United States	Air Pollution Training Institute (APTI)	September 2004

Environmental Protection	Mail Drop E14301

Agency	Research Triangle Park, NC 27711

/a ¦ Preparation of Fine

f |	1

Particulate Emission
Inventories

Case Study Solution
Handouts

APTI Course 419B

Developed by

ICES Ltd.

EPA Contract No. 68D99022


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HANDOUT 4-1

Case Study Number 4-1 Solution
Estimating PMi0 and PM2.5 Emissions from Locomotives

Question 1: Are the emission estimation methodologies the same for long haul and
switchyard locomotives?

Answer: The activity data for both line-haul and switchyard locomotives are based on
estimates of the gallons of distillate fuel oil consumed. However, the data provided for
each requires that a different approach be used to estimate fuel consumption.

Question 2: What PM emission factors are applicable to locomotives?

Answer: The PM emissions factors that should be applied to the activity data are the
same factors that were used in the NEI (listed in Table 4-9 of the Student Manual). In
addition, it is assumed that 92% of PMio is PM2.5

Question 3: What is the basis of the activity data for locomotives?

Answer: The activity data are based on an estimate of the gallons of distillate fuel oil

consumed.

Question 4: What is the methodology for estimating PMio and PM25 emissions for line
haul locomotives? For switchyard locomotives?

Answer: Since the activity data is based on gallons of fuel consumed and the emission
factor is in terms of grams per gallon of fuel consumed, estimating emissions is based on
using the available data to calculate fuel consumption.

In the case of line haul locomotives, traffic density can be estimated for each line
segment by multiplying gross tonnage by the total miles of track. The next step in the
emissions calculation process is to estimate the fuel consumption by multiplying the
estimated traffic density by the fuel consumption index. The third step is to multiply the
fuel consumption (gallons per year) by the PMio emission factor (grams per gallon) to
obtain a PMio emission estimate. The fourth step is to apply a conversion factor to
convert grams to tons of emissions. The final step is to calculate the PM25 emission by
applying the particle size multiplier of 0.92 to the PMio emission estimate. These steps
are done for each of the three line segments; however, the third line segment has zero
gross tons operating on that segment, so that segment has zero emissions.

In the case of switchyard locomotives, the first step is to multiply the number of switch
yard locomotives that was provided by the railroad company by EPA's default value for
fuel consumed for both switchyard locomotives to obtain a fuel consumption estimate.
The next step is to multiply the fuel consumption (gallons per year) by the PMio emission
factor (grams per gallon). The third step is to apply a conversion factor to convert grams
to tons of emissions. The final step is to calculate the PM2.5 emission by applying the
particle size multiplier of 0.92 to the PMio emission estimate.

Case Study Number 4-1 - Locomotives

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Question 5: What is your estimate of the PMio and PM2.5 emissions from long-haul

locomotives?

Answer: Line haul locomotive emissions are estimated for line segment 1 as follows:

Step 1: Calculate traffic density

15 million GT x 17 miles = 255 million gross ton miles

Step 2: Estimate fuel consumption

255 million gross ton miles x 0.00139 gal./gross ton-mile = 354,450 gallons/year

Step 3: Estimate emissions

354,450 gallons/year x 6.7 grams/gallon = 2,374,815 grams/year

Step 4: Convert units to tons

2,374,815 grams/yr + 453.6 grams/pound = 5,235.5 pounds/year
5,235.5 pounds/year + 2,000 pounds/ton = 2.62 tons of PMio/year.

Step 5: Calculate PM2 5 emissions

2.62 tons of PMio/year x 0.92 = 2.4 tons of PM2.s/year

These steps are done for each of the three line segments; however, the third line segment

has zero gross tons operating on that segment, so that segment has zero emissions.

The following table presents the collected data and the data that was calculated for each

of the line segments and the sum of total emissions for the entire inventory area.

Summary of Line Haul Emission Calculations

Line

Gross

Distance

Density

Fuel Use

PM10

Segment

Tonnage

in Miles

Million

in

Emissions,



Million



GTM

Gallons

TPY



GT









1

15.0

17.0

255.0

354,450

2.62

2

8.0

15.0

120.0

166,800

1.23

3

0.0

10.5

0.0

0

0

Total

23

42.5

375

521,250

3.86

Question 6: What is your estimate of the PM10 and PM2.5 emissions from switchyard
locomotives?

