CN111523278A - Comprehensive evaluation method for simulation precision of water environment mathematical model - Google Patents

Comprehensive evaluation method for simulation precision of water environment mathematical model Download PDF

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CN111523278A
CN111523278A CN202010243002.9A CN202010243002A CN111523278A CN 111523278 A CN111523278 A CN 111523278A CN 202010243002 A CN202010243002 A CN 202010243002A CN 111523278 A CN111523278 A CN 111523278A
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李一平
程一鑫
朱雅
黄亚男
程月
于珊
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Hohai University HHU
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Abstract

The invention discloses a comprehensive evaluation method for simulation accuracy of a mathematical model of a water environment, which comprises the following steps: determining an evaluation index reflecting the simulation precision of the model; determining a model hydrodynamic simulation precision evaluation factor; determining a model water quality simulation precision evaluation factor; selecting model simulation precision evaluation point positions; acquiring measured values and analog values of hydrodynamic evaluation factors and water quality evaluation factors at each evaluation point; calculating the evaluation indexes of hydrodynamic evaluation factors and water quality evaluation factors at each evaluation point; calculating the average evaluation index of the model hydrodynamic simulation precision and the model water quality simulation precision; and carrying out comprehensive evaluation analysis on the simulation precision of the water environment mathematical model. The method comprehensively considers three evaluation indexes of relative error, decision coefficient and Nash efficiency coefficient, overcomes the defect of incompleteness in consideration in the traditional evaluation method, and objectively and scientifically evaluates the simulation precision of the water environment mathematical model, so that the evaluation result is more comprehensive and objective.

Description

Comprehensive evaluation method for simulation precision of water environment mathematical model
Technical Field
The invention relates to a comprehensive evaluation method for simulation precision of a mathematical model of a water environment, belonging to the technical field of model simulation.
Background
With the rapid development of national economy and the rapid increase of natural resource requirements of various industries, the water environment problem is increasingly prominent, and the research on the problems of water environment monitoring, water environment simulation, water environment management and restoration and the like is enhanced in many countries and regions. The water environment model has the advantages of low investment, short operation period, high efficiency, flexibility and the like, and plays an important role in the research of water environment problems.
The water environment model is classified according to the research object and can be divided into a surface water environment model, a groundwater environment model and the like. The surface water environment quality model can simulate and predict movement laws of water flow, water quality, silt and the like, and provides technical support for environment management decision. The surface water environment quality model is an indispensable tool for identifying the surface water environment problem and researching the evolution rule of pollutants in the surface water environment, and is an important basis for environment management decision.
The current water environment model becomes an important tool in quantitative management of the water environment, and complex mechanism models such as EFDC, WASP, MIKE and the like are widely applied to various water bodies. In order to enable the mechanism model to embody the migration and transformation process of pollutants in the water body in more detail, the requirement on the simulation precision of the model is higher and higher, and therefore, the establishment of the water environment model simulation precision evaluation system is of great significance. At present, the analysis of the simulation precision evaluation of the water environment mathematical model lacks a uniform evaluation index system, and most of the analysis is judged by only one simple index.
Disclosure of Invention
The invention aims to provide a comprehensive evaluation method for the simulation precision of a mathematical model of a water environment, which aims to overcome the defects that the traditional evaluation method for the simulation precision of the water environment model in the prior art is not comprehensive in consideration and is mostly judged by only one simple index.
In order to achieve the purpose, the invention adopts the following technical scheme:
a comprehensive evaluation method for simulation accuracy of a water environment mathematical model comprises the following steps:
determining an evaluation index reflecting the simulation precision of the model;
determining a hydrodynamic evaluation factor for evaluating the hydrodynamic simulation precision of the model;
determining a water quality evaluation factor for evaluating the model water quality simulation precision;
selecting model simulation precision evaluation point positions;
setting simulation duration, and acquiring measured values and simulation values of hydrodynamic evaluation factors and water quality evaluation factors at each evaluation point by using the same time frequency;
calculating the evaluation indexes of the hydrodynamic evaluation factors on each evaluation point according to the obtained actual measurement values and analog values of the hydrodynamic evaluation factors on each evaluation point;
calculating the evaluation indexes of the water quality evaluation factors at each evaluation point according to the obtained actual measurement values and analog values of the water quality evaluation factors at each evaluation point;
calculating an average evaluation index of model hydrodynamic simulation precision according to the calculated evaluation indexes of hydrodynamic evaluation factors on each evaluation point;
calculating an average evaluation index of the model water quality simulation precision according to the calculated evaluation indexes of the water quality evaluation factors at each evaluation point;
and carrying out comprehensive evaluation analysis on the simulation precision of the water environment mathematical model according to the calculated average evaluation indexes of the model hydrodynamic simulation precision and the model water quality simulation precision.
