Analysis of Short Term Ozone Measurements for Sensor Scale and Messages
U.S. Environmental Protection Agency
DRAFT
05/06/2016

Low-cost air quality sensors are becoming increasingly available to the public and there is a need to help people
interpret air quality concentrations that are collected and reported in increments as short as one minute.
However, health studies do not support linking 1-minute ozone exposures to adverse health effects. In addition,
the relationship between 1-minute ambient ozone concentrations and ambient concentrations with longer
averaging periods, for which health information is available, is variable. Consequently, the potential health
implications of 1-minute ozone sensor readings are not clear.

Consistent with the available health evidence, the US Environmental Protection Agency's (EPA) existing air
quality standards and tools to interpret air quality (i.e., the national ambient air quality standards (NAAQS) and
the Air Quality Index (AQI), respectively) are based on longer averaging periods. It is not appropriate to directly
compare a 1-minute ozone sensor reading to the level of the ozone NAAQS or to the ozone AQI breakpoints
(both of which are based on 8-hour ozone concentrations). However, it is appropriate to set 1-minute sensor
breakpoints such that, to the extent possible, ozone sensor messages received over a given time period are
consistent with concurrent messaging based on 8-hour average ozone concentrations (e.g., messaging related to
the AQI).

Given the above considerations, to inform the identification of ozone sensor breakpoints and messages, we
investigate the relationship of 1-minute ozone readings to 8-hour averages in order to examine how sensor
readings could relate to the ozone NAAQS and to the ozone AQI categories. The primary objective of this analysis
is to inform the identification of breakpoints for sensor messaging that are based on probabilistic properties
relating to the NAAQS and the AQI, and to the underlying human health considerations. Final breakpoints and the
corresponding messages are outlined in "Interpretation and Communication of Short-term Air Sensor Data: A Pilot
Project," available at http://bit.lv/SensorScalePilot.

Ozone Data

Ozone data utilized were from four Village Green Benches in DC, KS, PA, and NC for the period of March 31 to Sept
9, 2015. Federal Reference Monitor data from 14 sites was also utilized. This included sites in the Baltimore area:
Aldino, Essex, Howard University, and Rockville; the Boston area: Lynn and Roxbury; the Denver area: Denver-
Camp and Rocky Flats; New York: CCNY and Riverhead; near San Francisco: Livermore and Santa Rosa; and in
North Carolina: Pittsboro and Rockwell. These sites were chosen because of the data quality and the
representativeness of both high and low ozone areas and the data is quality assured. The ozone season of months
April to September were evaluated for years 2011 to 2013, with the Denver sites also including 2014 data. For all
locations, ozone observations that would be included in an averaged 8-hour block within Daytime hours were
considered. Daytime hours correspond to 7am-ll:59pm, as is consistent with ozone handling for the 2015 ozone
National Ambient Air Quality Standards. There were just under 7.6 million observations across 823 total days,
with approximately 3.3% missing. In order to best mimic real-time values corresponding to readings that the
public might observe, no completeness criterion was implemented for calculation of averages. 1-minute values
were compared with the maximum 8-hour block average in which that 1-minute observation occurred. This was
done in order to mimic the instantaneous reading scenario in which a citizen might check a sensor in order to
make a judgement about their current exposure. It is important to note that the Village Green data, while
equipped with FEM grade monitors, is not maintained as an FEM site. Thus there may be additional uncertainty
associated with the Village Green measurements.

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The time series of 1-minute ozone observations and corresponding maximum 8-hour block average for Village
Green Bench and FRM monitoring station data can be seen in Figure SI in the Supplementary Figures. Figure S2
shows the distribution of 1-minute ozone values for Village Green Bench and FRM monitoring station data for
each of the 18 sites.

Methodology

We consider how the 1-minute observations and the distribution of their corresponding maximum 8-hour block
averages relate to the breakpoints for the AQI categories for "Good", "Moderate", "Unhealthy for Sensitive
Groups", and "Unhealthy". Sensor public messaging will be grouped into corresponding "Low", "Medium", and
"High" categories.

