CN113392510A - Zinc-protected aquatic organism toxicity value hardness correction and water quality reference derivation method - Google Patents

Zinc-protected aquatic organism toxicity value hardness correction and water quality reference derivation method Download PDF

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CN113392510A
CN113392510A CN202110586769.6A CN202110586769A CN113392510A CN 113392510 A CN113392510 A CN 113392510A CN 202110586769 A CN202110586769 A CN 202110586769A CN 113392510 A CN113392510 A CN 113392510A
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宋康
李露
何艳娇
谢发之
孙福红
李会仙
常红
苏海磊
赵晓丽
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Institute of Hydrobiology of CAS
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Abstract

The invention provides a method for correcting the toxicity value hardness of zinc-protected aquatic organisms and deducing a water quality standard, which comprises the following steps of: collecting and screening toxicity data, screening test species, correcting water hardness, importing the corrected toxicity data into China-WQC, performing model fitting by taking lgSMAV as a horizontal coordinate and accumulated probability as a vertical coordinate, and determining a coefficient r according to the model fitting2The root mean square RMSE, the residual sum of squares SSE and the K-S test result to determine an optimal fitting model to obtain 5% species hazard concentration HC5And selecting an evaluation factor of 2, determining a short-term reference value CMC of the freshwater aquatic organisms, and further deducing to obtain a long-term reference value CCC through the urgency-slowness ratio. The invention fully considers the influence of water hardness on heavy metal toxicity under regional characteristics in the derivation process, provides a regional aquatic organism water quality protection reference derivation method, and can more effectively perform local aquatic organismsProtection, avoiding "over-protection" and "under-protection".

Description

Zinc-protected aquatic organism toxicity value hardness correction and water quality reference derivation method
Technical Field
The invention relates to the field of water quality reference derivation and correction, and provides a method for correcting the toxicity value hardness of zinc-protected aquatic organisms and deriving a water quality reference.
Background
The formulation of the water quality standard provides scientific basis for the establishment of the water quality standard, and is one of the important means of water quality management at the present stage. With the development and the gradual increase of population of modern city processes and the over-development and the over-use of lakes, available water resources are increasingly in short supply, water environment is increasingly deteriorated, and the degree of seriously harming the survival of human society and destroying the sustainable development of society is achieved. Among water resource environmental pollution, heavy metal pollution is one of the most serious problems of water pollution in fresh water resources. The USEPA has proposed 120 preferred pollutants, and heavy metals account for a relatively significant share of 120 preferred pollutants. Since 2008, Chinese water quality benchmark research has made great progress, a series of water quality benchmark values of metals such as cadmium, zinc, copper and the like are successively provided, and with the increase of toxicological data and the further improvement of a benchmark derivation method, the research shows that water environment factors can affect the toxicity of heavy metals, particularly the hardness has a large effect on the toxicity of the heavy metals, and different water quality areas can also affect the establishment of the benchmark. Therefore, the toxic influence of water hardness on aquatic organisms in the area is fully considered when the water quality reference value is deduced, so that the water quality reference value of heavy metal which is suitable for the aquatic ecosystem of China is established.
Compared with the establishment of national scale water quality reference, how to fit the water hardness characteristics of the region and establish a local aquatic organism toxicity database is a difficult problem when the derivation and correction of the water quality reference is carried out on the heavy metal optimal control pollutants on the regional scale. The lack of local species toxicity data and the detection and investigation of regional water quality environment are problems to be solved for deducing regional heavy metal water quality reference values. At present, a mature method system exists for deducing national water quality standards at home and abroad, but the technology for establishing heavy metal water quality standard correction and deduction on a territorial scale is not mature enough, and the core problems mainly include the following points: (1) how to determine optimal control of heavy metal pollutants in the area; (2) how to solve the problem of the lack of local species toxicity data; (3) how to establish a water quality reference derivation process for heavy metal hardness correction. At present, in the aspect of water quality standard derivation, a perfect local species screening flow and derivation process exist, but how to derive the water quality standard of heavy metal on the basis of combining the regional water hardness is still a technical difficulty.
