1. Introduction
There is widespread agreement that inhalation by humans of particulate matter that is smaller than 2.5 μm in diameter (PM2.5) is detrimental to cardiopulmonary health and life expectancy (e.g., Brunekreef 1997; Coyle et al. 2003; Jerrett 2005; Pope et al. 2009). This is because small particles can travel deep inside lungs where they can get trapped and even diffuse into the bloodstream, thereby causing physical or chemical damage. While extreme exposures arising from events such as forest fires, dust storms, and volcanoes can be catastrophic, protracted exposure of millions of people to PM2.5 produced by industrial activity is thought to be the greater, and financially most costly, threat to human health (e.g., Mokdad et al. 2004).
Results reported here stem from an investigation into PM2.5 measurements made in the vicinity of Hamilton, Ontario, Canada, by sensors maintained by Ontario’s Ministry of the Environment (MoE). The motivation behind this study was the author’s perception that air in the west end of Hamilton seemed to be anomalously clean during the spring and early summer of 2009 while the region was experiencing east winds off Lake Ontario but that by midsummer the anomaly had ended. The first half of 2009 saw the depths of the “global economic crisis,” with associated reductions in industrial output in both Canada and the United States (see online at http://www.tradingeconomics.com/canada/industrial-production and http://www.oecd.org). Hence, the purpose of the study was twofold: 1) to isolate and quantify PM2.5 output from the industrial sectors located in the northeast corner of Hamilton and 2) to quantify changes in industrial sector–produced PM2.5 during the spring and early summer of 2009 relative to the same period in other years, thereby taking advantage of the fortuitous, large-scale experiment resulting from economic changes.
During east-wind conditions, air incident at the Burlington air-monitoring site (hereinafter referred to as B), which is located on the west shore of Lake Ontario, has had an extended stretch across Lake Ontario, which lacks sources of PM2.5. Conversely, the Hamilton-Downtown air-monitoring site (hereinafter referred to as HD) is ~5 km inland from Lake Ontario and ~6 km southwest of B. Land use between HD and Lake Ontario consists almost entirely of very heavy industry plus a major highway. If it can be demonstrated that contributions of PM2.5 from a highway ~5 km away are negligible, differences between PM2.5 at HD and B, during persistent east-wind conditions, should be a good approximation of the contribution of local heavy industry to HD’s PM2.5. By the same token, reversing the difference and screening for persistent south winds should isolate the contribution of industrial-sector PM2.5 to B.
The following section documents the PM2.5 and meteorological data used. The third section addresses some issues about tests for statistically significance differences. The final two sections present results and a short summary.
2. Data
Ontario’s MoE maintains numerous air-monitoring stations across southern Ontario; many have recorded hourly PM2.5 (μg m−3, to the nearest whole number) since 2003. Quality controlled data are freely available online (http://www.airqualityontario.com/history/). Ontario uses Thermo Scientific (Thermo Fisher Scientific, Inc.) tapered-element oscillating-microbalance (TEOM 1400ab) sensors at all stations (Ontario Ministry of the Environment 2012). For this study, data were used from HD (43.26°N, 79.86°W; elevation = 90 m MSL), Hamilton-West (43.26°N, 79.91°W; elevation = 96 m MSL; hereinafter referred to as HW), and B (43.31°N, 79.80°W; elevation = 78 m MSL). Figure 1 shows their locations. Wind directions were obtained from hourly meteorological data reported at Environment Canada’s Burlington automated site (43.3°N, 79.8°W; elevation = 78 m).1 They are reported starting at 10° east of north and increasing clockwise in 10° increments; zero corresponds to calm conditions, and 360° corresponds to a north wind. To admit an hourly value of PM2.5, wind had to be coming from a designated sector for the hours immediately before and after the central hour (i.e., a persistent wind for at least three consecutive hours) and the central hour had to have a valid measure of PM2.5. Data for the period from 1 January 2003 to 31 December 2010 were considered.