Answer: Switchyard locomotive emissions are estimated as follows:

Step 1: Estimate fuel consumption

82,500 gal. fuel consumed/switchyard locomotive x 1.8 = 148,500 gallons/year

Step 2: Estimate emissions

148,500 gallons/year x 9.2 grams/gallon = 1,366,200 grams PMio/year

Case Study Number 4-1 - Locomotives

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Step 3: Convert units to tons

1,366,200 grams/yr + 453.6 grams/pound = 3,011.9 pounds/year
3,011.9 pounds/year + 2,000 pounds/ton = 1.51 tons of PMi0/year.

Step 4: Calculate PM2.5 emissions

1.51 tons of PMio/year x 0.92 = 1.39 tons of PM2.s/year

The following table presents the collected data and the data that was calculated for each
switchyard and the sum of total emissions for the entire inventory area.

Summary of Switchyard Emission Calculations

Switch

EPA

Number of

Fuel Use in

PMio

Yard

Estimated

Switchyard

Gallons

Emissions,



Yearly Fuel

Locomotives



TPY



Consumption







1

82,500

1.3

107,250

1.09

2

82,500

0.5

41,250

0.42

Total



1.8

148,500

1.51

Question 7: Why does the railroad data on switchyards show fractions of switchyard
locomotives in use in each switchyard?

Answer: This particular railroad operates two switchyards and provided an estimate of
how often throughout the year each yard was operating. Because EPA assumes that each
locomotive in a switchyard operates 24 hours a day, 365 days a year, locomotives
operating less than this are considered fractions of a locomotive. This explains why the
data shows fractions of switchyard locomotives in use in each switchyard.

Question 8: Do emissions for each line segment and switchyard need to be calculated
individually?

Answer: As shown in this case study, for both line haul and switchyard locomotives,
emissions can be estimated individually for each line segment or switchyard and then
added together to obtain a total for the inventory area OR total fuel consumption can be
estimated for all line haul locomotives and switchyards in the study area. In the latter
case, the emission factor is applied to the total fuel consumption to estimate total
emissions for the inventory area. In the case study the approach of estimating emissions
individually was used for estimating emissions from line haul locomotives. The
approach of estimating fuel consumption for all locomotives before applying the
emission factor was used for switchyard locomotives.

Question 9: How can PMi0 and PM2.5 emissions be estimated for locomotives of the
smaller company that was not able to provide gross tonnage data?

Answer: Another smaller railroad company was operating in the inventory area.
However, this railroad company did not have records on the gross tonnage to allow the

Case Study Number 4-1 - Locomotives

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traffic density to be estimated. In this case, the fuel consumption for that railroad could
be estimated by multiplying the railroad's total fuel consumption by the percent of the
railroad's track mileage in the inventory area. This estimated fuel consumption could
then be multiplied by the emission factor and the particle size multiplier to obtain
emissions estimates for PMio and PM2.5.

For example, assuming the railroad consumes 25,000 gallons of fuel per year and 90
percent of the railroad's track lies within the inventory area, the inventory area fuel
consumption is: 25,000 gal x 90 percent = 22,500 gal. PM10 emissions are then
calculated by applying the emission factor to the estimated fuel consumption as follows:
22,500 gal/year x 0.0148 lbs/gal = 333 lbs/year = 0.17 tons/year. This can be added to
the emission estimate for the larger railroad company to estimate total PMi0 emissions for
the entire inventory area.

Case Study Number 4-1 - Locomotives

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HANDOUT 7-1

Case Study Number 7-1 Solution
Estimating PMi0 and PM2.5 Emissions from Unpaved Roads

Question 1: How is the PM emission factor for unpaved roads calculated?

Answer: Equation 7-8 of the Student Manual shows the AP-42 empirical equation
that is used to calculate the unpaved road emission factor. Specifically,

EF = [k*(s/12)*(S/30)° 5]/[(M/0.5)°2] - C

where: EF = size specific emission factor (tons per mile)
k = empirical constant
s = surface material silt content
M= surface material moisture content
S = mean vehicle speed (mph)

C = emission factor for 1980's vehicle fleet exhaust, brake wear,
and tire wear (lbs/VMT)

Question 2: What emissions from unpaved roads are accounted for by the emission
factor?

Answer: Similar to the AP-42 emission factor equation for paved roads, the unpaved
road emission factor equation only estimates PM emissions from resuspended road
surface material. PM emissions from vehicle exhaust, brake wear, and tire wear are
estimated separately, using EPA's MOBILE6, and are subtracted out of the emission
factor equation.

Question 3: What is the basis of the activity data for unpaved roads?

Answer: The activity data used by the NEI for unpaved roads is state level unpaved
road VMT data that is available from the Federal Highway Administration. In this
case study, the VMT data are provided by a local metropolitan planning organization.

