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Optimal Design of River Monitoring Network in Taizihe River by Matter Element Analysis

The objective of this study is to optimize the river monitoring network in Taizihe River, Northeast China. The situation of the network and water characteristics were studied in this work. During this study, water samples were collected once a month during January 2009 - December 2010 from seventeen sites. Futhermore, the 16 monitoring indexes were analyzed in the field and laboratory. The pH value of surface water sample was found to be in the range of 6.83 to 9.31, and the average concentrations of NH4 +-N, chemical oxygen demand (COD), volatile phenol and total phosphorus (TP) were found decreasing significantly. The water quality of the river has been improved from 2009 to 2010. Through the calculation of the data availability and the correlation between adjacent sections, it was found that the present monitoring network was inefficient as well as the optimization was indispensable. In order to improve the situation, the matter element analysis and gravity distance were applied in the optimization of river monitoring network, which were proved to be a useful method to optimize river quality monitoring network. The amount of monitoring sections were cut from 17 to 13 for the monitoring network was more cost-effective after being optimized. The results of this study could be used in developing effective management strategies to improve the environmental quality of Taizihe River. Also, the results show that the proposed model can be effectively used for the optimal design of monitoring networks in river systems.


Introduction
As an essential resource, water plays an increasingly important role in the development of economy and society. In order to protect water, the water quality monitoring, which describes the general state of water quality, started in the 1960s [1]. At that time, the monitoring network usually based on subjective criteria, and little attention was paid on the re-assessment and optimization of established monitoring network [2][3]. Since the 1970s, the studies on the water quality monitoring network had been paid more attention to [4]. The basic design criteria began to be studied in the 1980s [5], and Groot and Schilperoort (1984) discussed about the optimization [6]. Subsequently, a large number of theories and methods have been applied to the research and optimization of water quality monitoring, such as integer programming [7], multi-objective programming [8][9], entropy and generalized least-square methods [10], a methodology using geographical information system [11], fuzzy logic approach [12], etc. A series of efforts had been carried out since 1985 in China too, such as mean divagation [13], and similarity method [14]. But there is no universally accepted quantitative optimized method, especially the method on determination of the optimum section.
Taizihe River, located in the east of Northeast of China, is an important anabranch of Liaohe River. It provides water to Benxi, Liaoyang and Anshan for drinking, industrial and crop production. In order to strengthen the environmental protection, the monitoring network in Taizhihe River was set up in 1980s, but the re-assessment and optimization of water quality monitoring network of Taizihe River has not yet been realized. So a series of research to optimize the water quality monitoring network in Taizihe River is practically necessary to be conducted.
The aim of the present study is to develop a method to optimize the water quality monitoring network in order to support the environment monitoring of water quality management and to save the cost of monitoring on the basis of satisfying the objectives of tracking water quality distribution and variations. The matter element analysis and gravity distance have been used as an optimized model and the correlation between tributary monitoring section and adjacent mainstream monitoring section has been discussed. The model has been applied to Taizihe River in Northeast China, in order to improve the water quality monitoring sections for Taizihe River.

Description of the study area
Taizihe River, an important anabranch of Liaohe River, is located in the east of Northeast of China between approximately latitudes 40°29' N-41°39' N and longitudes 122°26' E-124°53' E [15]. The River drains an area of about 13,883 km 2 ; its main stream is 413 km long [16]. It runs through the cities of Benxi, Liaoyang and Anshan. It joins together with Hunhe River into Daliaohe River in Sanchakou and enters to the Bohai Sea at last in Yingkou of Liaoning province. The mean annual runoff of Taizihe River is 3.68 billion m 3 , and per capita water resources (750 m 3 ) are lower than per capita of the world [17].
Taizihe River flows through the central area of Liaoning Province which is industrial and agricultural production base. Benxi and Anshan are the famous iron and steel industry base in China. There are three large-scale iron and steel enterprise in Benxi City, Ansteel Group Corporation, Benxi Iron & Steel Group Co. Ltd. and Beitai Iron & Steel Group Co. per capita Ltd., which is one of the biggest iron and steel industries in China. It provides water to Benxi, Liaoyang and Anshan for drinking, industrial and crop production and the situation of water environment directly influences the local economy, so the water quality monitoring network of Taizihe River plays an essential rule in local economy.
The surface water quality monitoring network in Taizihe River is composed of 17 stations in total: 8 of them located in the mainstream and 9 in the tributary (Fig 1). The coordinates of sample sites ranged from 122°30' to 123°54' E and from 40°57' to 41°23' N. There were no specific permits required for the described field studies and no specific permissions required for these activities. And the field studies did not involve endangered or protected species.

