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Prison population growth and crime reduction

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Abstract

The impact of state prison populations on crime is typically estimated by applying the lambda, the individual crime rate, of prisoners or arrestees. We outline the problems with this approach, attempt to reanalyze the widely divergent lambdas derived in past research, and make adjustments necessary to use lambdas for estimating the incapacitation impact. The result is an uncertain estimate of 16 to 25 index crimes averted per year per each additional prisoner. We argue that regression analysis can provide a better estimate of the impact of prison population growth. Applying the Granger test to pooled state data over 19 years, we found that prison population growth leads to lower crime rates but that crime rate changes have little or no short-term impact on prison population growth. Next we regressed crime rates on prison population and conclude that, on average, at least 17 index crimes are averted per additional prisoner. The impact is limited mainly to property crime.

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References

  • Bastian, L. D. (1992).Criminal Victimizations, 1991, U.S. Department of Justice, Washington, DC.

    Google Scholar 

  • Beck, A. J. (1989).Recidivism of Prisoners Released in 1983. U.S. Department of Justice, Washington, DC.

    Google Scholar 

  • Berk, R. A., Messinger, S. L., Rauma, D., and Berecochea, J. E. (1983). Prisons as self-regulating systems: A comparison of historical patterns in California for male and female offenders.Law Soc. Rev. 17: 547–586.

    Google Scholar 

  • Blumstein, A., and Cohen, J. (1973). A theory of the stability of punishment.J. Crim. Law Criminol. 64: 198–207.

    Google Scholar 

  • Blumstein, A., and Cohen, J. (1979). Estimation of individual crime rates from arrest records.J. Crim. Law Criminol. 70: 561–585.

    Google Scholar 

  • Blumstein, A., and Cohen, J. (1987). Characterizing criminal careers.Science 237: 985–991.

    Google Scholar 

  • Blumstein, A., Cohen, J., and Nagin, D. (eds.) (1978).Deterrence and Incapacitation: Estimating the Effects of Criminal Sanctions on the Crime Rates, National Academy Press, Washington, DC.

    Google Scholar 

  • Blumstein, A., Cohen, J., Roth, J. A., and Visher, C. A. (eds.) (1986).Criminal Careers and “Career Criminals,ℍ Vol I, National Academy Press, Washington, DC.

    Google Scholar 

  • Blumstein, A., Cohen, J., and Visher, C. A. (1988). Linking the crime and arrest process to measure individual crime rates: Variations in individual arrest risk per crime (unpublished paper).

  • Blumstein, A., Cohen, J., and Rosenfeld, R. (1991). Trend and deviation in crime rates: A comparison of UCR and NCS data for burglary and robbery.Criminology 29: 237–263.

    Google Scholar 

  • Bowker, L. H. (1981). Crime and the use of prisons in the United States: A time series analysis.Crime Delinq. 27: 206–212.

    Google Scholar 

  • Bureau of Justice Statistics (1986).State and Federal Prisoners 1925–85, U.S. Department of Justice, Washington, DC.

    Google Scholar 

  • Bureau of Justice Statistics (1991).Criminal Victimization in the United States, 1989, U.S. Department of Justice, Washington, DC.

    Google Scholar 

  • Bureau of Justice Statistics (1992a).Correctional Populations in the United States, 1990, U.S. Department of Justice, Washington, DC.

    Google Scholar 

  • Bureau of Justice Statistics (1992b).National Corrections Reporting Program, 1986, U.S. Department of Justice, Washington, DC.

    Google Scholar 

  • Campbell, D. T., and Stanley, J. C. (1966).Experimental and Quasi-Experimental Designs for Research, Houghton Mifflin, Boston, MA.

    Google Scholar 

  • Chaiken, J. M., and Chaiken, M. (1982).Varieties of Criminal Behavior, Rand Corp., Santa Monica, CA.

    Google Scholar 

  • Chamlin, M. B., and Kennedy, M. B. (1991). The impact of the Wilson administration on economic crime rates.J. Quant. Criminol. 7: 357–372.