Disclosure of Invention
The invention aims to provide a water hardness correction method applied to water quality reference derivation aiming at the defect of correction of heavy metal toxicity values in the existing water quality reference derivation method, fully considering the characteristics of water ecosystem in China, performing difference adjustment according to different regions and different water body characteristics, combining literature research with on-site water quality environment monitoring, and providing a scientific basis for establishing water environment optimal control pollutant heavy metal water quality reference in regions in China.
In order to achieve the purpose, the invention provides the following technical scheme: a zinc protection aquatic organism toxicity value hardness correction and water quality reference derivation method comprises the following specific steps:
(1) collection and screening of toxicity data
The toxicity data collection is from toxicity databases at home and abroad, publicly published file reports and toxicity data obtained by carrying out heavy metal toxicity experiments on the local aquatic organisms, the data collection comprises acute toxicity data and chronic toxicity data, the collected data comprises an index of water quality parameter hardness, and the data accords with a data screening principle specified by a technical guideline formulated by a fresh water aquatic organism water quality standard in the screening process;
(2) species screening
Selecting local species in the region, and establishing a species screening principle specified by a technical guideline by combining with the water quality standard of the freshwater aquatic organism to carry out species screening;
(3) correction of water hardness
The water hardness correction comprises two steps of toxicity-water hardness slope fitting and water hardness correction toxicity value calculation, wherein a mixed slope and a toxicity value after water hardness correction are calculated respectively, normal distribution inspection is carried out on the corrected toxicity value, namely K-S inspection, if the corrected toxicity value does not accord with normal distribution, logarithmic conversion is needed to carry out re-inspection, the qualified toxicity value or the logarithm value thereof is sorted from small to large into R, the minimum is 1, the maximum is N, if two or more than two toxicity values are the same, the toxicity values are randomly arranged into any order, the number of the species under each R value is ensured to be 1, and the cumulative probability of the species is calculated through a formula P which is R/N + 1;
(4) determination of a reference
Fitting qualified toxicity value by using a species sensitivity distribution method, fitting a species model by using software China WQC, and determining a coefficient r according to the model fitting2The Root Mean Square (RMSE), the residual Sum of Squares (SSE) and the K-S test result to determine the optimal fitting model. Determining the acute/chronic 5% species hazard concentration HC according to the SSD curve fitted by the best fit model5And dividing the water quality standard value by the evaluation factor to obtain the water quality standard value of the freshwater aquatic organisms.
The toxicity data is collected and screened mainly by the following points:
h) rejecting toxicity data that does not contain hardness;
i) rejecting toxicity data of native species not in Taihu lake;
j) eliminating toxicity data with dissolved oxygen lower than 8mg/L and organic carbon content not meeting the requirement;
k) eliminating toxicity data without setting a control group or with overhigh mortality of the control group;
l) toxicity data obtained by a flow test are preferably adopted, semi-static data are adopted, and static toxicity data are adopted;
m) rejecting single cell animal test data;
n) when the difference of the toxicity data of the same species at the same end point is more than 10 times, rejecting the toxicity data;
h) the fish adopts 96h LC50/EC50For daphnia, LC for 24 hr50/EC50Plants and the like also adopt 96h LC50/EC50H is h, LC50At a semi-lethal concentration, EC50Half maximal effect concentration.
The species screening specifically requires the following:
h) contains at least one fish of Cyprinus family;
i) at least one non-cyprinid fish;
j) comprises another fish or amphibian other than a) and b);
k) containing a zooplankton;
l) containing a benthonic animal;
m) containing an aquatic plant;
n) comprises a phytoplankton.
