Figure 11 displays time plots of the concentration within the tent for each of the three exposure scenarios that were modeled. For each scenario, concentrations rise rapidly from zero and reach a peak value after ten minutes when the spraying ends. Following the end of application, concentrations fall exponentially and asymptotically approach zero. Table 28 presents a summary of the calculation of estimated concentrations for the application and post-application periods.

Figure 11. Time plots of permethrin air concentrations

Table 28. Calculation of indoor air concentrations for permethrin, 0.5%

Exposure scenario High Medium Low
Emission rate (mg/min) 8.505 8.505 8.505
Duration of application (min) 10 10 10
Duration of assumed exposure (min) 480 480 480
Tent volume (m3) 123 123 123
Air exchange rate (air changes/hour) 2 4 6
Air exchange rate (air changes/min) 0.0333 0.0667 0.1
Ventilation rate (m3/min) 4.1 8.2 12.3
 
Phase I (Application period)      
Concentration at end of application (mg/m3) 0.5880 0.5047 0.4371
Average concentration during Phase I (mg/m3) 0.3103 0.2802 0.2544
 
Phase II (Post-application period)      
Concentration at beginning of Phase II (mg/m3) 0.3103 0.2802 0.2544
Duration of Post-application exposure (min) 470 470 470
Average concentration during Phase II (mg/m3) 0.0198 0.0089 0.0054
Average concentration over duration of exposure (mg/m3) 0.0259 0.0146 0.0106

Table 29 summarizes the average permethrin concentrations estimated within the tent for each modeled scenario for the assumed 8-hour exposure period following the onset of spraying.

Table 29. Permethrin air modeling results

Case Scenario 8-hour Average Concentration(mg/m3)
1 Low exposure 0.0106
2 Medium exposure 0.0146
3 High exposure 0.0259


(4) Personal-Use Products Dose - Post Application

Table 30 presents the doses potentially resulting from post-application (and application) exposure to DEET. As noted previously, only the dermal exposure route is relevant for DEET; thus, two types of doses are presented in Table 30 for the evaluation of noncarcinogenic effects: PDRD and ADD. The EPA has not associated DEET with carcinogenic activity (Tab D, Section D, "Toxicity Assessment"), so investigators did not calculate LADDs.

Table 30. DEET, dose rates - post application, for evaluation of noncarcinogenic effectsa

Formulation

Exposure Group

Exposure Point

ABS

PDRO (mg/kg/d)

PDRD (mg/kg/d)

ADD (mg/kg/d)

PDRI (mg/kg/d)

DEET,
33% stick/cream
Low -

0.2

- 2.36E+01 4.71E+00 -
Medium -

0.2

- 4.71E+01 9.43E+00 -
High -

0.2

- 1.65E+02 3.30E+01 -
DEET,
75% liquid
Low -

0.2

- 5.36E+01 1.07E+01 -
Medium -

0.2

- 1.07E+02 2.14E+01 -
High -

0.2

- 3.75E+02 7.50E+01 -

Formulas:
(1) PDRD = (CS x CF x N x SA x AR)/BW
(2) ADD = PDRD x ABS

a)

ABS = dermal absorption factor.
PDRD = potential dose rate for dermal contact.
ADD = absorbed dermal dose.
PDRI = potential dose rate for inhalation.
CS = a.i. concentration in the formulation.
A dash (-) indicates that the item is not applicable.

CF = conversion factor.
N = number of applications per day.
SA = skin surface area available for contact.
AR = skin application rate.
BW = body weight.


Table 31 presents doses potentially resulting from post-application exposure to permethrin, 0.5% aerosol. There are three types of doses presented for the evaluation of noncarcinogenic effects: PDRD, ADD, and PDRI. Table 32 presents the application doses for the evaluation of potential post-application carcinogenic effects for permethrin. The two types of doses shown are LADDD and LADDI.

Table 31. Permethrin, dose rates - post application, for evaluation of noncarcinogenic effectsa

Formulation

Exposure

Group

Exposure

Point

ABS

PDRD

(mg/kg/d)

ADD

(mg/kg/d)

PDRI

(mg/kg/d)

Permethrin,
0.5% aerosol
Low - 0.02 5.36E-02 1.07E-03 1.94E-03
Medium - 0.02 5.36E-02 1.07E-03 2.67E-03
High - 0.02 5.95E-02 1.19E-03 4.74E-03

Formulasb:
(1) PDRD = (CS x MF x SA)/BW
(2) ADD = PDRD x ABS
(3) PDRI = (CA x IRA x ET)/BW

a) A dash (-) indicates that the item is not applicable.
ABS = dermal absorption factor.
PDRD = potential dose rate for dermal contact.
ADD = absorbed dermal dose.
PDRI = potential dose rate for inhalation.
CS = concentration of a.i. in a BDU.
MF = BDU-to-skin migration factor.
SA = surface area available for dermal contact.
BW = body weight.
CA = concentration of a.i. In air.
IRA = inhalation rate.
ET = exposure time (mess and latrine).
b) Formula 1 is adapted from EPA.[219]


Table 32. Permethrin, lifetime average daily doses - post application, for evaluation of carcinogenic effects
a

Formulation

Exposure Group

Exposure Point

LADDD

(mg/kg/d)

LADDI

(mg/kg/d)

