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Approaches in
Scientific Research
Kal Murthy
May 17, 2019
A presentation given for Eastern Research Group, Inc.
Contents
1. Project-1: Ozone Data Analysis
“A pairwise comparison of daily ozone concentration in Tampa-
St.Petersburg region by Analysis of Variance (ANOVA) statistical technique.”
2. Project-2: Isoprene Oxidation
“An investigation of products formed in gas-phase oxidation of isoprene at
high- and low-NOx conditions.”
3. Differences: Project-1 vs. Project-2
“A comparison between the perspectives of project-1 and project-2.”
Appendix-1: R Code for Project-1
Appendix-2: References for Project-2
2
I
PROJECT-1
Ozone Data Analysis
Part-2 Plots by Group
for each treatment
Pairwise Comparison of Daily Ozone Concentration in
Tampa-St.Petersburg Region
Kalaivanan Murthy, MS
Department of Environmental Engineering Sciences, University of Florida
Kalaivanan Murthy
Email: kalaivananmurthy@ufl.edu
Website: https://www.linkedin.com/in/km007
Phone: (352) 870-2352
Contact
1. Altshuler, S. L., Arcado, T. D., & Lawson, D. R. (1995).Weekday vs. weekend ambient ozone concentrations: discussion and hypotheses with focus on northern California. Journal of the Air & Waste ManagementAssociation,45(12), 967-972.
2. Heuss, J. M., Kahlbaum, D. F., & Wolff, G. T. (2003).Weekday/weekend ozone differences: what can we learn from them?. Journal of the Air & Waste ManagementAssociation, 53(7), 772-788.
3. Ott, R. L., & Longnecker, M. T. (2015).Chapter-8 Inferences about more than two population central values, An introduction to statistical methods and data analysis, pp 402-450.Nelson Education.
4. Mächler, M. (n.d.). Friedman Rank Sum Test. Retrieved October 09, 2017, from https://stat.ethz.ch/R-manual/R-devel/library/stats/html/friedman.test.html
5. Zimmerman,D. W., & Zumbo, B. D. (1993).Relative power of the Wilcoxon test, the Friedman test, and repeated-measures ANOVA on ranks. The Journal of Experimental Education,62(1), 75-86.
6. “Air Data: Air Quality Data Collected at Outdoor Monitors Across the US.” Environmental Protection Agency, 12 Sept. 2017, www.epa.gov/outdoor-air-quality-data.
References
The variation of ozone by day has grabbed the
attention of scientists in recent times.[1][2] This
project aims to examine this variation by statistical
methods.
Hourly ozone data is downloaded from EPA and non-
parametric methods are applied to examine the
trend. Non-parametric methods are used because
the residuals are not normally distributed.
Kruskal-Wallis, a non-parametric 1-way ANOVA test,
is used to identify variation among days.[3] Friedman,
a non-parametric 2-way ANOVA test, is used to
identify the variation between a pair of days.[4]
Introduction
Objective
Results
The results convey the following points.
1. Summary Statistics. The central tendency (mean,
mean, mode) and box-and-whisker plot show that
the data is positive-skewed. This implies an
asymmetric distribution, and that the outliers are
greater than the mean. (mode<median<mean =
positive-skewed, also known as right-skewed.)
2. ANOVA and Normality. The student’s
t-distribution based ANOVA results are invalidated
by the non-normal residuals, and this was
confirmed by Anderson-Darling test. This
necessitates use of non-parametric methods, and
implies that distribution of ozone concentration
by time is not bound to z- or t-distribution.
3. Plots by Group. The group effect is very evident
for treatments month and hour but scant for day
and not evident. This prompts use of advanced
statistical methods to study the day effect.
4. Test for Group Variation. Kruskal-Wallis test,
which is a non-parametric one-way ANOVA test,
shows that day effect is significant at 5%
significance level. Friedman test, which is a non-
parametric two-way ANOVA test, shows ‘what
pairs of days differ.’ The list of p-values and their
inference is provided in the table below.
Discussion
MON TUE WED THU FRI SAT SUN
MON - 0.000 0.683 0.102 0.004 0.000 0.001
TUE 0.000 - 0.000 1.000 0.000 0.000 0.221
WED 0.683 0.000 - 0.014 0.414 0.000 0.000
THU 0.102 1.000 0.014 - 0.683 0.001 0.414
FRI 0.004 0.000 0.414 0.683 - 0.000 0.414
SAT 0.000 0.000 0.000 0.001 0.000 - 0.000
SUN 0.001 0.221 0.000 0.414 0.414 0.000 -
This project aims to answer two main questions
about daily ozone concentration.
1. Is there any significant variation among days?
2. If yes, what pairs of days differ? (For e.g., ‘is
Monday same as Friday?’)
Table 4.1 Friedmanp-values for each pair of days. Grey cells ⇒ days that ‘differ’.
Dr. Chang-Yu Wu, Professor and Assc. Chair, EES, UF.
Dr. Barron Henderson, former Asst. Professor, EES, UF.
Dr. Lawrence H. Winner, Professor, Statistics, UF.
Dr. Demetris Athienitis, Lecturer, Statistics, UF.
Acknowledgements
• The procedure can be extended to other variables
such as site-location, year, month, and hour; and
for other pollutants, particularly, PM2.5.
• The results can be combined with land-use and
urban activity; and spatial and temporal
association of air pollution can be studied.
Future Directions
Methodology
The data is screened for missing values and outliers.
It is then is factored (categorized) by the following
factors – site, year, month, day, and hour. Following
the data screening, the analysis is carried out in four
steps.
1. Summary Statistics. Basic analysis is performed
and key statistical parameters are determined.
2. ANOVA and Normality. ANOVA is run and the
resulting residuals are tested for normality using
Anderson-Darling test and Q-Q plot. The residuals
are found to violate normality. Hence, non-
parametric test is used.
3. Plots by Group. The data is plotted by groups for
the five treatments. (group=Mon, Tue, etc.;
treatment=year, month, day, etc.)
4. Test for Group Variation. The data is tested for
treatment effect for ‘day’ using Kruskal-Wallis
test. Once the day effect is confirmed, i.e., there
exists significant difference amongdays, pairwise
comparison is performed for all pairs of days using
Friedman test. Both Kruskal-Wallis and Friedman
are non-parametric tests, which can be applied
for non-normal data.[5]
Part-1 Summary Statistics
1.1 Summary Statistics
Mean 0.028 Median 0.027
Mode 0.014 Range [0, 0.104]
SD 0.014 IQR [0.018, 0.038]
(unit: parts per million volume)
Part-3 ANOVA and Normality
3.1 ANOVA
3.2.1 Normality: Anderson-Darling
p-value=3.7e-24 < 0.05
⇒ Ha: Normality is violated.