Figure 1: AQI breakpoints and Sensor messaging categories

AQI Categories (8-hr)

Potential Sensor Categories (I -min)

U ppb
*

?? ppb
*



Low Medium

High H



1

Breakpoint probabilities for the messaging categories represent the empirical probability of the maximum 8-hour
block average exceeding specific AQI breakpoints given that the observed 1-minute value falls within a specified
range. The specified ranges correspond to considerations for the possible Low, Medium, and High messaging
categories. The distribution of corresponding maximum 8-hour block averages is examined to determine the
probability that the maximum 8-hour block average exceeds the various AQI breakpoint ranges. These are
conditional probabilities, conditioned on the observance of a given 1-minute value within a specified
Low/Medium/High messaging category. No distributional or modeling assumptions are made about the
underlying characteristics of the data and its corresponding behavior and/or distributional properties. This allows
for a robust, empirical comparison of events that occur relatively infrequently, i.e., in the tails of the distribution,
which is the area of interest for air quality exceedances and public health concerns. Final breakpoints and the
corresponding messages are outlined in "Interpretation and Communication of Short-term Air Sensor Data: A Pilot
Project," available at http://bit.lv/SensorScalePilot. The breakpoint for the "Very High" category while expected
to be a very rare occurrence, would be represented by 1-minute readings which could indicate very high 03
concentrations, or could also indicate a malfunctioning sensor.

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Breakpoint Considerations: Conditional Distributions

"Low" to "Medium" category lower breakpoints 55, 60, 65, and 70ppb were considered along with "Medium" to
"High" category breakpoints of 85, 90, 95, and lOOppb. Thus sixteen sets of possible breakpoint messaging ranges
were explored. The example detailed in the figures and tables is for the possible "Low" range of 0-59ppb with
corresponding "Medium" options 60-84, 60-89, 60-94, and 60-99ppb.

We consider the empirical distribution of the maximum 8-hour block averages given the corresponding 1-minute
observations used in the calculation of the maximum 8-hour block averages. The 8-hour block averages are
considered for 1-minute observations that fall within a specified range under consideration for messaging
breakpoints. Figure 2 shows the distribution of maximum 8-hour block averages for the 1-minute in the ranges
60-84, 60-89, 60-94, and 60-99ppb. The general trend shows that lower 8-hour block averages are associated
with lower 1-minute values. For example it is shown in the top left plot in Figure 2 that for 1-minute observations
in the range 0-59ppb, only 12% of the corresponding 8-hour block averages are above 55ppb and only 1% are
above 70ppb. Analogously, the trend among the higher values is that higher 8-hour block averages are associated
with higher 1-minute values. The bottom right plot in Figure 2 indicates that for 1-minute observations above
lOOppb, 99% of the corresponding 8-hour averages are above 55ppb and 98% are above 70ppb. Each set of
histograms considers a full implementation of possible "Low," "Medium," and "High" breakpoints, where the
"Low" range is 0-59ppb.

Figure 2: Conditional distribution of maximum 8-hour block averages for the possible sensor messaging categories
and the corresponding AQI breakpoints. 0-59ppb is the range considered for the "Low" category. 60-84, 60-89,
60-94, and 60-99ppb are consideration for "Medium", and greater than or equal to 85ppb, 90ppb, 95ppb, and
lOOppb are considered for "High". The vertical blue line indicates 70ppb. Note: While the analysis includes the
full range of data, for display purposes only the x-axis is truncated to lOOppb.

% 8-hr >55ppb -12%
%8-hr>70ppb~1%
% 8-hr >85PPb -0% _

% 8-hr >55ppb -92%
% 8-hr >70ppb -27%
% 8-hr >85ppb ~2%

Max 8-hr Ave Block for Minute 03 in 0 to59

Max 8-hr Ave Block

Max 8-hr Ave Block for Minute 03 in 60 to 84

Max 8-hr Ave Block

Max 8-hr Ave Block for Minute 03 in 85 to 134

% 8-hr >55ppb -100%
% 8-hr >70ppb ~91%
% 8-hr >85ppb -37%

Max 8-hr Ave Block

o -

o -

% 8-hr ="55ppb -12%
% 8-hr >70ppb -1%
% 8-hr >85PPb -0% .

