HIGHLIGHTS ■■ Month-to-month changes in crime are normal. ■■ Even during decreasing crime trends—as with homicide over the past decade—many months will show increases (followed by other months with decreases). ■■ Trends can only be identified using data compiled over time; single months compared to the prior month or the prior year are insufficient to identify a trend. Brief March 2011 No. 10 The Volatility of Monthly Crime BY Akiva Liberman and Meagan Cahill The views expressed are those of the authors and should not be attributed to the District of Columbia Crime Policy Institute, the Urban Institute, the Brookings Institution, their trustees, or their funders.1 I n recent years, the overall trends in crime in the District have been down. Yet, news accounts often report surges in crime. Monthly burglary, robbery, and homicide are volatile and can go up even during a long-term downward trend. Does an increase in crime in a given month—compared with last month or last year—suggest that crime is on the increase? The key to reconciling short-term changes in crime with longer-term trends is to understand the volatility of crime. In this brief, we explore this issue by examining monthly changes in crime during the past decade against the background of longer trends. Figure 1. Homicide 35 Homicide 30 Yearly Avg. 25 20 15 10 5 0 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 Homicide Figure 1 shows the number of homicides in the District of Columbia over the past decade, which declined considerably. But the numbers swing wildly from month to month. From January 20012 through December 2010, 82 percent of months showed a swing in homicides—in one direction or the other—of at least 10 percent from the previous month. In most months, homicide changed by at least 25 percent (see table 1). Table 1. Homicide Of course, increases in homicide generate the most concern and news coverage. Homicide increased by at least 10 percent in over a third of months (39 percent), and increased by at least 25 percent in 27 percent of months.3 Therefore, news BRIEF: The Volatility of Monthly Crime Table 2. Robbery and Burglary: Change from the Preceding Month reports about homicide could have accurately reported large increases in monthly homicide more than a quarter of the time. Yet, such reports could be deeply misleading against the large overall decline in homicide. With an average of 16 homicides per month over this period, just a few additional homicides generate large percentage changes. Robbery and Burglary One key reason for the volatility of homicide is its rarity. Increases in robbery or burglary also prompt considerable concern and media attention. (Robbery is the taking of property from a person by force or the threat of force, while burglary is the taking of property from a residence.) At the yearly level, robbery was fairly stable over the past decade, while burglary declined somewhat (figure 2). Figure 2. Robbery and Burglary 500 400 300 200 Robbery 100 Yearly Avg. 0 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 600 Burglary 500 Yearly Avg. 400 Both robbery and burglary are around 20 times as common as homicide, with average monthly reports of 340 robberies and 349 burglaries. As a result, they are considerably more stable than homicide. But they still show considerable volatility (table 2). For both crimes, changes of at least 10 percent occurred in about half of months, and changes of at least 25 percent in about 10 percent of months. Increases of at least 10 percent occurred in about 30 percent of months. Increases of at least 25 percent occurred in robbery in 3 percent of months, and in burglary in 7 percent of months. Same Month, Last Year 300 200 100 0 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 Is the apparent volatility in month-to-month crime an artifact of a yearly cycle? Figure 2 seems to show yearly cycles of increases and decreases in robbery and burglary. Are months more stable when compared to the same month in the previous year? Surprisingly, no. Comparing each month’s robbery or burglary with the same month in the previous year finds as much instability as comparisons to the previous month. Details are as shown Page 2 of 3 BRIEF: The Volatility of Monthly Crime Table 3. Change from Same Month, Previous Year in table 3.4 How can these results be reconciled with the yearly cycles visually apparent in the graphs? The answer is that the monthly timing of that cycle varies across years. For example, in 2000, 2001, and 2002, robbery peaked around the New Year, while in 2005, 2007, and 2008, robbery peaked months earlier. Conclusion Why is monthly crime so volatile? Largely, because each crime is relatively rare. A slight change in the timing of offending—which can be prompted by something as innocuous as good weather—can lead crime to rise one month and fall the next. As a general rule, the rarer a crime, the more it fluctuates month to month. Therefore, homicide is much more volatile than robbery or burglary. Similarly, monthly crime numbers in smaller areas, such as Wards or Police Districts, are much more volatile than for the District as a whole. Another reason is that crime is part of a dynamic interplay between offenders on the one side, and law enforcement and alert citizens on the other. Spikes in particular crimes are met with increased vigilance and law enforcement efforts to interrupt and prevent long-term increases. When successful, these responses to crime surges prevent them from turning into longer-term trends. When is a monthly surge a leading indicator of a longerterm crime increase? Only occasionally. Usually, short-term changes do not become long-term trends. Unfortunately, we simply cannot tell in advance. Data used in this report were provided to DCPI by the Research and Analysis Bureau of the Metropolitan Police Department and were independently processed and analyzed by the authors. 1­ In this brief, we examine monthly changes starting in January 2001. We compare each month to the prior month, and also to the same month in the previous year (see table 3). We graph months from one year earlier, starting in January 2000. 2 3 Decreases in homicide, by at least 10 and 25 percent, are the volatility number minus the number of increases. 4 This is also true for homicide, which does not show as apparent a yearly cycle. Page 3 of 3