Permethrin,
0.5% aerosol
Low - - -
Medium - 5.03E-06 8.36E-06
High - - -

Formulab:
(1) LADDD = (ADD x EFD x ED)/AT
(2) LADDI = (PDRI x EFI x ED)/AT

a) LADDD = lifetime average daily absorbed dose via dermal contact.
LADDI = lifetime average daily absorbed dose via inhalation.
A dash (-) indicates that the item is not applicable.
ADD = absorbed dermal dose.
EFD = exposure frequency for dermal contact.
EFI = exposure frequency for inhalation.
ED = exposure duration.
AT = averaging time.

b)

Formulas adapted from EPA.[220]


4. Area Spray

Eight percent of the PM exposure interviews cited use of d-phenothrin, 2% aerosol (Table 13). The survey (Table 8) indicated that up to 28% of servicemembers may have used d-phenothrin; however, this is probably a significant overestimate. The value of 28% includes an unknown portion of other aerosol products. d-Phenothrin was used to control sand flies, filth flies, and mosquitoes. The predominant use of d-phenothrin was as an area spray inside tents and other structures (Table 13). In the PM exposure interviews, 79% of interviewees who mentioned d-phenothrin indicated that it was used mainly indoors. The military supplied the formulation in a 2-oz aerosol spray can containing a mixture of the active ingredient, and various inert ingredients such as solvents and/or propellants.

a. Application Scenarios

It is most likely that the majority of servicemembers who used d-phenothrin aerosol did so without using personal protective equipment such as gloves and respirator. The PPE would not normally have been required. d-Phenothrin was widely available to servicemembers, and was not restricted to servicemembers trained in pesticide product application. In the PM exposure interviews, 74% of the interviewees who mentioned d-phenothrin did not even respond to the question on PPE. The label directs the user to ventilate buildings, vans, and tents before re-entry.[221] We have no way of knowing the extent to which troops followed this direction. Table 33 presents the assumptions for application of d-phenothrin, 2% aerosol.

Table 33. d-Phenothrin assumptions for application

Factor Units Definition/Explanation

Assumptions by Level

Source/Rationale
Low Medium High
UE mg/lb a.i. Unit dermal exposure 190 190 190 1998 PHED Guide: Aerosol[222]
UIE mg/lb a.i. Unit inhalation exposure 1.3 1.3 1.3 1998 PHED Guide: Aerosol[223]
AR g Application rate per 1,000 ft3 10 10 10 product label[224]
N d-1 Number of applications 1 1 4 Survey (Table 10)
VR ft3 Volume of room 4,343 4,343 4,343 GP medium tent
WF g/d Mass of formulation handled 43 43 174 AR x N x (VR/1,000)
WA lb a.i./d Weight of a.i. handled 1.9E-03 1.9E-03 7.7E-03 WF x (1 LB/454g) x 0.02
EF d/mo Exposure frequency 2 30 30 Survey (Table 10)
ED mo Exposure duration 2 4 6 PM interviews (Table 13)
ABS - Dermal absorption factor 0.02 0.02 0.02 Surrogate valuea
a) Value for permethrin, based on structural similarity. A dash (-) indicates that the item is not applicable.

b. d-Phenothrin Dose Rates - Application

Table 34 presents the doses potentially resulting from application exposure to d-phenothrin, 2% aerosol. As noted previously, only the inhalation exposure route is relevant for d-phenothrin; thus, only one type of dose is presented in Table 34 for the evaluation of noncarcinogenic effects: PDRI. The EPA has not associated d-phenothrin with carcinogenic activity, so investigators did not calculate LADDs (Tab D, Section D, "Toxicity Assessment").

Table 34. d-Phenothrin, dose rates - application, for evaluation of noncarcinogenic effectsa

Formulation

Exposure

Group

Exposure

Point

ABS

PDRD

(mg/kg/d)

ADD

(mg/kg/d)

PDRI

(mg/kg/d)

d-Phenothrin
2% aerosol
Low - 0.02 5.19E-03 1.04E-04 3.55E-05
Medium - 0.02 5.19E-03 1.04E-04 3.55E-05
High - 0.02 2.08E-02 4.15E-04 1.42E-04

Formulasb:
(1) PDRD = (UE x WA)/BW
(2) ADD = PDRD x ABS
(3) PDRI = (UIE x WA)/BW

a) ABS = dermal absorption factor.
PDRD = potential dose rate for dermal contact.
ADD = absorbed dermal dose.
PDRI = potential dose rate for inhalation.
A dash (-) indicates that the item is not applicable.
UE = unit dermal exposure.
WA = mass of a.i.
BW = body weight.
UIE = unit inhalation exposure.
b) Formulas 1 and 3 adapted from EPA, 1997.[225]


c. Post-Application Scenarios

Table 35 presents the assumptions for post-application exposure to d-phenothrin, 2% aerosol. The only relevant post-application exposure route is inhalation.[226] Dermal and oral exposure would almost certainly have been inconsequential. The amount of dislodgeable residue remaining on treated surfaces would have been very low, and the opportunity for contact of large surface areas of skin minimal.