Further, the evaluation index includes: relative error, decision coefficient, nash efficiency coefficient.
Further, the evaluation index of the hydrodynamic evaluation factor at each evaluation point is calculated by the following formula:
Figure BDA0002433176510000031
Figure BDA0002433176510000032
Figure BDA0002433176510000033
in the formula (1), i is a hydrodynamic evaluation factor, REiFor hydrodynamic evaluation factor relative error, MiaSimulating an average value for the hydrodynamic evaluation factor, SiaThe measured average value of the hydrodynamic evaluation factor is obtained; in the formula (2), Ri 2Determining coefficients for hydrodynamic evaluation factors, MijIs a j time analog value of hydrodynamic evaluation factor, SijThe j time measured value of the hydrodynamic evaluation factor is n, and the n is the simulation duration; in the formula (3), NSEiThe factor nash efficiency coefficient is evaluated for hydrodynamic force.
Further, the evaluation index of the water quality evaluation factor at each evaluation point is calculated by the following formula:
Figure BDA0002433176510000034
Figure BDA0002433176510000035
Figure BDA0002433176510000036
in the formula (1'), g is a water quality evaluation factor, REgRelative error of water quality evaluation factor, MgaThe water quality evaluation factor is a simulated mean value, SgaThe water quality evaluation factor is an actually measured average value; in the formula (2'), Rg 2Determining a coefficient for a water quality evaluation factor, MgjIs the j time analog value of the water quality evaluation factor, SgjThe j time measured value of the water quality evaluation factor is n is the simulation duration; in the formula (3'), NSEgEvaluation of factor Nash efficiency for Water qualityAnd (4) the coefficient.
Further, the average evaluation index of the model hydrodynamic simulation precision is calculated by the following formula:
Figure BDA0002433176510000041
Figure BDA0002433176510000042
Figure BDA0002433176510000043
Figure BDA0002433176510000044
Figure BDA0002433176510000045
Figure BDA0002433176510000046
in the formula (4), i is a hydrodynamic evaluation factor, k is an evaluation point, m is the number of evaluation points, and REikFor evaluating the relative error of hydrodynamic evaluation factor i at point k, REiaThe average relative error of the hydrodynamic evaluation factor i is obtained; in the formula (5), Rik 2Is a determination coefficient of a hydrodynamic evaluation factor i on an evaluation point k, Ria 2An average determination coefficient of the hydrodynamic evaluation factor i; in the formula (6), NSEikFor evaluating the Nash efficiency coefficient, NSE, of hydrodynamic evaluation factor i at point kiaThe average Nash efficiency coefficient of the hydrodynamic evaluation factor i; in formula (7), REaThe average relative error is simulated by hydrodynamic force, and h is the number of hydrodynamic force evaluation factors; in the formula (8), Ra 2Determining a coefficient for the hydrodynamic simulation average; in the formula (9), NSEaThe mean nash efficiency coefficient was simulated for hydrodynamic force.
Further, the average evaluation index of the model water quality simulation precision is calculated by the following formula:
Figure BDA0002433176510000051
Figure BDA0002433176510000052
Figure BDA0002433176510000053
Figure BDA0002433176510000054
Figure BDA0002433176510000055
Figure BDA0002433176510000056
in the formula (4'), g is a water quality evaluation factor, k is an evaluation point, m is the number of evaluation points, REgkFor the relative error of the water quality evaluation factor g at evaluation point k, REgaThe average relative error of the water quality evaluation factor g is obtained; in the formula (5'), Rgk 2Is a determination coefficient of a water quality evaluation factor g on an evaluation point k, Rga 2An average determination coefficient of the water quality evaluation factor g; in the formula (6'), NSEgkFor evaluation of the Nash efficiency coefficient, NSE, of the water quality evaluation factor g at point kgaAn average Nash efficiency coefficient which is a water quality evaluation factor g; in formula (7'), REaThe' is the water quality simulation average relative error, and z is the number of water quality evaluation factors; in the formula (8'), Ra’2Determining a coefficient for the water quality simulation average; in the formula (9'), NSEa' is the water quality simulation average Nash efficiency coefficient.