⇒ Ha: Normality is violated.
Part-4 Test for Group Variation
4.1 Kruskal-Wallis: ‘Is there variationamong days?’
p-value=1.2e-60 < 0.05 ⇒ Reject H0.
⇒ Accept Ha: Significant variation exists among days.
4.2 Friedman: ‘What pair of days differ?’
group factor: day, block factor: hour
For the pair, say, Monday-Friday,
p-value=0.004 < 0.05 ⇒Reject H0: The groups are same.
⇒ Accept Ha: Significant difference exists between the
two groups(Mon, Fri).
The p-values for other pairs are given in the table.
The project concludes the following hypothesis.
1. There is a significant variation among days.
2. The pairs of days that differ are shown as grey
color in the table.
In particular, Saturday is different from all other
days. The plots also show evidence that there is a
significant variation among years, months and hours.
Conclusion
Figure 2.1. Ozone vs. Site-Location.
Figure 2.4. Ozone vs. Month.
Figure 2.5. Ozone vs. Hour.
Poster Number
4Florida A&WMA
53rd Annual Conference
& Exhibition
Figure 1.1. Box-and-whiskerplot.
Figure 3.1. Normal Q-Q Plot.
Fig. 2.3. O3 vs. Year.
https://goo.gl/wumGJL
Figure 2.2. Ozone vs. Day.
II
PROJECT-2
Isoprene Oxidation
Overview
• Objective: to study the pathways, products, and yields of gas-phase oxidation
of isoprene under different conditions.
• Isoprene (C5H8): the most reactive hydrocarbon, the most abundant non-
methane hydrocarbon, an alkene, source – biogenic (plants and trees) under
sunlight, global generation – 550 Tg/yr.
• Oxidants: [OH·], [O3], [NO3·] (“·” denotes radical)
• Major Products: methacrolein (C4H6O), methyl vinyl ketone (C4H6O),
formaldehyde (HCHO), and nitratocarbonyl.
6
Isoprene
(2-methyl-1,3-buta-diene)
Methacrolein
(2-methyl-prop-2-enal)
Methyl vinyl ketone
(but-3-en-2-one)
Oxidation Products
• Isoprene + OH: kOH = 2.54 x 10-11 exp(410 / T)[5] cm3 molecule-1 s-1 100E-12 (298K)
• Isoprene + O3: kO3
= 7.86 x 10-15 exp(-1913 / T)[5] cm3 molecule-1 s-1 0.00001E-12 (298K)
MACR MVK
From OH:
0.23[3]
From OH:
0.32[14]
From O3:
0.39[9]
From O3:
0.16[9]
From NO3:
0.02[15]
From NO3:
0.05[15]
Reactivity with:
OH : 0.33*kOH
[9]
O3 : 0.09*kO3
[9]
Reactivity with:
OH : 0.19*kOH
[9]
O3 : 0.36*kO3
[9]
• MVK/MACR = 3:2
• ISOP MACR MVK are less
reactive to O3.
• But [O3] > [OH], O3 oxidation
is significant.
• MACR is more reactive to OH,
whereas MVK is more reactive
to O3.
• OH reaction more sensitive to
temperature.
• In absence of NOx,
MVK/MACR = 0.8.
• MACR MVK oxidation by NO3
is negligible.
7
Oxidation Pathways: NO3 , HO2
Isoprene + NO3:
• k = 0.66E-12298K
[15]
• NO2 reacts with O3 to form nitrate radicals
NO3·, which oxidizes isoprene to form
condensable SOA.
• Products formed:
Nitrooxycarbonyl
Hydroxynitrate
• Minor products include hydroxycarbonyl,
MACR MVK and HCHO.
RO2 + HO2
• k = 3.4 x 10-13 exp (800 / T) cm3 molecule s-1
• C5 unsaturated dihydroxy compounds (diols).
(Rupert and Becker, 2000). This provides
evidence for peroxy radical reactions. (Diol –
OH–R–OH)
• Oxidation products of peroxy radicals:
carboxylic acids –COOH, organic nitrate –ONO2,
alkoxy radical RO·, produces products of low
volatility, and hence formation of SOA.[13]
Peroxy Radical Reactions [k] cm3 molecule-1 s-1 [15]
RO2 + HO2 → ROOH + O2 k = 22E-12 (22*10-12)
RO2 + NO → RO + NO2 k = 4E-12
[12]
RO2 + NO → RONO2 ..organic nitrate
RO2 + NO2 → ROONO2m k = 9E-12 ..peroxy nitrate
RO2 + RO2 → 2RO + O2 k = 0.1E-12
60% yield
O2NO–R–C=O
O2NO–R–OH
8
Observations
• In the presence of NOx, formation of methyl vinyl ketone is
closely 1.3x molar methacrolein, and formation of
formaldehyde is 60% molar yield.
• In the absence of NOx, alkyl peroxy and hydroperoxy radicals
dominate, and produces carboxylic acid.
• In a very-low NOx environment, alkoxy radicals and nitrogen-
dioxide becomes dominant, besides peroxy radical reaction.
In addition, organonitrates are formed in significant amounts,
and peroxy nitrates are formed in negligible amounts.
• The products, carboxylic acids, organonitrates, and furans, are
less volatile than their parent compounds, and thus likely to
produce secondary organic aerosols (SOA).
• The alkoxy radicals oxidizes to produce carbonyls and
hydroperoxides. The hydroxyalkyl radicals, formed as
intermediate, has potential to isomerize, then oxidize, and
eventually to form dihydrofuran.
RO2·
alkyl peroxy
radical
HO2 ·
hydro peroxy
radical
RO ·
alkoxy radical
RCOOH
carboxylic acid
RONO2
organonitrate
ROONO2
peroxynitrate
>C=O
carbonyl
9
Challenges
• Second generation reactions.
• Although oxidation of MACR MVK by [O3] and [NO3] are ignored, the reactions
are found to exist.
• Photolysis of primary oxidation products.
• Recent studies show that even MACR and MVK undergo photolysis.
• Peroxy Radical reactions are less understood.
• In the absence NOx, the RO2-RO2 and RO2-HO2 reactions are significant but the
mechanisms and yields of the products are yet unclear.
• Condensed mechanisms and ‘representative compounds’
• Acetaldehyde and propanal for carbonyl oxidation products disguises the true
property of alkyl compounds.