Table 35. d-Phenothrin assumptions for post application

Factor Units Definition/Explanation

Assumptions by Level

Source/Rationale
Low Medium High
ET h/d Exposure time 8 8 8 See notea
EF d/mo Exposure frequency for inhalation 2 30 30 Survey (Table 10)
ED mo Exposure duration 2 4 6 PM interviews (Table 13)
CA mg/m3 Concentration of a.i. in air 3.56E-05 5.26E-05 1.0E-04 Air modeling; 8-hour averages
a) Assumed time in the general purpose medium tent immediately following d-phenothrin application.


d. Air Modeling for d-Phenothrin

The air modeling procedure used for d-phenothrin, 2% aerosol is the same as that described for permethrin; most of the assumptions are the same as well. The details may be found in the permethrin air modeling subsection. The inputs which differ from permethrin are described below. The calculations are presented in Table 36.

Table 36. Calculation of indoor air concentrations, d-phenothrin, 2%

Exposure scenario Low Medium High

Emission rate (mg/min)

0.55728 0.55728 0.55728

Duration of application (min)

0.72 0.72 0.72

Duration of assumed exposure (min)

480 480 480

Tent volume (m3)

123 123 123

Air exchange rate (air changes/hour)

6 4 2

Air exchange rate (air changes/min)

0.1 0.0667 0.0333

Ventilation rate (m3/min)

12.3 8.2 4.1
 

Phase I (Application Period)

     

Concentration at end of application (mg/m3)

3.15E-03 3.19E-03 3.22E-03

Average concentration during Phase I (mg/m3)

1.59E-03 1.61E-03 1.62E-03
 

Phase II (Post-application Period)

     

Concentration at beginning of Phase II (mg/m3)

1.59E-03 1.61E-03 1.62E-03

Duration of Post-application exposure (min)

479.28 479.28 479.28

Average concentration during Phase II (mg/m3)

3.32E-05 5.02E-05 1.01E-04

Average concentration over duration of exposure (mg/m3)

3.56E-05 5.26E-05 1.04E-04


Investigators calculated the emission rate of d-phenothrin to the indoor air according to the same mass balance equation used for permethrin.

The recommended application rate is 10 g per 1,000 ft3 (Table 36). The product label states that the time required to discharge 10 g is 10 seconds.[227] Thus, a GP medium tent would require 43 seconds (0.72 min) to treat. Additionally, investigators assumed that 90% of the material discharged goes into the air, while 10% is deposited on surfaces, since the label directs the user to spray into the air. Investigators calculated the emission rate as follows:

p = 0.02 (2%)
S = 43 g
f = 0.90 (90%)
t = 0.72 min
E = 0.5573 mg/min

Table 37 summarizes the average d-phenothrin concentrations estimated within the tent for each modeled scenario for the assumed 8-hour exposure period following the onset of spraying.

Table 37. Average estimated d-phenothrin concentrations

Case Scenario 8-hour Average Concentration (mg/m3)
1 Low exposure 3.56E-05
2 Medium exposure 5.26E-05
3 High exposure 1.04E-04

e. d-Phenothrin Dose Rates - Post Application

Table 38 presents the doses potentially resulting from post-application exposure to d-phenothrin, 2% aerosol. As noted previously, only the inhalation exposure route is relevant for d-phenothrin; thus, only one type of dose is presented in Table 38 for the evaluation of noncarcinogenic effects: PDRI. The EPA has not associated d-phenothrin with carcinogenic activity, so investigators did not calculate any LADDs (Tab D, Section D, "Toxicity Assessment").

Table 38. d-Phenothrin, dose rates - post application, for evaluation of noncarcinogenic effectsa

Formulation

Exposure Group

Exposure Point

ABS

PDRD (mg/kg/d)

ADD (mg/kg/d)

PDRI (mg/kg/d)

d-Phenothrin 2% aerosol Low - - - - 6.50E-06
Medium - - - - 9.61E-06
High - - - - 1.89E-05

Formula:
PDRI = (CA x IRA x ET)/BW

a) ABS = dermal absorption factor.
PDRO = potential dose rate for ingestion.
PDRD = potential dose rate for dermal contact.
ADD = absorbed dermal dose.
A dash (-) indicates that the item is not applicable.
PDRI = potential dose rate for inhalation.

CA = concentration of a.i. In air
BW = body weight.
IRA = inhalation rate.
ET = exposure time (mess and latrine).

5. Fly Baits

According to the RAND survey, up to 12% of servicemembers used or witnessed the use of fly baits, while the PM interviews indicate a usage rate of at least 43%. In addition to the survey and PM interviews, investigators conducted fly bait interviews from December 1997 through February 1998 to get specific exposure data on fly baits. Fly baits were applied not only by trained applicators, but widely applied by untrained servicemembers.

The exposure assessment for methomyl, 1% crystals, is similar in most respects to that done for azamethiphos, 1% crystals. The one difference between the two exposure assessments is the consideration of exposure to methomyl vapor in tanks. Investigators assumed vapor release was potentially consequential for methomyl due to its higher vapor pressure, whereas vapor release was not a consequential factor for azamethiphos. There were a few reports of servicemembers using fly baits in tanks, and many servicemembers spent substantial amounts of time in tanks and other vehicles. According to the survey (Table 12), 10% of Army servicemembers slept in vehicles, and EPA[228] recommended considering exposure to methomyl vapor released from fly baits into tanks.

a. Application Scenarios

(1) Common Elements

Table 39 presents the common assumptions for application exposure. The low exposure level represents application personnel who operated under favorable conditions to minimize exposure; that is, servicemembers were located in permanent facilities in urban areas, fly populations were minimal, gloves were used, and personal hygiene was good. The consequential exposure routes were dermal contact and inhalation.