Analytical methods
Water samples were collected once a month during January 2009 to December 2010 from seventeen sites, and the measurement of the monitoring indexes was performed in the field and laboratory. The monitoring indexes are shown in Table 1. Three samples at each station were collected from a depth of 1 foot below the surface of running water, using a 500 ml polythene or glass bottle. The samples were stored in an ice box and later refrigerated to 4°C before being analyzed in the laboratory [18][19][20] The portable equipments (HACH HQ40D) were used to measure dissolved oxygen (DO) and pH immediately on spot [19]. The ammonia (NH 4 + -N), TP and COD were assessed by Ken-ker325, Kenker323 and Kenker83212, respectively. Other water monitoring indexes were acquired in the laboratory using the recommended test methods [21]. Heavy metal contents (Cu, Zn, Cr, Hg, Pb and Cd) were determined with an atomic-absorption spectrophotometer Spectr AA 220 [20], and the standard stock solution of soluble salts was used for quantifying the samples [22]. A hydride generation AAS was used to determine arsenic (As) in water [23][24].
Differences of the obtained data between sampling sites were tested using analysis of variance (ANOVA), processed by the SPSS statistics software 15.0 for Windows. The results of all indices represent the average of the three samples for each site.

Present situation analysis of river monitoring network
There are some basic features in reasonable designed monitoring network, such as the higher data availability and the lower correlation between adjacent sections [25]. So the data availability and the correlation between adjacent sections were used to analyze the present situation of river monitoring network. Data availability of monitoring section. The data availability of monitoring section (a), as a measurable indicator of the situation of river monitoring network, was used to describe the ratio of monitoring data acquired in the monitoring practice and its standard was 90% [26][27]. It can be calculated as: where: P is the monitoring frequency in the monitoring practice; R is the monitoring frequency in the expected monitoring; S is the amount of monitoring indexes in the monitoring practice; and T is the amount of monitoring indexes in the expected monitoring.
Correlation between adjacent sections. The duplicate setting of monitoring section may overemphasize the importance of some monitoring indexes and affect the accuracy of monitoring network. The correlation between adjacent sections (r) was an important index to reflect the duplicate setting degree of monitoring sections [25][26]. It can be calculated as: where: r is the correlation between adjacent sections; n is the number of years when the monitoring data acquired; x i and y i are the mean value of one major pollutant between two adjacent sections; l xx and l yy are the sum of squares of mean deviation of x and y; and l xy is the deviation from mean of x and y. The value of r 0.05 and r 0.01 were read form the correlation coefficient table of critical values. If r r 0.05 , it meaned that no significant correlation was found between adjacent sections; if r 0.05 r r 0.01 , the correlation between adjacent sections was significant; otherwise, the correlation was very significant.

