United States
Environmental Protection
Agency
Office of Water
(4303)
EPA821-B-97-008
January 1998
Statistical Support
Document for Proposed
Effluent Limitations
Guidelines and Standards
for Industrial Waste
Combustors

-------

-------
     Statistical Support Document for Proposed
  Effluent Limitations Guidelines and Standards for
           Industrial Waste Combustors
                  Prepared for:

       U.S. Environmental Protection Agency
 Office of Water, Engineering and Analysis Division
                401 M Street SW
             Washington, DC 20460
                  Prepared by:

   Science Applications International Corporation
     Environmental and Healrn Sciences Group
Health and Environment Studies and Systems Division
            11251 Roger Bacon Drive
               Reston,VA 20190
                January 14, 1998

-------

-------
                                     1.  INTRODUCTION
This document describes the statistical development of numerical effluent limitations guidelines and
standards proposed for the Industrial Waste Combustor Subcategory of the Waste Combustors Point
Source Category. Topics include data source identification, data conventions, the modified delta-lognormal
distribution, and a procedure for developing percentile estimates from the delta-lognormal distribution.
                                              1-1

-------

-------
  2. DISTRIBUTIONAL ANALYSES SUPPORTING THE DEVELOPMENT OF NUMERICAL
                  LIMITATIONS FOR BEST AVAILABLE TECHNOLOGY
This chapter describes the statistical analyses that support the development of the proposed effluent limitations
guidelines and standards for the Industrial Waste Combustor (IWC) Industry.  This chapter also provides an
overview of the statistical analyses and describes the sources of data and the modified delta-lognormal
distribution that was used to derive the proposed limitations.

2.1 Overview of Effluent Limitations Guidelines and Standards Statistical Analyses

The statistical analyses used in the development of the effluent limitations guidelines and standards are based
on  the following  assumptions: (1)  individual effluent  measurements for  pollutants to be limited are
approximately delta-lognormal in probability distribution; (2) on a long-term average basis, good engineering
practice will allow appropriately designed and well-operated wastewater treatment systems to perform at least
as well as the observed performance of the system whose data were used to develop the limitations; (3) an
allowance for the observed process variability will allow for the normal process variation associated with both
waste combustion and a well-designed and operated treatment system; and (4) process variation within certain
classes of pollutants, such as metals, are approximately equal.

For the two options listed in Table 2-1, EPA developed potential limitations for the following pollutants:

•    4 Classical Pollutants [Carbon Oxygen Demand (COD), Total Dissolved Solids (TDS), Total Organic
    Carbon (TOC), Total Suspended Solids (TSS)]
•    17 Metals (Aluminum, Antimony, Arsenic, Boron, Cadmium, Chromium, Copper, Iron, Lead, Manganese,
    Mercury, Molybdenum, Selenium, Silver, Tin, Titanium, and Zinc)                         •

                                         Table2-l.
                  IWC Effluent Limitations Guidelines and Standards Options
Option
A
B
Technology
Primary Precipitation
Liquid/Solid Separation
Sludge Dewatering
Secondary Precipitation
Liquid/Solid Separation
Sludge Dewatering
Option A+
Sand Filtration
                                            2-1

-------
2.2 Data Sources

A listing of the data used to support limitations development is included as Appendix A.  The data used to
calculate the proposed limitations for Options A and B were derived from the EPA Sample Control Center
(SCC) physical sampling database. This database contains the measurement results of intensive sampling
efforts at 17 sites between 1993 and 1995.

2.3 Description of Data Conventions

This section describes the types of data in the IWC analytical database and the procedures for data aggregation.

2.3.1  Data Review

The analytical sampling data in the SCC database were thoroughly reviewed by EPA. During this review, the
integrity of each sample was assessed to ensure that all specifications of the sampling protocol were met. The
reviewers determined that some samples should be excluded from the analyses. These samples were flagged
in the database in a field labeled "SCC Qualifier" (see Appendix A). Samples with flags of "EXCLUDE" or
"DETECTED" (a value was detected but the concentration value was not recorded) were set to missing values.

An engineering review of the database was also conducted and a few additional data values were excluded from
the analyses for the reasons summarized in the record for the proposed rule-making.

2.3.2  Data Types

The IWC analytical database (from the SCC) contains the following two different types of samples delineated
by certain qualifiers in the database:

•   Non-censored (NC): a measured value, i.e., a sample measured above the level at which the detection
    decision was made.

•   Non-detect (ND): samples for which analytical measurement did not yield a concentration above the
    sample-specific level at which the detection decision was made. For these samples, the level associated
    with the detection decision is reported.

Depending on the  pollutant, the decision to call a measurement NC or ND was made either at the Minimum
Level (ML) or at the Instrument Detection Limit (IDL). For all metals, the detection decision was made at the
IDL. The IDL "refers to the smallest signal above background noise that an instrument can detect reliably."1
The ML refers to the "lowest acceptable calibration point."2  The term detection limitation will be used in the
following text where it is possible to use either the IDL or the ML.  The phrase detection decision indicates
a choice between reporting a measurement result or treating a measurement result in the same  fashion  as when
the analyte is not present.

Non-detected values were used as reported in analyzing the data.
        'Keith, L.H., W. Crumraett, J. Deegan, R.A. Libby, J.K. Taylor, G. Wentler (1983). "Principles of
Environmental Analysis," Analytical Chemistry, Volume 55, Pages 2210-2218.

        2U.S. EPA (1980). Method 1624, Volatile Organic Compounds byPurge'and Trap Isotope Dilution
GCMS, EPA Effluent Guidelines Division (WH-552), Washington, DC 20460.

                                              2-2

-------
2.3.3 Data Aggregation

Data aggregation for the IWC analytical data was performed due to the identification of field duplicates within
the data. Field duplicates are defined as one or more samples collected for a particular sampling point at
approximately the same time, assigned different sample numbers, and flagged as duplicates for a single episode
number.

Data aggregation was performed for field duplicates. When all of the duplicates in a set were non-censored,
detected samples, the arithmetic average of the duplicates was straightforward. However, when one or more
of the  duplicates was censored (that is, non-detect),  the following methods were used to  control the
combination.  (Note that the value of ND is the instrument detection limit for the non-detected sample and the
value of NC is the observed concentration value.) Table 2-2 outlines the methods for combining field duplicate
samples for the statistical analyses.

                                            Table 2-2.
                          Method for Averaging Field Duplicate Samples
If observations are:
Both ND values
NC and ND with
NC value > ND value
NC and ND with
NC value <; ND value
Both NC values
Label of
"aggregate"
ND
• NC
ND
NC
Value of "aggregate" is: ,
Maximum (ND,, ND2)
(NC+ND)/2 ,
ND value
(NC,+NC2)/2
         NC = non-censored values
         ND = non-detected values
2.4 Statistical Methodology

2.4.1  Overview of Methodology and Applicability to the IWC Effluent Limitations Guidelines and
Standards Database

2.4.1.1  Basic Overview of Delta-lognormal Distribution

The classical delta-lognormal model is displayed in Figure 2-1.  In this adaptation of the simple lognormal
density (see Crow and Shimizu3), the model is expanded to include zero amounts by grouping together all
. positive amounts and fitting them to a lognormal density. All zero amounts are then segregated into another
group of measurements representing a discrete distributional "spike" at zero. The resulting mixed distribution,
        3Crow, E.L., Shimizu, K. (1988) Lognormal Distributions: Theory and Applications, Marcel
 Dekker, Inc., New York, NY 10016.
                                               2-3

-------
 combining a continuous density portion with a discrete-valued spike,  is known as the delta-lognormal
 distribution. The delta in the name refers to the percentage of the overall distribution contained in the spike
 at zero, that is, the percentage of zero amounts.
                                             Figure 2-1.
     Non-Detects
                                                     Detects
 Kahn and Rubin4,1989, further adapted the classical delta-lognormal model ("adapted model") to account for
 non-detect measurements in the same fashion that zero measurements were handled in the original delta-
 lognormal.  The actual values of non-detects are not known, though each non-detect is assumed to have a
 concentration somewhere between zero and me reported detection limit. Instead of zero amounts and non-zero
 (positive) amounts, the data consisted of non-detects and detects.  Rather than assuming that non-detects
 represented a spike of zero concentration, these samples were allowed to have a single positive value, usually
 equal to the level at which the detection decision is made (see Figure 2-2).  Since each non-detect was assigned
 the same positive value, the distributional spike in this adapted model was located not at zero, but at the
 detection limitation.  This adapted model was used in developing limitations for the Organic Chemicals,
 Plastics, and Synthetic Fibers (OCPSF) and pesticides manufacturing rulemaking.