Table 39. Fly baits, common assumptions for applicationa

Factor Units Definition/Explanation

Assumptions by Level

Source/Rationale
Low Medium High
UE mg/lb a.i. Unit dermal exposure for dispersal 71 71 71 1998 PHED Guide[229]
UIE mg/lb a.i. Unit inhalation exposure for dispersal 0.47 0.47 0.47 1998 PHED Guide[230]
WF lb/d Weight of formulation handled 1 2 4 See note;b product label[231]
CS mg/kg Concentration of a.i. in the formulation 10,000 10,000 10,000 1% = 10,000 mg/kg
WA lb a.i./d Weight of a.i. handled 0.02 0.04 0.08 WF x 0.01
CF kg/mg Unit conversion factor 1E-06 1E-06 1E-06 Standard
Events d-1 Dermal exposure events 1 1 1 See notec
SA cm2 Skin surface area available for contact 210 210 210 EPA[232]
IR mg/d Ingestion rate - - 50 EPA;[233] EPA[234]
AF mg/cm2 Dust-to-skin adherence factor 0.047 0.047 0.47 EPA;[235] PHED Guide[236]
a) A dash (-) indicates that the item is not applicable.
b) There is no information available on how much formulation was actually applied by an applicator on a given day. Given the application rate on the label, and the size of the container, combined with the general in formation from fly bait interviews and PM interviews, a range of 1 to 4 lb per day per applicator was selected.
c) Assumption of one exposure event per day is reasonable given that dermal transfer of a.i. from particle-bound residues is likely to have been extremely slow.

The medium exposure level represents servicemembers who operated under fair conditions; that is, reasonably clean, well constructed temporary facilities in semi-rural areas, where fly populations were moderate, gloves were used, and personal hygiene was good. The consequential exposure routes were dermal contact and inhalation.

The high exposure level represents application personnel who operated under unfavorable conditions; that is, servicemembers were located in temporary facilities in rural locations, fly populations were very high, gloves were frequently not used, and personal hygiene was poor. The consequential exposure routes were incidental ingestion, dermal contact, and inhalation.

Investigators handled dermal exposure of applicators by combining two inputs: the unit dermal exposure (UE) plus the exposure of one hand, gloved or not, as appropriate. The factor "events" represents the number of exposure events occurring per day where the skin surface area available for contact (SA) is covered by formulation dust, and all the active ingredient present in dust contacting skin is available for absorption. The investigators selected the value of 1 for events. In fact, the dermal transfer of active ingredient from particle-bound pesticide active ingredient residues is likely to be extremely slow. EPA’s Office of Pesticide Programs specifically questioned the bioavailability of dermal exposure to particle-bound pesticide active ingredient residues.[237] Investigators selected the dust-to-skin adherence factor (AF) of 0.47 mg/cm2 for the high-exposure group because it is a high-end published value. Investigators reduced the AF by a factor of 10 for the low and medium exposure groups based on assumed glove usage.

(2) Azamethiphos

Twenty-seven percent of the PM exposure interviews cited use of azamethiphos, 1% crystals. Table 40 presents the specific assumptions for azamethiphos crystals.

Table 40. Azamethiphos assumptions for applicationa

Factor Units Definition/Explanation

Assumptions by Level

Source/Rationale
Low Medium High
ET h/d Exposure time 1 4 8 PM interviews (Table 13)b
EF d/mo Exposure frequency 4 22 30 PM interviews (Table 13)
ED mo Exposure duration 3 5 9 PM interviews (Table 13)
ABS - Dermal absorption factor 0.27 0.27 0.27 Ciba-Geigy[238]
a) A dash (-) indicates that the item is not applicable.
b) The low value is the 10th percentile from the PM exposure interviews. It is unlikely that personnel spent more than 8 hours per day applying fly baits.

(3) Methomyl

Forty-three percent of the PM exposure interviews cited use of methomyl, 1% crystals. Table 41 presents the specific assumptions for methomyl crystals.

Table 41. Methomyl assumptions for applicationa

Factor Units Definition/Explanation

Assumptions by Level

Source/Rationale

Low

Medium

High

ET h/d Exposure time 1 4 8 PM interviews (Table 13)b
EF d/mo Exposure frequency 1 18 30 PM interviews (Table 13)
ED mo Exposure duration 1 4 8 PM interviews (Table 13)
ABS - Dermal absorption factor 0.5 0.5 0.5 Hayes et al.[239]
a) A dash (-) indicates that the item is not applicable.
b) The low value is the 10th percentile from the PM exposure interviews. It is unlikely that personnel spent more than 8 hours per day applying fly baits.


(4) Fly Bait Doses - Application

Table 42 presents doses potentially resulting from exposure during application of fly baits. There are four types of doses presented for the evaluation of noncarcinogenic effects: PDRO, PDRD, ADD, and PDRI. The manufacturer has not associated azamethiphos with carcinogenic activity, and the EPA has not associated methomyl with carcinogenic activity (Tab D, Section D, "Toxicity Assessment"), so investigators did not calculate LADDs.

