Risk and Technology Review -

Analysis of Socio-Economic Factors for Populations 

Living Near Acrylic and Modacrylic Fiber Facilities

Prepared by:

EC/R Incorporated

501 Eastowne Drive, Suite 250

Chapel Hill, NC 27514

EPA Contract No. EP-W-12-011

Work Assignment No. 1-03

Prepared for:

Regina Chappell, Work Assignment Manager

Community and Tribal Programs Group

Office of Air Quality Planning and Standards

U.S. Environmental Protection Agency

Research Triangle Park, North Carolina 27711

August 13, 2013
ii

Disclaimer

Although the analysis described in this document has been funded 

wholly or in part by the United States Environmental Protection 

Agency contract EP-W-12-011 to EC/R Incorporated, it has not 

been subject to the Agency's review and therefore does not 

necessarily reflect the views of the Agency, and no official

endorsement should be inferred.
iii

Contents

1. Introduction 1

2. Census Data 2

3. Calculation Methods 3

3.1 Racial, Ethnic and Age Categories and the Total Population 4

3.2 Level of Education 4

3.3 Household Income 5

3.4 Poverty Level 6

3.5 Linguistic Isolation 6

4. Results 7

5. Uncertainty Discussion 9

Appendix A A-1
1

1. Introduction

This document describes the approach used to evaluate the potential cancer risks 

associated with inhalation and air-related exposures to hazardous air pollutants (HAP) in 

different social, demographic, and economic groups within the population living near the single 

acrylic and modacrylic fiber production facility in the United States. This work was carried out 

in support of the U.S. Environmental Protection Agency’s Residual Risk and Technology 

Review (RTR) for acrylic and modacrylic fiber source category emissions subject to Maximum 

Available Control Technology (MACT) requirements under 40 CFR 63 Subpart N. 

In the RTR analysis, the Human Exposure Model, Version 3 (HEM-3)1,2,3 was used to 

estimate cancer risks due to the inhalation of HAP for the populations residing within 50 

kilometers of the single acrylic and modacrylic fiber production facility in the country. HEM-3 

estimates cancer risks at the level of census blocks using the AERMOD state-of-the-art air 

dispersion model developed under the direction of the American Meteorological Society (AMS) / 

EPA Regulatory Model Improvement Committee (AERMIC). Each census block typically 

includes about 50 people. Additional information on the risk analysis is available in the docket 

for the proposed National Emission Standards for Hazardous Air Pollutant Emissions: 

Acrylic and Modacrylic Fibers rulemaking. The docket provides a report covering the inputs 

and specific assumptions, and addressing uncertainties.

In the current analysis, cancer risk estimates from the acrylic and modacrylic fibers 

HEM-3 modeling effort were linked to detailed census data in order to evaluate the distribution 

of risks for different demographic groups (including racial, ethnic, age, economic, educational, 

and linguistically isolated population categories). The following population categories were 

included in this analysis:

Total population

White

Minority

African American (or Black)

Native Americans

Other races and multiracial

Hispanic or Latino

 

1. EC/R. August 2008. Modeling for the Residual Risk and Technology Review Using the Human Exposure 

Model 3 – AERMOD Version. Technical Support Document prepared by EC/R Incorporated for the U.S. 

Environmental Protection Agency, Research Triangle Park, NC. 

2. EC/R. February 2013. The HEM-3 User’s Guide. Prepared by EC/R Incorporated for the U.S. 

Environmental Protection Agency, Research Triangle Park, NC. 

http://www.epa.gov/ttn/fera/data/hem/hem3_users_guide.pdf

3. EC/R. February 2013. Multi HEM-3 and RTR Summary Programs User’s Guide. Prepared by EC/R 

Incorporated for the U.S. Environmental Protection Agency, Research Triangle Park, NC. 

http://www.epa.gov/ttn/fera/data/hem/multi_hem-3_users_guide.pdf
2

Children 17 years of age and under

Adults 18 to 64 years of age

Adults 65 years of age and over 

Adults without a high school diploma

Households earning under the national median income

People living below the poverty line

Linguistically isolated people

The HEM-3 results for a particular census block reflect the estimated level of cancer risk that 

would be experienced by an individual residing within the block boundaries for 70 years. In this 

analysis, the demographic composition of the population estimated to experience a risk greater 

than 1 in 1 million as a result of acrylic and modacrylic fiber facility emissions is compared to 

the demographic composition of the overall nationwide population.