                                            Figure 2-2.
                                                  Detects
   Non-Detects
         o s 1015 20
       4Kahn, H.D., Rubin, M.B. (1989). "Use of Statistical Methods in Industrial Water Pollution
Control Regulations in the United States," Environmental Monitoring and Assessment, Volume 12, Page
129-148.
                                               2-4

-------
In the adapted delta-lognormal model, the delta again referred to those measurements contained in the discrete
spike, this time representing the proportion of non-detect values observed within the data set. By using this
approach, computation of estimates for the population mean and variance could be done easily by hand, and
non-detects were not assumed to follow the same distributional pattern as the detected measurements.  The
adapted delta-lognormal model can be expressed mathematically as:
                Pr (U D
(2.1)
where 8 represents the true proportion of non-detects (or the probability that any randomly drawn measurement
will be a non-detect)., D equals the Minimum Level value of the discrete spike assigned to all non-detects, $(•)
represents the standard normal cumulative distribution  function,  and (i and a are the parameters of the
lognormal density  portion of the model.  This model assumes that all non-detected values have a single
detection limit D.-

It is also possible to represent the adapted delta-lognormal model in another mathematical form; one in which
it is particularly easy to derive formulas for the expected value (i.e., long-term average [LTA]) and variance
of the model.  In this case, a random variable distributed according to the adapted delta-lognormal distribution
can be represented as the stochastic combination of three other independent random variables. The first of
these variables is an indicator variable, Iu, equal to one when the measurement u is a non-detect and equal to
zero when u is a detected value. The second variable, XD, represents the value of a non-detect measurement
(discrete). In the adapted delta-lognormal, this variable is always a constant ND equal to Ihe concentration
value assigned to each non-detect (i.e., equal to D in the adapted delta-lognormal model). In general, however,
XD need not be a constant, as will be seen below in the modified delta-lognormal model. The final random
variable, Xc, represents the value of a detected measurement, and is distributed according to a lognormal
distribution (continuous) with parameters [i and a2.

Using this formulation, a random variable from the adapted delta-lognormal model can be written as:
                                 U=  IUXD+
                                (2-2)
and the expected value of U is then derived by substituting the expected value of each quantity in the right-hand
side  of the equation.  Because the variables Iu, XD,  and Xc are mutually independent,  this leads to the
expression
               E(U) = 5EtXD)+(l-8)E(XJ =  5D + (l-8)exp((j. +  0.5 o2)
                                (2.3)
where again 8 is the probability that any random measurement will be non-detect and the exponentiated
expression is the familiar mean of a lognormal distribution. In a similar fashion, the variance of the adapted
delta-lognormal model can be established by squaring the expression for U above, taking expectations, and
subtracting the square of E(U) to get:
  Var(U) =  E(L72)  - [E(Ujf =
                                (2.4)
                                               2-5

-------
Since, in the adapted delta-Iognormal formulation, XD is a constant, this expression can be reduced to the
following:
Var(U) =  (1 - 6)exp(2n
                                       - (1 - 8)] +  8(1- S)D[D - 2exp(u + O.So2)].
                                                   (2.5)
In order to estimate the adapted delta-lognormal mean and variance from a  set of observed sample
measurements, it is necessary to derive sample estimates for the parameters 6, u, and a. 6 is typically estimated
by the observed proportion of non-detects in the data set. u and a are estimated using the logged values of the
detected samples where u is estimated using the arithmetic mean of the logged detected measurements and a
is estimated using the standard deviation of these same logged values.  Non-detects are not included in the
calculations. Once the param
eter estimates are obtained, they are used in the formulas above to derive the estimated adapted delta-lognormal
mean and variance.
To calculate effluent limitations, it is also necessary to estimate upper percentiles from the underlying data
model.  Using the delta-lognormal formulation above in equation (2.1), letting UK represent the 100*ath
percentile of random variable U, and adopting the standard notation of 2^ for the 8th percentile of the standard
normal distribution, an arbitrary delta-lognormal percentile can be expressed as the following:
                       exp(u+0-2^
                             D
                      exp(u+0^.
if
if
if  8+
                                                         - u)/a)
-------
2.4.1.3  Modification of the Discrete Spike

To appropriately modify the adapted delta-lognormal model for the observed IWC database, a modification
was made to the discrete, single-valued spike representing non-detect measurements.  Because non-detect
samples have varying detection limits, the spike of the delta-lognormal model has been replaced by a discrete
distribution made up of multiple spikes. Each spike in this modification is associated with a distinct detection
limit observed in the IWC database. Thus, instead of assigning all non-detects to a single, fixed value, as in
the adapted model, non-detects can be associated with multiple values depending on how the detection limits
vary, as seen in Figure 2-3.

                                            Figure 2-3.
                                                  Detects
   Non-Detects
         0  5101520
Hence, the discrete "delta" portion of the modified model is estimated in a way similar to the adapted delta-
lognormal distribution, only now multiple spikes are constructed, linked to the distinct detection limits observed
in the data set  In the adapted model, the parameter 8 is estimated by computing the proportion of non-detects.
In the modified model, 6 again represents the proportion of non-detects, but is divided into the sum of smaller
fractions, 6;, each representing the proportion of non-detects associated with a particular and distinct detection
limit. Thus it can be written:
                                        ?•  X"7^ \
                                                                                              (2.7)
If D; equals the value of the i* smallest distinct detection limit in the data set, and let the random variable X
represent a randomly Chosen non-detect sample, then the discrete distribution portion of the modified delta-
lognormal model can be mathematically expressed as:
                                              i-.Dpx
                                                                                              (2.8)
The mean and variance of this discrete distribution, unlike the discrete spike of the adapted delta-lognormal,
can be computed such that the variance of the modified spike is non-zero using the following formulas:
                                                2-7

-------
                       01
                                  and
                               ££§/
                                                                                             (2.9)
 It is important to recognize that, while replacing the single discrete spike in the adapted delta-lognormal
 distribution with a more general discrete distribution of multiple spikes increases the complexity of the model,
 the discrete portion with multiple spikes plays a role in limitations development identically parallel to the single
 spike case and offers flexibility for handling multiple observed detection limits.

 2.4.2 Estimation Under the Modified Delta-Lognormal Model

 Once the basic modification to the adapted delta-lognormal distribution is made, it is possible to fit a wide
 variety of observed effluent data sets to the modified model. Multiple detection limits for non-detects may now
 be handled.  The same basic framework can be used even if there are no non-detect values.

 Combining the discrete portion of the model with the continuous portion, the cumulative probability distribution
 of the modified delta-lognormal model can be expressed as follows, where Dn denotes the largest distinct
 detection limit observed among the non-detects, and where the first summation is taken over all those values
 D; that are less  than u.
   6+(l-6)$[(log(u)-u)/o)]
                                                              if  u
-------
                           IB W- DJ
                              6(1-6)
                                                - S)exp(2u + o2)(exp(o2) -
• - exp(u + O.So2)
                                                                                           (2.13)
where the D; equals individual detection limits for the non-detects, the 6; are the corresponding proportions of
not detected values with detection limit Di; and 6 = S8;.

2.4.2.1 Estimation of Long-Term Averages

Long-term averages were calculated for each sampling episode sample location separately.  For the purposes
of estimating these long-term averages (equal to the expected value in the equation (2.14)),it was necessary to
divide the IWC data sets into two groups based on their size (number of samples) and the type of samples in
the subset  Thus, the computations differed for each group:

       Group 1:      Less than 2 detected samples (NC) or less than 4 total samples.

       Group 2:      Two or more non-censored samples (NC) and 4 or more total samples.

