NR 105.05(3)(f)1.1. For each species the species mean acute intercept (SMAI) is calculated as e
Y.
NR 105.05(3)(f)2.
2. For each genus for which one or more SMAIs are available, the genus mean acute intercept (GMAI) is calculated as the geometric mean of the SMAIs available for the genus.
NR 105.05(3)(h)
(h) Ranks (R) are assigned to the GMAIs from 1 for the lowest to N for the highest. If 2 or more GMAIs are identical, successive ranks are arbitrarily assigned.
NR 105.05(3)(i)
(i) The cumulative probability (P) is calculated for each GMAI as P=R/(N+1).
NR 105.05(3)(j)
(j) The 4 GMAIs are selected which have P closest to 0.05. If there are less than 59 GMAIs, these will always be the lowest GMAIs.
NR 105.05(3)(k)
(k) Using the selected GMAIs and Ps, the ATC is calculated using the following:
NR 105.05(3)(k)1.
1. Let EV = sum of the 4 ln GMAIs,
EW = sum of the 4 squares of the ln GMAIs,
EP = sum of the 4 P values,
EPR = sum of the 4 square roots of P, and
JR = square root of 0.05.
ATC = e(V ln(water quality parameter) + ln ACI).
The ATE shall be applicable only over the range of water quality parameters equivalent to the mean plus or minus 2 standard deviations using the entire fresh water acute toxicity data base and the water quality parameter transformation employed in par. (a). If the value at a specific location is outside of that range, the endpoint of the range nearest to that value shall be used to determine the criterion. Additional information may be used to modify those ranges. The final acute value (FAV) equals 2 times the ATC (acute toxicity criterion) calculated using the formula in this paragraph.
NR 105.05(3)(m)
(m) If, for a commercially, recreationally or ecologically important species, the SMAI is lower than the calculated ACI, then that SMAI is used as the ACI instead of the calculated one.
NR 105.05(3)(n)
(n) Table 2 contains the acute toxicity criteria for the fish and aquatic life subcategories listed in s.
NR 102.04 (3) that are calculated using the procedures described in this subsection for substances meeting the database requirements indicated in sub.
(1) (a). Table 2A contains the water quality parameter ranges calculated in par.
(L).
NR 105.05(4)
(4)
Secondary Acute values. If all 8 minimum data requirements for calculating acute toxicity criteria in sub.
(1) (a) are not met, secondary acute values (SAVs) shall be determined using the procedure in this subsection.
NR 105.05(4)(a)
(a) In order to calculate a SAV, the database shall contain, at a minimum, a genus mean acute value (GMAV) for one of the following 3 genera in the family Daphnidae -
Ceriodaphnia sp., Daphnia sp., or
Simocephalus sp. To calculate a SAV, the lowest GMAV in the database is divided by the Secondary Acute Factor (SAF). The SAF is an adjustment factor corresponding to the number of satisfied minimum data requirements, listed in sub.
(1) (a). SAFs are listed in Table 2B.
NR 105.05(4)(b)
(b) Whenever appropriate, the effects of variable water quality parameters shall be considered when calculating a SAV, consistent with the procedures described in sub.
(3).
NR 105.05(4)(c)
(c) Whenever, for a commercially, recreationally or ecologically important species, the SMAV is lower than the calculated SAV, that SMAV shall be used as the SAV instead of the calculated SAV.
NR 105.05(5)
(5)
Acute toxicity criteria expressed in the dissolved form. Acute water quality criteria may be expressed as a dissolved concentration. The conversion of an acute water quality criterion expressed as a total recoverable concentration, to an acute water quality criterion expressed as a dissolved concentration, the portion of the substance which will pass through a 0.45 um filter, shall be done using the equations in pars.
(a) and
(b). Substances which may have criteria expressed as a dissolved concentration are listed in par.
(a) with corresponding conversion factors.
NR 105.05(5)(a)
(a) The conversion of the water quality criterion expressed as total recoverable (WQC
Total R.) to the water quality criterion expressed as dissolved (WQC
D) shall be performed as follows:
WQCD = (CF)(WQCTotal R.)
Where: WQCTotal R. = Criteria from NR 105, Table 1 or 2.
CF = Conversion factor for total recover-
able to dissolved.
Conversion factors are as follows:
Arsenic 1.000
Cadmium 0.850
Chromium (III) 0.316
Chromium (VI) 0.982
Copper 0.960
Lead 0.875
Mercury 0.850
Nickel 0.998
Selenium 0.922
Silver 0.850
Zinc 0.978
NR 105.05(5)(b)
(b) The translation of the WQC
D into the water quality criterion which accounts for site-specific conditions (WQC
TRAN) shall be performed as follows:
WQCTRAN = (Translator)(WQCD)
Where: Translator (unitless) = ((MP)(TSS) + MD)/MD
MP = Particle-bound concentration of the pollutant (ug/g) in receiving water.