The census data used in this analysis is described in Section 2. The algorithms used to 

compute the distributions of risk and exposure are presented in Section 3. The results of this 

analysis are presented in Section 4. 

2. Census Data

Table 1 summarizes the census data used in the analysis, showing the source of each 

dataset and the level of geographic resolution. All of the data are from the 2010 Decennial 

census. Race, ethnicity and age data are provided by the Census Bureau at the census block 

level. Distributions regarding household income and linguistic isolation are provided at the 

block group level. Distributions regarding educational status and poverty status are at the tract 

level. A census block contains about 50 people on average; and a block group contains about 28 

blocks on average, or about 1,400 people. A census tract is larger than a block group, with each 

tract containing an average of 3 block groups, or about 4,300 people.

Data on race, ethnicity, and age were obtained from tables in the 2010 Census Summary 

File 1 (SF1).4SF1 gives a breakdown for the population of each census block among different 

racial classifications, including: White, African American or Black, American Indian or Native 

Alaskan, Asian, Native Hawaiian or other South Pacific Islander, other race, and two or more 

races. In the current analysis, the Asian, Native Hawaiian or other South Pacific Islander, and 

other race categories were combined into a single category. The SF1 database also indicates the 

number of people in each tract that are of Hispanic or Latino ethnicity. SF1 covers the 50 states, 

the District of Columbia, and Puerto Rico, but does not cover the Virgin Islands. Data for the 

Virgin Islands can be retrieved from similar tables in the Virgin Islands Summary File but were 

not needed for this analysis, since no facilities in this source category are located in the Virgin 

Islands. 

 

4. 2010 Census Summary File 1 – United States: http://www2.census.gov/census_2010/04-Summary_File_1/

prepared by the U.S. Census Bureau, 2011. See also Technical Documentation for the 2010 Census 

Summary File 1.
3

Data on education level, household income, poverty status, and linguistic isolation were 

obtained from tables in the Census’ American Community Survey (ACS) 5-year estimates for 

2005-2009.5 

Table 1. Summary of Census Data used to Analyze Risks for Different 

Socio-economic Groups

Type of population category Source of data

Level of 

geographic 

resolution

Racial categories SF1 Table P3 Census block

Ethnic categories (Hispanic) SF1 Tables P4 & P7 Census block

Age groups SF1 Table P12 Census block

Level of education - adults without a high 

school diploma

ACS Table B15002 Tract

Households earning below the national 

median income

ACS Table B19001 Block group

People living below the poverty line ACS Table B17001 Tract

Linguistically isolated people ACS Table B16002 Block group

3. Calculation Methods

The HEM-3 models the cancer risk and noncancer hazard at a point near the geographic 

center of each census block.6 For the current analysis, this risk estimate was assumed to apply to 

all individuals residing in the block. We used block identification codes to link the HEM-3 

modeling results for each block to the appropriate census statistics. This allowed us to estimate 

the numbers of people falling into different population categories within each block. We then 

analyzed the distribution of estimated inhalation risks within each population category, given the 

numbers of people within the category that are exposed to different risk levels. Each distribution 

involved a tabulation of all the census blocks modeled for the acrylic and modacrylic fiber 

source category. We also computed the average risk for all individuals in each population 

category. 

Distributions of risk and average risks were computed for the raw HEM-3 model results 

for the acrylic and modacrylic fiber source category. For comparison, the nationwide 

demographic composition (i.e., population percentage in each demographic group for the country 

as a whole, based on the 2010 Census) is also provided in the results table. 

