Hostname: page-component-76fb5796d-x4r87 Total loading time: 0 Render date: 2024-04-29T10:53:47.869Z Has data issue: false hasContentIssue false

Analyzing Diffusion and Contagion Effects: The Urban Disorders of the 1960s*

Published online by Cambridge University Press:  01 August 2014

Manus I. Midlarsky*
Affiliation:
University of Colorado, Boulder

Abstract

This study concerns the analysis of diffusion and contagion processes using a lognormal model of overdispersion phenomena. The urban disorders of the past decade are examined and two processes are found to exist in the 1966–67 period. One is a classic diffusion effect in which disorders are precipitated by events which are independent of each other, but lead to outcomes such as numbers of arrests which are proportional to previous disorders. The second process is a contagious one in which disturbances occur as a consequence of smaller cities imitating the behavior of large ones experiencing a disorder. It was found that the explanatory power of the interaction effect between police and black city residents tended to increase as city size increased. Concomitantly, the effects of environmental variables tended to decrease in explanatory power as city size decreased.

Type
Research Article
Copyright
Copyright © American Political Science Association 1978

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.)

Footnotes

*

An earlier version of this paper was presented at the Fourteenth North American Conference of the Peace Science Society (International), Ann Arbor, Michigan, 1976. Support for this study was provided by a grant of the National Science Foundation, GS-40319. The research assistance of Stafford T. Thomas and Fumihiko Yoshida is gratefully acknowledged. The Richardson Institute for Conflict and Peace Research, London, England, graciously provided research support during the past academic year.