Question 4: What is the methodology for estimating monthly PMi0 emissions from
unpaved roads?

Answer: The methodology involves first using the AP-42 emission factor equation to
calculate an emission factor and then applying the VMT estimate for the study area to
obtain a PMi0 emissions estimate.

Question 5: What is the value for the empirical constant in the emission factor
equation?

Case Study Number 7-1 - Unpaved Roads

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Answer: The empirical constant k in the emissions factor estimation equation is the
NEI default value of 1.8 lb/VMT for PMi0 and 0.27 lb/VMT for PM25. These values
are listed in Equation 7-8 of the Student Manual.

Question 6: What is the value for the default surface material moisture content?
Answer: Table 7-5 in the Student Manual lists the NEI default values for estimating
PM emissions from unpaved roads. The default for surface material moisture content
is 1 percent.

Question 7: How is mean vehicle weight considered in the estimation of PM
emissions from unpaved roads?

Answer: The NEI estimated PM emissions from unpaved roads by using the pre-
December 2003 AP-42 emission factor equation. This equation considers mean
vehicle weight. However, the December 2003 AP-42 emission factor equation does
not consider mean vehicle weight and therefore, it is not used in the calculation of PM
emission in this case study.

Question 8: What is your estimate for the PM10 emission factor for unpaved roads in
the hypothetical county?

Answer: Plugging the following values into Equation 7-8 of the Student Manual
results in an emission factor of 0.0256 pounds per VMT for the month of June for the
study area. Note: the value for C must be converted to lbs/VMT prior to using in the
equation.

k (empirical constant)

1.8 lb PM10/VMT

s (surface material silt content)

7.5 percent

M (surface material moisture content)

1 percent

S (mean vehicle speed)

35 miles per hour

C (emission factor for exhaust, brake
wear, and tire wear)

0.2891 grams PM10/VMT

Question 9: What is your estimate of the PM10 emissions from unpaved roads in the
county for the month of June?

Answer: The monthly emission factor (0.0256 lbs/VMT) is applied to the monthly
VMT estimate of 2.964 million miles per month for the study area to obtain an
estimate of PM10 emissions of 37.9 tons per month for the month of June.

Question 10: How would PM2.5 emissions be estimated if this case study required
that an estimate of PM2.5 be developed?

Answer: PM2.5 emissions are calculated in the same manner as PM10 emissions, with
the exception that the empirical constant (k) for PM2.5 would be used instead of the
empirical constant for PMi0.

Case Study Number 7-1 - Unpaved Roads

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Question 11: How would annual PMio emissions from unpaved roads be calculated?
Answer: All of the monthly PMi0 emission estimates are summed to obtain an annual
PMio emission estimate.

Case Study Number 7-1 - Unpaved Roads	3


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HANDOUT 7-2
Case Study Number 7-2 Solution

Estimating PMi0 and PM2.5 Emissions from Residential Construction

Activities

Question 1: What PM emission factors are applicable to residential construction
activities?

Answer: PMio emission factors are those that were used in the NEI as shown in the
following table (Table 7-9 of the Student Manual).

NEI PMio Residential Construction Emission Factors

Housing Category

Emission Factor
(tons/acre/month)

1-unit housing with basement

0.011 (plus 0.059 tons/cubic
yard of on-site cut/fill)

1-unit housing without basement

0.032

2-unit housing

0.032

Apartments

0.11

Question 2: What is the basis of the activity data for residential construction
activities and how is it measured?

Answer: The number of acres disturbed per year is the activity data for residential
construction. Unlike this case study, direct estimates of the number of acres disturbed
are generally not available, therefore the value for this activity is usually estimated
through the use of housing start data that is available from the Bureau of the Census.

Question 3: What is the methodology for estimating PMio and PM2.5 emissions from
residential construction activities?

Answer: Equation 7-12 of the Student Manual shows the equation used for
estimating PMio emissions from one-unit structures without basements, as well as all
two-unit structures. PM2.5 emissions are estimated by assuming it accounts for 20
percent of PMi0.

Case Study Number 7-2 - Residential Construction

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Question 4: What is your estimate of the PMio and PM2.5 emissions from the
residential construction activities in the county within the past year without
accounting for rule effectiveness, rule penetration, soil moisture, and silt content?
Answer: Emissions must first be estimated individually for 1-unit houses,
apartments, and duplexes using the emission factors and data specific to each of these
types of dwellings and the following equation (Equation 7-12 in the Student Manual).