For Group 1, the long-term averages were calculated as the arithmetic average of the samples, since the sample
sizes for either the discrete portion or the continuous lognormal portion of the data were too small to allow
distributional assumptions to be made. Specifically, Group 1 contained all data subsets with all non-detects
or only one detect. Detection limits were substituted as the values associated with non-detectable samples.

For Group 2, the long-term averages were calculated using the formula for E(U) in equation (2.14). p. and a
parameters were estimated as the mean and variance of the logged NC values.

Appendix!? presents summary statistics by analyte for each option and sampling episode combination.

2.4.2.2 Estimation of Variability Factors, Percentiles, and Limitations

After determining estimated long-term average values for each pollutant for each sample point location, EPA
developed 1-day variability factors (VF1) for each pollutant and either 4-day or 20-day monthly average
variability factors (VF4 and VF20) dependent on the assumed frequency of monitoring as outlined in Table
2-3. Appendix C presents estimated daily maximum limitations, monthly  average limitations, and the
associated variability factors for each option that are calculated using pollutant-specific variability factors. The
estimation methodology is presented below.
                                               2-9

-------
                                            Table 2-3.
                                 Assumed Monitoring Frequencies
Pollutant Category
Metals
COD
TDS
TSS
Frequency of Monitoring
Monthly (VF1.VF4)
Monthly (VF1, VF4)
Weekly (VF1, VF4)
Daily (VF1, W20)
Similar to the calculations for the long-term averages, the data were divided into the same two computation
groups based on the number and type of samples in each data subset:
    Group 1:
    Group 2:
Less than 2 detected (NC) samples or less than 4 total samples.  Upper percentiles
and variability factors could not be computed using the modified delta-lognormal
methodology.

Two or more non-censored samples (NC) and 4 or more total samples. The estimates
of the parameters for the modified delta-lognormal distribution of the data were
calculated empirically in the log-domain. Upper percentiles and variability factors
were calculated using these estimated parameters.
2.4.2.2.1 Estimation of Facility-Specific 1-Day Variability Factors and 99th Percentiles

The 1-day variability factors are a function of the long-term average, E(U), and the 99th percentile. An iterative
approach was used in finding the 99th percentile of each data subset using the modified delta-lognormal
methodology by first defining D0=0, 80=0, and D^ = » as boundary conditions where Df equals half of the i"1
smallest detection limit, and 6; is the associated proportion of non-detects at the Ith detection limit. A cumulative
distribution function, p, for each data subset was computed as a step function ranging from 0 to 1. The general
form, for a given value c, is:
P -
(1 - 8)
D
                               c <
                                                              ,  m=0,l,...k
(2.14)
where $ is the standard normal cumulative distribution function.  The following steps were completed to
compute the estimated 99th percentile of each data subset:

    1.  k values of p at c=Dm, m=l,...k were computed and labeled pm.

    2.  The smallest value of m, such mat pm :> 0.99, was determined and labeled as p,-. If no such m existed,
        steps 3 and 4 were skipped and step 5 was computed instead.

    3.  Computed p* = p,- - 8j.
                                              2-10

-------
    4.  If p* < 0.99, then P99 = DJ5
       else if p* ;> 0.99, then
                          P99 = exp
ji + <£~1
'( J-1 }]'
0.99 -£oJ
1 1-0 ) &
(i - o) f.
                                                                                           (2.15)
    5.  If no such m exists, such that pm ;> 0.99 (m=l,...k), then
= exp
                                             F.-1
                                                0.99 - 8
                                                 (1-5)

The daily variability factor, VF1, was then calculated as
                                                                                           (2.16)
           P99
          E(U)
                                                                                           (2.17)
Appendix C displays long-term averages and 1-day variability factors by analyte for each option and sampling
episode combination.

2.4.2.2.2  Estimation of Facility-Specific 4-Day Variability Factors and 95th Percentiles of 4-Day Means

For all but TSS, it was necessary to calculate a variability factor for monthly averages based on the distribution
of 4-day averages, because  EPA is  considering proposing  that these pollutants be monitored weekly
(approximately four times a month).  In order to calculate the 4-day variability factor (VF4), the assumption
was made that the approximating distribution of U4, the sample mean for a random sample of four independent
concentrations, is also derived from this modified delta-Iognormal distribution, with the same mean as the
distribution of the concentrations. The mean of this distribution of 4-day averages is:
                                                                                            (2.18)
where (X4)D denotes the mean of the discrete portion of the distribution of the average of four independent
concentrations, (i.e., when all observations are not detected) and (X4)c denotes the mean of the continuous
lognormal portion of the distribution.

First, it is assumed that the probability of detection (6) on each of the 4 days is independent of that on the other
days, since the samples to be used for compliance monitoring are not taken on consecutive days, and no
correlation is expected to exist such that 84 = S4.
                                               2-11

-------
 Also, since
                            en
                                  /= 1  o
 and since E(tJ4) = E(U), then
                               =  lo§
                                          d-s4)
                        - 0.502,
The expression for o24 was derived from the following relationship:
                                                                                             (2.19)
                                                                                             (2.20)
                                                                                             (2.21)
Since
                                                        ,    and
then,
                          4
This further simplifies to:
                         k   k
          VarCC/4) =

 4S2
W
(1 - 84)exp(2n4
and furthermore
                              k   k
                  - 62(1 - 64)
                                                          /"= 1
                                        (l-84)exp(2n4+o24)
                                              - 1]
                                                                            O.So2,)
                                                               (2.22)
                                                                                             (2.23)
                                                                                             (2.24)
                                                                                             (2.25)
                                               2-12

-------
Then from (2.21) above,
exp(u4+ O.
                       (1-64)
           d-S4)
               —	,    since E(UJ = E(U)
                                                                                           (2.26)
and letting
               il =  E(U) - 63 ££,-£,,     then,  exp(fi4+ O.
Furthermore,
                   1
                                     k   k
                                                                 (1-8)
                                                   (1-64)2
                                                          (2.27)
                                                                                           (2.28)
Since Var(U4) = Var(U)/4 and by rearranging terms,
     0*4 =  log

                       - 64) Var(U)
     (1-
                                                  4tf
                                                                      o2
I- 8rj
                                                                                           (2.29)
Thus, estimates of u4 and a4 were derived by using estimates of 81;...8k (sample proportion of non-detects at
observed detection limits D^—D^, u (mean of logged values),  and a2 (MLE log variance) in the equations
above.

In finding the estimated 95* percentile of the average of four observations, four non-detects (not all at the same
detection limit) can generate an average that is not necessarily equal to DI, D2,...s or Dk.  Consequently more
than k discrete points exist in the distribution of the 4-day averages.  For example, the average of four non-
detects at k=2 detection limits, are at the following discrete points with the associated probabilities:

                                 i       Df,               8%
1
2
3
4
5
                                                          48,%
                                        (2D.,+2D2y4
                                         D
                                              2-13

-------
 In general, when all four observations are not detected, and when k detection limits exist, the multinomial
 distribution can be used to determine associated probabilities, that is,
                           Pr
                                                   4!
                                               (2.30)
 The number of possible discrete points, k*, for k=l,2,3,4, and 5 are given below:
                                       k
                                       1
                                       2
                                       3
                                       4
                                       5
JL
1
5
15
35
70
To find the estimated 95th percentile of the distribution of the average of four observations, the same basic steps
(described in Section 2.4.2.2.1) as used for the 99th percentile of the distribution of daily observations were
followed with the following changes:

    1.  Change P^ to P9S, and 0.99 to 0.95.
    2.  Change Dm to Dm*, the weighted averages of the detection limits.
    3.  Change 6; to 8;*.
    4.  Change k to k*, the number of possible discrete points based on k detection limits.
    5.  Change the estimates of 6, n, and a to estimates of 84, jj.4, and a4, respectively.
Then, the estimate of the 95th percentile 4-day mean variability factor is:

                                 F95
                        VF4 =
                                E(U)'
since
           =  E(U).
                                                  (2.31)
Appendix C displays long-term averages and 4-day variability factors by analyte for each option and sampling
episode combination.