MD = Dissolved concentration of the pollutant in receiving water (ug/L).
TSS = Total Suspended Solids (g/L) concentration in receiving water.
NR 105.05(5)(c)
(c) The procedures in pars.
(a) and
(b) may also be used for the conversion of secondary values from total recoverable to dissolved.
NR 105.05 History
History: Cr.
Register, February, 1989, No. 398, eff. 3-1-89; am. (1) (a) 1. to 5., (1) (b), (2) (a) to (f), (3) (a) and (f) to (L), r. and recr. (1) (a) 6., cr. (1) (a) 7. to 10., (4) and (5),
Register, August, 1997, No. 500, eff. 9-1-97;
CR 03-050: am. (3) (L) and (m)
Register February 2004 No. 578, eff. 3-1-04.
NR 105.06
NR 105.06 Chronic toxicity criteria and secondary chronic values for fish and aquatic life. NR 105.06(1)(1)
Minimum database for chronic criterion development. NR 105.06(1)(a)
(a) To derive a chronic toxicity criterion for aquatic life, the minimum information required shall be results of acceptable chronic toxicity tests with one or more species of freshwater animal in at least 8 different families provided that of the 8 species:
NR 105.06(1)(a)1.
1. At least one is a salmonid fish, in the family Salmonidae in the class Osteichthyes,
NR 105.06(1)(a)2.
2. At least one is a non-salmonid fish, from another family in the class Osteichthyes, preferably a commercially or recreationally important warmwater species,
NR 105.06(1)(a)3.
3. At least one is a planktonic crustacean (e.g., cladoceran, copepod),
NR 105.06(1)(a)4.
4. At least one is a benthic crustacean (e.g., ostracod, isopod, amphipod, crayfish),
NR 105.06(1)(a)5.
5. At least one is an insect (e.g., mayfly, dragonfly, damselfly, stonefly, caddisfly, mosquito, midge),
NR 105.06(1)(a)6.
6. At least one is a fish or amphibian from a family in the phylum Chordata not already represented in one of the other subdivisions,
NR 105.06(1)(a)7.
7. At least one is an organism from a family in a phylum other than Arthropoda or Chordata (e.g., Rotifera, Annelida, Mollusca), and
NR 105.06(1)(a)8.
8. At least one is an organism from a family in any order of insect or any other phylum not already represented in subds.
1. to
7. NR 105.06(1)(a)9.
9. If all 8 of the families in subds.
1. to
8. are represented, a chronic toxicity criterion may be developed for surface waters classified as cold water using information on all of those families. If a chronic toxicity criterion is developed for surface waters classified as cold water, chronic toxicity criteria may also be developed for any of the surface water classifications in s.
NR 102.04 (3) (b) to
(e) using the procedure in sub.
(2) or
(3) and data on families in subds.
1. to
8. which are representative of the aquatic life communities associated with those classifications. For each substance, in no case may the criterion for a lower quality fish and aquatic life subcategory as defined in s.
NR 102.04 be less than the criterion for a higher quality fish and aquatic life subcategory.
NR 105.06(1)(a)10.
10. For a substance, if all the families in subds.
1. to
8. are not represented, acute-chronic ratios as calculated in sub.
(5) may be used to generate the chronic toxicity values necessary to calculate a chronic toxicity criterion.
NR 105.06(1)(a)11.
11. For a substance, if all of the families in subds.
1. to
8. are not represented, a chronic toxicity criterion may not be developed for that substance except as provided in subd.
10. Instead, any available data may be used to develop a secondary acute value (SAV) for that substance according to sub.
(4).
NR 105.06(1)(b)
(b) The acceptability of chronic toxicity test results shall be judged according to the guidelines in section VI of the United States environmental protection agency's 1985 “Guidelines for Deriving National Numerical Water Quality Criteria for the Protection of Aquatic Organisms and Their Uses" or
40 CFR Part 132 Appendix A, sections VI and VII as stated on September 1, 1997, is incorporated by reference.
NR 105.06 Note
Note: Copies of
40 CFR Part 132, Appendix A, Sections VI and VII are available for inspection in the offices of the department of natural resources, secretary of state and the legislative reference bureau, Madison, WI or may be purchased from the superintendent of documents, US government printing office, Washington, D.C. 20402.