 

5. 2009 Five-year American Community Survey – 2005-2009, United States: 

http://www2.census.gov/acs2009_5yr/summaryfile/ prepared by the U.S. Census Bureau, 2011. 

6. HEM-3 generally uses the coordinates given by the census for the internal point, or “centroid” of each 

block. However, when the footprint of an industrial facility includes the block centroid, the model is 

designed to identify the highest-risk point outside of the facility’s footprint.
4

Section 3.1 describes the calculation method used for categories where block-level data 

were available from the Census Bureau – racial, ethnic and age categories and the total 

population. Sections 3.2 through 3.5 describe calculation methods for categories where blocklevel data had to be estimated from tract or block group data provided by the Census Bureau –

education status, household income, poverty status, and linguistic isolation. 

3.1 Racial, Ethnic and Age Categories and the Total Population

Since race, ethnicity and age data are available at the census block level, the calculation 

of risk distributions for these categories involved a simple block-by-block accumulation of the 

people in each category. We began by identifying a set of bins reflecting the level of risk. The 

population of each block was then assigned to the appropriate risk bin based on the modeled risk 

level in the block. The numbers of people in each risk bin were then added together for all of the 

blocks modeled for the acrylic and modacrylic fiber source category:

H(Rab,s) = ∑i

(Ra≤Ri<Rb) [N(s,i)] (1)

where: 

H(Rab,s) = the population count for risk bin Rab, which is between Ra and Rb for population 

subgroup “s”

Ri = the modeled risk level in block “í” (estimated lifetime cases of cancer per 

million population)

∑i

(Ra≤Ri<Rb) refers to the summation over all blocks i where Ri falls in bin Rab, between Ra

and Rb

N(s,i) = the number of people within population subcategory s, in block i

The same approach was used for the total population. The average risk for a given population 

category or for the total population was then calculated using the following equation:

A(S) = ∑i [N(s,i) × Ri] ∕ ∑i [N(s,i)] (2)

where:

A(s) = the average risk for population subgroup “s” (estimated lifetime cases of cancer 

per million population)

∑i refers to the summation over all blocks “í” modeled for the emission source 

category

N(s,i) and Ri were defined above

3.2 Level of Education

Table B15002 of the 2005-2009 ACS dataset specifies the education status for men and 

women age 25 and older for each census tract, based on the last grade completed. To obtain the 

total number of adults without a high school degree, we added together the numbers who had 

completed grades below a high school senior. Thus, the number of people without a high school 

degree equals the sum of the number of males with no schooling, the number of females with no 
5

schooling, the numbers of males and females who have completed nursery school through 4th

grade, up to the numbers of males and females who have completed some high school but not 

received a high school degree.

The number of adults without a high school degree as a fraction of the total population 

was assumed to be the same for each block in the tract. Thus, the number of adults without a 

high school degree in each block was computed as follows:

N(nhs,b/tc) = N(t,b/tc) × N(nhs,tc) ∕ N(t,tc) (3)

where:

N(nhs,b/tc) = number of adults without a high school diploma, in block “b” of tract “tc”

N(t,b/tc) = total number of people in block “b” of tract “tc”

N(nhs,tc) = number of adults without a high school diploma in tract “tc”

N(t,tc) = total number of people in tract “tc”

Equation (1) was then used to generate risk distributions based on the block-level results, and 

Equation (2) was used to compute the average risk for adults without a high school diploma. 

3.3 Household Income

Table B19001 of the 2005-2009 ACS dataset estimates the numbers of households in 

each block group with income for the year 2009 in various ranges, generally divided into $5,000 

increments (e.g. $10,000 to $14,999, $15,000 to $19,999, etc.). The median national income for 

2009 was about $50,000 per year. Therefore, in order to determine the number of households 

with incomes under the median income, we added the estimates for the ranges below that level. 