2.4.2.2.3 Estimation of Facility-Specific 20-Day Variability Factors and 95th Percentiles of 20-Day Means

Since TSS is proposed to be monitored daily, the monthly average limitation was based on 20 days of sampling.
However, the data used to calculate the 20-day,variability factors for TSS cover only 5 days of sampling of
daily measurements.  Therefore, at this time EPA does not have  sufficient data to examine  in detail and
incorporate any  autocorrelation between concentrations  for TSS measured  on adjacent days.  The
autocorrelation of TSS is further discussed in the preamble to the proposed regulation.

 It is assumed that the concentrations for TSS are independent of one another, and
                       E(1720) =  E(0)     and
                                              (2.32)
                                               2-14

-------
where E(U) and V(U) are calculated as in equations (2.3) and (2.4).  Finally, since U20 is approximately
normally distributed by the Central Limit Theorem, the estimate of the 95th percentile of a 20-day mean and
the corresponding 20-day average variability factor (VF20) are approximately
P9520 =  E(U20)
                                                                                            (2.33)
and
                                VF20  =
                                            20
                                                   P95.
                                                      20
                                        E(U20)
                                                                                            (2.34)
where $"'(0.95) is the 95th quantile of the standard normal distribution.

As noted in Table 2-3, EPA assumed 20-day variability factors for TSS. See Appendix C for the TSS 20-day
facility-specific variability factors.
                                               2-15

-------

-------
3. Estimation of Pollutant-Specific and Group-Level Variability Factors Resulting in Proposed Daily
                      Maximum and Monthly Average Numerical Limitations


This chapter describes the estimation of variability factors by pollutant ("pollutant-specific") and by group
("group-level"). Each group contained pollutants that were chemically similar. The pollutant-specific and
group-level variability factors were then used to develop limitations.

3.1     Estimation of Pollutant-Specific Variability Factors

After the facility-specific variability factors were estimated for a pollutant, the pollutant-specific variability
factor was calculated. The pollutant-specific daily variability factor was the mean of the facility-specific daily
variability factors for that pollutant in the option.  Likewise, the pollutant-specific monthly variability factor
was the mean of the facility-specific monthly variability factors for that pollutant in the option. Appendix D
displays the pollutant-specific long-term averages and variability factors calculated as described above.

3.2     Estimation of Group-Level Variability Factors

After the pollutant-specific variability factors were estimated as described in section 2.1, group-level variability
factors were calculated for metals.  These metal pollutants were considered to be chemically similar.

The group-level daily variability factor was the median of the pollutant-specific daily variability factors for
the pollutants within the group.  Similarly, for the monthly variability  factors, the group-level monthly
variability factor was the median of the pollutant-specific monthly variability factors for the pollutants within
the group.  Appendix E displays the group-level long-term averages and variability factors calculated as
described above.

3.3     Estimation of Potential Daily Maximum and Monthly Average Limitations

For metals,  potential daily maximum and monthly average limitations for each pollutant within each option
were set equal to the product of the pollutant-specific long-term average and the option group-level variability
factor.  Appendix F presents potential daily maximum and monthly average limitations for each option that are
calculated using group-level variability factors.
                                                3-1

-------

-------
   APPENDIX A






RAW DATA LISTINGS

-------

-------

*•!
s5
£

o
 (3 3
(A Z
.£-
§••£
E o
«°-.
0*1
O o «°
o.S E
W 5.3
uiz
Unit of
Measurement
for Amount
Laboratory
Method
Used
iH
tt Z
Analyte Name
CO
Q.
f
1
3
"5
D.
|
Q.
O




0
o
o
o
CO
T~
o>


o
I
8











0
o
8
fe


o
10
T—
8











o
o
8
CO
CO


09/22/94
CO
CM
in
o
•x
(
«
<
t
c
f
<
*
(
«
CHEMICAL OXYGEN
"
c




o
o
8
CO
CM


o
•<*•
in
s
D
I
J
5
6
s-
i
?
DEMAND (COD)
i/>
5
j
n
n
a
<




0
o
8
§3


09/23/94
S3
in
S
8











o
o
8
GO
T—


09/24/94
0
•*j-
in
a
s











o
o
8
o
§
co
CO

o
1
§











o
o
8
0
8
CD
CO

09/21/94
in
T—
in
8
s











o
o
o
o
o
o
t^

09/22/94
a
in
a
8
c
*
c
*
<
T
c
I
V
t
\
C
TOTAL DISSOLVED
"
"
e
e




0
o
o
o
CD
§
So

09/22/94
S
in
8
in
S
9
9
r
j
3
s
9
9
!
SOLIDS
n
5
j
7i
f>
0
3
X.




0
o
o
o
o
§
5!

1
8
to
8
8











0
o
0
o
o
8
¥

09/24/94
a
8







o
CD
CD
O
0






O
&
in
8
8







o
CD
CD
O
0






I
m
in
a
8







o
CD
CD
O
0






I
8
a
8
<
<
*
t
T
L
»
*
c
1
e
TOTAL ORGANIC CARBON
*
<
o
o
CD
O
0






i
o
§
s
in
o
Q
?
9
r
5
n
r
M
j
c?
o
fc
/)
!
n
n
0
3
s
o
CD
O
O
0






1
S
in
S
8







o
CD
CD
O
0






09/24/94
0
3
a
8











o
o
8
CM
CM


O
CD
in
a
8











o
o
8
CD


O
in
ib
&
8











o
o
8
CM


1
S3
in
a
8
t
*
t
«
i
c
e
c
T
e
i
c
C
TOTAL SUSPENDED
'
.
c
c




o
o
8
CM


O
s
s
CM
in
S
9
9
r
j
5
M
3
9
n
3
J
j
SOLIDS
j>
0
j
n
in
n
3
<
o
§
•*






o
s
8











o
o
8
^n


09/24/94
o
5
8
8


'








o
&
*


0
s
8
§











o
•*
CM



O
in
In
$
8











o
i



o
CO
CM
in
o
t
*
<.
«
(
e
c
c
*
L
«
C
C
c
«
r
i
i
!
c
1
1
c




o
co
T—


m
o
3
in
a
m
§
?
9
T
J
5
3
3
O
a
8
3
•m,'
3
3
Z
i
3
s
n
5
^
u
S'
«




o
CO
TJ-
T—


m
1
CO
CO
in
8
8











0
to
CD
T~


m
jr
3
c^
8








-------
c
•s.ti
o £
I"
c
.S
Is
S
oS
o §
JS
1^
flj J™
OcLn
l!
w0"
0^1
o w E
W5.J
UlZ
III
=p
FT)
_ OTJ
2 £ ca
|I =
8*1
gll
lalyte Name
<
t
=§
o.
Q.
0




C



1 09/20/94
r—
CM
8

















0



1
in
i
CM
in
o

















o
CO
8



1 09/22/94
CO
8
u
c
*:
C

CX
«
V
S
c*
c
^
S
>
C
P
•a
u
Tj
&

<




o
§



o
Si
in
CO
CM
in
S
9
3
r
J
3
>
1
)
)
)
t










O
CO



CO
CO
I
in
o

















o
CO
L



09/24/94
o
u
CO
CN
£

















O
cc
05


m
09/20/94
3
in
o

















o:


ffi
09/21/94
in
i
CM
8





















o
CO
8
u
c.
^
s
0

p>
(C
r1
es
cc
f
i
S
c
u
Q

_u
a
fe

<
LJ
rs






09/22/94
S
in
CO
CM
in
o
Q
9
>
J
3
>
1
)
1
)
)
•










o
cc


m
1
S3
m
in
o

















o
cc
CO


m
09/24/94
o
i
CV
in
o

















o



09/20/94
M
8

















o



09/21/94
in
8

















o
IT



09/22/94
CO
8
u
^
«
<;
S
<'

<\

1
i
i
'