Matter element analysis
Matter element analysis, established by Cai in 1976, was a subject between mathematics and experimental science [28]. It has been applied in optimized sites of atmospheric monitoring by Zhu and Yu in 1998 [29] as well as in optimized points selection of water quality environmental monitoring by Gao in 1997 [30]. But the application of matter element analysis in optimized points selection has not yet been well developed.
The establishment of the matter element matrix. According to the detection value of all water monitoring indexes, the most ideal point (a), the least ideal point (b) and the mathematical expectation point (c) were obtained using the following method: the mathematical expectation point ðcÞ : where: x ij is the detection value of j th water monitoring indexes in the i th monitoring section; n is the number of monitoring sections; J is a set of positive index and J' was a set of reverse index.
Matter element matrix of standard (R ac and R cb ) and partial unit (R ab ) can be established on condition that the optimum and the worst points (a and b) are chosen [30]. The matter element matrix R ac comprises of variable ranges of water monitoring indexes of point a and point b. The matter element matrix R cb comprises of variable range of water monitoring indexes of point c and point b. And the matter element matrix R ab comprises of variable range of water monitoring indexes of point a and point b.
Taking the monitoring section as a preparative optimization unit, the detection value of monitoring section formed the matter element matrix of preparative optimization unit (R i ).
Determination of classification during sections. Based on matter element matrix of standard (R ac and R cb ) and partial unit (R ab ), the related function value (Ka(x i ) and K b (x i )) regarding standard substance element with the monitoring point were calculated using the following methods: where: Ka(x ij ) and Kb(x ij ) are the related function value of j th water monitoring indexes in the i th monitoring section; W j is the weighting coefficient of j th water monitoring indexes.
Assuming (Ka(x i ) and K b (x i )) as coordinate, the scatter diagram of monitoring sections are plotted. According to the distribution of monitoring sections in the scatter diagram, the classification of sections is determined.
Determination of the optimum section. After the classification of sections was determined, then center of gravity (G) of every classification was calculated.
where: G i is the center of gravity of the classification i; G ij is the detection value of j th water monitoring indexes of G i .
where: M is the amount of sections in the classification I; y ijk is the detection value of j th water monitoring indexes of monitoring sections K ( yik ) in the classification i. Euclidean distance (R ik ) between G i and monitoring sections K was calculated with the following formula: where: R ik is the Euclidean distance (R ik ) between Gi and K; N is the amount of monitoring indexes in every sections. The smaller R ik was, the more the representative of sections K to the classification i. So if the adjacent monitoring sections in mainstream were in the same classification, the section with smaller R ik should be retained and the one with bigger R ik should be removed. If the monitoring section in one tributary and the following adjacent monitoring section in mainstream were in the same classification, the monitoring section in tributary should be removed.

Statistical analysis
The experimental data were analyzed by SPSS 12.0 for Windows. Excel 2003 and Origin Pro 7.5 were used to plot the experimental data. The results of all indices represent the average of the three samples for each site.

Results and Discussions Water characteristics of Taizihe River
The mean, standard deviation and the range of variation for each monitoring indexe of Taizihe River were summarized in Table 1. In the majority of the sampled points, the physical parameters showed a low variability during the studied period. The pH value varied from 6.83 to 9.31, with a mean value of 7.93±0.42 in 2009, and it varied from 6.50 to 9.00, with a mean of 7.

Present situation of river monitoring network in Taizihe River
The data availability of monitoring section in Taizihe River was shown in Table 2. In 2009, only the data availabilities of four mainstream monitoring sections reached 90%. The data availability was better in 2010 than in 2009, and there were ten monitoring sections where the data availability reached 90%. The ratio of monitoring data acquired was lower than the expectation in some degree, so the monitoring sections should be optimized. The precipitation changed significantly among different periods and different areas in Liaoning Province. The precipitation ratio was 64.8% in summer, while it was only 2.75% in winter [33]. At the same time, the precipitation gradually diminished from southeast to northwest direction of Liaoning Province [34]. It was a reason of the lower data availabilities in Taizihe River. The correlation of NH 4 + -N between neighboring monitoring sections in main stream of Taizihe River was shown in Table 3. The correlations of NH 4 + -N were significant between four groups of adjacent sections, such as SWBX-XWJ, XWJ-XKZ, TMZ-LJT and LJT-XJM. And there were no significant correlations between three groups of adjacent section, such as LGLZ-XA, XA-SWBX and XKZ-TMZ. So There was duplicate setting between monitoring sections in main stream of Taizihe River, and the optimal design of monitoring network is thus necessary in Taizihe River.