10
III
PROJECT-1 vs. PROJECT-2
Differences
How they differ?
Project-1: Analytical
Science and mathematics applied to
understand real-time observations.
Probabilistic (stochastic) analysis.
Limited to spatial and temporal extent
and resolution, and local factors
(variables) such as topography.
Examples: Emissions Inventory
Development, Mercury content in
Atlantic fishes, NYC Waste
Management.
12
Project-2: Theoretical
Experiments conducted to advance
science and mathematics.
Deterministic analysis.
Limited to ideal/laboratory conditions;
extended to practical/real-time
conditions using uncertainty factors.
Examples: Einstein’s theory of
relativity, Fermat’s last theorem,
Chapman Cycle, Bayes theorem.
Acknowledgements
• Texas Commission on Environmental Quality (TCEQ)
• JSW Steel Limited
• University of Florida
• National Institute of Technology - Tiruchirappalli (NIT-Trichy)
13
THANK YOU
Questions?
Approaches in
Scientific Research
Kal Murthy
M.S. Environmental Engineering Sciences
May 17, 2019
A presentation on different approaches in scientific research.
The End
Appendices >>
APPENDIX-1
PROJECT-1
R Code
R Code
#READ DATA AND BUILD DATAFRAME
data.raw=read.csv("C:/Users/kalsv/Documents/DATA/tampa/to_
database.txt",header=T,
stringsAsFactors=F)
s=stringr::str_split_fixed(data.raw$datetime,"[T-]",3)
date.s=strptime(s[,1],"%Y%m%d")
data.xc=data.frame(siteid=factor(data.raw$site),date.s,
day=factor(weekdays(date.s)),
month=factor(format(date.s,"%B")),
year=factor(format(date.s,"%Y")),
hour=factor(s[,2]),value=data.raw$value)
attach(data.xc)
str(data.xc)
#FACTOR DATA: SORT FACTOR LEVELS
siteid=factor(siteid,levels=c("840120571065","840120571035
","840120570081","840120573002",
"840121030004","840121030018","840121035002"),
labels=c("T-USMC","T-Davis","T-
EGSPrk","T-Sydney",
"SP-SPJrCol","SP-AzaPrk","SP-
JCPrk"))
levels(month)=c("January","February","March","April",
"May","June","July","August",
"September","October","November","December")
levels(day)=c("Monday","Tuesday","Wednesday","Thursday",
"Friday","Saturday","Sunday")
#SUMMARY STATISTICS
summary(value)
unique(value)[which.max(tabulate(match(value,
unique(value))))] #mode
range(value)
sd(value)
boxplot(value,main="Box-and-whisker",xlab="ozone (ppm)",
horizontal=T, varwidth=1, cex.axis=1, cex.lab=1)
#ANOVA: INDEPENDENT FACTORS
anova.xc=aov(value~siteid+year+month+day+hour)
summary(anova.xc)
#MEANS BY GROUP (SITE,YEAR,MONTH,DAY,HOUR)
means.func=function(factor,trimx=0.05,roundx=4) {
means.x=tapply(value,factor,mean,trim=trimx)
return(round(means.x,digits=roundx))
}
means.func(year)
means.func(month)
means.func(day)
means.func(hour,roundx=3)
#PLOTS BY GROUP (SITE,YEAR,MONTH,DAY,HOUR)
plot.func=function(factor) {
stripchart(value~factor,method="stack",vertical=TRUE,
pch=1,cex=0.0001,xlab=as.character(substitute(factor)),yla
b="ozone(ppm)",
ylim=c(0,0.05),main="Ozone Trend (2014-
2016)",col="gray")
title(sub="Pre-Analysis Plot",adj=0,cex=0.1)
points(c(1:length(levels(factor))),tapply(value,factor,mea
n,trim=0.05),col=2,pch=8)
for (i in 1:length(levels(factor))) {
avg=tapply(value,factor,mean,trim=0.05)[i]
stdev=tapply(value,factor,sd)[i]
arrows(i,avg-
stdev,i,avg+stdev,length=0.05,angle=90,code=3,col=16,lwd=0
.6)
}
abline(h=mean(value,trim=0.05),lty=2,lwd=1.2,col=2)
legend("bottomright",inset=0.02,
c("ozone
(ppm)",paste(as.character(substitute(factor)),"mean",sep="
"),"overall mean"),
col=c(152,2,2),text.col="black",lty=c(0,0,2),pch=c(1,8,NA)
,bg="gray99")
}
plot.func(siteid)
plot.func(year)
plot.func(month)
plot.func(day)
plot.func(hour)
#TEST FOR NORMALITY: ANDERSON-DARLING
normality.func=function(vector.sample) { #
vector.sample is an error vector
qqnorm(vector.sample,datax=TRUE,cex.lab=1.5)
qqline(vector.sample,datax=TRUE)
p.norm=nortest::ad.test(vector.sample)$p.value
norm=ifelse(nortest::ad.test(vector.sample)$p.value<=0.05,
"Ha:Normality Violated","Ho:Normality
Verified")
paste(norm," ","p-value=",p.norm)
}
normality.func(anova.xc$residuals)
#KRUSKAL-WALLIS TEST: NON-PARAMETRIC 1-WAY TEST
krtest.func=function(kvalue,kgroup) { # kvalue is a
numeric vector of values
# kgroup is a
group factor
kr=kruskal.test(kvalue~kgroup)
ifelse(kr$p.value<=0.05,
"Ha:Groups significantly differ","Ho:Groups are
alike")
paste(kr$p.value)
}
krtest.func(value,day)
krtest.func(value,month)
#FRIEDMAN TEST: NON-PARAMETRIC 2-WAY TEST
agg.x<-aggregate(value~day+hour,FUN="mean")
kalday.func=function(xday1,xday2) {
df.x=data.frame(agg.x[agg.x$day %in% c(xday1,xday2),])
df.x$day=factor(df.x$day);levels(df.x$day)
fr.x=friedman.test(value~day|hour,data=df.x)
fr.out=ifelse(fr.x$p.value<=0.05,
"Ha:Different","Ho:Same")
return(paste(fr.out," p-value=",round(fr.x$p.value,3)))
}
pair.func=function() {
for (i in levels(day)) {
for (j in levels(day)) {
while (i!=j) {
print(paste(i,"-",j,kalday.func(i,j)))
break
}}}
}
pair.func()
17
Specific Modules
#READ DATA AND BUILD DATAFRAME
data.raw=read.csv("C:/Users/kalsv/Documents/DATA/tampa/to_databa
se.txt",header=T,stringsAsFactors=F)
s=stringr::str_split_fixed(data.raw$datetime,"[T-]",3)
date.s=strptime(s[,1],"%Y%m%d")