Table 42. Fly baits, dose rates - application, for evaluation of noncarcinogenic effectsa

Formulation

Exposure Group

ABS

PDRO (mg/kg/d)

PDRD (mg/kg/d)

ADD (mg/kg/d)

PDRI (mg/kg/d)

Azamethiphos, 1% crystals Low 0.27 -

1.16E-02

3.12E-03

6.71E-05
Medium 0.27 -

2.17E-02

5.86E-03

1.34E-04
High 0.27 7.14E-03

5.47E-02

1.48E-02

2.69E-04
Methomyl, 1% crystals Low 0.5 -

1.16E-02

5.78E-03

6.71E-05
Medium 0.5 -

2.17E-02

1.08E-02

1.34E-04
High 0.5 7.14E-03

5.47E-02

2.73E-02

2.69E-04

Formulasb:
(1) PDRO = (IR x CS x CF)/BW
(2) PDRD = [(UE x WA) + (CS x CF x SA x AF x events)]/BW
(3) ADD = PDRD x ABS
(4) PDRI = (UIE x WA)/BW

a) ABS = dermal absorption factor.
PDRO = potential dose rate for ingestion.
PDRD = potential dose rate for dermal contact.
ADD = absorbed dermal dose.
PDRI = potential dose rate for inhalation.
A dash (-) indicates that the item is not applicable.
IR = ingestion rate.
CS = concentration of a.i. In formulation.
CF = unit conversion factor.
BW = body weight.
UE = unit dermal exposure.
WA = weight of a.i. handled
SA = skin surface area available for contact.
AF = adherence factor.
Events = dermal exposure events.
UIE = unit inhalation exposure.
b) Formula 2 adds dermal exposure to hand to other dermal exposure calculated per the PHED Guide. The PHED does not provide values for hands in this scenario.

b. Post-Application Scenarios

(1) Common Elements

Investigators did not evaluate post-application exposure for the low-exposure group because they presumed it was inconsequential. The following factors would have served to keep exposure levels very low: low levels of pests, low levels of fly bait usage, use mainly outside, use per label directions, and good hygienic practices.

Investigators quantitatively evaluated neither post-application dermal exposure to fly baits, nor inhalation of fly bait particulates, although both presumably occurred. The EPA’s Office of Pesticide Programs questions the bioavailability of dermal exposure to particle-bound pesticide active ingredient residues and would not normally address the dermal exposure scenario in the present circumstance.[240] Similarly, OPP questions the bioavailability of active ingredient inhaled in particulates, as most such particles would be swallowed as a result of mucocilliary action, in particular since the majority of particles would probably have exceeded 10 microns in diameter. We did evaluate exposure to methomyl vapor in tanks, but did not for azamethiphos, for reasons described below.

Investigators assumed substantial use of fly baits inside tents and other structures at the medium-exposure level and, especially, at the high-exposure level. Both the PM exposure interviews (Table 13) and the fly bait interviews (Table 16) support this approach.

Investigators conducted exposure modeling to estimate the exposure point concentrations (EPCs) for post-application incidental ingestion. Variations of the soil/dust model and assumptions used to derive the EPCs for fly baits are presented in Tables 43 through 46. Investigators developed the model expressly to estimate exposures due to fly baits. The primary assumption of the model is that the net amount of active fly bait material available in soil and dust on any given day is equal to the amount released in a single day, as defined in the model; that is, it is assumed that steady-state conditions exist. Under the actual conditions of usage there were certainly gains and losses of active material each day; however, the daily average that was actually available is unknown. The differences in usage between the fly bait formulations were minimal. Thus, all post-application assumptions are listed in Table 47.

Table 43. Estimated fly bait concentration in soil/dust, mess tent, general purpose large[241]

Given: fly bait placed on paper plates; 6 plates in mess tent, fly bait heaped on plates

Line

Assumptions   Input/Output
1a Fly bait on plate = volume of a cylinder = pr2h = 3.1416 * 52 * 1 =

79

in3
1b (Diameter of paper plate = 10 in; height of fly bait on plate = 1 in)   -  
2 Portion of applied fly bait spilled on floor per day =

50

%
3 Number of fly bait containers in structure =

6

 
4a Total volume of fly bait spilled on floor (L1a * L2 / 100 * L3) =

237

in3
4b (volume of active fly bait available for exposure)      
4c Conversion  

16.387

cm3/in3
4d (L4a * L4c)  

3,884

cm3
5a Area of floor =

900

ft2
5b Conversion =

144

in2/ft2
5c (L5a * L5b) =

129,600

in2
5d (Structure = GP large; the floor in the tent was sand)      
6a Density of a solid block of sucrose[242] =

1.6

g/cm3
6b Porosity of granules = (estimate; same as for sand) =

0.25

 
6c Bulk density of fly bait (L6a * 1 - L6b) =

1.2

g/cm3
7a Density of a solid block of silicon dioxide[243] =

2.65

g/cm3
7b Porosity of sand[244] =
0.25
7c Bulk density of sand (L7a * 1 - L7b) =

2.0

g/cm3
8 Total mass of spilled fly bait = (L4d * L6c) =

4,660

g
9a (Average depth of spilled fly bait spread evenly over floor) =    
9b (L4a / L5c) =

