In C. Cleland, (ed.), For the Director: Research Essays in Honor of James B.Griffin. Anthropological Paper 61, University of Michigan, Museum of Anthropology, Ann Arbor, pp. 317–342.
Wood, J. S. (1987). Checklist of Pottery Types for the Tonto National Forest: An Introduction to the Archeological Ceramics of Central Arizona, Arizona Archaeological Society, Phoenix.
Zipf, G. K. (1949). Human Behavior and the Principle of Least Effort, Addison-Wesley, Cambridge MA.
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Bentley, R.A., Maschner, H.D.G. Stylistic Change as a Self-Organized Critical Phenomenon: An Archaeological Study in Complexity. Journal of Archaeological Method and Theory 8, 35–66 (2001). https://doi.org/10.1023/A:1009521915258
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DOI: https://doi.org/10.1023/A:1009521915258