data.xc=data.frame(siteid=factor(data.raw$site),date.s,
day=factor(weekdays(date.s)),
month=factor(format(date.s,"%B")),
year=factor(format(date.s,"%Y")),
hour=factor(s[,2]),value=data.raw$value)
attach(data.xc)
str(data.xc)
#PLOTS BY GROUP (SITE,YEAR,MONTH,DAY,HOUR)
plot.func=function(factor) {
stripchart(value~factor,method="stack",vertical=TRUE,
pch=1,cex=0.0001,xlab=as.character(substitute(factor)),ylab="ozo
ne(ppm)",ylim=c(0,0.05),main="Ozone Trend (2014-
2016)",col="gray")
title(sub="Pre-Analysis Plot",adj=0,cex=0.1)
points(c(1:length(levels(factor))),tapply(value,factor,mean,trim
=0.05),col=2,pch=8)
for (i in 1:length(levels(factor))) {
avg=tapply(value,factor,mean,trim=0.05)[i]
stdev=tapply(value,factor,sd)[i]
arrows(i,avg-
stdev,i,avg+stdev,length=0.05,angle=90,code=3,col=16,lwd=0.6)
}
abline(h=mean(value,trim=0.05),lty=2,lwd=1.2,col=2)
legend("bottomright",inset=0.02,
c("ozone
(ppm)",paste(as.character(substitute(factor)),"mean",sep="
"),"overall mean"),
col=c(152,2,2),text.col="black",lty=c(0,0,2),pch=c(1,8,NA),bg="g
ray99")
}
plot.func(siteid)
plot.func(year)
plot.func(month)
plot.func(day)
plot.func(hour)
#TEST FOR NORMALITY: ANDERSON-DARLING
normality.func=function(vector.sample) { # vector.sample is
an error vector
qqnorm(vector.sample,datax=TRUE,cex.lab=1.5)
qqline(vector.sample,datax=TRUE)
p.norm=nortest::ad.test(vector.sample)$p.value
norm=ifelse(nortest::ad.test(vector.sample)$p.value<=0.05,
"Ha:Normality Violated","Ho:Normality Verified")
paste(norm," ","p-value=",p.norm)
}
normality.func(anova.xc$residuals)
#FRIEDMAN TEST: NON-PARAMETRIC 2-WAY TEST
agg.x<<-aggregate(value~day+hour,FUN="mean")
kalday.func=function(xday1,xday2) {
df.x=data.frame(agg.x[agg.x$day %in% c(xday1,xday2),])
df.x$day=factor(df.x$day);levels(df.x$day)
fr.x=friedman.test(value~day|hour,data=df.x)
fr.out=ifelse(fr.x$p.value<=0.05,
"Ha:Different","Ho:Same")
return(paste(fr.out," p-value=",round(fr.x$p.value,3)))
}
(Note: This is better viewed in a source-code editor, such as
Notepad++.)
18
APPENDIX-2
PROJECT-2
References
References
1. Tuazon, E. C., & Atkinson, R. (1990). A product study of the gas‐phase reaction of Isoprene with the OH radical
in the presence of NOx. International Journal of Chemical Kinetics, 22(12), 1221-1236.
2. Chameides, W. L., Lindsay, R. W., Richardson, J., & Kiang, C. S. (1988). The role of biogenic hydrocarbons in
urban photochemical smog: Atlanta as a case study. Science(Washington), 241(4872), 1473-1475.
3. Jenkin, M. E., Young, J. C., & Rickard, A. R. (2015). The MCM v3. 3.1 degradation scheme for isoprene. Atmos.
Chem. Phys, 15(20), 11433-11459.
4. Guenther, C. C. (2006). Estimates of global terrestrial isoprene emissions using MEGAN (Model of Emissions
of Gases and Aerosols from Nature). Atmospheric Chemistry and Physics, 6.
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research letters, 31(5).
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change. John Wiley & Sons.
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(2009). A product study of the isoprene+ NO 3 reaction. Atmospheric Chemistry and Physics, 9(14), 4945-
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the nitrate radical (NO3) with isoprene, 1, 3-butadiene and 2, 3-dimethyl-1, 3-butadiene in air. Atmospheric
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9. Aschmann, S. M., & Atkinson, R. (1994). Formation yields of methyl vinyl ketone and methacrolein from the
gas-phase reaction of O3 with isoprene. Environmental science & technology, 28(8), 1539-1542..
10. Barket, D. J., Grossenbacher, J. W., Hurst, J. M., Shepson, P. B., Olszyna, K., Thornberry, T., ... & Biesenthal, T.
(2004). A study of the NOx dependence of isoprene oxidation. Journal of Geophysical Research:
Atmospheres, 109(D11).
20
References (cntd.)
11. Von Schneidemesser, E., Monks, P. S., & Plass-Duelmer, C. (2010). Global comparison of VOC and CO
observations in urban areas. Atmospheric Environment, 44(39), 5053-5064.
12. Ruppert, L., & Becker, K. H. (2000). A product study of the OH radical-initiated oxidation of isoprene:
Formation of C 5-unsaturated diols. Atmospheric environment, 34(10), 1529-1542.
13. Kroll, J. H., & Seinfeld, J. H. (2008). Chemistry of secondary organic aerosol: Formation and evolution of low-
volatility organics in the atmosphere. Atmospheric Environment, 42(16), 3593-3624.
14. Sprengnether, M., Demerjian, K. L., Donahue, N. M., & Anderson, J. G. (2002). Product analysis of the OH
oxidation of isoprene and 1, 3‐butadiene in the presence of NO. Journal of Geophysical Research:
Atmospheres, 107(D15).
15. Kwan, A. J., Chan, A. W. H., Ng, N. L., Kjærgaard, H. G., Seinfeld, J. H., & Wennberg, P. O. (2012). Peroxy radical
chemistry and OH radical production during the NO3-initiated oxidation of isoprene. Atmospheric Chemistry
and Physics, 12(16), 7499-7515.
16. Paulson, S. E., & Seinfeld, J. H. (1992). Development and evaluation of a photooxidation mechanism for
isoprene. Journal of Geophysical Research: Atmospheres, 97(D18), 20703-20715.
21
Ozone Isopleth
22
Ozone isopleths used in EPA’s EKMA.
