4.0 NOMENCLATURE SUMMARY

    This section contains information useful to understanding the mathematical notation used for parameters of the exposure pathway and health impact models. The symbols used are presented alphabetically in Table 2 with a brief definition of the parameter and detailed usage of subscripts (if any). For example, the table entry for "C" indicates that Cgwi represents the concentration of pollutant i in groundwater at some defined location. The first subscript has 2 letters ("gw" for groundwater) and the second subscript has one letter ("i" for pollutant).

TABLE 4.1 Summary of Nomenclature Used in Exposure Assessment Models


Parameter
Number of
Subscripts
Order of
Subscripts
Description
A 1   area of skin exposed for specific pathways (cm2)
    1 exposure activity index (2 letters)
      dd - soil dermal contact
      hd - sediment dermal contact
      sd - showering dermal contact
      wd - swimming dermal contact
ABdi skin absorption fraction for soil or sediment dermal contact exposure for pollutant i 
AD adhesion factor for contact with soil or sediment with skin (mg/cm2 skin)
AT 2   averaging time for exposure to pollutant i for each pathway (yr)
    1 exposure pathway index (2 letters)
      ae - air submersion external exposure
      ai - air inhalation
      be - boating external exposure
      dd - soil dermal contact
      de - soil external exposure
      di - soil resuspension inhalation
      dr - direct radiation dose (no pollutant subscript is used when the direct radiation dose is considered)
      ds - soil inadvertent ingestion
      dw - drinking water ingestion
      fd - special food ingestion
      ff - finfish ingestion
      sf - shellfish ingestion
      he - shoreline external exposure
      hs- shoreline soil inadvertent ingestion
ia - indoor air inhalation
      lv - leafy vegetable ingestion
      kk - general pathway index
      mk - milk ingestion
      mt - meat ingestion
      ov - other vegetable ingestion
      sd - showering dermal contact
      sf - shellfish ingestion
      si - showering inhalation
      sw - shower water inadvertent ingestion
      wd - swimming dermal contact
      we - swimming external exposure
      ww - swimming water inadvertent ingestion
    2 i - pollutant index
b intermediate parameter in the USEPA dermal absorption model (dimensionless)
B intermediate parameter in the USEPA dermal absorption model (dimensionless)
B 2   bioaccumulation factors (dimensionless)
    1 foodindex
      f - water-to-fin fish
      s - water-to-shellfish
      v - soil-to-plant uptake via roots
    2 i - pollutant index
BW 1   body weight of individuals exposed to each exposure pathway (kg)
    1 exposure pathway index (see parameter AT for a complete list of subscript usage for exposure pathways)
c intermediate parameter in the USEPA dermal absorption model (dimensionless)
C 2   concentration of a pollutant in a medium
    1 medium index (2 letters)
      ar - air (mg/m3 or pCi/m3)
      as - surface soil from atmospheric deposition (mg/m2 or pCi/m2)
      dw - domestic water (mg/L or pCi/L)
      ff - finfish (mg/kg or pCi/kg)
      gw - ground water (mg/L or pCi/L)
      lv - leafy vegetables (mg/kg or pCi/kg)
      mf - measured food (mg/kg or pCi/kg)
      ms - measured soil (mg/kg or pCi/kg)
      ov - other vegetables (mg/kg or pCi/kg)
      sa - shower air (mg/m3 or pCi/m3)
      sf - shellfish (mg/kg or pCi/kg)
      ss - shoreline sediment (mg/kg or pCi/kg)
      sw - surface water (mg/L or pCi/L)
    2 i - pollutant index
CAD 2   plant concentration at time of harvest from airborne deposition onto plants (mg/kg or pCi/kg)
    1 plant type index (2 letters)
      lv - leafy vegetables
      ov - other vegetables
      ft - meat animal feed crops
      fk - milk animal feed crops
    2 i - pollutant index
CAR 2   plant concentration at time of harvest from root uptake from soil (mg/kg or pCi/kg)
    1 planttype index
      lv- leafy vegetables
      ov - other vegetables
      ft - meat animal feed crops
      fk - milk animal feed crops
    2 i - pollutant index
 
CWD 2   plant concentration at time of harvest from water deposition onto plants (mg/kg or pCi/kg)
    1 plant type index
      lv - leafy vegetables
      ov - other vegetables
      ft - meat animal feed crops
      fk - milk animal feed crops
    2 i - pollutant index
 