0.0018

in
9c Conversion =

2.54

cm/in
9d (L9b * L9c) =

0.0046

cm
10 Surface sand mixing zone depth =

2

in
11a Volume of sand in mixing zone (L5c * L10) =

259,200

in3
11b (L11a * 4c)  

4.25E+06

cm3
12 Mass of sand in mixing zone (L11b * L7c) =

8.44E+06

g
13a Conversion =

1.00E+06

mg/kg
13b Concentration of fly bait in mixing zone (L13a * L8 / L12) =

552

mg/kg
14a Concentration of active ingredient in fly bait =

1.0

%
14b Concentration of a.i. in soil/dust (L13b * L14a / 100) =

6

mg/kg


Table 44. Estimated fly bait concentration in soil/dust, mess building, temporary
[245]

Given: area of mess hall = 1,750 ft2; fly bait placed in 6 x 9 x 0.5-in trays; 50 trays in mess hall
Line Assumptions  

Input/Output

1a Volume of fly bait in tray = volume of tray =

27

in3
2 Portion of applied fly bait spilled on floor per day =

50

%
3 Number of fly bait containers in structure =

50

 
4a Total volume of fly bait spilled on floor (L1a * L2 / 100 * L3) =

675

in3
4b = volume of active fly bait available for exposure      
4c Conversion  

16.387

cm3/in3
4d (L4a * L4c)  

11,061

cm3
5a Area of floor =

1,750

ft2
5b Conversion =

144

in2/ft2
5c (L5a * L5b) =

252,000

in2
5d Structure = large temporary building with a wooden floor      
6a Density of a solid block of sucrose[246] =

1.6

g/cm3
6b Porosity of granules = (estimate; same as for sand) =

0.25

 
6c Bulk density of fly bait (L6a * 1 - L6b) =

1.2

g/cm3
7a Density of a solid block of silicon dioxide[247] =

2.65

g/cm3
7b Porosity of sand[248] =

0.25

 
7c Bulk density of sand (L7a * 1 - L7b) =

2.0

g/cm3
8 Total mass of spilled fly bait = (L4d * L6c) =

13,273

g
9a Average depth of spilled fly bait spread evenly over floor      
9b (L4a / L5c) =

0.00268

in
9c Conversion =

2.54

cm/in
9d (L9b * L9c) =

0.0068

cm
10 Surface sand mixing zone depth =

0.10

in
11a Volume of sand in mixing zone (L5c * L10) =

25,200

in3
11b (L11a * L4c) =

4.13E+05

cm3
12 Mass of sand in mixing zone (L11b * L7c) =

8.21E+05

g
13a Conversion =

1.00E+06

mg/kg
13b Concentration of fly bait in mixing zone (L13a * L8 / L12) =

16,173

mg/kg
14a Concentration of active ingredient in fly bait =

1.0

%
14b Concentration of a.i. in soil/dust (L13b * L14a / 100) =

162

mg/kg



Table 45. Estimated fly bait concentration in soil/dust, latrine, "three-holer"

Given: Horizontal surface area inside structure = 72 ft2; fly bait placed in 6 x 9 x 0.5-in trays; 2 trays in latrine (assumed)
Line Assumptions  

Input/Output

1a Volume of fly bait in tray = volume of tray =

27

in3
2 Portion of applied fly bait spilled on floor/shelf per day =

50

%
3 Number of fly bait containers in structure =

2

 
4a Total volume of fly bait spilled on floor/shelf (L1a * L2 / 100 * L3) =

27

in3
4b = volume of active fly bait available for exposure      
4c Conversion  

16.387

cm3/in3
4d (L4a * L4c)  

442

cm3
5a Floor/shelf surface area =

72

ft2
5b Conversion =

144

in2/ft2
5c (L5a * L5b) =

10,368

in2
5d Structure = "three-holer" latrine with wooden floor/shelf      
6a Density of a solid block of sucrose[249] =

1.6

g/cm3
6b Porosity of granules = (estimate; same as for sand) =

0.25

 
6c Bulk density of fly bait (L6a * 1 - L6b) =

1.2

g/cm3
7a density of a solid block of silicon dioxide[250] =

2.65

g/cm3
7b porosity of sand[251] =

0.25

 
7c bulk density of sand (L7a * 1 - L7b) =

2.0

g/cm3
8 total mass of spilled fly bait = (L4d * L6c) =

531

g
9a average depth of spilled fly bait spread evenly over floor/shelf      
9b (L4a / L5c) =

0.0026

in
9c Conversion =

2.54

cm/in
9d (L9b * L9c) =

0.00661

cm
10 surface sand mixing zone depth =

0.10

in
11a volume of sand in mixing zone (L5c * L10) =

1,037

in3
11b (L11a * L4c) =

1.70E+04

cm3
12 mass of sand in mixing zone (L11b * L7c) =

3.38E+04

g
13a Conversion =

1.00E+06

mg/kg
13b concentration of fly bait in mixing zone (L13a * L8 / L12) =

15,723

mg/kg
14a concentration of active ingredient in fly bait =

1.0

%
14b concentration of a.i. in soil/dust (L13b * L14a / 100) =

157

mg/kg



Table 46. Estimated fly bait concentration in soil/dust, M-1A Tank

Given: floor area of vehicle = 25 ft2; fly bait placed in 6 x 9 x 0.5-in tray; 1 tray in vehicle
Line Assumptions  