Further, the hydrodynamic evaluation factors include flow rate and water level.
Further, the water quality evaluation factor comprises at least one of ammonia nitrogen, COD and total phosphorus.
Compared with the prior art, the invention has the following advantages:
the invention establishes a set of brand-new comprehensive evaluation method for the simulation precision of the water environment mathematical model, comprehensively considers three evaluation indexes of relative error, decision coefficient and Nash efficiency coefficient, overcomes the defect of incompleteness in the traditional evaluation method, objectively and scientifically evaluates the simulation precision of the water environment mathematical model, and enables the evaluation result to be more comprehensive and objective.
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Fig. 1 is a schematic flow chart of a comprehensive evaluation method for simulation accuracy of a mathematical model of a water environment according to an embodiment of the invention.
Detailed Description
The invention is further described with reference to specific examples. The following examples are only for illustrating the technical solutions of the present invention more clearly, and the protection scope of the present invention is not limited thereby.
As shown in fig. 1, a comprehensive evaluation method for simulation accuracy of a mathematical model of a water environment comprises the following steps:
s1, determining an evaluation index reflecting model simulation precision: relative error, decision coefficient, nash efficiency coefficient;
s2, determining a model hydrodynamic simulation precision evaluation factor (hydrodynamic evaluation factor);
s3, determining a model water quality simulation precision evaluation factor (water quality evaluation factor);
s4, selecting model simulation precision evaluation points;
s5, basic data preparation: setting simulation duration, and acquiring measured values and simulation values of hydrodynamic evaluation factors and water quality evaluation factors at each evaluation point by using the same time frequency;
and S6, establishing a water environment mathematical model simulation precision evaluation system.
Wherein, step S6 specifically includes the following steps:
A1. calculating the relative error, the decision coefficient and the Nash efficiency coefficient of the hydrodynamic evaluation factor on each evaluation point according to the obtained measured value and the analog value of the hydrodynamic evaluation factor on each evaluation point;
A2. calculating the relative error, the decision coefficient and the Nash efficiency coefficient of the water quality evaluation factor at each evaluation point according to the obtained measured value and the analog value of the water quality evaluation factor at each evaluation point;
A3. calculating the average relative error, the decision coefficient and the Nash efficiency coefficient of the model hydrodynamic simulation precision according to the calculated relative error, the decision coefficient and the Nash efficiency coefficient of the hydrodynamic evaluation factors at each evaluation point;
A4. calculating the average relative error, the decision coefficient and the Nash efficiency coefficient of the model water quality simulation precision according to the calculated relative error, the decision coefficient and the Nash efficiency coefficient of the water quality evaluation factors at each evaluation point;
A5. and carrying out comprehensive evaluation analysis on the simulation precision of the water environment mathematical model according to the calculated average relative error, decision coefficient and Nash efficiency coefficient of the model hydrodynamic simulation precision and the model water quality simulation precision.
The following explains the specific implementation steps of the embodiment of the invention by taking a simulation result A of a mathematical model of a certain water environment as an example:
s1, determining an evaluation index reflecting model simulation precision
In this embodiment, the evaluation index includes a relative error, a determination coefficient, and a nash efficiency coefficient.
S2, determining evaluation factors of hydrodynamic simulation precision of model
In this embodiment, the evaluation factors of the model hydrodynamic simulation precision include flow rate and water level.
S3, determining model water quality simulation precision evaluation factor
The water quality simulation precision evaluation factor is determined according to the actually measured water quality data and the boundary condition of the model water quality, the evaluation factor which is contained in the boundary of the model water quality and has the actually measured data is selected, the common evaluation factors comprise ammonia nitrogen, COD (chemical oxygen demand), total phosphorus and the like, and the selection number of the evaluation factors is at least one. In this example, the number of the selected model water quality simulation precision evaluation factors is 2, and the factors are ammonia nitrogen and COD respectively.
S4, selecting model simulation precision evaluation point positions
The evaluation point positions are determined according to actual conditions, the point positions with the model hydrodynamic simulation precision evaluation factor actual measurement data and the model water quality simulation precision evaluation factor actual measurement data are selected, and the number of the selected evaluation point positions is at least one. In this embodiment, the number of the model simulation accuracy evaluation point locations is 3, which are point location 1, point location 2, and point location 3.