Emissions = (EF*B*f*m)

where: EF = Emission factor

B = number of housing starts

f = buildings-to-acres conversion factor

m = duration of construction activity (months)

For single unit houses:

Emissions = 0.032 tons/acre/month x 251 bldg. x 0.184 acres/bldg. x 6 months = 8.87
tons

For duplexes:

Emissions = 0.032 tons/acre/month x 2 bldg. x 0.184 acres/bldg. x 6 months = 0.07
tons

For apartments:

Emissions = 0.11 tons/acre/month x 44 bldg. x 0.07 acres/bldg. x 12 months = 4.07
tons

Total PM10 emissions from all residential construction are determine by adding the
emissions from the single housing units, apartments, and duplexes.

PM10 Emissions = 8.87 + 0.07 + 4.07 = 13.0 tons

PM2.5 emissions are calculated by multiplying the PM10 emissions by 20 percent.
PM2.5Emissions = 0.2 x 13.0 tons = 2.6 tons

Question 5: What is your estimate of the PM10 and PM2.5 emissions from the
residential construction activities in the county within the past year accounting for
control efficiency and rule penetration, but not for soil moisture and silt content?
Answer: Adjustments for controls efficiency and rule penetration can be made by
multiplying the results for each type of housing category from above by (1-
(CE/100)(RP/100)) as shown below. Controls in PM10 non-attainment areas are
accounted for by applying a control efficiency of 50% for both PM10 and PM2.5
emissions for all PM10 nonattainment areas. There is no adjustment made for
attainment areas. The 50% value represents best available control methods on
fugitive dust construction activities in the nonattainment counties.

Case Study Number 7-2 - Residential Construction

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For single-unit houses:

8.87 tons x (1 -(50/100)(75/l00)) = 5.54 tons

For duplexes:

0.07 x (1 -(50/100)(75/l00)) = 0.04 tons
For apartments:

4.07 x (1 -(50/100)(75/l00)) = 2.54 tons

Adding these three estimates gives the total PMi0 emissions from all types of
construction adjusted for controls and rule penetration.

PMio Emissions = 5.54 + 0.04 + 2.54 = 8.1 tons

Alternatively, the control and rule penetration adjustments can be applied to the
aggregate PMi0 emissions from all types of construction as follows:

13 tons x (l-(50/100)(l-75/100)) = 8.1 tons

PM2.5 Emissions = 8.1 tons x 0.2 = 1.6 tons

Question 6: What is your estimate of the PMio and PM25 emissions from the
residential construction activities in the county within the past year accounting for
control efficiency, rule penetration, and soil moisture?

Answer: Adjustments for soil moisture content are made by applying the following
formula (Equation 7-13 of the Student Manual):

Moisture Level Corrected Emissions = Base Emissions x (24/PE)

Where:	PE = Precipitation Evaporation value for the county

Therefore, corrected PMio emissions are equal to 8.1 tons x 24/6 = 32.4 tons

Corrected PM25 emissions are equal to 1.6 tons x 24/6 = 6.4 tons

Question 7: What is your estimate of the PMio and PM25 emissions from the
residential construction activities in the county within the past year accounting for
control efficiency, rule penetration, and silt content (but not soil moisture)?
Answer: Emissions are adjusted for the dry silt content in the soil of the area being
inventoried by using the following equation (Equation 7-14 of the Student Manual).

Silt Content Corrected Emissions = Base Emissions x (s/9%)

Where:	s = % dry silt content in soil for area being inventoried

Case Study Number 7-2 - Residential Construction

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Therefore, corrected PMio emissions are equal to 8.1 tons x 4.45 = 36 tons
Corrected PM2.5 emissions are equal to 1.6 tons x 4.45 = 7.1 tons

Question 8: What is your estimate of the PMi0 and PM2.5 emissions from the
residential construction activities in the county within the past year accounting for
control efficiency, rule penetration, soil moisture, and silt content?

Answer: Emissions are adjusted for both soil moisture content and silt content by
applying the appropriate adjustments to the base emissions (already corrected for
controls and rule penetration) as follows:

Corrected Emissions = Base Emissions x 24/PE x (s/9%)

Therefore, corrected PMio emissions are equal to 8.1 tons x 24/6 x 40/9 = 144.2 tons

Corrected PM2.5 emissions are equal to 1.6 tons x 24/6 x 40/9 = 28.5 tons

Question 9: Explain the significance of the adjustments that are made for soil
moisture content and silt content.

Answer: These adjustments have a significant effect on the emissions since the case
study area represents a relatively dry area.

Case Study Number 7-2 - Residential Construction

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HANDOUT 7-3

Case Study Number 7-3 Solution

Estimating PMi0 and PM2 5 Emissions from Road Construction

Activities

Question 1: What PM emission factors are applicable to road construction?