(Source: National Research Council, 1991.)
Oxidation of VOC
23
Photo-oxidation of VOC.
(Source: Finlayson-Pitts, B. J., and Pitts Jr, J. N., 1999)

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Approaches in Scientific Research

  • 1. Approaches in Scientific Research Kal Murthy May 17, 2019 A presentation given for Eastern Research Group, Inc.
  • 2. Contents 1. Project-1: Ozone Data Analysis “A pairwise comparison of daily ozone concentration in Tampa- St.Petersburg region by Analysis of Variance (ANOVA) statistical technique.” 2. Project-2: Isoprene Oxidation “An investigation of products formed in gas-phase oxidation of isoprene at high- and low-NOx conditions.” 3. Differences: Project-1 vs. Project-2 “A comparison between the perspectives of project-1 and project-2.” Appendix-1: R Code for Project-1 Appendix-2: References for Project-2 2
  • 4. Part-2 Plots by Group for each treatment Pairwise Comparison of Daily Ozone Concentration in Tampa-St.Petersburg Region Kalaivanan Murthy, MS Department of Environmental Engineering Sciences, University of Florida Kalaivanan Murthy Email: kalaivananmurthy@ufl.edu Website: https://www.linkedin.com/in/km007 Phone: (352) 870-2352 Contact 1. Altshuler, S. L., Arcado, T. D., & Lawson, D. R. (1995).Weekday vs. weekend ambient ozone concentrations: discussion and hypotheses with focus on northern California. Journal of the Air & Waste ManagementAssociation,45(12), 967-972. 2. Heuss, J. M., Kahlbaum, D. F., & Wolff, G. T. (2003).Weekday/weekend ozone differences: what can we learn from them?. Journal of the Air & Waste ManagementAssociation, 53(7), 772-788. 3. Ott, R. L., & Longnecker, M. T. (2015).Chapter-8 Inferences about more than two population central values, An introduction to statistical methods and data analysis, pp 402-450.Nelson Education. 4. Mächler, M. (n.d.). Friedman Rank Sum Test. Retrieved October 09, 2017, from https://stat.ethz.ch/R-manual/R-devel/library/stats/html/friedman.test.html 5. Zimmerman,D. W., & Zumbo, B. D. (1993).Relative power of the Wilcoxon test, the Friedman test, and repeated-measures ANOVA on ranks. The Journal of Experimental Education,62(1), 75-86. 6. “Air Data: Air Quality Data Collected at Outdoor Monitors Across the US.” Environmental Protection Agency, 12 Sept. 2017, www.epa.gov/outdoor-air-quality-data. References The variation of ozone by day has grabbed the attention of scientists in recent times.[1][2] This project aims to examine this variation by statistical methods. Hourly ozone data is downloaded from EPA and non- parametric methods are applied to examine the trend. Non-parametric methods are used because the residuals are not normally distributed. Kruskal-Wallis, a non-parametric 1-way ANOVA test, is used to identify variation among days.[3] Friedman, a non-parametric 2-way ANOVA test, is used to identify the variation between a pair of days.[4] Introduction Objective Results The results convey the following points. 1. Summary Statistics. The central tendency (mean, mean, mode) and box-and-whisker plot show that the data is positive-skewed. This implies an asymmetric distribution, and that the outliers are greater than the mean. (mode<median<mean = positive-skewed, also known as right-skewed.) 2. ANOVA and Normality. The student’s t-distribution based ANOVA results are invalidated by the non-normal residuals, and this was confirmed by Anderson-Darling test. This necessitates use of non-parametric methods, and implies that distribution of ozone concentration by time is not bound to z- or t-distribution. 3. Plots by Group. The group effect is very evident for treatments month and hour but scant for day and not evident. This prompts use of advanced statistical methods to study the day effect. 4. Test for Group Variation. Kruskal-Wallis test, which is a non-parametric one-way ANOVA test, shows that day effect is significant at 5% significance level. Friedman test, which is a non- parametric two-way ANOVA test, shows ‘what pairs of days differ.’ The list of p-values and their inference is provided in the table below. Discussion MON TUE WED THU FRI SAT SUN MON - 0.000 0.683 0.102 0.004 0.000 0.001 TUE 0.000 - 0.000 1.000 0.000 0.000 0.221 WED 0.683 0.000 - 0.014 0.414 0.000 0.000 THU 0.102 1.000 0.014 - 0.683 0.001 0.414 FRI 0.004 0.000 0.414 0.683 - 0.000 0.414 SAT 0.000 0.000 0.000 0.001 0.000 - 0.000 SUN 0.001 0.221 0.000 0.414 0.414 0.000 - This project aims to answer two main questions about daily ozone concentration. 1. Is there any significant variation among days? 2. If yes, what pairs of days differ? (For e.g., ‘is Monday same as Friday?’) Table 4.1 Friedmanp-values for each pair of days. Grey cells ⇒ days that ‘differ’. Dr. Chang-Yu Wu, Professor and Assc. Chair, EES, UF. Dr. Barron Henderson, former Asst. Professor, EES, UF. Dr. Lawrence H. Winner, Professor, Statistics, UF. Dr. Demetris Athienitis, Lecturer, Statistics, UF. Acknowledgements • The procedure can be extended to other variables such as site-location, year, month, and hour; and for other pollutants, particularly, PM2.5. • The results can be combined with land-use and urban activity; and spatial and temporal association of air pollution can be studied. Future Directions Methodology The data is screened for missing values and outliers. It is then is factored (categorized) by the following factors – site, year, month, day, and hour. Following the data screening, the analysis is carried out in four steps. 1. Summary Statistics. Basic analysis is performed and key statistical parameters are determined. 2. ANOVA and Normality. ANOVA is run and the resulting residuals are tested for normality using Anderson-Darling test and Q-Q plot. The residuals are found to violate normality. Hence, non- parametric test is used. 3. Plots by Group. The data is plotted by groups for the five treatments. (group=Mon, Tue, etc.; treatment=year, month, day, etc.) 4. Test for Group Variation. The data is tested for treatment effect for ‘day’ using Kruskal-Wallis test. Once the day effect is confirmed, i.e., there exists significant difference amongdays, pairwise comparison is performed for all pairs of days using Friedman test. Both Kruskal-Wallis and Friedman are non-parametric tests, which can be applied for non-normal data.[5] Part-1 Summary Statistics 1.1 Summary Statistics Mean 0.028 Median 0.027 Mode 0.014 Range [0, 0.104] SD 0.014 IQR [0.018, 0.038] (unit: parts per million volume) Part-3 ANOVA and Normality 3.1 ANOVA 3.2.1 Normality: Anderson-Darling p-value=3.7e-24 < 0.05 ⇒ Ha: Normality is violated. ⇒ Ha: Normality is violated. Part-4 Test for Group Variation 4.1 Kruskal-Wallis: ‘Is there variationamong days?’ p-value=1.2e-60 < 0.05 ⇒ Reject H0. ⇒ Accept Ha: Significant variation exists among days. 4.2 Friedman: ‘What pair of days differ?’ group factor: day, block factor: hour For the pair, say, Monday-Friday, p-value=0.004 < 0.05 ⇒Reject H0: The groups are same. ⇒ Accept Ha: Significant difference exists between the two groups(Mon, Fri). The p-values for other pairs are given in the table. The project concludes the following hypothesis. 1. There is a significant variation among days. 2. The pairs of days that differ are shown as grey color in the table. In particular, Saturday is different from all other days. The plots also show evidence that there is a significant variation among years, months and hours. Conclusion Figure 2.1. Ozone vs. Site-Location. Figure 2.4. Ozone vs. Month. Figure 2.5. Ozone vs. Hour. Poster Number 4Florida A&WMA 53rd Annual Conference & Exhibition Figure 1.1. Box-and-whiskerplot. Figure 3.1. Normal Q-Q Plot. Fig. 2.3. O3 vs. Year. https://goo.gl/wumGJL Figure 2.2. Ozone vs. Day.