S5, basic data preparation
The basic data comprises simulation duration, actual measurement values of hydrodynamic evaluation factors and water quality evaluation factors at the evaluation point, simulation values and the like, the output frequency of the analog values of the hydrodynamic evaluation factors and the water quality evaluation factors at the evaluation point needs to be determined according to the monitoring frequency of the actual measurement values and the model precision requirement, and the general output frequency is one minute of data. In this embodiment, the simulation time is 8 hours (480 minutes), the output frequency of the simulation value is one minute of data, which is 480 data, and the actual measured values and the simulation value data of the hydrodynamic evaluation factor and the water quality evaluation factor at each evaluation point are shown in tables 1 and 2.
TABLE 1
Figure BDA0002433176510000081
Figure BDA0002433176510000091
TABLE 2
Figure BDA0002433176510000092
Figure BDA0002433176510000101
S6, establishing a water environment mathematical model simulation precision evaluation system
A1. Calculating the relative error, the decision coefficient and the Nash efficiency coefficient of each point hydrodynamic evaluation factor by taking the selected model hydrodynamic simulation precision evaluation factor as an output target, wherein the calculation formula is as follows:
Figure BDA0002433176510000102
Figure BDA0002433176510000103
Figure BDA0002433176510000104
in the formula (1), i is a hydrodynamic evaluation factor; REiThe relative error of the hydrodynamic evaluation factor is obtained; miaSimulating an average value for the hydrodynamic evaluation factor; siaThe measured average value of the hydrodynamic evaluation factor is obtained; in the formula (2), Ri 2Determining coefficients for hydrodynamic evaluation factors; mijIs a hydrodynamic evaluation factor jth minute (second or hour) simulation value; sijThe hydrodynamic evaluation factor is a j minute (second or hour) measured value and is determined according to the output frequency of the simulation data; n is the simulation duration; in the formula (3), NSEiThe factor nash efficiency coefficient is evaluated for hydrodynamic force.
The calculation results are shown in Table 3.
TABLE 3
Figure BDA0002433176510000105
Figure BDA0002433176510000111
A2. Calculating the relative error, the decision coefficient and the Nash efficiency coefficient of each point water quality evaluation factor by taking the selected model water quality simulation precision evaluation factor as an output target, wherein the calculation formula is as follows:
Figure BDA0002433176510000112
Figure BDA0002433176510000113
Figure BDA0002433176510000114
in the formula (1'), g is a water quality evaluation factor; REgRelative error of water quality evaluation factors is obtained; mgaSimulating an average value for the water quality evaluation factor; sgaThe water quality evaluation factor is an actually measured average value; in the formula (2'), Rg 2Determining a coefficient for a water quality evaluation factor; mgjIs a simulation value of the water quality evaluation factor at the jth minute (second or hour); sgjThe j minute (second or hour) measured value of the water quality evaluation factor is determined according to the output frequency of the simulation data; n is the simulation duration; in the formula (3'), NSEgThe water quality evaluation factor was the Nash efficiency coefficient.
The results of the calculations are shown in Table 4.
TABLE 4
Figure BDA0002433176510000115
Figure BDA0002433176510000121
A3. Calculating the average relative error, the average decision coefficient and the average Nash efficiency coefficient of the model hydrodynamic simulation precision, wherein the calculation formula is as follows:
Figure BDA0002433176510000122
Figure BDA0002433176510000123
Figure BDA0002433176510000124
Figure BDA0002433176510000125
Figure BDA0002433176510000126
Figure BDA0002433176510000127
in the formula (4), i is a hydrodynamic evaluation factor; k is an evaluation point position; m is the number of evaluation point positions; REikThe relative error of the hydrodynamic evaluation factor i on the evaluation point k is obtained; REiaThe average relative error of the hydrodynamic evaluation factor i is obtained; in the formula (5), Rik 2Determining coefficients of hydrodynamic evaluation factors i on the evaluation point k; ria 2An average determination coefficient of the hydrodynamic evaluation factor i; in the formula (6), NSEikThe coefficient of Nash efficiency of the hydrodynamic evaluation factor i on the evaluation point k is obtained; NSEiaThe average Nash efficiency coefficient of the hydrodynamic evaluation factor i; in formula (7), REaSimulating an average relative error for the hydrodynamic force; h is the number of hydrodynamic evaluation factors; in the formula (8), Ra 2Determining a coefficient for the hydrodynamic simulation average; in the formula (9), NSEaThe mean nash efficiency coefficient was simulated for hydrodynamic force.
The results of the calculations are shown in Table 5.