-20

Max 8-hr Ave Block for Minute 03 in 0 to 59

Max 8-hr Ave Block

Max 8-hr Ave Block for Minute 03 in 60 to 89

% 8-hr =-55ppb -92%
% 8-hr >70ppb -28%
% 8-hr >85ppb-2%

Max 8-hr Ave Block

Max 8-hr Ave Block for Minute 03 in 90 to 134

f g - % 8-hr >55ppb-100%
§ - % 8-hr >70ppb -95%
D § j % 8-hr >85ppb -49% I

Max 8-hr Ave Block

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Max 8-hr Ave Block for Minute 03 in 0 to 59

Max 8-hr Ave Block for Minute 03 in 0 to 59

o -
o -

%3-hr>55ppb~12%
% 8-hr >70ppb ~1%
% 8-hr >85PPb -0% _

40

Max 8-hr Ave Block

i S]

%8-hr >55ppb -12%
% 8-hr >70ppb -1%
% 8-hr >85ppb -0% _

40

Max 8-hr Ave Block

Max 8-hr Ave Block for Minute 03 in 60 to 94

Max 8-hr Ave Block for Minute 03 in 60 to 99

% 8-hr >55ppb -92%
% 8-hr >70ppb -29%
% 8-hr >85ppb -3%

Max 8-hr Ave Block

Max 8-hr Ave Block for Minute 03 in 95 to 134

] % 8-hr >55ppb -99%



] % 8-hr >70ppb -98%



J % 8-hr >fi5DDb -59%



% 8-hr >55ppb -92%
% 8-hr >70ppb -30%



Max 8-hr Ave Block

20 0

	1	1	1	

20 40 60

Max 8-hr Ave Block

80

	1

100



Max 8-hr Ave Block for Minute 03 in 100

0134



% 8-hr >55ppb -99%
% 8-hr >7Qppb -98%
% 8-hr >85ppb -68%







20 0

20 40 60
Max 8-hr Ave Block

80 100

Breakpoint Considerations: Messaging Frequencies

The empirical frequencies (%) for the messaging categories Low, Medium, and High were also considered.
Messaging frequencies are not conditional probabilities - they simply represent the frequency with which the
range of values corresponding to a given message (i.e., "High") is observed at the corresponding breakpoint range.
Note that these frequencies are based on 1-minute readings, which are highly correlated - i.e., high values of
ozone likely occur near other high values. Final breakpoints and the corresponding messages are outlined in in
"Interpretation and Communication of Short-term Air Sensor Data: A Pilot Project," available at
http://bit.lv/SensorScalePilot. with selected messaging ranges indicated by shading in the following tables.

1-minute observations in the range 0-59ppb occurred with relative frequency 91.1%. Therefore a "Low" message
would be observed approximately 91.1% of the time if the "Low" range was 0-59ppb. Given a "Low" range of 0-
59ppb, Table 1 shows the messaging frequencies for a variety of "Medium" to "High" breakpoints.

Table 1: Messaging Frequencies for the "Medium" and "High" categories

Medium

%

High

%

60-84

8.4

85-150

0.5

60-89

8.6

90-150

0.3

60-94

8.7

95-150

0.2

60-99

8.8

100-150

0.1

For example, given a "Medium" range of 60-89ppb, the "Medium" message would be seen with a relative
frequency of 8.6%. Table 1 indicates that "High" would occur 0.5% to 0.1% across the increasing options for the
Medium ranges. The empirical frequency for >150ppb was 0%.

Breakpoint Considerations: AQI breakpoint ranges and corresponding possible messaging categories

Tables 2-4 display the empirical probabilities of maximum 8-hour block averages falling in the corresponding AQI
breakpoint ranges for the possible sensor messaging categories. Interpretation examples follow each table.