NR 105.06(2)
(2)
Calculation of a chronic concentration. A chronic concentration is obtained by calculating the geometric mean of the chronic lowest observable adverse effect level and the chronic no observable adverse effect level.
NR 105.06(3)
(3)
Chronic toxicity criteria for substances with toxicity unrelated to water quality parameters. If the chronic toxicity of a substance has not been adequately shown to be related to a water quality parameter, i.e., hardness, pH, temperature, etc., the chronic toxicity criterion (CTC) is calculated using the procedures specified in this subsection.
NR 105.06(3)(a)1.1. For each species for which at least one chronic value is available, the species mean chronic value (SMCV) is calculated as the geometric mean of all acceptable chronic toxicity tests using the guidelines in sub.
(1) (b).
NR 105.06(3)(a)2.
2. For each genus for which one or more SMCVs are available, the genus mean chronic value (GMCV) is calculated as the geometric mean of the SMCVs available for the genus.
NR 105.06(3)(c)
(c) Ranks (R) are assigned to the GMCVs from 1 for the lowest to N for the highest. If 2 or more GMCVs are identical, successive ranks are arbitrarily assigned.
NR 105.06(3)(d)
(d) The cumulative probability (P) is calculated for each GMCVs as P=R/(N + 1).
NR 105.06(3)(e)
(e) The 4 GMCVs are selected which have P closest to 0.05. If there are less than 59 GMCVs, these will always be the lowest GMCVs.
NR 105.06(3)(f)
(f) Using the selected GMCVs and Ps, the final chronic value (FCV) is calculated using the following:
NR 105.06(3)(f)1.
1. Let EV = sum of the 4 ln GMCVs,
EW = sum of the 4 squares of the ln GMCVs,
EP = sum of the 4 P values,
EPR = sum of the 4 square roots of P, and
JR = square root of 0.05.
NR 105.06(3)(g)
(g) If, for a commercially, recreationally or ecologically important species, the geometric mean of the chronic values is lower than the calculated FCV then that geometric mean is used as the FCV instead of the calculated one.
NR 105.06(3)(h)
(h) The chronic toxicity criterion (CTC) equals the lower of the FCV and the final plant value calculated using the procedure in s.
NR 105.11.
NR 105.06(3)(i)
(i) Table 3 contains the chronic toxicity criteria for the fish and aquatic life subcategories listed in s.
NR 102.04 (3) that are calculated using the procedures described in this subsection for substances meeting the database requirements indicated in sub.
(1).
NR 105.06(4)
(4)
Chronic toxicity criteria for substances with toxicity related to water quality parameters. NR 105.06(4)(a)
(a) If data are available on a substance to show that chronic toxicity to 2 or more species is similarly related to a water quality parameter (i.e., hardness, pH, temperature, etc.), the chronic toxicity criterion (CTC) is calculated using the procedures specified in this paragraph.
NR 105.06(4)(a)1.
1. For each species for which acceptable chronic toxicity tests using the guidelines in sub.
(1) (b) are available at 2 or more different values of the water quality parameter, a least squares regression of the chronic toxicity values on the corresponding values of the water quality parameter is performed to obtain the slope of the curve that best describes the relationship. Because the most commonly documented relationship is that between hardness and the chronic toxicity of metals and a log-log relationship fits these data, geometric means and natural logarithms of both toxicity and water quality are used in the rest of this subsection to illustrate this method. For relationships based on other water quality parameters, no transformation or a different transformation might fit the data better, and appropriate changes shall be made as necessary throughout this subsection.
NR 105.06(4)(a)2.
2. For each species, the geometric mean of the available chronic values (W) is calculated and then each of the chronic values is divided by the mean for that species. This normalizes the chronic values so that the geometric mean of the normalized values for each species individually and for any combination of species is 1.0.
NR 105.06(4)(a)3.
3. For each species, the geometric mean of the available corresponding water quality parameter values (X) is calculated and then each of the water quality parameter values is divided by the mean for that species. This normalizes the water quality parameter values so that the geometric mean of the normalized values for each species individually and for any combination of species is 1.0.
NR 105.06(4)(a)4.
4. A least squares regression of all the normalized chronic values on the corresponding normalized values of the water quality parameter is performed to obtain the pooled chronic slope (V). If the coefficient of determination, or r value, calculated from that regression is found not to be significant based on a standard F-test at a 0.05 level, then the pooled chronic slope shall be set equal to zero.
NR 105.06(4)(a)5.
5. For each species the logarithmic intercept (Y) is calculated using the equation: Y = ln W - V(ln X).
