Hostname: page-component-84b7d79bbc-5lx2p Total loading time: 0 Render date: 2024-07-26T19:02:14.344Z Has data issue: false hasContentIssue false

On Mathematical Models of the Classic Maya Collapse: The Class Conflict Hypothesis Reexamined

Published online by Cambridge University Press:  20 January 2017

John W. G. Lowe*
Affiliation:
Department of Anthropology, University of Illinois, Urbana, IL 61801

Abstract

Recently, Hamblin and Pitcher (1980) have attempted to buttress the class conflict explanation of the Classic Maya collapse using a series of mathematical models. However, despite the exceptionally good agreement between these mathematical relations and the empirical data, the same cannot be said for the fit between the conceptual and mathematical models. The relations employed are very general, so much so as to often be isomorphic with very different processes. In one case at least, the same model appears to be consistent with several entirely distinct explanations of the collapse, and other mathematical readings of the monument data are by no means precluded. While these particular mathematical relationships fail to make a very strong case that the Classic Maya collapse was engendered primarily through peasant revolt and class conflict, which was very possibly Hamblin's and Pitcher's underlying aim, the attempt to cast explanations of the collapse into mathematical form points the way for the next generation of collapse models.

Type
Comments
Copyright
Copyright © The Society for American Archaeology 1982

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

References Cited

Altschuler, M. 1958 On the environmental limitations of Maya cultural development. Southwestern Journal of Anthropology 14:189198.Google Scholar
Cowgill, G. L. 1979 Teotihuacan, internal militaristic competition, and the fall of the Classic Maya. In Maya archaeology and ethnohistory, edited by Hammond, N. and Willey, G. R., pp. 5162. University of Texas Press, Austin, Texas.Google Scholar
Deevey, E. S., Rice, D. S., Rice, P. M., Vaughan, H. H., Brennar, M., and Flannery, M. S. 1979 Mayan urbanism: impact on a tropical karst environment. Science 206:298306.Google Scholar
Erasmus, C. J. 1965 Monument building: some field experiments. Southwestern Journal of Anthropology 21:277301.Google Scholar
Hamblin, R. L., Jacobsen, R. B., and Miller, J. L. L. 1973 A mathematical theory of social change. Wiley, New York.Google Scholar
Hamblin, R. L., and Pitcher, B. L. 1980 The Classic Maya collapse: testing the class conflict hypothesis. American Antiquity 45:246267.Google Scholar
Kaplan, D. 1963 Men, monuments and political systems. Southwestern Journal of Anthropology 19:397410.Google Scholar
Kidder, A. V. 1950 Introduction. In Uaxactun, Guatemala: excavations of 1931-1937, edited by Smith, A. L. Carnegie Institution of Washington Publication, No. 588:112. Washington, D.C.Google Scholar
Morley, S. G. 1938 The inscriptions of Peten. Carnegie Institution of Washington Publication, No. 437.Google Scholar
Nelson, F. W., Jr. 1973 Archaeological investigations at Dzibilnocac, Campeche, Mexico. Papers of the New World Archaeological Foundation, Brigham Young University, No. 33. Provo, Utah.Google Scholar
Pitcher, B. L., Hamblin, R. L., and Miller, J. L. L. 1978 The diffusion of collective violence. American Sociological Review 43:2345.Google Scholar
Popper, K. R. 1959 The logic of scientific discovery. Harper, New York.Google Scholar
Popper, K. R. 1965 Conjectures and refutations: the growth of scienti/ic knowledge. Harper & Row, New York.Google Scholar
Proskouriakoff, T. A. 1950 A study of Classic Maya sculpture. Carnegie Institution of Washington Publication, No. 593. Washington, D.C.Google Scholar
Rands, R. L. 1973 The Classic collapse in the southern Maya Lowlands: chronology. In The Classic Maya collapse, edited by Culbert, T. P., pp. 4362. University of New Mexico Press, Albuquerque.Google Scholar
Sanders, W. T. 1973 The cultural ecology of the Lowland Maya: a reevaluation. In The Classic Maya collapse, edited by Gilbert, T. P., pp. 325365. University of New Mexico Press, Albuquerque.Google Scholar
Rands, R. L. 1977 Environmental heterogeneity and the evolution of Lowland Maya civilization. In The origins of Maya civilization, edited by Adams, R. E. W., pp. 287297. University of New Mexico Press, Albuquerque.Google Scholar
Sharer, R. J. 1977 The Maya collapse revisited: internal and external perspectives. In Social process in Maya prehistory: studies in honour of Sir Eric Thompson, edited by Hammond, N., pp. 532552. Academic Press, London.Google Scholar
Teeple, J. E. 1928 Maya inscriptions VI: the lunar calendar and its relation to Maya history. American Anthropologist 30:391407.Google Scholar
Thompson, J. E. S. 1966 The rise and fall of Maya civilization (second ed.). University of Oklahoma Press, Norman.Google Scholar
Thompson, J. E. S. 1970 Maya history and religion. University of Oklahoma Press, Norman.Google Scholar
Thompson, J. E. S. 1971 Maya hieroglyphic writing (third ed.) University of Oklahoma Press, Norman.Google Scholar