0
g
co_



09/23/94
I
m
o

















o
o
CO
r--



09/24/94
o
X
CV
If

















in
CD



09/20/94
N
in
o

















in
in
OJ



o
in
T-
8

















a



o
CO
CM
8
a
•5
C
^
(•


cc
T1
S
«:
?
S
§
c
<
c
JS
"5
*•
cu
^

«




i



09/22/94
in
CO
CM
m
o
Q
9
r
9
•
J
)
3
>
i
>
i
i










8
CO



09/23/94
CO
S
in
o













o







09/24/94
i
CO
CM
in
o













o
o






o
1
m
o













0
0






o
in
i
CM
8













o
o






o
CO
CM
8
C!
«!
K
v*
f\

e
«
T
f
l~
«3
i
"!
r-
|
C
D:
o
5
E

"
o
o






09/22/94 I
i
CO
CM
in
3
3
r
3
•
I
i
3
>
i
)
•






o
o






o
CO
1
in
o













o
o






i
£
§
o
u
in
o














-------
 I

S
 C8
•s
Q


I
i
 cu

o
BE
Q

.1
Bl
= 1
«§
u
S v-
Q~
is
(O 1 3
0 —
E'o
fl> t.
Q-g-S
U in E
CO '5.J
uiz
Is
III

-p
S^g-D

•|1S
CO =
£"-
 s;^


flj J!J
,


I,
1
01
Q.
1
0
a
i
1




,_
o
CO






09/20/94
fe
in
co
CM
in
o




























m
CM





m
09/21/94
in
S
CO
CM
in
o




























CO
S






p
CO
in
o
(
*
c
«

<


i

<
i

(
(



i














CM
CO






09/22/94
in
8
D
e
a-
B
a-

j
3
3

->
M
O
p-

»
-)
f)
D
T
«•
^

X.
JJ
•J
I/)
S
o



eC




CO
o





CQ
o
CO
i
in
o
























o
rri










o
o
i
in
o




























o
D
CM





09/20/94
1
8




























o
0
CM
r—





09/21/94
in
§
CM
8




























O
O
§
•*





1
1
8
<
«
i

:
<


«

<
i

(
(
-


*
i


-










O
o
g
•*





09/22/94
CM
in
o
Q
0
§
a-

3
3

•3

O
r-

D
3)
»
39
O
q-
^


Z
X

S
cu



**




o
0
0
•^





I
g
8




























o
o
CM
CM
T~





rj-
1
8
























o











09/20/94
i
8
























o
s?



'






i
in
8
























o
CO
TT










1
CO
8
>
t
«

:


<
i
<
i

i
<
i
•i
- i
«
1


1
1
I






0
CO










i
1
in
?
9

J.
3
3

3
NJ
D

—
M
T>
n
t
(T
^


g

Cfl
s
0)



<




^.
o>





CO
s
CO
CO
CM
m
o
























0
tn










09/24/94
CD
CM
in
o




























o
n






09/20/94
o
in
CO
CM
in
o




























o
§






o
in
in
o




























o
§






09/22/94
CO
CM
in
CD
CM
in
o
c
4
<
«

<


(
1
<
1

I
(
t
1
1
«
I
1
1
!
:
<
1
1
I









O
g






o
in
8
Q
8
a-
9

J
5
3

3
M
0

n
D
3>
3)
i)

•*•
u
JJ
z
3
z-

S
a



e£




o
8






o
CO
s
«
8




























o
in






o
o
8
























o
CM










09/20/94
§
8
























o
CM










i
to
t—
8




























o
in






i
CO
8
<
. «
c
«

<


c
1
(
' 1

<
1
1
1
1
•
(

*
t
'
(
1
1









g







s
1
in
?•
9

5
3

3
M
0

D
n
»
o
a-
^

^
3
n
u
2
£



eC
o
CM










1
CO
CO
s
CM
in
p
























o
CM










1
I
CM
in
o

























-------
 a

!
I
n
 1
K
 i
 5^
•3*
i*
i3

i
CO C
o
S*
SF
o §
_co
E ««
1°
g||
3 ~>
II
to
ffe
.3
°.S2 E
lS*Z
?!
O T3

|iS
all
ttZ

i
§

5
D.
Q.
O


o
g





09/20/94
1
in
o



















o
in





1
in
T—
m
CO
CM
in
o



















0
o





o
CO
in
o


c
c
r
C
c
p
ci
r
l»
a
0
o
S
§
U
a
S
j/
f
t
S

<



0
fe





09/22/94
1
CM
in
S


3
r
j
3
9
J
3
«
9
>
9
P
*

1
i
>
i
i
*
i





0
CO
00
in





rl-
O
CO
i
g



















0
u





09/24/94
§
CO
CM
g

















o
a"








1
N-
O
in
g



















i^
s




m
1
in
i
CM
g



















O
§





09122/94
1
CM
g


«
«;
U
<;
C
e
p
u
r
P>
e
Cv
ec
i-
i»
s
LI
LL
V
a
Ct
4n
e


!
1
i
i
t
)






f-
CO
CO





0
§
in
o



















in
CM
CM




m
09/24/94
i
in
o

















o
c
in








09/20/94
s.
in
o

















S
in








o
in
in
o



















10
CO
CM





Tj-
o
CO
1
g


u
r
(I
^
(
c
r
a
V
t
f>
c>
c
^
1
r«

Q
L
^
U

_u
7
e

c
?

1=
i
•a
I-
1-
j/
•>
<
g


-------

(O ,_
cS'g
£ j
°

.9
^ 1»
is


o
u
Qi=
0)
D-S
i?S
o~ "
(/> CO 3
t/3 Z
fi
O *-
O «£
10 '5-1
is
0 | 0

Is
5
111"
S ^* 3
«s
„!!
S "O> S
"si



c
AnalyteNar


0>

h"

(Q
3
1
§
•••8.
o





0
CO
T—







o
1
g

































0
CO
o
T—







1 09/21/94
5
8
g

































o
s







o
CO
CM
in
CO
CM
in
o
C!
-^
u
«s


c


s
T"

(I
c
ci
C
r
n
t-




c.
R




u
n
•S



4






o
CO
,10
•c—







i
1
8
Q
s
p
9

J
5
3


3


3
3
3
3
•
•
«




)




1
3

i









^c
ff







o
CO
CO
s
CM
in
o

































i^
8







I 09/24/94
0
CN
in
o

































o
8
o
CO
w





f 09/20/94
8
8
CM
CO
O

































O
o
8
T-
O)
CM





09/21/94
CD
8

































o
o
8
CO
in





o
in
8
e
<
- ^


C


r
C


>a
c
. c
t


LU
0
^"
CHEMICAL OX



a
a
.b
a
it
R
-C

a:






0
o
8
CO
'*





o
CO
CO
0
Q
3 •
•
3
•

J
5


9


p
]
9


Q
J5
0
1
il
Q



)













o
o
o
o
on
T—





O
CO
CM
CO
o

































o
o
o
CD
r\






c
i
CO
CM
CO
O

































o
8
o
0


CO



I
8
s
CM
CD
O

































O
8
o
0

m
CO



09/21/94
CO
1
CD
O

































O
o
o
o
o

CO
CO



i
in
8
8
t
c


C


T1
U

c
• 1-
e
C


a
LLI
	 i
TOTAL DISSO



u
R
C
0
If
R
U

DC






o
o
CD
O
o
o





09/22/94
CO
CD
0
Q
)
• •

1
3


9
)

1
>
>




/>
O
(/>



>
1












0
o
CD
O
o
o
CO




o
i
CO
o

































0
c
r>
o
co





09/24/94
i
CO
CN
CO
O




























o


o










09/20/94
oo
o
in
CO
CM
CO
o




























o


o










o
CO
§
CM
CO
o




























o
R
o
o










CM
1
CD
o
«
c


2


T-
If
r




9


1
>
)