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Table 2: Max 8-hr Block Average for Minute Ozone Observations in Low Category



1-minute ozone concentrations categorized as Low

AQI breakpoints (Category)

Oto 54

Oto 59

0 to 64

Oto 69

% 8 hr > 55 (Above Good)

8

12

14

16

% 8 hr 55 to 70 (Moderate)

8

11

13

14

% 8 hr > 70 (Above Moderate)

0

1

1

2

% 8 hr 70 to 85 (Unhealthy Sensitive)

0

1

1

2

% 8 hr > 85 (Unhealthy)

0

0

0

0

If Low was set at 0-59ppb for 1-minute readings, the maximum 8-hr block average would be above 59ppb in the
Moderate and above AQI categories with 12% relative frequency, with 0% frequency in "Unhealthy" (>85ppb) and
1% frequency "Unhealthy for Sensitive Groups". If Low was set at 0-69ppb, a maximum 8-hr block average would
exceed "Good" (55ppb) 16% of the time, with 2% chance of falling in the range for "Unhealthy for Sensitive
Groups".

Table 3: Max 8-hr Average Block for Minute Ozone Observations in Medium Category for Lower Range 0-59ppb

AQI breakpoints (Category)

60-84

60-89

60-94

60-99

% 8 hr > 55 (Above Good)

92

92

92

92

% 8 hr 55 to 70 (Moderate)

65

64

63

62

% 8 hr > 70 (Above Moderate)

27

28

29

30

% 8 hr 70 to 85 (Unhealthy Sensitive)

25

26

26

28

% 8 hr > 85 (Unhealthy)

2

2

3

2

If Medium was set at 60ppb-89ppb, 92% would be above the "Good" category, with 64% in the "Moderate" AQI
category, 26% in "Unhealthy for Sensitive Groups", and 2% "Unhealthy". If Medium was 60ppb-99ppb, 92% would
be above "Good", with 62% in "Moderate", 28% in "Unhealthy for Sensitive Groups", and 2% "Unhealthy".

Table 4: Max 8-hr Block Average for Minute Ozone Observations in High Category

AQI breakpoints (Category)

85-150

90-150

95-150

100-150

% 8 hr > 55 (Above Good)

100

100

99

99

% 8 hr 55 to 70 (Moderate)

9

5

2

0

% 8 hr > 70 (Above Moderate)

91

95

98

99

% 8 hr 70 to 85 (Unhealthy Sensitive)

54

43

39

31

% 8 hr > 85 (Unhealthy)

37

49

59

98

If High was set at 90-150ppb, approximately 100% of the corresponding maximum 8-hour block averages would
be above the "Good" AQI category (>55ppb) and 95% above "Moderate" (>70ppb), with 43% in "Unhealthy for
Sensitive Groups" and 49% in "Unhealthy". At 100-150ppb, 99% would be above the "Good" range with 98% in
"Unhealthy" (The slight difference between 100% at 85ppb and 99% at lOOppb are due to rounding and to
reaching the limits of number of exceedances within this data set.)

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Supplementary Figures

Figure SI: Time Series of ozone values and corresponding maximum 8-hour block average for Village Green Bench
and FRM monitoring station data for the 18 sites. The horizontal blue line indicates 70ppb.

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Denver-Camp

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Howard University

•	Llveimore

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Rockwell
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2012

2013

2014

2015

Date from 2011-04-01 to 2015-09-30

Figure S2: Box plots of 1-minute ozone values for Village Green Bench and FRM monitoring station data across
the 18 sites.

Ozone

AW-oOCN-YDC-C D-err-p EsB-xHffA'-y KS-S Liv-

Lyn-n NC-C PA-A Prt-o Riv-d Roc-s Roo-I R«>c-N Rox-y Sait-a
Site

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Figure S3: Density of 1-minute ozone observations and corresponding maximum 8-hour block average for Village
Green Bench and FRM monitoring station data. The horizontal blue line indicates 70ppb.

~	Ozone

~	Max 8hrBlock Ave

~	70ppb

Ozone ppb

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