A4. Calculating the average relative error, the average decision coefficient and the average Nash efficiency coefficient of the model water quality simulation precision, wherein the calculation formula is as follows:
Figure BDA0002433176510000128
Figure BDA0002433176510000131
Figure BDA0002433176510000132
Figure BDA0002433176510000133
Figure BDA0002433176510000134
Figure BDA0002433176510000135
in the formula (4'), g is a water quality evaluation factor; k is an evaluation point position; m is the number of evaluation point positions; REgkThe relative error of the water quality evaluation factor g on the evaluation point k is obtained; REgaThe average relative error of the water quality evaluation factor g is obtained; in the formula (5'), Rgk 2Determining coefficient of water quality evaluation factor g at evaluation point k; rga 2An average determination coefficient of the water quality evaluation factor g; in the formula (6'), NSEgkThe Nash efficiency coefficient of the water quality evaluation factor g at the evaluation point k; NSEgaAn average Nash efficiency coefficient which is a water quality evaluation factor g; in formula (7'), REa' is the average relative error of water quality simulation; z is the number of water quality evaluation factors; in the formula (8'), Ra’2Determining a coefficient for the water quality simulation average; in the formula (9'), NSEa' is the water quality simulation average Nash efficiency coefficient.
The results of the calculations are shown in Table 5.
TABLE 5
Figure BDA0002433176510000136
A5. And carrying out comprehensive evaluation analysis on the simulation precision of the water environment mathematical model according to the calculation results of the average relative error, the average decision coefficient and the average Nash efficiency coefficient of the model hydrodynamic simulation and the water quality simulation.
According to the calculation results of the average relative error, the average decision coefficient and the average Nash efficiency coefficient of the model hydrodynamic simulation and the water quality simulation in the steps A3 and A4, the following results are obtained: the average relative error of the model hydrodynamic simulation precision is 18.2 percent, within 20 percent, the average decision coefficient is 0.49 and less than 0.6, the average Nash efficiency coefficient is 0.349 and less than 0.6, and the average decision coefficient and the average Nash efficiency coefficient do not meet the requirement, so the model hydrodynamic simulation does not meet the precision requirement; the average relative error of the model water quality simulation precision is 1.15 percent, within 20 percent, the average decision coefficient is 0.75 and is more than 0.6, the average Nash efficiency coefficient is 0.771 and is more than 0.6, and the average relative error, the average decision coefficient and the average Nash efficiency coefficient all meet the requirements, so the model water quality simulation meets the precision requirement.
The present invention has been disclosed in terms of the preferred embodiment, but is not intended to be limited to the embodiment, and all technical solutions obtained by substituting or converting equivalents thereof fall within the scope of the present invention.

Claims (8)

1. A comprehensive evaluation method for simulation accuracy of a water environment mathematical model is characterized by comprising the following steps:
determining an evaluation index reflecting the simulation precision of the model;
determining a hydrodynamic evaluation factor for evaluating the hydrodynamic simulation precision of the model;
determining a water quality evaluation factor for evaluating the model water quality simulation precision;
selecting model simulation precision evaluation point positions;
setting simulation duration, and acquiring measured values and simulation values of hydrodynamic evaluation factors and water quality evaluation factors at each evaluation point by using the same time frequency;
calculating the evaluation indexes of the hydrodynamic evaluation factors on each evaluation point according to the obtained actual measurement values and analog values of the hydrodynamic evaluation factors on each evaluation point;
calculating the evaluation indexes of the water quality evaluation factors at each evaluation point according to the obtained actual measurement values and analog values of the water quality evaluation factors at each evaluation point;
calculating an average evaluation index of model hydrodynamic simulation precision according to the calculated evaluation indexes of hydrodynamic evaluation factors on each evaluation point;
calculating an average evaluation index of the model water quality simulation precision according to the calculated evaluation indexes of the water quality evaluation factors at each evaluation point;
and carrying out comprehensive evaluation analysis on the simulation precision of the water environment mathematical model according to the calculated average evaluation indexes of the model hydrodynamic simulation precision and the model water quality simulation precision.
2. The comprehensive evaluation method for the simulation precision of the mathematical model of the water environment according to claim 1, wherein the evaluation indexes comprise: relative error, decision coefficient, nash efficiency coefficient.