The following equation was used to estimate the fraction of households below the national 

median income within each census block group:

F(nm,bg) = [C<10 + C10-15 + .... + C35-40 + C40-45 + C45-50] ∕ CT (4)

where:

F(nm,bg) = fraction of households in block group “bg” with incomes below the median 

national income

C<10 = number of households with incomes under $10,000

C10-15 = number of households with incomes from $10,000 to $14,999

C35-40 = number of households with incomes from $35,000 to $39,999

C40-45 = number of households with incomes from $40,000 to $44,999

C45-50 = number of households with incomes from $45,000 to $49,999

CT = total number of households in block group “bg”

The fraction of people living in households below the median income for each block 

within the block group was assumed to be the same as the fraction of households below the 

median income for the block group.
6

N(nm,b/bg) = F(nm,bg) × N(t,b/bg) (5)

where:

N(nm,b/bg) = number of people in block “b” of block group “bg” living in households below 

the national median income

F(nm,bg) = fraction of households in block group “bg” below the national median income

N(t,b/bg) = total number of people in block “b” of block group “bg”

Equation (1) was then used to generate risk distributions based on the block-level results, and 

Equation (2) was used to compute the average risk for people living in households below the 

national median income. It must be noted that this approach neglects any potential relationship 

between household size and income level within a particular block group. However, it is 

expected to provide a reasonable indication of the risk level of people living below the national 

median income, relative to the population as a whole. 

3.4 Poverty Level

Table B17001 of the 2005-2009 ACS dataset estimates the total number people in each 

census tract living below the poverty level, as well as the numbers of people below the poverty 

level in different age groups. The current study did not include an analysis of poverty status by 

age group, only of the total population below the poverty line. The fraction of people below the 

poverty line was assumed to be the same for each block in the census tract. Thus, the population 

below the poverty line in each block was computed as follows:

N(p,b/tc) = N(T,b/tc) × N(p,tc) ∕ N(T,tc) (6)

where:

N(p,b/tc) = number of people below the poverty line in block “b” of tract “tc”

N(T,b/tc) = total number of people in block “b” of tract “tc”

N(p,tc) = number of people below the poverty line in tract “tc”

N(T,tc) = total number of people in tract “tc”

Equation (1) was then used to generate risk distributions based on the block-level results, and 

Equation (2) was used to compute the average risk for people living below the poverty level. 

3.5 Linguistic Isolation

Table B16002 of the 2005-2009 ACS dataset estimates the fraction of households in 

linguistic isolation in each block group. For this analysis, the fraction of people living in 

linguistic isolation for each block within the block group was assumed to be the same as the 

fraction of households in linguistic isolation for the block group. Thus, the population of 

linguistically isolated people in each block was computed as follows:

N(li,b/bg) = F(li,bg) × N(t,b/bg) (7)
7

where:

N(li,b/bg) = number of people in block “b” of block group “bg” living in linguistically 

isolated households

F(li,bg) = fraction of households in block group “bg” in linguistic isolation

N(t,b/bg) = total number of people in block “b” of block group “bg”

Equation (1) was then used to generate risk distributions based on the block-level results, and 

Equation (2) was used to compute the average risk for people living in linguistic isolation.

4. Results

The distribution of estimated lifetime inhalation cancer risks greater than or equal to1 in a 

million for different demographic groups among the population living near the single acrylic and 

modacrylic fiber facility is shown in Table 2. For comparison purposes, Table 2 also provides 

the nationwide percentages of these various demographic groups. Detailed demographics data 

and analyses used to create Table 2 can be found in Appendix A of this document. 