The water hardness is corrected as follows:
the water hardness correction comprises two steps of toxicity-water hardness slope fitting and water hardness correction toxicity value calculation, and a fitting formula and a calculation formula are respectively given as follows:
c) the toxicity-water hardness slope fitting is shown in a formula (1) and a formula (2);
ln(ATV)＝KAln(HA)+CA (1)
ln(CTV)＝KCln(HC)+CC (2)
in the formula:
ATV-acute toxicity value before water hardness correction, LC is not distinguished during calculation50And EC50，μg/L；
CTV is a chronic toxicity value before water hardness correction, NOEC, LOEC, NOEL, LOEL and MATC are not distinguished during calculation, and the mu g/L is calculated;
KAacute toxicity-water hardness slope, dimensionless;
KCchronic toxicity-water hardness slope, dimensionless;
HAbefore correcting the water hardness, the ATV corresponds to the water hardness value in mg/L;
HCbefore correcting the water hardness, CTV corresponds to the water hardness value, mg/L;
CAacute toxicity constant, intercept, dimensionless;
CCchronic toxicity constant, intercept, dimensionless;
h-water hardness value (as CaCO)3Calculated), mg/L.
d) The calculation of the water hardness correction toxicity value is shown in a formula (3) and a formula (4)
Figure RE-GDA0003150943640000041
Figure RE-GDA0003150943640000042
ATVH-acute toxicity value, μ g/L, after water hardness correction;
CTVH-water hardness corrected chronic toxicity value,. mu.g/L.
Before the reference is determined, the derivation of a water quality reference is also included, specifically as follows:
calculating average acute/chronic value
According to the formulas (1) to (2), under the condition of the specified water hardness, calculating SMAV and SMCV in different species,
Figure RE-GDA0003150943640000051
Figure RE-GDA0003150943640000052
in the formula: SMAVH,iSpecies mean acute value, μ g, of species i under specified water hardness H/L；
SMCVH,i-specifying a species average chronic value, μ g/L, for species i under water hardness H;
ATVH-acute toxicity value, μ g/L, after water hardness correction;
CTVH-water hardness corrected chronic toxicity value, μ g/L;
m-ATV of species iHThe number of the cells is two;
n-CTV of species iHThe number of the cells is two;
i-a species, dimensionless;
h, water hardness value, mg/L;
distribution test of toxicity data
For SMAV under the specified water hardnessH,iAnd SMCVH,iRespectively carrying out normal distribution test, namely K-S test, if the normal distribution is not met, carrying out logarithmic transformation and then carrying out re-test, and carrying out species sensitivity distribution model fitting on data which are in accordance with the normal distribution according to the requirement of 'model fitting and evaluation', namely SSD model fitting;
calculating cumulative probability
The species SMAVH,i/SMCVH,iOr the logarithm values are respectively sorted from small to large, the toxicity rank R is determined, the rank of the minimum toxicity value is 1, the rank of the second order is 2, the sequence is arranged in sequence, if the toxicity values of two or more species are the same, the two or more species are randomly arranged into continuous ranks, the number of the species under each rank is 1, the cumulative probability P of the species is respectively calculated, and the P is R/(N +1),
model fitting and evaluation
SMAVH,i/SMCVH,iTaking the logarithm of base 10, and dividing lg (SMAV)H,i)/lg(SMC VH,i) As an argument in the model fitting, lg (SMAV)H,i)/lg(SMCVH,i) Corresponding P is a dependent variable, China-WQC is led in to carry out SSD model fitting, and the determining coefficient r of the model fitting is used2The results of the root mean square RMSE, the residual sum of squares SSE and the K-S test determine the best fit model, and the lognormal distribution model and the loglogistic distribution model require independent variablesIs a positive number.