    Google Scholar 

  • Chappell, C. L., and Sykes, G. (1991). Prison commitments, crime, and unemployment: A theoretical and empirical specification for the United States, 1933–1985.J. Quant. Criminol. 7: 155–200.

    Google Scholar 

  • Cohen, J. (1983). Incapacitation as a strategy for crime control: Possibilities and pitfalls. In Tonry, M., and Morris, N. (eds.),Crime and Justice: An Annual Review of Research, Vol 5, University Chicago Press, Chicago, IL.

    Google Scholar 

  • Cohen, J. (1986). Research on criminal careers: Individual frequency rates and offense seriousness. In Blumstein, A., Cohen, J., Roth, J. A., and Visher, C. A. (eds.),Criminal Careers and “Career Criminals,ℍ Vol. I, National Academy Press, Washington, DC.

    Google Scholar 

  • Cohen, J., and Canela-Cacho, J. (1993).Incarceration and Violent Crime: 1965–1988, H. John Heinz III School of Public Policy and Management, Pittsburgh, PA.

    Google Scholar 

  • Cook, P. (1982). Research in criminal deterrence: Laying the groundwork for the second decade. In Tonry, M., and Morris, N. (eds.),Crime and Justice, an Annual Review of Research, Vol. 2, University of Chicago Press, Chicago, IL.

    Google Scholar 

  • Devine, J. A., Sheley, J. F., and Smith, M. D. (1988). Macroeconomic and social-control policy influences on crime rate changes, 1948–1985.Am. Sociol. Rev. 51: 407–421.

    Google Scholar 

  • Dickey, D. A. and Fuller, W. A. (1979). Distribution of the estimators for autoregressive time-series with a unit root.J. Am. Stat. Assoc. 74: 427–431.

    Google Scholar 

  • Ekland-Olson, S., Kelly, W. R., and Eisenberg, M. (1992). Crime and incarceration: Some comparative findings from the 1980s.Crime Delinq. 38: 392–416.

    Google Scholar 

  • Engle, R. F., and Granger, C. W. J. (1987). Co-integration and error correction: Representation, estimation, and testing.Econometrica 55: 251–276.

    Google Scholar 

  • English, K., and Mande, M. J. (1992).Measuring Crime Rates of Prisoners, Colorado Department of Public Safety, Denver.

    Google Scholar 

  • Federal Bureau of Investigation (1972–1992).Uniform Crime Reports, Crime in the United States, U.S. Government Printing Office, Washington, DC.

    Google Scholar 

  • Feeley, M. M., and Simon, J. (1992). The new penology: Notes on the emerging strategy of corrections and its implications.Criminology 30: 449–474.

    Google Scholar 

  • Fisher, F. M., and Nagin, D. (1978). On the feasibility of identifying the crime function in a simultaneous model of crime rates and sanction levels. In Blumstein, A., Cohen, J., and Nagin, D. (eds.),Deterrence and Incapacitation: Estimating the Effects of Criminal Sanctions on Crime Rates, National Academy Press, Washington, DC.

    Google Scholar 

  • Gibbs, J. P., and Firebaugh, G. (1990). The artifact issue in deterrence research.Criminology 28: 347–367.

    Google Scholar 

  • Gilliard, D. K. (1993).Prisoners in 1992., U.S. Department of Justice, Washington, DC.

    Google Scholar 

  • Gove, W. R., Hughes, M., and Geerken, M. (1985). Are uniform crime reports a valid indicator of index crimes? An affirmative answer with minor qualifications.Criminology 23: 451–501.

    Google Scholar 

  • Granger, C. W. J. (1969). Investigating causal relations by econometric models and cross-spectral methods.Econometrica 37: 424–438.

    Google Scholar 

  • Granger, C. W. J. (1988). Some recent developments in a concept of causality.J. Econometrics 39: 199–211.

    Google Scholar 

  • Granger, C. W. J., and Newbold, P. (1974). Spurious regressions in econometrics.J. Econometrics 26: 1045–1066.

