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cjb174.pdfcjb174 
 AuthorWai-Yin Wan, Steve Moffatt, Zachary Xie, Simon Corben and Don Weatherburn 
 PublishedOctober 2013 
 Report typeCrime and Justice Bulletin No. 174 
 SubjectBail / Remand, Prisons and prisoners, Sentencing, Statistical methods and modelling 
 Keywordsprison population forecast, ARIMAX model, remand population, sentenced prisoner population, seasonal effects, simulation model 
  
 

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Summary

Aim

Aim
To develop a method for forecasting the NSW remand and sentenced prisoner populations.

Method

Method
Autoregressive Integrated Moving Average (ARIMA) models with other time series as input variables were employed to estimate and forecast changes in the remand and sentenced prisoner populations. Models were tested by estimating model parameters over the period January 1998 – December 2010 and then comparing model forecasts with actual prison population trends over the period January 2011 – March 2013. Comparison of actual with forecast remand and sentenced prisoner numbers revealed that both models provide fairly reliable predictions of prison population trends over a three year time horizon.

Results

Results
Barring any significant change to policing and penal policy, the prison population is expected to rise in the first half of 2013 and then to drop steadily over the next three years. Although modelling suggests an uptrend in the remand prisoner population, this should be more than offset by a decrease in the sentenced prisoner population over the next thirty-three months.

Conclusion

Conclusion
Although the models developed here provide accurate forecasts in retrospective testing, they should not be used as the sole basis for projecting future prison numbers. Future projections of prisoner numbers should also be based on advice from correctional administrators, police prosecutors, legal policy analysts, and others on the likely effects of any proposed change to policing, bail or sentence policy. Construction of a simulation model may help in quantifying the effects of these changes.

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