  • 6. Overview • Objective: to study the pathways, products, and yields of gas-phase oxidation of isoprene under different conditions. • Isoprene (C5H8): the most reactive hydrocarbon, the most abundant non- methane hydrocarbon, an alkene, source – biogenic (plants and trees) under sunlight, global generation – 550 Tg/yr. • Oxidants: [OH·], [O3], [NO3·] (“·” denotes radical) • Major Products: methacrolein (C4H6O), methyl vinyl ketone (C4H6O), formaldehyde (HCHO), and nitratocarbonyl. 6 Isoprene (2-methyl-1,3-buta-diene) Methacrolein (2-methyl-prop-2-enal) Methyl vinyl ketone (but-3-en-2-one)
  • 7. Oxidation Products • Isoprene + OH: kOH = 2.54 x 10-11 exp(410 / T)[5] cm3 molecule-1 s-1 100E-12 (298K) • Isoprene + O3: kO3 = 7.86 x 10-15 exp(-1913 / T)[5] cm3 molecule-1 s-1 0.00001E-12 (298K) MACR MVK From OH: 0.23[3] From OH: 0.32[14] From O3: 0.39[9] From O3: 0.16[9] From NO3: 0.02[15] From NO3: 0.05[15] Reactivity with: OH : 0.33*kOH [9] O3 : 0.09*kO3 [9] Reactivity with: OH : 0.19*kOH [9] O3 : 0.36*kO3 [9] • MVK/MACR = 3:2 • ISOP MACR MVK are less reactive to O3. • But [O3] > [OH], O3 oxidation is significant. • MACR is more reactive to OH, whereas MVK is more reactive to O3. • OH reaction more sensitive to temperature. • In absence of NOx, MVK/MACR = 0.8. • MACR MVK oxidation by NO3 is negligible. 7
  • 8. Oxidation Pathways: NO3 , HO2 Isoprene + NO3: • k = 0.66E-12298K [15] • NO2 reacts with O3 to form nitrate radicals NO3·, which oxidizes isoprene to form condensable SOA. • Products formed: Nitrooxycarbonyl Hydroxynitrate • Minor products include hydroxycarbonyl, MACR MVK and HCHO. RO2 + HO2 • k = 3.4 x 10-13 exp (800 / T) cm3 molecule s-1 • C5 unsaturated dihydroxy compounds (diols). (Rupert and Becker, 2000). This provides evidence for peroxy radical reactions. (Diol – OH–R–OH) • Oxidation products of peroxy radicals: carboxylic acids –COOH, organic nitrate –ONO2, alkoxy radical RO·, produces products of low volatility, and hence formation of SOA.[13] Peroxy Radical Reactions [k] cm3 molecule-1 s-1 [15] RO2 + HO2 → ROOH + O2 k = 22E-12 (22*10-12) RO2 + NO → RO + NO2 k = 4E-12 [12] RO2 + NO → RONO2 ..organic nitrate RO2 + NO2 → ROONO2m k = 9E-12 ..peroxy nitrate RO2 + RO2 → 2RO + O2 k = 0.1E-12 60% yield O2NO–R–C=O O2NO–R–OH 8
  • 9. Observations • In the presence of NOx, formation of methyl vinyl ketone is closely 1.3x molar methacrolein, and formation of formaldehyde is 60% molar yield. • In the absence of NOx, alkyl peroxy and hydroperoxy radicals dominate, and produces carboxylic acid. • In a very-low NOx environment, alkoxy radicals and nitrogen- dioxide becomes dominant, besides peroxy radical reaction. In addition, organonitrates are formed in significant amounts, and peroxy nitrates are formed in negligible amounts. • The products, carboxylic acids, organonitrates, and furans, are less volatile than their parent compounds, and thus likely to produce secondary organic aerosols (SOA). • The alkoxy radicals oxidizes to produce carbonyls and hydroperoxides. The hydroxyalkyl radicals, formed as intermediate, has potential to isomerize, then oxidize, and eventually to form dihydrofuran. RO2· alkyl peroxy radical HO2 · hydro peroxy radical RO · alkoxy radical RCOOH carboxylic acid RONO2 organonitrate ROONO2 peroxynitrate >C=O carbonyl 9
  • 10. Challenges • Second generation reactions. • Although oxidation of MACR MVK by [O3] and [NO3] are ignored, the reactions are found to exist. • Photolysis of primary oxidation products. • Recent studies show that even MACR and MVK undergo photolysis. • Peroxy Radical reactions are less understood. • In the absence NOx, the RO2-RO2 and RO2-HO2 reactions are significant but the mechanisms and yields of the products are yet unclear. • Condensed mechanisms and ‘representative compounds’ • Acetaldehyde and propanal for carbonyl oxidation products disguises the true property of alkyl compounds. 10
  • 12. How they differ? Project-1: Analytical Science and mathematics applied to understand real-time observations. Probabilistic (stochastic) analysis. Limited to spatial and temporal extent and resolution, and local factors (variables) such as topography. Examples: Emissions Inventory Development, Mercury content in Atlantic fishes, NYC Waste Management. 12 Project-2: Theoretical Experiments conducted to advance science and mathematics. Deterministic analysis. Limited to ideal/laboratory conditions; extended to practical/real-time conditions using uncertainty factors. Examples: Einstein’s theory of relativity, Fermat’s last theorem, Chapman Cycle, Bayes theorem.