CWR 2   plant concentration at time of harvest from root uptake from soil (mg/kg or pCi/kg)
    1 plant type index
      lv - leafy vegetables
      ov - other vegetables
      ft - meat animal feed crops
      fk - milk animal feed crops
    2 i - pollutant index
 
D 2   average daily dose (mg/kg/d) or lifetime dose (rem)
    1 exposure pathway index (see parameter AT for a complete list of subscript usage for exposure pathways)
    2 i - pollutant index
 
DE 2   external dose conversion factors for radionuclides
    1 radiation exposure route index
      a - submersion in air (rem/h per pCi/m3)
      g - ground plane (rem/h per pCi/m2)
      w - water immersion (rem/h per pCi/L)
    2 i - radionuclide index
 
DF 2   internal dose conversion factors for radionuclides
    1 intake route index
      d - dermal (rem/pCi absorbed via skin)
      g - ingestion (rem/pCi ingested)
      h - inhalation (rem/pCi inhaled)
    2 i - radionuclide index
DP 2   deposition rate to crops and ground (mg/m2/d or pCi/m2/d)
    1 medium 
      a - atmospheric 
      s - soil
w - water
    2 i - pollutant index
 
DR measured direct radiation dose rate (rem/h)
 
DSi diffusion coefficient for skin for pollutant i (cm2/h)
 
ED 1   exposure duration for each exposure pathway (yr)
    1 k - general exposure pathway index
      (see parameter AT for a complete list of subscript usage for exposure pathways)
 
f1i fraction of material absorbed in passing through the GI tract for pollutant i
 
F 1   fraction of days per year that each exposure pathway occurs
    1 exposure pathway index (see parameter AT for a complete list of subscript usage for exposure pathways)
   
FC 2   fraction of animal feed or water that is contaminated
    1 intake media
      f - feed
      w - water
    2 animal type
      k - milk animal
      t - meat animal
 
FE 1   event frequency (events/day)
    1 bt - boating
      dd - soil contact 
      sh - showers (showers/day)
      sl - shoreline use
      sw - swimming 
       
FI 1   irrigation time fraction 
    1 agricultural product index (2 letters)
lv - leafy vegetables
mk - milk
mt - meat
ov - other vegetables
FM 2   feed-to-animal product transfer factors for each pollutant
    1 animal product index (2 letters)
      mk - milk
      mt - meat
    2 i - pollutant index
       
Hi Henry's Law Constant for each pollutant, i (atm m3/mole)
HE 1
 
 
1
radiation health effects conversion factors (risk per rem)
health impact endpoint type
f - fatal cancer
h - hereditary effects
t - total cancer incidence
       
HQ 2   hazard quotient for exposure to noncarcinogenic chemicals (dimensionless)
    1 intake route index 
      g - ingestion 
      h - inhalation 
    2 i - pollutant index
 
HT 2   environmental half times for each pollutant (d)
    1 media index
      a - air
      g - ground water (or confined water systems)
      s - surface water
      d - soil 
    2 i - pollutant index
 
I 2   dose absorbed per unit area per water contact event (mg/cm2-event)
    1 water contact event type index
      sh - showering using domestic water
      sw - swimming in surface water
    2 i - pollutant index
Kai Atmospheric deposition class index by pollutant, i (dimensionless)
Ki                 Volatilization factor for indoor inhalation for pollutant i (L/m3)
Koci Carbon matter partition coefficient for each pollutant, i (ml/g)
Kowi Octanol-water partition coefficient for each pollutant, i (ml/g)
 
Kpi Skin permeability constant for aqueous solutions for each pollutant (cm/h)
 
lsc Thickness of skin (stratum corneum), (cm)
 
MWi Molecular weight (g/mole)
 
NT Integer number of years in the exposure duration for an agricultural production usage location (yr)
 
Q 2   animal intake rate of feed or water
    1 intake media
      f - feed
      w - water
    2 animal type
      k - milk animal
      t - meat animal
 
r 1   fraction of deposition retained on plant surfaces
    1 plant type index
      lv - leafy vegetables
      ov - other vegetables
      ft - meat animal feed crops
      fk - milk animal feed crops
 
R 3   lifetime risk 
    1 health impact endpoint type
      f - fatal cancer
      h - hereditary effects
      t - total cancer incidence
    2 exposure pathway index (2 letters)
      usage is as defined for parameter AT
    3 i - pollutant index
 