Answer: The PMio emission factor for road construction is 0.42 tons per acre month.
The PM2 5 is assumed to be 20% of the PMi0. (See page 7-18 of the Student Manual)

Question 2: What is the basis of the activity data for road construction?

Answer: The number of acres disturbed is the activity data indicator for road
construction. It is based on State level expenditure data for capital outlay for six road
construction classifications. To obtain the activity data in terms of acres disturbed it is
necessary to convert the expenditure data to mileage and then to acreage. Conversion
factors are available from the NEI to convert dollars to miles and then to convert to acres
disturbed per mile of road activity (See Table 7-10 in the Student Manual).

Question 3: What is the methodology for estimating PMio and PM25 emissions from
road construction?

Answer: Equation 7-16 of the Student Manual shows the basic emission formula used for
calculating PMio emissions from road construction. This involves multiplying the
emission factor by the activity data (converted to an acres basis) and the duration of the
project. PM2.5 emissions are assumed to be 20 percent of the PMio emissions.

Adjustments for controls and rule penetration can be made by multiplying the results
from Equation 7-16 by (1-(CE/100)) and (1-(RP/100)), respectively.

Finally, adjustments are applied for soil moisture content and silt content using Equation
7-13 and Equation 7-14 in the Student Manual, respectively.

Question 4: What is your estimate of the PMio and PM25 emissions from the road
construction activities in the county within the past year without accounting for rule
effectiveness, rule penetration, soil moisture, and silt content?

Answer: In solving this problem, it must be recognized that the State expenditures for
capital outlay on road construction during the last 12 months are not given. However,
since the total miles of road construction are given, the State expenditures are not needed.
In short, the total number of miles of road construction that is given is the product of the
values $ and fl in Equation 7-16 of the Student Manual, thereby allowing this problem to
be solved without knowing the State expenditures or the dollars-to-miles conversion
factor.

Consequently, the answer is the product of the emission factor, the miles of road
construction, the miles-to-acre conversion factor, and the duration of the road
construction activity, as shown below.

Case Study Number 7-3 - Road Construction

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PMio Emissions = EF x m x £2 x d

Where:	EF = emission factor (tons PMio/acre month)

m = 12.3 miles

f2 = miles-to-acre conversion factor
d = duration (months)

PMio Emissions = 0.42 tons/acre month x 12.3 miles x 9.8 acres/mile
x 12 months = 607.5 tons

The value of f2 is obtained from Table 7-10 of the Student Manual. The value of f2 for
urban collectors is 9.8. The value for the emission factor is obtained from Equation 7-16
in the Student Manual.

PM2.5 emissions are calculated by multiplying the PMio emissions by 20 percent.

PM2.5 Emissions = 0.2 x 607.5 tons = 121.5 tons

Question 5: What is your estimate of the PMio and PM2.5 emissions from the road
construction activities in the county within the past year accounting for control efficiency
and rule penetration, but not accounting for soil moisture and silt content?

Answer: Adjustments for controls efficiency and rule penetration can be made by
multiplying the results from Equation 7-16 by (1-(CE/100)(RP/100)) as shown below.

PMio Emissions = 607.5 tons x (l-(50/100)(l-75/100)) = 379.7 tons

PM2.5 Emissions = 379.7 tons x 0.2 = 75.9 tons

Question 6: What is your estimate of the PMio and PM2.5 emissions from the road
construction activities in the county within the past year accounting for control
efficiency, rule penetration, and soil moisture?

Answer: Adjustments for soil moisture content are made by applying the following
formula (Equation 7-13 of the Student Manual):

Moisture Level Corrected Emissions = Base Emissions x (24/PE)

Where:	PE = Precipitation Evaporation value for the county

Therefore, corrected PMio emissions are equal to 379.7 tons x 24/6 = 1,518.8 tons
Corrected PM2.5 emissions are equal to 75.9 tons x 24/6 = 303.6 tons

Case Study Number 7-3 - Road Construction

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Question 7: What is your estimate of the PMio and PM2.5 emissions from the road
construction activities in the county within the past year accounting for control
efficiency, rule penetration, and silt content (but not for soil moisture)?

Answer: Emissions are adjusted for the dry silt content in the soil of the area being
inventoried by using the following equation (Equation 7-14 of the Student Manual).