Compared with the prior art, the invention has the beneficial effects that: according to the method, the toxicity of different hardness to the local aquatic organisms in the region is inspected, the acute toxicity data of the local aquatic organisms in the region is collected, and the regional water quality reference value of the aquatic organisms protected by the heavy metal optimal control pollutants is comprehensively deduced and obtained. The research result not only can support the Taihu lake ecological environment protection, but also can provide data and technical support for deducing the water quality reference value of the regional protection aquatic organisms in other regions in China. The water quality reference value deduced according to the method has more perfection and scientificity, and can effectively avoid the phenomena of over-protection and under-protection.
Drawings
FIG. 1 is a graph of acute toxicity versus water hardness.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The following examples are set forth to provide those of ordinary skill in the art with a more complete understanding of the present invention, and are not to be construed as limiting the invention in any way.
1. Collection and screening of toxicity data
After the toxicity data is collected, the data needs to be screened and removed, and the screening and removing principle is mainly based on the related documents of the United states EPA and the technical guidance of the quality standard of freshwater aquatic organisms issued by the China (HJ 831-2017). The method mainly comprises the following points:
1) rejecting toxicity data that does not contain hardness;
2) rejecting toxicity data of native species not in Taihu lake;
3) eliminating toxicity data with dissolved oxygen lower than 8mg/L and organic carbon content not meeting the requirement;
4) eliminating toxicity data without setting a control group or with overhigh mortality of the control group;
5) toxicity data obtained by a flow test are preferably adopted, semi-static toxicity data are obtained, and static toxicity data are obtained;
6) rejecting single cell animal test data;
7) rejecting the same species when the difference of the toxicity data of the same terminal point is more than 10 times;
8) the fish adopts 96h LC50/EC50For daphnia, LC for 24 hr50/EC50Plants and the like also adopt 96h LC50/EC50。
The toxicity data after being removed and screened meet the requirements of 'three-door eight-family', and the final toxicity data also meet at least three nutrition levels including primary producers, primary consumers and secondary consumers according to the regional characteristics of China, so that the method can be used for deducing the water quality standard.
2. Species screening
1) Contains at least one fish of Cyprinus family;
2) at least one non-cyprinid fish;
3) comprises another fish or amphibian other than 1) and 2);
4) containing a zooplankton;
5) comprises a benthic animal;
6) comprises an aquatic plant;
7) comprises a phytoplankton;
3. correction of water hardness
The water hardness correction comprises two steps of toxicity-water hardness slope fitting and water hardness correction toxicity value calculation, and a fitting formula and a calculation formula are respectively given as follows:
a) the toxicity-water hardness slope fitting is shown in a formula (1) and a formula (2);
ln(ATV)＝KAln(HA)+CA (1)
ln(CTV)＝KCln(HC)+CC (2)
in the formula:
ATV-correction of water hardnessPre-acute toxicity value, LC not distinguished in calculation50And EC50，μg/L；
CTV is a chronic toxicity value before water hardness correction, NOEC, LOEC, NOEL, LOEL and MATC are not distinguished during calculation, and the mu g/L is calculated;
KAacute toxicity-water hardness slope, dimensionless;
KCchronic toxicity-water hardness slope, dimensionless;
HAbefore correcting the water hardness, the ATV corresponds to the water hardness value in mg/L;
HCbefore correcting the water hardness, CTV corresponds to the water hardness value, mg/L;
CAacute toxicity constant, intercept, dimensionless;
CCchronic toxicity constant, intercept, dimensionless;
h-water hardness value (as CaCO)3Calculated), mg/L.
b) The calculation of the water hardness correction toxicity value is shown in a formula (3) and a formula (4)
Figure RE-GDA0003150943640000081
Figure RE-GDA0003150943640000082
ATVH-acute toxicity value, μ g/L, after water hardness correction;
CTVH-water hardness corrected chronic toxicity value,. mu.g/L.