  • 13. Acknowledgements • Texas Commission on Environmental Quality (TCEQ) • JSW Steel Limited • University of Florida • National Institute of Technology - Tiruchirappalli (NIT-Trichy) 13
  • 15. Approaches in Scientific Research Kal Murthy M.S. Environmental Engineering Sciences May 17, 2019 A presentation on different approaches in scientific research. The End Appendices >>
  • 17. R Code #READ DATA AND BUILD DATAFRAME data.raw=read.csv("C:/Users/kalsv/Documents/DATA/tampa/to_ database.txt",header=T, stringsAsFactors=F) s=stringr::str_split_fixed(data.raw$datetime,"[T-]",3) date.s=strptime(s[,1],"%Y%m%d") data.xc=data.frame(siteid=factor(data.raw$site),date.s, day=factor(weekdays(date.s)), month=factor(format(date.s,"%B")), year=factor(format(date.s,"%Y")), hour=factor(s[,2]),value=data.raw$value) attach(data.xc) str(data.xc) #FACTOR DATA: SORT FACTOR LEVELS siteid=factor(siteid,levels=c("840120571065","840120571035 ","840120570081","840120573002", "840121030004","840121030018","840121035002"), labels=c("T-USMC","T-Davis","T- EGSPrk","T-Sydney", "SP-SPJrCol","SP-AzaPrk","SP- JCPrk")) levels(month)=c("January","February","March","April", "May","June","July","August", "September","October","November","December") levels(day)=c("Monday","Tuesday","Wednesday","Thursday", "Friday","Saturday","Sunday") #SUMMARY STATISTICS summary(value) unique(value)[which.max(tabulate(match(value, unique(value))))] #mode range(value) sd(value) boxplot(value,main="Box-and-whisker",xlab="ozone (ppm)", horizontal=T, varwidth=1, cex.axis=1, cex.lab=1) #ANOVA: INDEPENDENT FACTORS anova.xc=aov(value~siteid+year+month+day+hour) summary(anova.xc) #MEANS BY GROUP (SITE,YEAR,MONTH,DAY,HOUR) means.func=function(factor,trimx=0.05,roundx=4) { means.x=tapply(value,factor,mean,trim=trimx) return(round(means.x,digits=roundx)) } means.func(year) means.func(month) means.func(day) means.func(hour,roundx=3) #PLOTS BY GROUP (SITE,YEAR,MONTH,DAY,HOUR) plot.func=function(factor) { stripchart(value~factor,method="stack",vertical=TRUE, pch=1,cex=0.0001,xlab=as.character(substitute(factor)),yla b="ozone(ppm)", ylim=c(0,0.05),main="Ozone Trend (2014- 2016)",col="gray") title(sub="Pre-Analysis Plot",adj=0,cex=0.1) points(c(1:length(levels(factor))),tapply(value,factor,mea n,trim=0.05),col=2,pch=8) for (i in 1:length(levels(factor))) { avg=tapply(value,factor,mean,trim=0.05)[i] stdev=tapply(value,factor,sd)[i] arrows(i,avg- stdev,i,avg+stdev,length=0.05,angle=90,code=3,col=16,lwd=0 .6) } abline(h=mean(value,trim=0.05),lty=2,lwd=1.2,col=2) legend("bottomright",inset=0.02, c("ozone (ppm)",paste(as.character(substitute(factor)),"mean",sep=" "),"overall mean"), col=c(152,2,2),text.col="black",lty=c(0,0,2),pch=c(1,8,NA) ,bg="gray99") } plot.func(siteid) plot.func(year) plot.func(month) plot.func(day) plot.func(hour) #TEST FOR NORMALITY: ANDERSON-DARLING normality.func=function(vector.sample) { # vector.sample is an error vector qqnorm(vector.sample,datax=TRUE,cex.lab=1.5) qqline(vector.sample,datax=TRUE) p.norm=nortest::ad.test(vector.sample)$p.value norm=ifelse(nortest::ad.test(vector.sample)$p.value<=0.05, "Ha:Normality Violated","Ho:Normality Verified") paste(norm," ","p-value=",p.norm) } normality.func(anova.xc$residuals) #KRUSKAL-WALLIS TEST: NON-PARAMETRIC 1-WAY TEST krtest.func=function(kvalue,kgroup) { # kvalue is a numeric vector of values # kgroup is a group factor kr=kruskal.test(kvalue~kgroup) ifelse(kr$p.value<=0.05, "Ha:Groups significantly differ","Ho:Groups are alike") paste(kr$p.value) } krtest.func(value,day) krtest.func(value,month) #FRIEDMAN TEST: NON-PARAMETRIC 2-WAY TEST agg.x<-aggregate(value~day+hour,FUN="mean") kalday.func=function(xday1,xday2) { df.x=data.frame(agg.x[agg.x$day %in% c(xday1,xday2),]) df.x$day=factor(df.x$day);levels(df.x$day) fr.x=friedman.test(value~day|hour,data=df.x) fr.out=ifelse(fr.x$p.value<=0.05, "Ha:Different","Ho:Same") return(paste(fr.out," p-value=",round(fr.x$p.value,3))) } pair.func=function() { for (i in levels(day)) { for (j in levels(day)) { while (i!=j) { print(paste(i,"-",j,kalday.func(i,j))) break }}} } pair.func() 17
  • 18. Specific Modules #READ DATA AND BUILD DATAFRAME data.raw=read.csv("C:/Users/kalsv/Documents/DATA/tampa/to_databa se.txt",header=T,stringsAsFactors=F) s=stringr::str_split_fixed(data.raw$datetime,"[T-]",3) date.s=strptime(s[,1],"%Y%m%d") data.xc=data.frame(siteid=factor(data.raw$site),date.s, day=factor(weekdays(date.s)), month=factor(format(date.s,"%B")), year=factor(format(date.s,"%Y")), hour=factor(s[,2]),value=data.raw$value) attach(data.xc) str(data.xc) #PLOTS BY GROUP (SITE,YEAR,MONTH,DAY,HOUR) plot.func=function(factor) { stripchart(value~factor,method="stack",vertical=TRUE, pch=1,cex=0.0001,xlab=as.character(substitute(factor)),ylab="ozo ne(ppm)",ylim=c(0,0.05),main="Ozone Trend (2014- 2016)",col="gray") title(sub="Pre-Analysis Plot",adj=0,cex=0.1) points(c(1:length(levels(factor))),tapply(value,factor,mean,trim =0.05),col=2,pch=8) for (i in 1:length(levels(factor))) { avg=tapply(value,factor,mean,trim=0.05)[i] stdev=tapply(value,factor,sd)[i] arrows(i,avg- stdev,i,avg+stdev,length=0.05,angle=90,code=3,col=16,lwd=0.6) } abline(h=mean(value,trim=0.05),lty=2,lwd=1.2,col=2) legend("bottomright",inset=0.02, c("ozone (ppm)",paste(as.character(substitute(factor)),"mean",sep=" "),"overall mean"), col=c(152,2,2),text.col="black",lty=c(0,0,2),pch=c(1,8,NA),bg="g ray99") } plot.func(siteid) plot.func(year) plot.func(month) plot.func(day) plot.func(hour) #TEST FOR NORMALITY: ANDERSON-DARLING normality.func=function(vector.sample) { # vector.sample is an error vector qqnorm(vector.sample,datax=TRUE,cex.lab=1.5) qqline(vector.sample,datax=TRUE) p.norm=nortest::ad.test(vector.sample)$p.value norm=ifelse(nortest::ad.test(vector.sample)$p.value<=0.05, "Ha:Normality Violated","Ho:Normality Verified") paste(norm," ","p-value=",p.norm) } normality.func(anova.xc$residuals) #FRIEDMAN TEST: NON-PARAMETRIC 2-WAY TEST agg.x<<-aggregate(value~day+hour,FUN="mean") kalday.func=function(xday1,xday2) { df.x=data.frame(agg.x[agg.x$day %in% c(xday1,xday2),]) df.x$day=factor(df.x$day);levels(df.x$day) fr.x=friedman.test(value~day|hour,data=df.x) fr.out=ifelse(fr.x$p.value<=0.05, "Ha:Different","Ho:Same") return(paste(fr.out," p-value=",round(fr.x$p.value,3))) } (Note: This is better viewed in a source-code editor, such as Notepad++.) 18
  • 20. References 1. Tuazon, E. C., & Atkinson, R. (1990). A product study of the gas‐phase reaction of Isoprene with the OH radical in the presence of NOx. International Journal of Chemical Kinetics, 22(12), 1221-1236. 2. Chameides, W. L., Lindsay, R. W., Richardson, J., & Kiang, C. S. (1988). The role of biogenic hydrocarbons in urban photochemical smog: Atlanta as a case study. Science(Washington), 241(4872), 1473-1475. 3. Jenkin, M. E., Young, J. C., & Rickard, A. R. (2015). The MCM v3. 3.1 degradation scheme for isoprene. Atmos. Chem. Phys, 15(20), 11433-11459. 4. Guenther, C. C. (2006). Estimates of global terrestrial isoprene emissions using MEGAN (Model of Emissions of Gases and Aerosols from Nature). Atmospheric Chemistry and Physics, 6. 5. Karl, M., Brauers, T., Dorn, H. P., Holland, F., Komenda, M., Poppe, D., ... & Wahner, A. (2004). Kinetic Study of the OH‐isoprene and O3‐isoprene reaction in the atmosphere simulation chamber, SAPHIR. Geophysical research letters, 31(5). 6. Seinfeld, J. H., & Pandis, S. N. (2016). Atmospheric chemistry and physics: from air pollution to climate change. John Wiley & Sons. 7. Perring, A. E., Wisthaler, A., Graus, M., Wooldridge, P. J., Lockwood, A. L., Mielke, L. H., ... & Cohen, R. C. (2009). A product study of the isoprene+ NO 3 reaction. Atmospheric Chemistry and Physics, 9(14), 4945- 4956. 8. Skov, H., Hjorth, J., Lohse, C., Jensen, N. R., & Restelli, G. (1992). Products and mechanisms of the reactions of the nitrate radical (NO3) with isoprene, 1, 3-butadiene and 2, 3-dimethyl-1, 3-butadiene in air. Atmospheric Environment. Part A. General Topics, 26(15), 2771-2783. 9. Aschmann, S. M., & Atkinson, R. (1994). Formation yields of methyl vinyl ketone and methacrolein from the gas-phase reaction of O3 with isoprene. Environmental science & technology, 28(8), 1539-1542.. 10. Barket, D. J., Grossenbacher, J. W., Hurst, J. M., Shepson, P. B., Olszyna, K., Thornberry, T., ... & Biesenthal, T. (2004). A study of the NOx dependence of isoprene oxidation. Journal of Geophysical Research: Atmospheres, 109(D11). 20
  • 21. References (cntd.) 11. Von Schneidemesser, E., Monks, P. S., & Plass-Duelmer, C. (2010). Global comparison of VOC and CO observations in urban areas. Atmospheric Environment, 44(39), 5053-5064. 12. Ruppert, L., & Becker, K. H. (2000). A product study of the OH radical-initiated oxidation of isoprene: Formation of C 5-unsaturated diols. Atmospheric environment, 34(10), 1529-1542. 13. Kroll, J. H., & Seinfeld, J. H. (2008). Chemistry of secondary organic aerosol: Formation and evolution of low- volatility organics in the atmosphere. Atmospheric Environment, 42(16), 3593-3624. 14. Sprengnether, M., Demerjian, K. L., Donahue, N. M., & Anderson, J. G. (2002). Product analysis of the OH oxidation of isoprene and 1, 3‐butadiene in the presence of NO. Journal of Geophysical Research: Atmospheres, 107(D15). 15. Kwan, A. J., Chan, A. W. H., Ng, N. L., Kjærgaard, H. G., Seinfeld, J. H., & Wennberg, P. O. (2012). Peroxy radical chemistry and OH radical production during the NO3-initiated oxidation of isoprene. Atmospheric Chemistry and Physics, 12(16), 7499-7515. 16. Paulson, S. E., & Seinfeld, J. H. (1992). Development and evaluation of a photooxidation mechanism for isoprene. Journal of Geophysical Research: Atmospheres, 97(D18), 20703-20715. 21
  • 22. Ozone Isopleth 22 Ozone isopleths used in EPA’s EKMA. (Source: National Research Council, 1991.)
  • 23. Oxidation of VOC 23 Photo-oxidation of VOC. (Source: Finlayson-Pitts, B. J., and Pitts Jr, J. N., 1999)