3"
D












o
c=
o
0










o
•M-
s
8




























O
o
o
o
o










09/24/94
i
CO
CM
CO
o




























o
o
o
Tj-










09/20/94
CO
o
p
CO
o




























o
o
o
tf










09/21/94
CO
5
CO
CM
CO
o

































0
o
8
in






o
CO
CM
CO
o
«
c


t


o
c
u

g
e
C


Q
LU
a
?»
TOTAL SUSPE



if
R
C
it
If
n1
C

DC

o
o
o
•*3-










CM
1
CO
CD
Q
3
•
1

\
3


|
9
9

i
>
>




V)
a
_i
o
LO

















0
8
O

T-





09/23/94
CO
s
CM
CD
O




























O
o
o
•^t-










09/24/94
I
CD
O























-





-------
S-
o'g
2 5
S

o|
||
0
s te
o §
CD
1-1
|S
O "5..S
CO ra 3
COZ
"E.C
Eo
TO o.
V)
sll
"S-i
C *•
op
= l-2
?*„

|i3
o,||
CJ ^" *?
iS ^5

i
i
c
CD
1=
€
3
"5
Q.
|

O



0
co-



rn
09/20/94
CO
o
s
CM
8
























0
o
T—



ffi
1
CO
8
























o
CO



m
09/22/94
S
in
8
8

C
«
C
*
(
•
<

c
1
I
(
<
<
<
1
1













O
CM



m
09/22/94
in
CO
CN
CO
§

o
9-
3
T
J
O
3
->
M
O
•"
A
D
39
I>
N
T
^
S
r»
i
3
sC
(ft
s
cu
s


Cfl





o
s



m
09/23/94
CM
8
























o
8!



m
09/24/94
1
8
























o
s




09/20/94
CO
1
CO
o
























o
s
CM




09/21/94
CD
i
CM
CD
O
























O
CN




O
in
1
CM
CO
o

c
«
c
1
:
<

I
i
<
i
I
(
<
<
1
1














O
s
CO




1
CO
01
s
CM
8
Q

3
3
»
5

->
v|
£
i
"5
3
J-
T
**
>
3
S
=t
in
S
0
S


CQ





o
V




1
CO
cS
CM
CO
o
























o
s




1
CM
CO
O





























m
09/20/94
|
CO
o





















g
CM








O
CO
5
8





















o
a








09/22/94
in
8

C
«
C
4
(

c
i
c
i
(
c
c
<
•
«
i
;
:
1








o
a








09/22/94
in
CO
CM
CO
o
Q

O
T
3
f
J
3
3
S
VI
O
•"
M
a
"9
a-
er
-«.
J
Z
±1
2
<
en
a
cu
S


CD





o
CO




- 09/23/94
1
CO
o
























o
o



m
1
CM
CO
O
























O
g
CO




09/20/94
§
8
CM
CO
O
























0
r—




09/21/94
CO
i
CM
CD
O
























0
I




o
in
CM
in
CO
CM
CO
o

c
*
<
«
<

(
1
<
1
(
(
«


1
<
1
(











0
o
s




o
in
CO
CM
co
o
a

O
r
3
T
j
5
3
S
M
O
••
a
M
I
T
sr

z
2

(A
5
fei


CD





0
o




09/23/94
1
CO
0
























o
o




F09/24/94
CM
CD
O
























^-
£




1 09/20/94
o
N
CO
o





















s
in








CM
CO
CO
o
























en
S




CM
in
CO
o

r.
n
«
:

<
i
<
i
(
I
•
I


1
•
i
1
i
<










in
CO
10




1
CM
CO
O
Q

o
s
3
3
3
M
O
J>
»9
cr
3
»
"T

g
3
fe
rf
J
(A
S
a>
fe


GO





CO
S




o
CM
CO
o





















o
o
10°








1
d
§
CO
CM
8






















-------

o ^
Ij
a

o
ft!
« s
c S
o
0
flj j^

la
'is
c RJ
1°
u fc
O Q.J3
"E.S
CO*4"
o'l
•g-st
£*
sfi
UJ 9

CD
E
1
I
"
CD
a.
03
' 3
o
a.
c
o
S.
O
o
o










1
O
CO
§
g


























o
0










1
05
o
CD
r—
in
g


























o
0










1
o
in
8
g

t
*
<
«


<

c
<
t
i

t
i
*
<
•
i
i
1

i
1


"






O
a










1
o
1
CO
§

9
D
f'

I
3
3
->
2
••


a>
X—




m

Tl-
O
m
Csl
CO
o

(
4
<
«




c
c
(
1

(
<
1
(
«
«
1

t
(
(












o





CD

1
1
i
CD
O
a

i
o
T

.1
3
3
->
M
O

a
g
3
tr
r
«N

•XL
a
O
J
15
S




^

o











i
1
CM
CO
O


























O











1
O
I
CO
0






























T—
N




m

1
o
CO
CO
o






























0
o






1
o
CD
§
CM
CO
O





















--








0
CM
CO
T—






1
O
m
CM
in
co
CM
CO
O

(
*
c
«




c
c
c
1

<
<
c
(
c
1
r


1
<
1


1










o
§




m

Tl-
1
s
CM
co
o
a

3
o •
T

J
3
3
->
M
O

O
n
o
39
•O
a-
N(


I


M
0

•"
M
»
n
•j
r
•*


3

V)
a
0
S




CO

0
s?










1
1
"3-
S
CO
CM
CO
o


























0
s?










1
1
S
CO
CM
co
o






























o
S






1
1
CO
1
CO
o






























o
•a






1
1
CO
55
g






























o
in
m






1
1
in
S
CD
CM
g

(
V
C
•4


(

t
t
c
i

i
c
(
(
(
V
1
1
|
1
i
(
1
1
1












O
S






i
i
CO
CO
§

6
r-
D'
»•

J
S
3
3
M
O

§
n
3?
r
•^
u
fi
\
S
in
2
c
S




90





o
g
m






i
i
1
CO
o






























o
in
a






1
1
a
CO
CM
g



























-------
c
1:1
i-1

§

g §
•* c
o
u
2 v.
o is

CO ^
Eg
(3 Q
CO
O *cLn
CO <3 3
IOZ
!••£
j£

0^1
wi. 3
LU2
Unit of
Measurement
for Amount
S*~
|1=
wtl
o'g'i

a


i
S


0
D.
O
a.
0
8
CM












09/20/94
1
8


-

















8
CM












09/21/94
co
i
CM
8




















8
CM












0
in
8
CN
CO
o

a
t
^
(
S
u
r
CI
f
a
a
f
^
r

>
Q
t
Q
U
E
£
~
*



EC

8
CM












I
co
CM
CO
S

3
J
r
J
5
3
3
9
9
1
5
)
•
*


1

5
2
I
i



1

8
CM












1
CM
8




















8
CM












09/24/94
S
CO
CN
8























o
en
in
CO









09/20/94
CO
§
8























o
CO
CM
CO









CM
CD
in
8























o
gj>









o
in
CO
CD

u
>!
(
«;
t
c
U
T
t-
o
a
a
c<
^
f
c

U
C
0
c
u
"5
3



a




o
S









09/22/94
S
CM
CO
8

3
r
3
r
j
J
3
3
9
*
9
5
5
1
•
*

3
1
1
J
\
i
1
i
t
i
i



J




0










o
in
CO
o























o
0
in









09/24/94
1
g




















0
CM












09/20/94
CM
CO
o




















q
CM












09/21/94
CO
i
CM
CO
O




















q
CM












o
CM
CO
o

(I
•«
u
^
I
f

a
9
*
*


3
t
1
J
)
»
3
rf
i



1




in
in






m


o
CO
CN
CO
O




















0
CM












09/24/94
CN
CO
o




















8
in












o
8
CO
o




















8
in












09/21/94
CO
§
CM
CO
o




















8
in












I
1
CO
o

u
T
u
^
<
S

fl
c
^
I"


0
L
*•
C

U
]



a

S
in












1
S
CN
8
Q

3
r
>
J
5
9
j
9
r
j
j
9
•



/
]
•
J
5

i
2



i

8
m












o
CO
S
CN
CO
O




















O
o
in












09/24/94
2R541
cc
c























in










Tf
CO
CO
o




















q
CO












09/21/94
co
CO
o




















q
CO












0
in
CO
o

a
<*
e.
f
I
£
a
V
u
V
(V
>t
•«
1-


Z
F

u
j



tt

o













09/22/94
in
CO
S

•)
r
3
r
j
3
3
>,
9
9
?
9
r
•
«


*

2
!
i



i

q
CM












O
1
8




















q
CM












§
c
i
CO
Cv
8





















-------
 a
•s
Q


I


.2 «
l|
§
,M
(Q C
-5g
o
o
2 *-
oii
O §
a
g-S

» S
8Ii
Si „
E'o
w0"
CJ o >Q
°.2 £
u*z
III
P|S
ft.
JO iC QJ
O "qj JS
§s
41
CO
o

c
lutant Type
o
a
c
o
a.
0
o

CO








i
o
on
8
CD
O



°.