Maps showing locations of air quality sites (in italics) in relation to Hamilton’s industrial sectors. Orange lines indicate the approximate position of the Niagara Escarpment. The yellow line indicates the QEW.
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1

Maps showing locations of air quality sites (in italics) in relation to Hamilton’s industrial sectors. Orange lines indicate the approximate position of the Niagara Escarpment. The yellow line indicates the QEW.
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1
Maps showing locations of air quality sites (in italics) in relation to Hamilton’s industrial sectors. Orange lines indicate the approximate position of the Niagara Escarpment. The yellow line indicates the QEW.
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1
3. Statistical tests and measurement uncertainty
One of the main intentions was to compare 2009 values of PM2.5, grouped by month, with values in the collection of years from 2003 to 2008 plus 2010. The obvious approach is to define a null hypothesis H0 and to proceed to apply an appropriate statistical test that guides one to either accept or reject H0 at some confidence level (CL). An immediate question is whether measurements taken in a particular month for years from 2003 to 2008 plus 2010 can be considered to be drawn from a single population? For this study, if a time series of monthly-mean PM2.5 between 2003 and 2010 and omitting 2009 exhibited a linear trend that differed insignificantly from zero at the 95% CL, it was assumed that all measurements taken in a particular month for years from 2003 to 2008 plus 2010 can be considered to have been drawn from a single population and are therefore suitable for comparison with the sample drawn from the 2009 population. If, however, the trend was significant at the 95% CL then that month was omitted from further analyses.
Significant trends in monthly-mean PM2.5 between 2003 and 2010 were identified by performing linear least squares regressions on monthly means, with the number of hourly samples per month as weights, using the bootstrap method with 1000 synthetic samples (e.g., Efron 1979; Press et al. 1992). Since our concern was whether 2009 values differed from other years, 2009 values were not used in the regressions. If 95% of the 1000 computed slopes were either all greater than or all less than zero, the trend was deemed to be significantly positive or negative, respectively. Those months that exhibited a significant trend were not analyzed further.
Another potential issue is that uncertainties associated with hourly measurements of PM2.5 are notoriously difficult to quantify and can be large (J. Brook and E. Weick 2011, personal communication); reported estimates of random fractional uncertainty for hourly measurements of PM2.5 are as large as ~30% (e.g., Hains et al. 2007), although Thermo Scientific maintains that for ideal conditions the TEOM 1400ab is accurate to 1.5 μg m−3 for hourly averages (additional details pertaining to the TEOM 1400ab are available online at http://www.thermoscientific.com/ecomm/servlet/productsdetail_11152___11960558_-1). One would prefer to test H0 for actual populations rather than with measurements that come with possibly substantial amounts of (unknown) uncertainty. The concern with measurement noise is that it may be fostering type-II errors: that is, failure to reject a false H0 because of the experiment being flooded by measurement uncertainty or error. On the other hand, if H0 can be rejected at some CL, then it is of little concern that measurement uncertainty is likely augmenting sampling noise, because reducing measurement uncertainty would allow one to reject H0 with increasing confidence.
Nevertheless, assuming that H0 can be rejected at some CL while using measured data, it is interesting to ask the question, How robust is the rejection of H0? A procedure is offered here that should help to answer it. The idea is to augment hourly PM2.5 measurements with unbiased noise until H0 can no longer be rejected.













The maximum value of φ considered here was 0.5. Hence, if φ* = 0.5, it means that H0 was still able to be rejected at the 100(1 − α)% CL even after adding 50% random Gaussian noise to the measurements. The larger φ* is, the more robust is the rejection of H0 using measured values. This procedure is not limited to the t test. Results are presented here for the t test and for the Kolmogorov–Smirnov (KS) test for cumulative frequency distributions.
4. Method






The influence of the QEW can be deduced by looking at HW data (see Fig. 1). During west-northwest winds (from 270° to 300°) the upwind land usages, and thus PM2.5 sources, are very similar for B and HW save for the fact that the QEW is now only ~1 km west of B and well downwind of HW. So if the QEW has a discernible impact on PM2.5 it should show up at B during west-northwest winds.
Figure 2 shows that during west-northwest winds B and HW exhibited nearly identical monthly-mean PM2.5 values for both 2009 and other years. On average, B exceeds HW by only ~0.5 μg m−3. Moreover, for the t test and KS test, months with differences between 2009 and other years that were insignificant at the 95% CL were almost common for the two sites. This suggests strongly that the QEW’s contribution of PM2.5 to a site just 1 km downwind is minor. As such, values of