    Google Scholar 

  • Greenberg, D. F. (1975). The incapacitative effects of imprisonment: Some estimates.Law Soc. Rev. 9: 541–580.

    Google Scholar 

  • Greenberg, D. F. (1977). The dynamics of oscillatory punishment processes.J. Crim. Law Criminal. 68: 643–651.

    Google Scholar 

  • Greenberg, D. F. (1990). The cost-benefit analysis of imprisonment.Soc. Just. 17: 49–75.

    Google Scholar 

  • Greenwood, P. W. (1983). Controlling the crime rate through imprisonment. In Wilson, J. (ed.),Crime and Public Policy, ICS Press, San Francisco, CA.

    Google Scholar 

  • Hindelang, M. J., Dunn, C. S., Sutton, L. P., and Aumick, A. L. (1973).Sourcebook of Criminal Justice Statistics, 1973, U.S. Department of Justice, Washington, DC.

    Google Scholar 

  • Horney, J., and Marshall, I. H. (1991). Measuring lambda through self reports.Criminology 29: 471–495.

    Google Scholar 

  • Horney, J., and Marshall, I. H. (1992). An experimental comparison of two self-reported methods for measuring lambda.J. Res. Crime Delinq. 29: 102–121.

    Google Scholar 

  • Hsiao, C. (1986).Analysis of Penal Data. Cambridge University Press, New York.

    Google Scholar 

  • Langan, P. A. (1991). America's soaring prison population.Science 251: 1568–1573.

    Google Scholar 

  • Law Enforcement Assistance Administration (1975).Prisoners in State and Federal Institutions on December 31, 1971, 1972, 1973, 1974, U.S. Goverment Printing Office, Washington, DC.

    Google Scholar 

  • Madalla, G. S. (1988).Introduction to Economics, Macmillan, New York.

    Google Scholar 

  • Markides, K., and Tracy, G. (1976). The effect of the age structure of a stationary population on crime rates.J. Crim. Law Criminol. 67: 351–355.

    Google Scholar 

  • Marvell, T. B., and Moody, C. E. (1991). Age structure and crime rates: The conflicting evidence.J. Quant. Criminol. 7: 237–273.

    Google Scholar 

  • Menard, S. (1992). Residual gains, reliability, and the UCR-NCS relationship: A comment on Blumstein, Cohen, and Rosenfeld.Criminology 30: 105.

    Google Scholar 

  • McGuire, W. J., and Sheehan, R. G. (1983). Relationships between crime rates and incarceration rates: Further analysis.J. Res. Crime Delinq. 20: 73–85.

    Google Scholar 

  • Miranne, A. C., and Geerken, M. R. (1991). The New Orleans inmate survey: A test of Greenwood's predictive scale.Criminology 29: 497–518.

    Google Scholar 

  • Mundlak, Y. (1978). On pooling of time series and cross section data.Econometrica 46: 69- 86.

    Google Scholar 

  • Nagel, W. G. (1977). On behalf of a moratorium on prison construction.Crime Delinq. 23: 154–172.

    Google Scholar 

  • Nagin, D. (1978). General deterrence: A review of the empirical evidence. In Blumstein, A., Cohen, J., and Nagin, D. (eds.),Deterrence and Incapacitation: Estimating the Effects of Criminal Sanctions on Crime Rates, National Academy Press, Washington, DC.

    Google Scholar 

  • Petersilia, J., Greenwood, P. W., and Lavin, M. (1977).Criminal Careers of Habitual Felons, Rand Corp., Santa Monica, CA.

    Google Scholar 

  • Peterson, M. A., and Braiker, H. B. (1980).Doing Crime: A Survey of California Prison Inmates, Rand Corp., Santa Monica, CA.

    Google Scholar 

  • Pindyck, R. S., and Rubinfeld, D. L., (1991).Econometric Models and Economic Forecasts, McGraw-Hill, New York.

    Google Scholar 

  • Reiss, A. J. (1988). Co-offending influences on criminal careers. In Tonry, M., and Morris, N. (eds.),Crime and Justice: An Annual Review of Research, Vol. 10, University Chicago Press, Chicago, IL.