Silt Content Corrected Emissions = Base Emissions x (s/9%)

Where:	s = % dry silt content in soil for area being inventoried

Therefore, corrected PMi0 emissions are equal to 379.7 tons x 4.45 = 1,689.7 tons
Corrected PM2.5 emissions are equal to 75.9 tons x 4.45 = 337.8 tons

Question 8: What is your estimate of the PM10 and PM2.5 emissions from the road
construction activities in the county within the past year accounting for control
efficiency, rule penetration, soil moisture, and silt content?

Answer: Emissions are adjusted for both soil moisture content and silt content by
applying the appropriate adjustments to the base emissions (already corrected for controls
and rule penetration) as follows:

Corrected Emissions = Base Emissions x 24/PE x (s/9%)

Therefore, corrected PMi0 emissions are equal to 379.7 tons x 24/6 x 40/9 = 6,750 tons
Corrected PM2.5 emissions are equal to 75.9 tons x 24/6 x 40/9 = 1,350 tons
Alternatively, PM2.5 emissions can be calculated by applying the 20 percent value
directly to the corrected PM10 emissions as follows: 6,750 tons of PM10 x 0.2 = 1,350
tons of PM2.5.

Case Study Number 7-3 - Road Construction

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HANDOUT 9-1

Case Study Number 9-1 Solution
Estimating PMi0 Emissions from Residential Wood Combustion

Question 1: What PMio emission factors are applicable to residential wood
combustion?

Answer: The PMio emission factors used in the NEI for fireplaces without inserts are
obtained from Houck, J.E. et al, Review of Wood Heater and Fireplace Emission
Factors. The PMio emission factors for woodstoves and fireplaces with inserts are
obtained from AP-42. The values are listed in the Notes section at the end of this
case study.

Question 2: What is the methodology for estimating PMio emissions from residential
wood combustion?

Answer: Although the emission factors and usage patterns are different for the
various types of wood combustion units, the emission estimation methodology is
basically the same.

The first step in estimating emissions from residential wood combustion is to
determine the number of residential wood combustion units within the county. Data
on the number of homes with wood combustion units are obtained from the results of
the Residential Wood Combustion survey that was conducted in the study area. This
data must be scaled up to reflect the entire county population as opposed to the
surveyed population. In addition, these data need to be adjusted to account for the
fact that some homes have more than one wood combustion unit (multiply by 1.17).

The next step is to use the survey data to estimate the amount of wood burned in each
residential combustion unit. This is done by converting the wood consumption data
from the survey to an annual basis. Specifically, the weekly wood consumption data
is multiplied by the number of weeks in the winter heating season to obtain a winter
heating consumption value and then apportioning based on the seasonal percentages
applied to the climate zone (Table 9-7 of the Student Manual). The wood
consumption values for each season are added together to obtain an annual
consumption number.

Once the annual wood consumption for residential wood combustion units in the
entire county is calculated, the next step is to apply emission factors to determine
county emissions from residential wood combustion units. Because the emission
factors and usage patterns are different for the various types of residential wood
combustion units, it is necessary to perform these calculations separately for each.

Case Study Number 9-1 - Residential Wood Combustion

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Question 3: What is your estimate of the PMio emissions from residential wood
combustion in the county within the past year without accounting for rule
effectiveness or rule penetration?

Answer:

For Fireplaces without Inserts

Step 1 - Scale up the survey data to reflect the number of homes with fireplaces
without inserts in the county.

110 homes/500 homes x 380,000 homes in the county = 83,600 homes

Step 2 - Adjust the data to account for the fact that some homes have more than one
wood combustion unit (multiply by 1.17).

83,600 homes x 1.17 fireplaces/home = 97,812 fireplaces without inserts

Step 3 - Estimate the amount of wood burned seasonally in all fireplaces without
inserts.

]A cord/fireplace without insert/week x 13 weeks/winter heating season = 3.25 cords/
fireplace without insert/winter heating season

Step 4 - Apportion the winter heating season wood consumption based on the
seasonal percentages applied to the climate zone.

Because the county is located in Climate Zone 4 (from Table 9-7 in the Student
Manual), 70 percent of the annual wood consumed is consumed in the winter season.
Therefore, wood usage can be calculated on an annual basis as follows:

0.7 x annual wood usage = 3.25 cords/winter heating season

Solving for annual wood usage = 4.64 cords/year

Step 5 - Estimate total wood consumption for the entire county.

The seasonally adjusted annual value for wood consumption can be multiplied by the
number of fireplaces without inserts in the county to obtain a countywide, annual
wood consumption estimate.

4.64 cords/ fireplace without insert/year x 97,812 fireplaces without inserts = 453,848

cords/year

Step 6 - Estimate emissions emitted from all fireplaces without inserts in the county.