Through literature search collection, screening and toxicology experiment supplement, 42 pieces of reliable toxicity data are obtained, and the water hardness value is set to be 150mg/L (calculated by calcium carbonate). Respectively taking e as a base to obtain logarithm of the screened Acute Toxicity Value (ATV) and hardness (H), and fitting the acute toxicity value of zinc and the water hardness slope according to a fitting formula (1) to obtain KAIs 0.427, the coefficient R is determined20.0768, linear significant correlation (P)<0.05). FittingA linear relationship between hardness and biotoxicity was obtained as: ln (atv) ═ 0.427ln (H)A)+2.439. Then, each toxicity data is corrected according to a water hardness correction formula (3) to obtain the acute toxicity data ATV when the water hardness value is 150mg/L1And calculating the species average acute toxicity value and the cumulative probability according to the formula (5), and arranging as shown in table 1:
TABLE 1 mean acute values and genus mean acute values of corrected zinc for Taihu lake aquatic species
Figure RE-GDA0003150943640000091
(4) Water quality benchmark derivation
Calculating average acute/chronic value
According to the formulas (5) to (6), under the condition of the specified water hardness, the SMAV and the SMCV are calculated in different species.
Figure RE-GDA0003150943640000101
Figure RE-GDA0003150943640000102
In the formula:
SMAVH,i-specifying the species mean acute value, μ g/L, of species i under water hardness H;
SMCVH,i-specifying a species average chronic value, μ g/L, for species i under water hardness H;
ATVH-acute toxicity value, μ g/L, after water hardness correction;
CTVH-water hardness corrected chronic toxicity value, μ g/L;
m-ATV of species iHThe number of the cells is two;
n-CTV of species iHThe number of the cells is two;
i-a species, dimensionless;
h-water hardness value (as CaCO)3Calculated), mg/L.
Distribution test of toxicity data
For SMAV under the specified water hardnessH,iAnd SMCVH,iAnd respectively carrying out normal distribution test (K-S test), and if the normal distribution is not met, carrying out logarithmic transformation and then carrying out retest. And fitting a Species Sensitivity Distribution (SSD) model according to the requirements of model fitting and evaluation on the data conforming to the normal distribution.
Calculating cumulative probability
The species SMAVH,i/SMCVH,iOr the logarithm values are respectively sorted from small to large, the toxicity rank R is determined (the rank of the minimum toxicity value is 1, the rank of the second is 2, the two are arranged in sequence, if the toxicity values of two or more species are the same, the two or more species are randomly arranged into continuous ranks, the number of the species under each rank is 1), and the cumulative probability P of the species is respectively calculated, wherein the P is R/(N + 1).
Model fitting and evaluation
SMAVH,i/SMCVH,iTaking the logarithm with e as base, and dividing lg (SMAV)H,i)/lg(SMC VH,i) As an argument in the model fitting, lg (SMAV)H,i)/lg(SMCVH,i) And corresponding P is a dependent variable, and China-WQC is introduced to perform SSD model fitting (including: normal distribution model, lognormal distribution model, logistic distribution model, logarithmic distribution model), and determination coefficient (r) according to model fitting2) Root Mean Square (RMSE), sum of squared residuals (SSE), and K-S test results, determine the best fit model. Lognormal and loglogistic distribution models require that the independent variable be positive.
And the normalized SMAV is brought into SPSS 26 software for normal test, and the K-S test result shows that the normalized SMAV accords with normal distribution and meets the fitting requirement of an SSD model. And substituting the SMAV value into the software China-WQC to obtain the fitting results of the five models. From Table 2, it can be seen that the results of Normal model fitting are optimal, with R20.9125 max, while RMSE 0.0814 and SSE 0.1391 are both smaller than the other four models, so the fitting results of the models are used as the basis for deriving the acute water quality benchmark for zinc conservation of aquatic organismsAccordingly. The results of the five model fits are shown in table 2 below:
table 2 zinc five model fitting results
Figure RE-GDA0003150943640000111
(5) Fiducial determination
According to the SSD curve fitted by the optimal fitting model, the acute 5% species hazard concentration HC of zinc is determined5201.32, and dividing by the evaluation factor 2 to obtain the water quality reference value 100.69 of the zinc freshwater aquatic organism.