Lines represent monthly-mean values of hourly PM2.5 (μg m−3) as functions of month during the periods from 2003 to 2008 plus 2010 (solid lines) and for 2009 only (dashed lines). These results pertain just to west-northwest wind conditions (270°–300°). The right vertical axis applies to the symbols and indicates the minimum relative random error, φ* in Eq. (4), that had to be added to hourly PM2.5 values for 2009 samples to be indistinguishable, at the 95% CL, from samples for other years. Shaded squares correspond to the t test (monthly means), and dots correspond to the KS test (cumulative frequency distributions). For example, for Hamilton-West the mean for January 2009 can be considered to be significantly larger than other January values provided that the added relative noise is less than 16%. For July, however, means differ even after adding 50% relative noise. Upward- (downward-) facing arrows indicate an increasing (decreasing) trend in monthly means from 2003 to 2010 significant at the 95% CL. Note that statistical tests were not performed for those months with a significant trend. For this wind sector there were no admissible data for June 2009.
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1

Lines represent monthly-mean values of hourly PM2.5 (μg m−3) as functions of month during the periods from 2003 to 2008 plus 2010 (solid lines) and for 2009 only (dashed lines). These results pertain just to west-northwest wind conditions (270°–300°). The right vertical axis applies to the symbols and indicates the minimum relative random error, φ* in Eq. (4), that had to be added to hourly PM2.5 values for 2009 samples to be indistinguishable, at the 95% CL, from samples for other years. Shaded squares correspond to the t test (monthly means), and dots correspond to the KS test (cumulative frequency distributions). For example, for Hamilton-West the mean for January 2009 can be considered to be significantly larger than other January values provided that the added relative noise is less than 16%. For July, however, means differ even after adding 50% relative noise. Upward- (downward-) facing arrows indicate an increasing (decreasing) trend in monthly means from 2003 to 2010 significant at the 95% CL. Note that statistical tests were not performed for those months with a significant trend. For this wind sector there were no admissible data for June 2009.
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1
Lines represent monthly-mean values of hourly PM2.5 (μg m−3) as functions of month during the periods from 2003 to 2008 plus 2010 (solid lines) and for 2009 only (dashed lines). These results pertain just to west-northwest wind conditions (270°–300°). The right vertical axis applies to the symbols and indicates the minimum relative random error, φ* in Eq. (4), that had to be added to hourly PM2.5 values for 2009 samples to be indistinguishable, at the 95% CL, from samples for other years. Shaded squares correspond to the t test (monthly means), and dots correspond to the KS test (cumulative frequency distributions). For example, for Hamilton-West the mean for January 2009 can be considered to be significantly larger than other January values provided that the added relative noise is less than 16%. For July, however, means differ even after adding 50% relative noise. Upward- (downward-) facing arrows indicate an increasing (decreasing) trend in monthly means from 2003 to 2010 significant at the 95% CL. Note that statistical tests were not performed for those months with a significant trend. For this wind sector there were no admissible data for June 2009.
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1
5. Results
First, before we discuss

As in Fig. 2, but shown are monthly-mean PM2.5 values for the HD and B sites given east winds (45°–135°).
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1

As in Fig. 2, but shown are monthly-mean PM2.5 values for the HD and B sites given east winds (45°–135°).
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1
As in Fig. 2, but shown are monthly-mean PM2.5 values for the HD and B sites given east winds (45°–135°).
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1
Application of Eq. (5) during east winds led to 429 values of

As in Fig. 3, but for the contribution to HD’s PM2.5 from the industrial sectors (see Fig. 1),
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1

As in Fig. 3, but for the contribution to HD’s PM2.5 from the industrial sectors (see Fig. 1),
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1
As in Fig. 3, but for the contribution to HD’s PM2.5 from the industrial sectors (see Fig. 1),
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1
As indicated in Fig. 4, only April experienced a significant trend over the period 2003–10; Fig. 5 shows cumulative distributions of bootstrap linear regression slopes. Because April’s trend was upward, and 2009’s value was overly small, an exception was made and statistical tests were performed for April, the results of which indicate that reductions in 2009 were easily significant at the 95% CL. The other spring months of 2009 (March, May, and June) also saw sizable reductions in

Cumulative distributions of bootstrap linear regression slopes as a function of month for monthly-mean
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1

Cumulative distributions of bootstrap linear regression slopes as a function of month for monthly-mean
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1
Cumulative distributions of bootstrap linear regression slopes as a function of month for monthly-mean
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1
Figure 6 shows that underlying distributions of

Frequency distributions of hourly
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1

Frequency distributions of hourly
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1
Frequency distributions of hourly
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1