3. The comprehensive evaluation method for the simulation accuracy of the mathematical model of the water environment according to claim 2, wherein the evaluation indexes of the hydrodynamic evaluation factors at each evaluation point are calculated by the following formula:
Figure FDA0002433176500000021
Figure FDA0002433176500000026
Figure FDA0002433176500000022
in the formula (1), i is a hydrodynamic evaluation factor, REiFor hydrodynamic evaluation factor relative error, MiaSimulating an average value for the hydrodynamic evaluation factor, SiaThe measured average value of the hydrodynamic evaluation factor is obtained; in the formula (2), Ri 2Determining coefficients for hydrodynamic evaluation factors, MijIs a j time analog value of hydrodynamic evaluation factor, SijThe j time measured value of the hydrodynamic evaluation factor is n, and the n is the simulation duration; in the formula (3), NSEiThe factor nash efficiency coefficient is evaluated for hydrodynamic force.
4. The comprehensive evaluation method for the simulation precision of the mathematical model of the water environment according to claim 2, wherein the evaluation indexes of the water quality evaluation factors at each evaluation point are calculated by the following formula:
Figure FDA0002433176500000023
Figure FDA0002433176500000024
Figure FDA0002433176500000025
in the formula (1'), g is a water quality evaluation factor, REgRelative error of water quality evaluation factor, MgaThe water quality evaluation factor is a simulated mean value, SgaThe water quality evaluation factor is an actually measured average value; in the formula (2'), Rg 2Determining a coefficient for a water quality evaluation factor, MgjIs the j time analog value of the water quality evaluation factor, SgjThe j time measured value of the water quality evaluation factor is n is the simulation duration; in the formula (3'), NSEgThe water quality evaluation factor was the Nash efficiency coefficient.
5. The comprehensive evaluation method for the simulation precision of the mathematical model of the water environment according to claim 3, wherein the average evaluation index of the hydrodynamic simulation precision of the model is calculated by the following formula:
Figure FDA0002433176500000031
Figure FDA0002433176500000032
Figure FDA0002433176500000033
Figure FDA0002433176500000034
Figure FDA0002433176500000035
Figure FDA0002433176500000036
in the formula (4), i is a hydrodynamic evaluation factor, k is an evaluation point, m is the number of evaluation points, and REikFor evaluating the relative error of hydrodynamic evaluation factor i at point k, REiaThe average relative error of the hydrodynamic evaluation factor i is obtained; in the formula (5), Rik 2Is a determination coefficient of a hydrodynamic evaluation factor i on an evaluation point k, Ria 2An average determination coefficient of the hydrodynamic evaluation factor i; in the formula (6), NSEikFor evaluating the Nash efficiency coefficient, NSE, of hydrodynamic evaluation factor i at point kiaThe average Nash efficiency coefficient of the hydrodynamic evaluation factor i; in formula (7), REaThe average relative error is simulated by hydrodynamic force, and h is the number of hydrodynamic force evaluation factors; in the formula (8), Ra 2Determining a coefficient for the hydrodynamic simulation average; in the formula (9), NSEaThe mean nash efficiency coefficient was simulated for hydrodynamic force.
6. The comprehensive evaluation method for the simulation precision of the mathematical model of the water environment according to claim 4, wherein the average evaluation index of the simulation precision of the model water quality is calculated by the following formula:
Figure FDA0002433176500000041
Figure FDA0002433176500000042
Figure FDA0002433176500000043
Figure FDA0002433176500000044
Figure FDA0002433176500000045
Figure FDA0002433176500000046
in the formula (4'), g is a water quality evaluation factor, k is an evaluation point, m is the number of evaluation points, REgkFor the relative error of the water quality evaluation factor g at evaluation point k, REgaThe average relative error of the water quality evaluation factor g is obtained; in the formula (5'), Rgk 2Is a determination coefficient of a water quality evaluation factor g on an evaluation point k, Rga 2An average determination coefficient of the water quality evaluation factor g; in the formula (6'), NSEgkFor evaluation of the Nash efficiency coefficient, NSE, of the water quality evaluation factor g at point kgaAn average Nash efficiency coefficient which is a water quality evaluation factor g; in formula (7'), REaThe' is the water quality simulation average relative error, and z is the number of water quality evaluation factors; in the formula (8'), Ra’2Determining a coefficient for the water quality simulation average; in the formula (9'), NSEa' is the water quality simulation average Nash efficiency coefficient.
7. The comprehensive evaluation method for the simulation accuracy of the mathematical model of the water environment according to claim 1, wherein the hydrodynamic evaluation factors comprise flow and water level.
8. The comprehensive evaluation method for the simulation precision of the mathematical model of the water environment according to claim 1, wherein the water quality evaluation factor comprises at least one of ammonia nitrogen, COD and total phosphorus.
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Application publication date: 20200811