Those skilled in the art should understand that the water quality monitoring in our country is lack and the local biological toxicity data is less extensive, and the above description is only a preferred embodiment of the present invention, and is not intended to limit the scope of the present invention; all equivalent changes and modifications made according to the present invention are covered by the claims of the present invention.
Although embodiments of the present invention have been shown and described, it will be appreciated by those skilled in the art that changes, modifications, substitutions and alterations can be made in these embodiments without departing from the principles and spirit of the invention, the scope of which is defined in the appended claims and their equivalents.

Claims (5)

1. A zinc-protected aquatic organism toxicity value hardness correction and water quality reference derivation method is characterized by comprising the following specific steps:
(1) collection and screening of toxicity data
The toxicity data collection is from toxicity databases at home and abroad, publicly published file reports and toxicity data obtained by carrying out heavy metal toxicity experiments on the local aquatic organisms, the data collection comprises acute toxicity data and chronic toxicity data, the collected data comprises an index of water quality parameter hardness, and the data accords with a data screening principle specified by a technical guideline formulated by a fresh water aquatic organism water quality standard in the screening process;
(2) species screening
Selecting local species in the region, and establishing a species screening principle specified by a technical guideline by combining with the water quality standard of the freshwater aquatic organism to carry out species screening;
(3) correction of water hardness
The water hardness correction comprises two steps of toxicity-water hardness slope fitting and water hardness correction toxicity value calculation, wherein a mixed slope and a toxicity value after water hardness correction are calculated respectively, normal distribution inspection is carried out on the corrected toxicity value, namely K-S inspection, if the corrected toxicity value does not accord with normal distribution, logarithmic conversion is needed to carry out re-inspection, the qualified toxicity value or the logarithm value thereof is sorted from small to large into R, the minimum is 1, the maximum is N, if two or more than two toxicity values are the same, the toxicity values are randomly arranged into any order, the number of the species under each R value is ensured to be 1, and the cumulative probability of the species is calculated through a formula P which is R/N + 1;
(4) determination of a reference
Fitting qualified toxicity value by using a species sensitivity distribution method, fitting a species model by using software China WQC, and determining a coefficient r according to the model fitting2The Root Mean Square (RMSE), the residual Sum of Squares (SSE) and the K-S test result to determine the optimal fitting model. Determining the acute/chronic 5% species hazard concentration HC according to the SSD curve fitted by the best fit model5And dividing the water quality standard value by an evaluation factor to obtain a short-term water quality standard value of the freshwater aquatic organisms, and further calculating the long-term water quality standard value through the speed ratio.
2. The method as claimed in claim 1, wherein the toxicity data is collected and screened by the following methods:
a) rejecting toxicity data that does not contain hardness;
b) rejecting toxicity data of native species not in Taihu lake;
c) eliminating toxicity data with dissolved oxygen lower than 8mg/L and organic carbon content not meeting the requirement;
d) eliminating toxicity data without setting a control group or with overhigh mortality of the control group;
e) toxicity data obtained by a flow test are preferably adopted, semi-static toxicity data are obtained, and static toxicity data are obtained;
f) rejecting single cell animal test data;
g) rejecting the same species when the difference of the toxicity data of the same terminal point is more than 10 times;
h) the fish adopts 96h LC50/EC50For daphnia, LC for 24 hr50/EC50Plants and the like also adopt 96h LC50/EC50H is h, LC50At a semi-lethal concentration, EC50Half maximal effect concentration.
3. The method as claimed in claim 1, wherein the species screening specifically requires the following steps:
a) contains at least one fish of Cyprinus family;
b) at least one non-cyprinid fish;
c) comprises another fish or amphibian other than a) and b);
d) containing a zooplankton;
e) comprises a benthic animal;
f) comprises an aquatic plant;
g) contains a phytoplankton.