Input/Output

1a volume of fly bait in tray = volume of tray =

27

in3
2 portion of applied fly bait spilled on floor per day =

50

%
3 number of fly bait containers in vehicle =

1

 
4a total volume of fly bait spilled on floor (L1a * L2 / 100 * L3) =

14

in3
4b = volume of active fly bait available for exposure      
4c conversion  

16.387

cm3/in3
4d (L4a * L4c)  

221

cm3
5a area of floor =

25

ft2
5b conversion =

144

in2/ft2
5c (L5a * L5b) =

3,600

in2
5d vehicle = M-1A Tank      
6a density of a solid block of sucrose[252] =

1.6

g/cm3
6b porosity of granules = (estimate; same as for sand) =

0.25

 
6c bulk density of fly bait (L6a * 1 - L6b) =

1.2

g/cm3
7a density of a solid block of silicon dioxide[253] =

2.65

g/cm3
7b porosity of sand[254] =

0.25

 
7c bulk density of sand (L7a * 1 - L7b) =

2.0

g/cm3
8 total mass of spilled fly bait = (L4d * L6c) =

265

g
9a average depth of spilled fly bait spread over evenly over floor      
9b (L4a / L5c) =

0.00375

in
9c conversion =

2.54

cm/in
9d (L9b * L9c) =

0.00953

cm
10 surface sand mixing zone depth =

0.10

in
11a volume of sand in mixing zone (L5c * L10) =

360

in3
11b (L11a * L4c) =

5.90E+03

cm3
12 mass of sand in mixing zone (L11b * L7c) =

1.17E+04

g
13a conversion =

1.00E+06

mg/kg
13b concentration of fly bait in mixing zone (L13a * L8 / L12) =

22,642

mg/kg
14a concentration of active ingredient in fly bait =

1.0

%
14b concentration of a.i. in soil/dust (L13b * L14a / 100) =

226

mg/kg


Table
47. Fly bait assumptions for post applicationa

Factor Units Definition/Explanation

Assumptions by Level

Source/Rationale

Low

Medium

High

CS mg/kg Concentration of a.i. in indoor soil/dust - 6 226 Tables 43 and 46
CF kg/mg Unit conversion factor - 1E-06 1E-06 Standard
CA mg/m3 Concentration of methomyl in air inside tank - - 0.19 Air modeling, 8-hour average
IR mg/d Ingestion rate - 50 480 EPA[255,] [256]
ET h/d Exposure time to air inside tank - - 8 See noteb
EF d/MO Exposure frequency - 30 30 Survey (Table 13); Fly bait interviews (Table 16)
ED MO Exposure duration - 5 8 Fly bait interviews (Table 16)
a) A dash (-) indicates that the item is not applicable.
b) It is unlikely troops spent more than 8 hours per day in a tank under most circumstances.


(2) Azamethiphos

Ingestion is the only consequential post-application exposure route for medium and high exposure levels for azamethiphos, 1% crystals. The release of azamethiphos vapor directly to the air constitutes an inconsequential exposure pathway, given that the vapor pressure of azamethiphos at 20oC is 3.7 x 10-8 mm Hg. [257] Thus, investigators did not conduct air modeling for azamethiphos vapor. The OPP agrees with this assessment.[258]

(3) Methomyl

Ingestion is the only consequential post-application exposure route for the medium exposure level for methomyl, 1% crystals. Ingestion, and inhalation of vapor are consequential at the high exposure level. OPP suggested that inhalation of methomyl vapor released from fly baits would only be of potential concern under one circumstance: release of vapor into a confined space such as a tank.[259] Investigators conducted air modeling to evaluate the latter possibility, as described in the following subsection.

(4) Air Modeling for Methomyl

Investigators conducted air modeling to estimate potential exposure to servicemembers within tanks to methomyl vapors released from fly bait crystals scattered inside tanks. As recommended by the EPA, investigators calculated average emission rates from applied methomyl crystals using an empirical relationship for evaporation time based on the vapor pressure and molecular weight of the active ingredient by the method of Chinn.[260] This relationship is based on the evaporation of pure substances under artificial conditions and probably overestimates the emissions from fly bait crystals.

In this approach, one first calculates the Chinn evaporation time using the following formula:

te = 145/[(mw)(vp)]0.9546

where,

te = Chinn evaporation time (h)
mw = molecular weight of active ingredient (unitless)
VP = vapor pressure of active ingredient (mm Hg)

Next, one calculates a long-term emission rate using the following formula:

E = mass/d

where,

E = emission rate (mg/h)
mass = mass of active ingredient (mg)
d = day

Investigators calculated the mass of active ingredient applied inside the tanks (5.3 g) from the product of the mass of fly bait applied in the tanks (530 g) and the fractional component of the active ingredient in the fly bait (1%).

One obtains an upper bound value for methomyl in tanks by calculating an air saturation concentration. The saturation concentration is provided by the following expression:

CAsat = (vp/760)(mw)(106)/[(R)(T)]

where,

vp = vapor pressure (mm Hg)
mw = molecular weight (g/mole)
R = 0.0821 liter atmosphere/mole oK, the universal gas constant
T = temperature of air (OK)

Investigators assumed a temperature of 293o K (20o C) for the calculation of the saturation concentration. The sensitivity of saturation concentration to temperature is relatively low over the range of temperatures that might be expected inside a tank, since the saturation concentration is inversely proportional to the absolute temperature.