m
1
o

O

i
CO
s



in
CO







CM
°

CO
s
CM
8



«







s
c

u
c
c
cc
c
CO
s

s-
=>
o
CM
CO

CO
CO
0
' s-
o
z •
IM


2
a>



ca


-------

-------
    APPENDIX B






SUMMARY STATISTICS

-------

-------
••a
   .
cn ts

CQ §

•o n^
too
"On*
I'll
-
§>O'
Maximum
(ND,NC)
£G-
5~
•si,
 o
f O
> T-
i O
> 6
e
'


o

10.000.0
o
e
o
c
c
c
o
e


d
i
d



o
M
3
6
j



o
en
|
C"
24,000.0
g"
c
^
24,000.0
c
CD
d
a
"



05
O
3
f\
,
/)
o
-

1

r- o

o o
ii
3 0
•» a

r- CO
-' CD
3 If
3 q
O V"
T CM
•" M


9 O
5 in

> o
7440360
ANTIMONY
• -


i-

c
CO
o
8
g

o
o
en
s
t-
o
o
s
*™
in

o
7440382
ARSENIC



o

o
c
o
e
CO
o
If
T-"
o
g
o
T—
q
1C
ev
If


o
in

o
7440428
BORON



CM
CB

CM
in
u
0>
o
o

in
in
en
o
u
CO
5
in
o
o
in
'
in


7440439
CADMIUM



o
o

o
c
0
e
o
o



°
q
in
in

0
7440473
CHROMIUM



CM

CO
0
CO
g

CO
co
e
r-
§
en

in

o
7440508
COPPER



o
0
*•
o
c
c
o
o
o
T-
o
g
0
c
e


o
in

o
7439896
z



cv
C!

r
c

-------

Standard
Deviation
(ND.NC)

II
«$§.

Maximum
(ND.NC)

IS

I1

I1
i
"SS
C3
Minimum
(ND)
11
11
ra CL
^3
W)
TO
O
1
*.*
5
1
i
o
369,000
o
258,000
o
I
0
a
o
888,000.
o
a*
T-


O
in
s

s
6
c
ti
Classicats
ffl
o
3,830,000
0
38,200,000
o
|
CO
•
o
0
1
o
?
o
0
r-
S
CM
35
t—
3
O
i—
t—


O
in
CD
o
ir.
en
s
ALUMINUM 1
2
j;
n
"a
m
T-
0
O
(O
T
CO
o
i
o
g
CM
O
5
o
1


o
in
CO
0
o
CD
O
*r
ANTIMONY 1



eo
fl
CM
CO
o
s

CM
o
o
T-

CO
o
s
§
ts
CM
in
§
CD
O
^>
ARSENIC 1



v
in
en
o
8
P^
T-"
O
§
00
T"
0
in
CO
CO
o
0
I
o
3
CO


o
in
CD
o
3
o
*r
BORON



T"
CM
CM
cn
en
T"
r^
5

in
l^
&
^
T"
§
in
o
o
in
CM
in
§
8
c
TT
CADMIUM 1



o
0
o
0
^«
o
o
^
0
0




o
o
r*
O
O
in
m
s
R
c
V
CHROMIUM 1



fr!
CM
T"
O
r"
CO
V
T-

05
co
*r
T~

O5
O
O
05
§
en
CO
in
CD
o
CO
o
c
T
COPPER



[*»
^
0
CO
CM
T-
O
CO
r^
T-
t—
CM
r-
o
CO
r«
r-
«-
CM
t~


0
m
CO
0
§
g
•
«»
<3
U.



T~
in
CO
0
in
*r
in
O
cn
cn
in
o
3
in
O
g
in
o
in
o
in


O
in
s
s
O5
V
MANGANESE I



o
o
o
cJ

CM
O
S




O
o
CM
O
0
CM
m
in
CD
0
CO
cn
cn
*r
MERCURY 1



CO
in
r~
o
g
in
o
O5
S
O
CO
^
o
cn
in
CO
o
CO
T


O

CO
o
i
cn
«r
MOLYBDENUM 1



t—
T-
O
g
in
in
T
O
S
in
in
*r
CO
S
o
CM"
o
3
CO

CO
o
CM
?
f}
£
U
u
CO



o
o
o
in
o
%
o
in




S
in
§
If,
in

CO
o
S
0
s
SILVER



o
»f
in
T"
CO
in
cn
CO
o
cn
CM
in
cn
CO
in
cn
CO
o
£
o
a:
CM
T

CO
o
IT
0
S
1




.
CO
CO
cd
CM
cn

CO
CM
O)
T-
o
^r
o
o
CO
§
CO
CM

CO
O
8
i
s
TITANIUM




cc
cv
s
If,
cc
w
c

u
cc
p
a
S
JI
e
c\
u
C]
cc

-------
                 APPENDIX C






     FACILITY-SPECIFIC LONG-TERM AVERAGES,



VARIABILITY FACTORS, AND POTENTIAL LIMITATIONS

-------

-------
 t/i
I
•s
•8
 cu
•o
1
1
 e


 I
 OB

 §
H-I


i
C^
u
rs
O
.a
•a

i
|«
j>
cu
O)
^§

2 ^ 'p
••=j?J
0
>,

>1
oE
"g £'£

IIJ
u
•§•="=

Ifi
|2 W O
Ijs
,i cno

l7l O 
0)
ra
U
c
o
5.
0
u


i
0
o
T-




c
§
cc
eo"



g
*~
g
o
CO


87,000.0
CO

239,000.0
o

m
S
i

I

CD

03
O


*"•

S-


|


CV




g
g
t*
s

a

g
in
co~
g


IX
VI
S
1
en
in
36,900,000.0
0

m
S
o
S

a









«


g
CO
1


T™


°
g





CM

S
T-"



T"
a?


1 13,400.0
^
.
m
g
en











CV

0
3






c
CO
CO
CO




T-
ec
•T



T"





§
7429905

ALUMINUM

in

P



*

T"

0
s






c
CO
T~
in




e



CO
CO




in


q
T"
00
CO
o

in
in
o
7440360

ANTIMONY









a

CM
r-
r-




«

M
CM
CO




S



s
en




CO


CO
-

in
m
o
7440382

ARSENIC









CO
c

o
i
t-



co
cv

c
o
CM



cc
IT



d
r-
T-1



i


q
o

in
in
o
7440428

BORON









S

o
g






c
CO




s



s




O)
CO


CM
f—

in
in
o
7440439

CADMIUM









S

CVI
CM
CO




$

Tf
CO
CD




CO
r*



eri




CM
T*


CO
CO
r-

in
•
7440508

COPPER









3

o
3
CO



£

a
0
en
CD



a

*~

o
CM



|


§
CO
en
r-1
o

in
S
7439896

2
X









CD
c

0
cc




r-

c
g




uj
CO



o
CO
in




1


q
5
o

m
in
o
35
S
u
MANGANES









o

0
a




«

c
en
K




i



o
en
S




in
S


0
CO
5
o

in
in
o
7439987
E
MOLYBDEN









m
a

o
c




in
a

e
H




en
CO
in



in




en
d


CO
cri
T™

in
in
o
7782492

SELENIUM









en
r-

CO
CO




CO

f:
IK




•q



CM
CO
CO




S


o
CO
CO
CO

in
in
o
7440315

Z









CO
u

*)
CO




in
cv

,-
CO




CO
cv
cvi



i




in
V-


en
CO
CO
CO

in
in
o
7440326

|









o
C"

e
en
in
^




CO
O

r
i




v-



c




en
O!
CO


q
CVI
T"
0

in
S
7440666

O









3

c
e
o
CM


r"

O
|
R



O
g
c
g"
«"•
q
»n
M


q
1
CO

258,000.0
o

in
g
C-004

a
CO
s
in
in
m
5


CO

S

c
c
o

5:

%

o
o
e>

cc

o
g
c

«
o
d
g
o
CVI
CO
CO
o
g
i
co
CO
38,200,000.0
q

in
CD
o
o

a









a

C
1




CD

O
o
o
CO




o
s
T


O
d
in



i
o
co"


o
g
in
in
CO

m
CD
O
en
o
o

y>









09

O
CM
O




s

o
CM
S




IK
CO



q
CE




en
CO


o
g
o

in
CD
O
7429905

ALUMINUM

in
S
2



m

in
r-

O
cr




CO

O
CO
£




i



q




t-|!