RF Resuspension factor for inhalation of pollutants deposited onto soil from atmospheric transport (m-1)
 
RfD 2   chemical reference dose by intake route and pollutant (mg/kg/d)
    1 route index
      g - ingestion
      h - inhalation
    2 i - chemical pollutant index
Si water solubility for each pollutant, i (mg/L)
 
SAFi soil accumulation factor for prior years deposition for pollutant i (dimensionless)
 
SB boating shielding factor relative to water immersion (dimensionless)
 
SF 2   carcinogen slope factor by intake route and pollutant: chemicals risk per (mg/kg/d) dose, radionuclides risk per pCi intake, external risk per ....
    1 route index
      g - ingestion
      h - inhalation
      s - external exposure to surface contamination (radionuclides only)
    2 i - pollutant index
SMFi
 
SW
measured soil average concentrations over the exposure duration for pollutant i(mg/kg or pCi/kg)
shore width factor for external exposure to radionuclides in shoreline sediment (dimensionless)
 
t 1   thickness of soil or sediment layer (m)
    1 media index (2 letters)
      dd - atmospheric deposition onto soil
      ms - measured soil
      ss - shoreline
      sl - soil
 
t* time to reach steady state in the USEPA dermal absorption model (h)
 
Tsw transit time in a surface water system between the point of entry and a pumping station (d)
 
TC 1   crop growing period (d)
    1 plant type index
      lv - leafy vegetables
      ov - other vegetables
      ft - meat animal feed crops
      fk - milk animal feed crops
 
TE 1   event duration, hours
    1 exposure activities
      b - boating 
      d - soil (dirt) dermal contact
      l - shoreline
      s - showering 
      w - swimming 
TFi water treatment purification factor giving the fraction of pollutant, i, remaining after treatment (dimensionless)
 
TH 1   holdupperiod in an exposure pathway (d)
    1 dw - domestic water holdup between the pumping station and the consumer
      ff - harvest to consumer holdup period for the fin fish ingestion pathway
      fs - harvest to consumer holdup period for the shellfish ingestion pathway
      lv - harvest to consumer holdup period for the leafy vegetable ingestion pathway
      ov - harvest to consumer holdup period for the other vegetable ingestion pathway
      mk - harvest to consumer holdup period for the milk ingestion pathway
      mt - harvest to consumer holdup period for the meat ingestion pathway
TV 1   translocation factor from plant surfaces to edible parts of the plant (dimensionless)
 
    1 plant type index (2 letters)
      lv - leafy vegetables
      ov - other vegetables
      ft - meat animal feed crops
      fk - milk animal feed crops
 
U 1   intake parameters for each inhalation, ingestion, and some external exposure pathways
    1 ai - air inhalation rate (m3/d)
      de - soil external exposure (h/d)
      di - soil resuspension inhalation rate (m3/d)
      dr - direct radiation (h/d)
      ds - soil inadvertent ingestion rate (g/d)
      dw - drinking water ingestion rate (L/d)
      fd - special food ingestion rate (kg/d)
      ff - finfish ingestion rate (kg/d)
      fs - shellfish ingestion rate (kg/d)
      hs - shoreline soil inadvertent ingestion rate (kg/d)
      k - general pathway index
      lv - leafy vegetable ingestion rate (kg/d)
      mk - milk ingestion rate (L/d)
      mt - meat ingestion rate (kg/d)
      ov - other vegetable ingestion rate (kg/d)
      si - showering inhalation rate (m3/d)
      sw - shower water inadvertent ingestion rate (L/shower)
      ww - swimming water inadvertent ingestion rate (L/h)
Vdi Deposition velocity (m/sec)
 
VPi Vapor pressure (mm Hg)
 
Y 1   production yield of plants 
    1 plant type index
      lv - leafy vegetables
      ov - other vegetables
      ft - meat animal feed crops
      fk - milk animal feed crops
 
l 2   loss rate constant for a pollutant from a medium (d-1)
    1 medium index
      a - air
      d - soil exposed to air
      e - effective loss from plant surfaces
      g - groundwater or confined water systems
      s - surface water
    2 i - pollutant index
 
lw weathering rate constant from plant surfaces (d-1)
 
r 1   soil or sediment density
    1 media index
      dd - atmospheric deposition onto soil
      ms - measured soil
      ss - shoreline sediment
      sl - soil
 
t delay time parameter in the USEPA dermal absorption model (h)