Once the annual wood consumption for residential wood combustion units in the
entire county is calculated, the next step is to apply emission factors to determine
county emissions from residential wood combustion units. However, since the

Case Study Number 9-1 - Residential Wood Combustion

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emission factors are in the units of pounds of particulate per ton of wood burned, it is
necessary to convert the annual wood consumption value from cords per year to tons
per year.

453,848 cords/year x 128 fit3/cord = 58.1 million ftVyear
58.1 million ftVyear x 23.9 pounds/ ft3x 1 ton/2000 pounds = 694,295 tons/year
694,295 tons/year x 23.2 lbs. PMi0/ton wood burned = 16.1 million pounds PMi0/year

16.1 million pounds PMi0/year x 1 ton/2000 pounds = 8,050 tons PMi0/year
For Fireplaces with Inserts

Step 1 - Scale up the survey data to reflect the number of homes with fireplaces with
inserts in the county.

30 homes/500 homes x 380,000 homes in the county = 22,800 homes

Step 2 - Adjust the data to account for the fact that some homes have more than one
wood combustion unit (multiply by 1.17).

22,800 homes x 1.17 fireplaces/home = 26,676 fireplaces with inserts

Step 3 - Estimate the amount of wood burned seasonally in all fireplaces with inserts.

Vi cord/fireplace with insert/week x 13 weeks/winter heating season = 3.25 cords/
fireplace with insert/winter heating season

Step 4 - Apportion the winter heating season wood consumption based on the
seasonal percentages applied to the climate zone.

Because the county is located in Climate Zone 4 (from Table 9-7 in the Student
Manual), 70 percent of the annual wood consumed is consumed in the winter season.
Therefore, wood usage can be calculated on an annual basis as follows:

0.7 x annual wood usage = 3.25 cords/winter heating season

Solving for annual wood usage = 4.64 cords/year

Step 5 - Estimate total wood consumption for the entire county.

The seasonally adjusted annual value for wood consumption can be multiplied by the
number of fireplaces with inserts in the county to obtain a countywide, annual wood
consumption estimate.

Case Study Number 9-1 - Residential Wood Combustion

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4.64 cords/ fireplace with insert/year x 26,676 fireplaces with inserts = 123,777

cords/year

Step 6 - Estimate emissions emitted from all fireplaces with inserts in the county.

Once the annual wood consumption for residential wood combustion units in the
entire county is calculated, the next step is to apply emission factors to determine
county emissions from residential wood combustion units. However, since the
emission factors are in the units of pounds of particulate per ton of wood burned, it is
necessary to convert the annual wood consumption value from cords per year to tons
per year.

123,777 cords/year x 128 fit3/cord = 15.8 million ftVyear

15.8 million ftVyear x 23.9 pounds/ ft3x 1 ton/2000 pounds tons/year = 189,329

tons/year

189,329 tons/year x 30.6 lbs. PMio/ton wood burned = 5.8 million pounds PMio/year

5.8 million pounds PM^/year x 1 ton/2000 pounds = 2,897 tons PM^/year
For Woodstoves

Step 1 - Scale up the survey data to reflect the number of homes with woodstoves in
the county.

40 homes/500 homes x 380,000 homes in the county = 30,400 homes

Step 2 - Adjust the data to account for the fact that some homes have more than one
wood combustion unit (multiply by 1.17).

30,400 homes x 1.17 woodstove/home = 35,568 woodstoves

Step 3 - Estimate the amount of wood burned seasonally in all woodstoves.

1/8 cord/woodstove/week x 13 weeks/winter heating season = 1.625 cords/
woodstove/winter heating season

Step 4 - Apportion the winter heating season wood consumption based on the
seasonal percentages applied to the climate zone.

Because the county is located in Climate Zone 4 (from Table 9-7 in the Student
Manual), 70 percent of the annual wood consumed is consumed in the winter season.
Therefore, wood usage can be calculated on an annual basis as follows:

0.7 x annual wood usage = 1.625 cords/winter heating season

Case Study Number 9-1 - Residential Wood Combustion

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Solving for annual wood usage = 2.32 cords/year

Step 5 - Estimate total wood consumption for the entire county.

The seasonally adjusted annual value for wood consumption can be multiplied by the
number of woodstoves in the county to obtain a countywide, annual wood
consumption estimate.

2.32 cords/ woodstove/year x 35,568 woodstoves = 82,518 cords/year

Step 6 - Estimate emissions emitted from all woodstoves in the county.