Optimization of water quality monitoring networks by matter element analysis
Based on the water quality monitoring data from January 2009 to June 2010, the present water quality monitoring networks were optimized by matter element analysis in Taizihe River. According to matter element model, the most ideal point (a), the least ideal point (b) and the mathematical expectation point (c) in Taizihe River were obtained, and listed in Table 4. According to the formula 6-13, Ka(x i ) and K b (x i ) of the monitoring sections in Taizihe River were calculated. Then taking Ka(x i ) as the X coordinate and K b (x i ) as the Y coordinate, the scatter diagram of monitoring sections were plotted (Fig 2). The classification and the euclidean distance (R ik ) between the section and the center of gravity of its classification were shown in Table 5.
In classification Ⅰ, Ⅴ, Ⅵ and Ⅶ, there was only one monitoring section in every classification. So LGLZ, XA, XWJ and TMQ should be retained.
LGLZ, XA, XWJ were monitoring sections of mainstream and TMQ was a monitoring section of tributary. There were seven monitoring sections in classification Ⅱ. Five monitoring sections, SWBX, XJM, TMZ, XKZ and LTJ, were in mainstream and two monitoring sections, THQ and NZ, were in tributary. The R ik of NZ was the highest (17.199) and the R ik of XJM was the lowest (2.229) among the monitoring sections from upstream to downstream in classification Ⅱ. At the same time, XKZ, TMZ, LTJ and XJM were the adjacent monitoring sections in mainstream. So XJM was retained, and XKZ, TMZ and LTJ would be removed. XJM was the adjacent mainstream monitoring section of NZ (the tributary monitoring section), and the R ik of NZ was higher than XJM. So NZ was removed. BSH, LJTX, ML and QJ were in classification Ⅲ . The R ik of LJTX was the highest and the R ik of ML was the lowest. BSH, LJTX, ML and QJ were located in different tributary, so they would be retained. There were two sections, GJ and XTZ, in classification Ⅳ. The R ik of GJ and XTZ were the same, and they located in different tributaries. So GJ and XTZ were retained. The number of monitoring sections drops from 17 to 13 after using matter element analysis and gravity distance. There were five monitoring sections in mainstream, i.e. LGLZ, XA,

The verification on the result of water quality monitoring optimization
Based on the water quality monitoring data from July 2010 to December 2010, the difference between un-optimized monitoring networks and optimized monitoring networks were compared by F-test (variance test) and T-test (mean test). Significance level was 0.05, and the main pollutants (COD, NH 4 + -N and volatile phenol) were chosen as sample variable. The results of the test were shown in Table 6. The results of F-test on COD, NH 4 + -N and volatile phenol were homoscedastic and the results of T-test on the main pollutants have no significant differences. There were no significant differences between non-optimized monitoring networks and optimized monitoring networks. So the optimized monitoring networks by matter element analysis could correctly represent the original monitoring network. At the same time, it was highly-efficient and more economic.

Conclusions
This paper has provided data on river monitoring network of the Taizihe River, which located in the heavy industrial area in the northeast of China. It was found that the pH value varied from 6.83 to 9.31 and the average concentrations of NH 4 + -N, COD, volatile phenol and TP decreased significantly. NH 4 + -N, COD, volatile phenol and TP were the main pollutants in the  Optimal Design of River Monitoring Network surface water of Taizihe River. Through the calculation of the data availability and the correlation between adjacent sections, it was found that there was duplicate setting between monitoring sections of Taizihe River; and the optimal design of monitoring network was necessary. The application of the matter element analysis and gravity distance in Taizihe River confirmed that the matter element model and gravity distance is an efficient method to optimize river quality monitoring network. The number of monitoring sections cut from 17 to 13after the optimization by using matter element analysis and gravity distance. 23.52% of the cost of monitoring was saved and the monitoring network was more effective after being optimized. This information of this study could be used to develop effective management strategies to control and manage the river quality of Taizihe River. And it provided an effective method to optimize river quality monitoring network.