As in Fig. 4, but for the contribution to B’s PM2.5 from the industrial sectors (see Fig. 1),
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1

As in Fig. 4, but for the contribution to B’s PM2.5 from the industrial sectors (see Fig. 1),
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1
As in Fig. 4, but for the contribution to B’s PM2.5 from the industrial sectors (see Fig. 1),
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1
The small values of
On the other hand, it is possible that the major sources of PM2.5 within the industrial sector are aligned in a narrow (i.e., <1 km wide) east–west band, resulting in heavy concentrations within a fairly narrow band through Hamilton during east winds. Conversely, assuming this is the case, during south winds the same sources would be aligned perpendicular to the wind and spread over 2–3 km, thereby resulting in lower concentrations with which to begin. In this scenario, it would then be that
As a final point, Fig. 8 shows mean values of

Collective mean values of
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1

Collective mean values of
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1
Collective mean values of
Citation: Journal of Applied Meteorology and Climatology 52, 3; 10.1175/JAMC-D-12-0163.1
6. Conclusions
Because of the positioning of air quality monitoring stations in and around Hamilton, it is appears possible to extract estimates of PM2.5 resulting from emissions from Hamilton’s north-end industrial sectors. Between Lake Ontario and air quality monitoring stations located within the city of Hamilton lie steel mills that are known to be dominant sources of air pollution. Nearby, on the west coast of Lake Ontario, lies the Burlington air quality site (see Fig. 1). Hence, by taking the difference of Hamilton and Burlington values of PM2.5 during east winds, the remainders provide estimates of the industrial sectors’ contribution to Hamilton’s PM2.5.
When winds at the west end of Lake Ontario have a strong easterly component, PM2.5 values in downtown Hamilton are, on average, approximately 2 times those of nearby Burlington (see Fig. 3). Since the industrial sectors are almost all that lie between Hamilton’s downtown and Lake Ontario, the argument is that their emissions are largely responsible for Hamilton’s enhancement of PM2.5 over those in Burlington. During spring and early summer, when land–sea breezes are common in this area, the contribution from the heavy industrial sectors to downtown Hamilton’s PM2.5 was typically 7–10 μg m−3 (see Figs. 3 and 4), roughly the same as that coming in off the lake and thus raising PM2.5 values in Hamilton’s downtown core to 2 times the regional background. During the global economic crisis of 2009, however, when steel production was attenuated greatly, the apparent contribution of heavy industry to Hamilton’s PM2.5 was much reduced and, on average, only exceeded Burlington’s values by about 3–5 μg m−3.
In turn, by screening for south winds rather than east winds, it should be possible to identify the industrial sectors’ contribution to Burlington’s PM2.5. Despite Burlington’s and downtown Hamilton’s air quality stations being approximately equidistant from the industrial sectors, however, Burlington receives approximately a factor of 2–3 less PM2.5 from the industrial sectors than does downtown Hamilton. This could be due to complicated circulation patterns in and around the west end of Lake Ontario. It might also stem from an east–west alignment of sources within the industrial sectors that leads to an accumulation of pollutants during (parallel) east winds yet during (perpendicular) south winds gives pollutant dispersion, effectively, a jump-start.
With an assumption that industrial activity is independent of wind direction, it might be possible to carefully extrapolate the results of this cursory study to estimate annual contributions of PM2.5 from Hamilton’s industrial sectors. It might then be possible to correlate local industrial contributions of PM2.5 with hospitalization records and thus arrive at, with the aid of the 2009 anomaly, an estimate of the public-health cost of respiratory-related treatments as a direct result of local sources of PM2.5 (and other collateral chemicals). Going a step further, it might also be possible to deduce whether specific industrial contributions of PM2.5 play a role in modulating local stratiform and cumuliform precipitation patterns (Li et al. 2011).
Acknowledgments
Thanks are given to Jeff Brook of Environment Canada for helpful discussions and to Tony Munoz and Yushan Su of Ontario’s MoE for data and documentation.
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Hamilton’s airport also reports weather conditions, but it was deemed to be less representative than the Burlington site given that it is ~10 km south of HD at an elevation of 238 m MSL.
The reductions reported here for 2009 are in accord with a report from the government of Ontario (Ontario Ministry of the Environment 2012) that indicates that 94% of Ontario’s air quality sites registered their smallest annual-mean PM2.5 in 2009.