    Google Scholar 

  • Reiss, A. J., and Farrington, D. P. (1991). Advancing knowledge about co-offending: Results from a prospective longitudinal survey of London males.J. Crim. Law Criminol. 82: 360- 395.

    Google Scholar 

  • Reiss, A. J., and Roth, J. A. (eds.) (1993).Understanding and Preventing Violence, National Academy Press, Washington, DC.

    Google Scholar 

  • Sampson, R. (1986). Crime in cities: The effects of formal and informal social control. In Reiss, A. J., and Tonry, M. (eds.),Communities and Crime, University Chicago Press, Chicago, IL.

    Google Scholar 

  • Sherman, L. W., and Glick, B. D. (1984).The Quality of Police Arrest Statistics, Police Foundation, Washington, DC.

    Google Scholar 

  • Shinnar, S., and Shinnar, R. (1975). The effect of the criminal justice system on the control of crime: A quantitative approach.Law Soc. Rev. 9: 581–611.

    Google Scholar 

  • Shover, N. (1991). Burglary. In Tonry, M., and Morris, N. (eds.),Crime and Justice: An Annual Review of Research, Vol. 14, University Chicago Press, Chicago, IL.

    Google Scholar 

  • Sims, C. A. (1980). Macroeconomics and reality.Econometrica 48: 1–48.

    Google Scholar 

  • Solari, R. (1992).National Judicial Reporting Program, 1988, U.S. Department of Justice, Washington, DC.

    Google Scholar 

  • Spelman, W. (1994),Criminal Incapacitation. Plenum Press, New York.

    Google Scholar 

  • Steffenmeier, D., and Harer, M. D. (1993). Bulging prisons, and aging U.S. population, and the nation's violent crime rate.Fed. Probat. 57 (June); 3–10.

    Google Scholar 

  • Sykes, G. W., Vito, G. F., and McElrath, K. (1987). Jail populations and crime rates: An exploratory analysis.J. Polit. Sci. Admin. 15: 72–77.

    Google Scholar 

  • Visher, C. A. (1986). The Rand inmate survey: A reanalysis. In Blumstein, A., Cohen, J., Roth, J. A., and Visher, C. A. (eds.),Criminal Careers and “Career Criminals,ℍ Vol. II, National Academy Press, Washington, DC.

    Google Scholar 

  • Weis, J. G. (1986). Issues in the measurement of criminal careers. In Blumstein, A., Cohen, J., Roth, J. A., and Visher, C. A. (eds.),Criminal Careers and “Career Criminals,ℍ Vol. II, National Academy Press, Washington, DC.

    Google Scholar 

  • Wolpin, K. I. (1980). A time series-cross section analysis of international variation in crime punishment.Rev. Econ. Stat. 62: 417–423.

    Google Scholar 

  • Zedlewski, E. W. (1987).Making Confinement Decisions, U.S. Department of Justice, Washington, DC.

    Google Scholar 

  • Zedlewski, E. W. (1989). New mathematics of imprisonment: A reply to Zimring and Hawkins.Crime Deling. 35: 169–173.

    Google Scholar 

  • Zimring, F. E., and Hawkins, G. (1988). The new mathematics of imprisonment.Crime Delinq. 34: 425–436.

    Google Scholar 

  • Zimring, F. E., and Hawkins, G. (1991).The Scale of Imprisonment, University of Chicago Press, Chicago, IL.

    Google Scholar 

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Authors and Affiliations

  1. Justec Research, 306 South Henry Street, 23185, Williamsburg, Virginia

    Thomas B. Marvell

  2. Department of Economics, College of William and Mary, 23185, Williamsburg, Virginia

    Carlisle E. Moody Jr.

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  1. Thomas B. Marvell
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Marvell, T.B., Moody, C.E. Prison population growth and crime reduction. J Quant Criminol 10, 109–140 (1994). https://doi.org/10.1007/BF02221155

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