References

Aitchison, J. and Brown, J. A. C. (1957). The Lognormal Distribution: With Special Reference to Its Use in Economics. Cambridge, England: Cambridge University Press.Google Scholar
Anscombe, F. J. (1950). “Sampling Theory of the Negative Binomial and Logarithmic Series Distributions.” Biometrika 37:358–82.CrossRefGoogle ScholarPubMed
Bharucha-Reid, A. T. (1960). Elements of the Theory of Markov Processes and Their Applications. New York: McGraw-Hill.Google Scholar
Cassie, R. Morrison (1962). “Frequency Distribution Models in the Ecology of Plankton and Other Organisms.” The Journal of Animal Ecology 31:6592.Google Scholar
Coleman, James S., Katz, Elihu and Menzel, Herbert (1957). “The Diffusion of an Innovation among Physicians.” Sociometry 20:253–69.CrossRefGoogle Scholar
Collier, David and Messick, Richard E. (1975). “Prerequisites versus Diffusion: Testing Alternative Explanations of Social Security Adoption.” American Political Science Review 69:12991315.CrossRefGoogle Scholar
Cramer, Harold (1946). Mathematical Methods of Statistics. Princeton, N.J.: Princeton University Press.Google Scholar
Danzger, M. Herbert (1975). “Validating Conflict Data.” American Sociological Review 40:570–84.Google Scholar
Eisinger, Peter K. (1973). “The Conditions of Protest Behavior in American Cities.” American Political Science Review 67:1128.CrossRefGoogle Scholar
Elderton, William P. and Johnson, Norman L. (1969). Systems of Frequency Curves. Cambridge, England: Cambridge University Press.Google Scholar
Feller, William (1943). “On a General Class of Contagious Distributions.” Annals of Mathematical Statistics 14:389400.CrossRefGoogle Scholar
Gibbons, Jean D. (1971). Nonparametric Statistical Inference. New York: McGraw-Hill.Google Scholar
Gillespie, John V. (1970). “Galton's Problem and Parameter Estimation Error in Comparative Political Analysis.” Paper presented at the Annual Meeting of the Midwest Political Science Association.Google Scholar
Gray, Virginia (1973). “Innovation in the States: A Diffusion Study.” American Political Science Review 67:1174–85.CrossRefGoogle Scholar
Job, Brian (1976). “Membership in Inte-rnation Alliances, 1815–1965: An Exploration Utilizing Mathematical Probability Models.” In Zinnes, Dina A. and Gillespie, John V. (eds.), Mathematical Models in International Relations. New York: Praeger.Google Scholar
Johnson, Norman L. and Kotz, Samuel (1970). Distributions in Statistics: Continuous Univariate Distributions, Vol. 1. Boston: Houghton Mifflin.Google Scholar
Kuznets, Simon (1930). Secular Movements in Production and Prices. Boston, Mass.: Houghton Mifflin.Google Scholar
Li, Richard P. Y. and Thompson, William R. (1975). “The ‘Coup Contagion’ Hypothesis.” Journal of Conflict Resolution 19:6388.CrossRefGoogle Scholar
Lieberson, Stanley and Silverman, Arnold R. (1965). “The Precipitants and Underlying Conditions of Race Riots.” American Sociological Review 30:887–98.CrossRefGoogle ScholarPubMed
Lipsky, Michael (1968). “Protest as a Political Resource.” American Political Science Review 62:1144–58.Google Scholar
Lupsha, Peter A. (1969). “On Theories of Urban Violence.” Urban Affairs Quarterly 4:273–96.Google Scholar
Mazur, Allan (1972). “Comment: The Causes of Black Riots.” American Sociological Review 37:490–93.CrossRefGoogle Scholar
McGowan, Patrick J. and Rood, Robert M. (1975). “Alliance Behavior in Balance of Power Systems: Applying a Poisson Model to Nineteenth Century Europe.” American Political Science Review 69:859–70.Google Scholar
Midlarsky, Manus I. (1970). “Mathematical Models of Instability and a Theory of Diffusion.” International Studies Quarterly 14:6084.Google Scholar
Midlarsky, Manus I. (1975). On War: Political Violence in the International System. New York: Free Press.Google Scholar
Midlarsky, Manus I. (forthcoming, 1978). “Size Effects and the Diffusion of Violence in American Cities.” Papers, Peace Science Society (International), 1977, Vol. 27.Google Scholar
Morgan, William R. and Clark, Terry N. (1973). “The Causes of Racial Disorders: A Grievance-level Explanation.” American Sociological Review 38:611–24.Google Scholar
The Municipal Yearbook (1967). Chicago: International City Managers' Association.Google Scholar
Naroll, Raoul (1973). “Galton's Problem.” In Naroll, Raoul and Cohen, Ronald (eds.), A Handbook of Method in Cultural Anthropology. New York: Columbia University Press.Google Scholar
Newbold, Ethel M. (1927). “Practical Applications of the Statistics of Repeated Events, Particularly to Industrial Accidents.” Journal of the Royal Statistical Society 90:487547.CrossRefGoogle Scholar
Riots, Civil and Criminal Disorders (1967). Hearings before the Permanent Subcommittee on Investigations of the Committee on Government Operations, United States Senate, 90th Congress, First Session, Part I. Washington, D.C.: U.S. Government Printing Office.Google Scholar
Rogers, Everett M. and Shoemaker, F. Floyd (1971). Communication of Innovations: A Cross-cultural Approach. 2nd ed. New York: Free Press.Google Scholar
Ross, Mark H. and Homer, Elizabeth L. (1976). “Galton's Problem in Cross-national Research.” World Politics 29:128.CrossRefGoogle Scholar
Sears, David O. and McConahay, John B. (1973). The Politics of Violence: The New Urban Blacks and the Watts Riot. Boston: Houghton Mifflin.Google Scholar
Siverson, Randolph M. and Duncan, George T. (1976). “Stochastic Models of International Alliance Initiation, 1885–1965.” In Zinnes, Dina A. and Gillespie, John V. (eds.), Mathematical Models in International Relations. New York: Praeger.Google Scholar
Spilerman, Seymour (1970). “The Causes of Racial Disturbances: A Comparison of Alternative Explanations.” American Sociological Review 35:627–49.Google Scholar
Spilerman, Seymour (1971). “The Causes of Racial Disturbances: Tests of an Explanation.” American Sociological Review 36:427–42.Google Scholar
Spilerman, Seymour (1972). “Comment: Strategic Considerations in Analyzing the Distribution of Racial Disturbances.” American Sociological Review 37:493–99.Google Scholar
Spilerman, Seymour (1976). “Structural Characteristics of Cities and the Severity of Racial Disorders.” American Sociological Review 41:771–93.Google Scholar
Tintner, Gerhard and Sengupta, Jati K. (1972). Stochastic Economics: Stochastic Processes, Control, and Programming. New York: Academic Press.Google Scholar
Walker, Jack L. (1969). “The Diffusion of Innovations among the American States.” American Political Science Review 63:880–99.Google Scholar
Wanderer, Jules J. (1969). “An Index of Riot Severity and Some Correlates.” American Journal of Sociology 74:500–05.Google Scholar
Wheeler, Ladd (1968). “Behavioral Contagion: Theory and Research.” In Simmel, Edward C., Hoppe, Ronald A. and Milton, G. Alexander (eds.), Social Facilitation and Imitative Behavior. Boston: Allyn and Bacon.Google Scholar