The results of the demographic analysis presented in Table 2 indicate that there are 

approximately 81,220 people exposed to a cancer risk greater than or equal to 1-in-1 million as a 

result of acrylic and modacrylic fiber emissions. The demographic results for the population 

potentially impacted by acrylic and modacrylic fiber emissions indicate that the minority and 

African American percentages are higher than the national percentages for these categories (37% 

minority compared to 28% nationwide, and 30% African American compared to 13% 

nationwide). Furthermore, the demographic results for the population potentially impacted by 

these source category emissions indicate that the percentage of people over 25 and without a 

high school diploma is also slightly higher than the nationwide percentage (17% compared to 

15% nationwide). The other demographic percentages for the people exposed to a risk greater 

than or equal to 1-in-1 million as a result of acrylic and modacrylic fiber emissions are 

essentially the same or lower than the respective nationwide percentages. 
8

Table 2. Summary of Demographic Assessment of Risk Results for the Acrylic and Modacrylic Fiber Source 

Category

Emissions 

Basis

Demographic Group

Total Minority2

African 

American

Other and

Multiracial

Hispanic

or 

Latino

Native 

American

Ages 0 

to 17

Ages 18 

to 64

Ages 65 

and up

Below the 

Poverty 

Level

Over 25 

Without a 

HS 

Diploma

Linguistic 

Isolation

Nationwide 

Demographic 

Breakdown 

(2010 Census)

n/a 312,861,265 28% 13% 14% 17% 1.1% 24% 63% 13% 14% 15% 6.5%

Maximum 

Risk 

(in 1 

million)

Population With Cancer Risk Greater Than or Equal to 1 in 1 million3

Source 

Category1 20 81,220 37% 30% 7% 6% 0.4% 25% 63% 12% 14% 17% 2%

Notes:

1

Source Category emissions were estimated based on 2012 RTR data.

2Minority population is the total population minus the white population.

3

Population figures are for the population residing within 50 km from the center of these facilities whose cancer risks are estimated to be greater 

than or equal to 1 in a million.
9

5. Uncertainty Discussion

Our analysis of the distribution of risks across various demographic groups is subject to 

the typical uncertainties associated with census data (e.g., errors in filling out and transcribing 

census forms), which are generally thought to be small, as well as the additional uncertainties 

associated with the extrapolation of census tract level data (e.g., education status and poverty 

status) and census block group data (e.g., income level and linguistic isolation) down to the 

census block level. 

The uncertainties in these risk estimates include the same uncertainties in emissions data 

sets, in air dispersion modeling, in inhalation exposure and in dose response relationships that are 

associated with our source category risk estimates.

The methodology for our demographic analyses is still evolving. While this is our best 

attempt to provide useful information now, our thinking is continuously advancing. EPA is in 

the process of developing technical guidance for environmental justice analyses. We present 

these analyses, with their associated uncertainties, to EPA decision makers and the public as 

additional analyses to inform RTR decisions.
10

This page intentionally left blank
A-1

Appendix A
A-2

Total 

population White

African 

American

Native 

American

Other and 

multiracial

Hispanic or 

Latinoc

0 to 1 933,513 716,612 155,127 2,911 58,863 56,672

1 to 5 79,351 50,038 23,365 298 5,650 5,192

5 to 10 1,024 469 495 6 54 24

10 to 20 838 424 361 1 52 25

20 to 30 7 7 0 0 0 0

30 to 40 0 0 0 0 0 0

Total number 1,014,733 767,550 179,348 3,216 64,619 61,913

0.405 0.379 0.503 0.433 0.431 0.429

Notes:

cThe Hispanic or Latino population is double-counted in this analysis, since different individuals within the 

category may classify themselves as White, African American, Native American, or other.

Table A-1. Distribution of Inhalation Cancer Risk for Racial and Ethnic Groups

aModeled risks are for a 70-year lifetime, based on the predicted outdoor concentration and not adjusted for 

exposure factors.

Range of lifetime individual 

cancer risk (chance in one 

million)a

Average risk (chances in 

one million)

bDistributions by race are based on demographic information at the census block level. Risks from AMF 

emissions were modeled at the census block level. 