4. The method of claim 1, wherein the water hardness correction is as follows:
the water hardness correction comprises two steps of toxicity-water hardness slope fitting and water hardness correction toxicity value calculation, and a fitting formula and a calculation formula are respectively given as follows:
a) the toxicity-water hardness slope fitting is shown in a formula (1) and a formula (2);
ln(ATV)＝KAln(HA)+CA (1)
ln(CTV)＝KCln(HC)+CC (2)
in the formula:
ATV-acute toxicity value before water hardness correction, LC is not distinguished during calculation50And EC50，μg/L；
CTV is a chronic toxicity value before water hardness correction, NOEC, LOEC, NOEL, LOEL and MATC are not distinguished during calculation, and the mu g/L is calculated;
KAacute toxicity-water hardness slope, dimensionless;
KCchronic toxicity-water hardness slope, dimensionless;
HAbefore correcting the water hardness, the ATV corresponds to the water hardness value in mg/L;
HCbefore correcting the water hardness, CTV corresponds to the water hardness value, mg/L;
CAacute toxicity constant, intercept, dimensionless;
CCchronic toxicity constant, intercept, dimensionless;
h-water hardness value (as CaCO)3Meter), mg/L;
b) the calculation of the water hardness correction toxicity value is shown in a formula (3) and a formula (4)
Figure RE-FDA0003150943630000031
Figure RE-FDA0003150943630000032
ATVH-acute toxicity value, μ g/L, after water hardness correction;
CTVH-water hardness corrected chronic toxicity value,. mu.g/L.
5. The method for correcting the toxicity value of the zinc-protecting aquatic organisms and deriving the water quality standard according to claim 1, wherein the step of deriving the water quality standard before determining the standard further comprises the following specific steps:
calculating average acute/chronic value
According to the formulas (1) to (2), under the condition of the specified water hardness, calculating SMAV and SMCV in different species,
Figure RE-FDA0003150943630000033
Figure RE-FDA0003150943630000041
in the formula: SMAVH,i-specifying the species mean acute value, μ g/L, of species i under water hardness H;
SMCVH,i-specifying a species average chronic value, μ g/L, for species i under water hardness H;
ATVH-acute toxicity value, μ g/L, after water hardness correction;
CTVH-water hardness corrected chronic toxicity value, μ g/L;
m-ATV of species iHThe number of the cells is two;
n-CTV of species iHThe number of the cells is two;
i-a species, dimensionless;
h, water hardness value, mg/L;
distribution test of toxicity data
For SMAV under the specified water hardnessH,iAnd SMCVH,iRespectively carrying out normal distribution test, namely K-S test, if the normal distribution is not met, carrying out logarithmic transformation and then carrying out re-test, and carrying out species sensitivity distribution model fitting on data which are in accordance with the normal distribution according to the requirement of 'model fitting and evaluation', namely SSD model fitting;
calculating cumulative probability
The species SMAVH,i/SMCVH,iOr ordering the log values from small to large, determining the toxicity order R, the order of the minimum toxicity value is 1, the order of the second is 2, arranging in sequence, and if the toxicity values of two or more species are the same, then ordering themArbitrarily arranged in successive ranks, the number of species under each rank being 1, the cumulative probability P of the species, P ═ R/(N +1), respectively, is calculated,
model fitting and evaluation
SMAVH,i/SMCVH,iTaking the logarithm of base 10, and dividing lg (SMAV)H,i)/lg(SMC VH,i) As an argument in the model fitting, lg (SMAV)H,i)/lg(SMCVH,i) Corresponding P is a dependent variable, China-WQC is led in to carry out SSD model fitting, and the determining coefficient r of the model fitting is used2The results of the root mean square RMSE, the residual sum of squares SSE and the K-S test determine the best fit model, and the lognormal distribution model and the loglogistic distribution model require that the independent variable is positive.
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