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Outdoor Lighting and Crime - Amper

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proportional to the amount of outdoor artificial ambient light per person. This variable is<br />

mentioned again in Section 5.2.<br />

It seems unlikely that the picture presented by these correlations would change much in either<br />

direction if data for more of the whole century became available. By inspection, Garstang’s<br />

population-based California skyglow growth data would appear likely to give correlation<br />

coefficients with crime similar to those for the population. Garstang’s data were not included<br />

in the figures or in Table 1 because the observational evidence for exponential growth is so<br />

strong.<br />

Hays (1970, p 565) stated, “There is no guarantee that all psychological relationships of<br />

theoretical or applied interest must be linear in form.” The logarithm of light flux might be a<br />

more suitable variable to investigate for linear correlation, given that the visual system tends<br />

to respond to light in a logarithmic fashion, <strong>and</strong> given the apparent exponential nature of<br />

existing growth in artificial skyglow. Hays (1970, p 563) indicated that using the logarithm<br />

of an exponential quantity in this way is appropriate. The correlation coefficients of the<br />

various crime <strong>and</strong> justice data, <strong>and</strong> population, with log skyglow are therefore included in<br />

Table 1. Simple counts indicate that these log skyglow correlation coefficients with crime<br />

<strong>and</strong> justice data are most often the highest values across the three columns. The small<br />

numbers <strong>and</strong> partly overlapping data sets deter a formal significance test but future work<br />

might be better organised to deal with this issue. Not surprisingly, population correlates<br />

better with log skyglow than with skyglow in 4 of the 5 cases in Table 1.<br />

A further caution seems worthwhile about the relative amounts of crime in the countries<br />

studied. The crime data are from police records. <strong>Crime</strong> surveys in 14 countries indicated<br />

rather different relativities, <strong>and</strong> also revealed a latitude effect- colder countries tended to have<br />

lower crime rates (Walker, Wilson, Chappell <strong>and</strong> Weatherburn 1990). However, it is the rate<br />

<strong>and</strong> direction of change of crime, <strong>and</strong> of artificial lighting, with time that are of most interest<br />

here, rather than the absolute scales of crime <strong>and</strong> lighting.<br />

It might seem rather naïve to expect total crime to correlate strongly with lighting, given that<br />

crime was problem long before bright lighting became widely available or used 23 (eg Sharpe<br />

2002). Therefore, it might appear more reasonable to use the increment in crime above some<br />

pre-lighting base crime rate as a variable in looking for lighting <strong>and</strong> crime correlations.<br />

Subtracting a constant base rate from any of the crime data does not change linear correlation<br />

coefficients, however. Likewise, it is almost immaterial in this context whether total skyglow<br />

or just its artificial component is used. The correlations shown in the table are a reasonable<br />

guide as they st<strong>and</strong>. The squares of the correlation coefficients have been included to indicate<br />

the proportions of variance in crime <strong>and</strong> justice data explained by skyglow <strong>and</strong> population.<br />

Correlation studies rate a mere 1 on the Scientific Methods Score used by Sherman,<br />

Gottfredson, MacKenzie, Eck, Reuter <strong>and</strong> Bushway (1997), but that is in the context of<br />

experimental hypothesis testing rather than exploratory analysis of complex systems. The<br />

correlation studies used here are quite appropriate for guiding hypothesis formulation.<br />

23 For example, the initial part of European settlement of Australia from 1788 was primarily a<br />

result of transportation of a copious supply of British convicts. (Among the reasons for doing<br />

so at the time, it was thought to be a suitable alternative to execution!)<br />

16

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