Modeled risk from the Acrylic/Modacrylic 

Fibers (AMF) source category

Numbers of people in different ranges for lifetime cancer riskb
A-3

Total 

population

Ages 0 thru 

17

Ages 18 thru 

64

Ages 65 and 

up

0 to 1 933,513 221,063 587,208 125,242

1 to 5 79,351 19,705 49,682 9,964

5 to 10 1,024 274 649 101

10 to 20 838 256 506 76

20 to 30 7 0 2 5

30 to 40 0 0 0 0

Total number 1,014,733 241,298 638,047 135,388

0.405 0.421 0.403 0.386

Notes:

Table A-2. Distribution of Risk for Different Age Groups

Modeled risk from the Acrylic/Modacrylic Fibers 

(AMF) source category

bDistributions by age are based on modeled risk and age data at the census block level.

Range of lifetime individual 

cancer risk (chance in one 

million)a

Numbers of people in different ranges for lifetime cancer 

riskb

Average risk (chances in one 

million)

aModeled risks are for a 70-year lifetime, based on the predicted outdoor concentration and 

not adjusted for exposure factors.
A-4

Total 

population

Total number 

25 and older

Number 25 and older 

without a high school 

diploma

0 to 1 933,513 612,079 116,143

1 to 5 79,351 52,886 8,918

5 to 10 1,024 657 130

10 to 20 838 484 96

20 to 30 7 7 1

30 to 40 0 0 0

Total number 1,014,733 666,113 125,288

0.405 0.408 0.373

Notes:

Table A-3. Distribution of Risk for Adults with and without a High School Diploma

Modeled risk from the Acrylic/Modacrylic Fibers 

(AMF) source category

bDistributions by education level are based on modeled risk at the census block level, and 

education data at the census tract level. All census blocks in a tract are assumed to have the 

same education level distribution.

Range of lifetime individual cancer 

risk (chance in one million)a

Numbers of people in different ranges for lifetime 

cancer riskb

Average risk (chances in one 

million)

aModeled risks are for a 70-year lifetime, based on the predicted outdoor concentration and 

not adjusted for exposure factors.
A-5

Total 

population

People living in 

households below 

the national median 

incomec

People living 

below the 

poverty line

0 to 1 933,513 513,542 139,614

1 to 5 79,351 43,381 10,976

5 to 10 1,024 563 176

10 to 20 838 461 139

20 to 30 7 4 1

30 to 40 0 0 0

Total number 1,014,733 557,951 150,906

0.405 0.388 0.369

Notes:

c

The median income is the national median household income in 2009, about $50,000.

Modeled risk from the Acrylic/Modacrylic Fibers 

(AMF) source category

Average risk (chances in one 

million)

aModeled risks are for a 70-year lifetime, based on the predicted outdoor concentration 

and not adjusted for exposure factors.

bDistributions by income and poverty status are based on modeled risk at the census block 

level, income data at the block group level, and poverty status at the census tract level. 

All census blocks in a block group or tract are assumed to have the same income 

distribution or poverty status, respectively.

Table A-4. Distribution of Risk for People Living in Households below the 

National Median Income and Below the Poverty Line

Range of lifetime individual 

cancer risk (chance in one 

million)a

Numbers of people in different ranges for lifetime 

cancer riskb
A-6

Total 

population

People living in 

linguistic isolation

0 to 1 933,513 28,782

1 to 5 79,351 1,905

5 to 10 1,024 25

10 to 20 838 21

20 to 30 7 0

30 to 40 0 0

Total number 1,014,733 30,733

0.405 0.387

Notes:

aModeled risks are for a 70-year lifetime, based on the predicted 

outdoor concentration and not adjusted for exposure factors.

bDistributions of linguistic isolation are based on modeled risk at the 

census block level, and linguistic isolation data at the block group 

level. All census blocks in a block group are assumed to have the 

same linguistic isolation population distributions.

Table A-5. Distribution of Risk for People Living in 

Linguistic Isolation

Range of lifetime individual 

cancer risk (chance in one 

million)a

Numbers of people in different 

ranges for lifetime cancer riskb

Modeled risk from the Acrylic/Modacrylic Fibers 

(AMF) source category

Average risk (chances in one 

million)