O
CD
CO
O

in
CD
0
o
o
5

ANTIMONY









CD
en

CM
CD




5

CD
CO




S
CO



cc




CO
CM


CM
t-
eo
CM

in
CD
0
CM
CO
CO
O

ARSENIC









s

o
o
T™



CO

o
as




a>



q
*•



5
en


q
T-
o

in
g
1

I









s

CO
§




3

o
R




i



q




CM
CM


en
CD
r"
CM

m
CD
O
7440439

CADMIUM









CO
cv

,_
«




CO

^
CM
CV1




CM



CO
d




§
cvi


r*
0
CO

in
CO
o
1

COPPER









c*

o
£




g

O





5



§
CO




8


q
o

in
CO
o
7439896

i









g

o
rt




CD

O
CB




r»
CO



O
in
in




i


o
in
in
o

in
CO
o
en
i
in
MANGANES









CM

O
O
in
CD




CC

O
s




CO
d
CO



q
CO
in




CD
in


o
g
in
o

m
CO
o
1
"1
MOLYBDEN









CD
*r

t-
^




s

CO
CO




•cr



2
CM




T-


q
CO

U)
to
o
7782492

SELENIUM









CO
T-

cn
in
r-




cn
en

CM





in
q
 o •
^?S
|s-


y
^^
  cu
on u

"I
h O
51

  I

-------

-------
             APPENDIXD






POLLUTANT-SPECIFIC LONG-TERM AVERAGES




       AND VARIABILITY FACTORS

-------

-------
          Appendix D.  Pollutant-Specific Long-term Averages
                          and Variability Factors

 Estimates calculated as Mean of Facility-specific Results. No Imputation Performed
                                SCC Data Only
Option
A

A
Category
Classicals

Metals

B
Classicals

B
Metals

Analyte
COD
TDS
TSS
ALUMINUM
ANTIMONY
ARSENIC
BORON
CADMIUM
COPPER
IRON
MANGANESE
MOLYBDENUM
SELENIUM
TIN
TITANIUM
ZINC
COD
TDS
TSS
ALUMINUM
ANTIMONY
ARSENIC
BORON
CADMIUM
COPPER
IRON
MANGANESE
MOLYBDENUM
SELENIUM
TITANIUM
ZINC
Cas_NO
C-004
C-010
C-009
7429905
7440360
7440382
7440428
7440439
7440508
7439896
7439965
7439987
7782492
7440315
7440326
7440666
C-004
C-010
C-009
7429905
7440360
7440382
7440428
7440439
7440508
7439896
7439965
7439987
7782492
7440326
7440666
Long Term
Average (ug/i)
306,000.0
37,000,000.0
14,300.0
198.0
382.0
9.52
1,710.0
62.3
19.6
2,030.0
518.0
579.0
53.5
33.2
4.03
122.0
351,000.0
38,200,000.0
5,840.0
161.0
347.0
8.27
1,730.0
22.0
10.3
130.0
545.0
581.0
26.7
7.38
24.3
Daily
VF
11.9
1.48
4.10
1.70
1.34
3.39
1.23
7.76
3.49
3.40
1.17
1.31
4.95
1.73
3.25
2.03
11.4
1.26
4.16
1.62
1.48
2.01
1.13
6.20
2.18
2.08
1.16
1.36
2.93
5.99
2.19
Monthly
VF
3.55
1.15
1.31
1.21
1.11
1.81
1.08
2.57
1.64
1.62
1.06
1.10
1.95
1.19
1.53
1.30
3.44
1.08
.1.28
1.19
1.15
1.96
1.04
2.24
1.28
1.31
1.05
1.12
1.46
2.16
1.45
    For TSS, the monthly variability factors are estimated assuming 20 days of sampling.
For all other pollutants, monthly variability factors are estimated assuming 4 days of sampling.
                                    D-l

-------

-------
          APPENDIX E




GROUP-LEVEL VARIABILITY FACTORS

-------

-------
                    Appendix E.  Group-level Variability Factors

                                     SCC Data Only
Option

A
B
Category

Metals
Metals
Number of
Pollutants in
Each Group
13
12
Daily
VF

2.03
2.05
Monthly
VF

1.30
1.30
        For Metals, monthly variability factors are estimated assuming 4 days of sampling.

Option A Metal Group defined as Al, Sb, As, B, Cd, Cr*, Cu, Fe, Pb*, Mn, Hg*, Mo, Se, Ag*, Sn*, Ti, Zn
Option B Metal Group defined as Al, Sb, As, B, Cd, Cr*, Cu, Fe, Pb*, Mn, Hg*, Mo, Se, Ag*, Sn*, Ti, Zn
                     *Implies Delta-Lognormal Estimation Criteria Not Met
                                         E-l

-------

-------
             APPENDIXF



POLLUTANT-SPECIFIC LONG-TERM AVERAGES



      AND POTENTIAL LIMITATIONS

-------

-------
         Appendix F.  Pollutant-Specific Long-Term Averages and Limitations

 Potential Limitations for Metals are Imputed Based on Group-level Variability Factors within Option
                                     SCC Data Only
Option Category
A Metals

B Metals

Analyte
ALUMINUM
ANTIMONY
ARSENIC
BORON
CADMIUM
CHROMIUM
COPPER
IRON
LEAD
MANGANESE
MERCURY
MOLYBDENUM
SELENIUM
SILVER
TIN
TITANIUM
ZINC
ALUMINUM
ANTIMONY
ARSENIC
BORON
CADMIUM
CHROMIUM
COPPER
IRON
LEAD
MANGANESE
MERCURY
MOLYBDENUM
SELENIUM
SILVER
TIN
TITANIUM
ZINC
Cas_NO
7429905
7440360
7440382
7440428
7440439
7440473
7440508
7439896
7439921
7439965
7439976
7439987
7782492
7440224
7440315
7440326
7440666
7429905
7440360
7440382
7440428
7440439
7440473
7440508
7439896
7439921
7439965
7439976
7439987
7782492
7440224
7440315
7440326
7440666
Estimated
Long Term
Average (ug/i)
198.0
382.0
9.52
1,710.0
62.3
10.0
19.6
2,030.0
47.7
518.0
2.64
579.0
53.5
9.49
33.2
4.03
122.0
161.0
347.0
8.27
1,730.0
22.0
10.0
10.3
130.0
46.8
545.0
2.00
581.0
26.7
5.00
31.5
7.38
24.3
Potential
Daily
Maximum Limit
(ug/l)
401.0
775.0
19.3
3,460.0
127.0
20.3
39.8
4,120.0
96.8
1,050.0
5.36
1,180.0
109.0
19.3
67.3
8.18
248.0
330.0
709.0
16.9
3,540.0
45.1
20.5
21.0
267.0
95.7
1,120.0
4.09
1,190.0
54.6
10.2
64.4
15.1
49.8
Potential
Monthly
Average Limit (ug/i)
257.0
496.0
12.4
2,220.0
81.0
13.0
25.5
2,640.0
62.0
673.0
3.43
753.0
69.5
12.3
43.1
5.24
159.0
209.0
449.0
10.7
2,240.0
28.5
13.0
13.3
169.0
60.6
706.0
2.59
753.0
34.6
6.48
40.8
9.56
31.5
         For Metals, monthly variability factors are estimated assuming 4 days of sampling.

 Option A Metal Group defined as Al, Sb, As, B, Cd, Cr*, Cu, Fe, Pb*, Mn, Hg*, Mo, Se, Ag*, Sn, Ti, Zn
Option B Metal Group defined as Al, Sb, As, B, Cd, Cr*, Cu, Fe, Pb*, Mn, Hg*, Mo, Se, Ag*, Sn*, Ti, Zn
                     *Implies Delta-Lognormal Estimation Criteria Not Met
                                          F-l

-------

-------