Once the annual wood consumption for residential wood combustion units in the
entire county is calculated, the next step is to apply emission factors to determine
county emissions from residential wood combustion units. However, since the
emission factors are in the units of pounds of particulate per ton of wood burned, it is
necessary to convert the annual wood consumption value from cords per year to tons
per year.

82,518 cords/year x 128 ft3/cord = 10.5 million ftVyear

10.5 million ftVyear x 23.9 pounds/ ft3x 1 ton/2000 pounds tons/year = 126,220

tons/year

126,220 tons/year x 34.6 lbs. PMi0/ton wood burned = 4.4 million pounds PMi0/year
4.4 million pounds PMi0/year x 1 ton/2000 pounds = 2,184 tons PMi0/year

Total

Total emissions for residential wood combustion in the county are obtained by adding
the estimates for fireplaces without inserts, fireplaces with inserts, and woodstoves.

8,050 tons PMio/yr + 2,897 tons PMi0/yr + 2,184 tons PMi0/yr = 13,131 tons PMi0/yr

Question 4: What is your estimate of the PMio emissions from residential wood
combustion in the county within the past year accounting for rule effectiveness and
rule penetration?

Answer: Adjustments for rule effectiveness and rule penetration can be made by
multiplying the total countywide emissions by (1-(RE/100)(RP/100)) as shown
below.

13,131 tons PMio/yr x (1-((100/100)(75/100))) = 3,283 tons PMi0/yr

Case Study Number 9-1 - Residential Wood Combustion

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Question 5: If the residential wood combustion survey failed to collect data on the
amount of wood burned, how could emissions from fireplaces without inserts be
calculated?

Answer: If the survey failed to collect data on the amount of wood consumed in the
various residential wood combustion units, data from the US Department of Census
(DOC) would need to be used to estimate wood consumption rates for the county.
However, because the DOC data separates fireplaces without inserts into 2 categories,
those used for heating and those used for aesthetics, it is necessary to separate the
number of homes that use fireplaces without inserts for heating and those that use
them for aesthetic purposes. In order to do this, the survey would need to have
collected data on what the fireplaces is used for (heating or aesthetics). The amount of
wood burned in each device is determined by assuming wood consumption rates of
0.656 cords burned /unit/year for fireplaces used for heating and 0.069 cords/unit/year
for fireplaces used for aesthetics.

Question 6: How would you propose to estimate PM2.5 emissions from residential
wood combustion in the county?

Answer: The PM2.5 emission factor is assumed to be the same as the PMi0 primary
emission factor.

Case Study Number 9-1 - Residential Wood Combustion

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HANDOUT 9-2
Case Study Number 9-2 Solution

Estimating PMi0 and PM2.5 Emissions from Agricultural Field Burning

Question 1: What is the basis of the activity data for agricultural burning?

Answer: The activity data that is used to estimate emissions from agricultural
burning is the number of acres of the crop burned.

Question 2: What does the loading factor represent?

Answer: The loading factor represents the tons of biomass of vegetation per acre
burned, and is used to convert the acres of biomass burned into a mass loading value.
The mass loading is needed because the emission factor is in terms of pounds of PM
per ton of biomass burned.

Question 3: What is the methodology for estimating PMio emissions from
agricultural burning operations?

Answer: The following equation (Equation 9-5 in the Student Manual) shows the
formula for calculating PM emissions from agricultural burning.

E = A * LF * EF

Where: E = Emissions (lbs pollutant/month)

A = Number of acres burned per month

LF = Loading factor (tons/acre)

EF = Emission factor (lbs pollutant/ton)

Question 4: What is your estimate of the PMi0 emissions from wheat stubble burning

in the county for the month of June?

Answer:

Emissions = 1,950 acres x 1 tons/acre x 8.82 lbs PMi0/ton = 17,199 lbs PMio

17,199 lbs PMio x 1 ton/2000 lbs = 8.6 tons PMio

Question 5: How would PM25 emissions be estimated if this case study required that
an estimate of PM25be developed?

Answer: The same equation that was used for PMio is used for PM25, with the
exception that the PM2.5 emission factor is plugged into the equation.

Emissions = 1,950 acres x 1 tons/acre x 8.34 lbs PM25/ton = 16,263 lbs PM2 5

16,262 lbs PM2 5 x 1 ton/2000 lbs = 8.1 tons PM2 5

Case Study Number 9-2 - Agricultural Field Burning

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Question 6: How would annual PMio emissions from agricultural burning be
calculated?

Answer: The formula in Equation 9-5 of the Student Manual is used to calculate
emissions for each month during the burning season. These monthly totals are then
summed to give an annual emissions estimate.

Case Study Number 9-2 - Agricultural Field Burning

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