The saturation air concentration should be regarded as an extreme upper bound estimate. It represents the concentration that might occur after a sufficient time in the absence of adequate ventilation. However, it almost certainly overestimates concentrations that would be expected to occur during normal usage inside a tank treated with methomyl crystals.

One can estimate more realistic concentrations by using a simple box model approach. One can develop the box model equation from the same mass balance considerations described for permethrin. Likewise the differential equation is the same, although the inputs vary somewhat:

V(dC/dt) = E + CaIV - CIV - KCV

where,

C = concentration (mg/m3)
Ca = ambient (outdoor) concentration (mg/m3)
E = emission rate (mg/h)
I = air changes per hour in room
V = room volume (m3)
t = time (h)
K = decay rate (h-1)

This equation has the following general solution:

C = [1/(I+K)][(E/V) + (Ca)(I)][1 - exp{-(I+K)(t)}] + Co exp{-(I+K)(t)}

where,

CO = initial concentration in room (mg/m3)

Investigators assumed: 1) active ingredients to be nonreactive (K=0), and 2) contributions from outdoors to be negligible (Ca = 0); the rationale is explained under permethrin.

With these assumptions, the equation for concentration within the room simplifies to:

C = [E/(I)(V)][1 - exp{-(I)(t)}] + CO exp{-(I)(t)}

For an initial concentration of zero (CO = 0), this simplifies to:

C = [E/(I)(V)][1 - exp{-(I)(t)}]

This equation yields estimated concentrations that asymptotically approach an equilibrium concentration given by:

C = E/[(I)(V)]

The time in hours (tf) required to reach a given fraction (f) of the equilibrium concentration is:

tf = -[ln(1-f)]/I

The exposure scenarios of interest involve servicemembers spending an extended period of time (for example, 8 hours) inside a tank with little or no ventilation. This exposure scenario should be considered hypothetical based on the following considerations. Tanks have three hatches, two on top of the turret and one in the forward hull above the driver. Anecdotal evidence indicates that these hatches were generally kept open in the Gulf and that the time spent "buttoned up" (i.e., with hatches closed) was minimal. In addition, the tanks used in the Gulf War had ventilation systems that would likely have been used if all hatches were closed for an extended period of time.

The M1A1 tank has an environmental control/nuclear, biological and chemical (EC/NBC) system that provides filtered air to servicemembers via masks. The air exchange rate associated with this system is fairly high (0.092 m3/sec), corresponding to an air turnover rate on the order of about 50 changes per hour. The M1 tank has a blower in the turret that is used after firing and perhaps at other times as well. The air exchange rate associated with the blower (0.014 m3/sec) is on the order of 8 changes per hour.

However, other anecdotal evidence suggests that the tank ventilation systems were infrequently used due to the noise they generated. As mentioned before, the hatches in the tanks were generally left open. The ambient winds characteristic of the area (or the relative wind experienced when the tank is in motion) would be expected to induce some air turnover in the tanks when the hatches were left open. It is difficult to estimate ventilation rates that would be generated by the wind or by motion of the tank when the hatches are open. Nonetheless, calculations for some assumed low ventilation rates indicate that concentrations inside the tank should not approach the saturation concentration presented earlier.

Interior air volumes fall in the range of 5.7 - 7.3 m3 for M1A1 tanks and in the range of 5.7 - 6.8 m3 for M1 tanks. Investigators selected the low end of these ranges for the calculations in order to estimate the largest concentrations.

Air exchange rates of 0.5, 0.25, and 0.125 air changes per hour (corresponding to 4, 2, and 1 air changes per 8-hour period, respectively) were selected to represent low, medium, and high exposure scenarios over the 8-hour period. Investigators calculated equilibrium concentrations for each ventilation rate and, in the case of the lowest air exchange rate considered, capped at the saturation concentration (about 85% of the calculated equilibrium concentration).

The estimated time needed to reach the saturation concentration for the high exposure scenario (about 15.5 hours) exceeds the duration of the exposure scenario, so estimated average concentrations over the 8-hour period will be less than the calculated saturation concentrations. In addition, estimated average concentrations over the 8-hour period should be less than equilibrium concentrations due to the time needed for concentrations to build up to near the equilibrium levels.

One can obtain average concentrations over the time period from t = 0 to t = T by integrating the concentration equation C = [E/(I)(V)][1 - exp{-(I)(t)}] over the period and dividing by the duration of the period, yielding:

Cavg = [E/(I)(V)(T)][T + (1/I)(exp{-(I)(T)}-1)]

Table 48 summarizes the calculated 8-hour average methomyl concentrations for the modeled exposure scenarios. Figure 12 is a time plot of estimated methomyl concentrations in the tank versus time for each of the three defined exposure scenarios. The estimated concentrations are well below the saturation concentration (0.44 mg/m3) even for the low assumed ventilation rates.

Table 48. Methomyl air modeling results

Case Scenario 8-hour Average Concentration(mg/m3)

1

Low exposure 0.0977

2

Medium exposure 0.147

3

High exposure 0.190


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