# An Evaluation of River Health for the Weihe River in Shaanxi Province, China

Authors: Jinxi Song; Dandong Cheng; Qi Li; Xingjun He; Yongqing Long; Bo Zhang
Journal: Advances in Meteorology
 (2015)

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## Abstract

Excessive socioeconomic activities in the Weihe River region have caused severe ecosystem degradation, and the call for the recovery and maintenance of the river health has drawn great attention. Based on the connotation of river health, previous research findings, and status quo of the Weihe River ecosystem, in this study, we developed a novel health evaluation index system to quantitatively determine the health of the Weihe River in Shaanxi Province. The river in the study area was divided into five reaches based on the five hydrological gauging stations, and appropriate evaluation indices for each river section were selected according to the ecological environmental functions of that section. A hybrid approach integrating analytic hierarchy process (AHP) and a fuzzy synthetic evaluation method was applied to measure the river health. The results show that Linjiancun-Weijiabao reach and Weijiabao-Xianyang reach are in the “moderate” level of health and Lintong-Huaxian reach and downstream of Huaxian reach are in the “poor” health rating, whereas Xianyang-Lintong reach is in the “sick” rating. Moreover, the most sensitive factors were determined, respectively, for each reach from upper stream to lower stream in the study area.


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## Body

## 1. Introduction

From an economic point of view, water resources are composite assets that provide a variety of goods and services for consumptive and productive activities of human being [1, 2]. Water is an essential resource for the existence of both human and other species on the earth [3]. In recent years, the concept of environmental flow (E-flow) has received increasing awareness; common understanding has come to recognize the importance of preserving some amount of water in a river to maintain the health of a river ecosystem [4–7].However, the problems of water scarcity and deteriorating water quality, due to rapid socioeconomic development [1, 8] and climate change [9], have become more serious around the world, resulting in an increase in water demand for socioeconomic sectors and reduction in E-flow [7]. The survey results of the United Nations Environment Programme (UNEP) on 25 rivers reveal that water quality of the major rivers in the world is poor and deteriorated, and water quantity in the rivers is decreasing [10]. It is estimated that, in 2025, 5 billion out of the world’s 7.9 billion people will be living in areas where it will be difficult or even impossible to meet basic water demand for drinking, cooking, and sanitation [3, 11].Catchment and riparian degradation has caused declining ecosystem health of streams worldwide [12]. Many studies on river health evaluation have been conducted in order to prevent river ecosystem from further deterioration [13–18]. For example, the declines and improvements in river health related to land use have been studied by using macroinvertebrates sampled from sites along a dry-land river in northwestern Zimbabwe to assess biotic responses to land use changes along the course of the river [19]. Water quality index, biotic index, and physical habitat quality index have been used to assess river health conditions using 25 sampling sites in the Liao River in China [20]. Biological monitoring, using coliform bacteria and macroinvertebrate populations and diversity, was carried out monthly to determine the ecological health of the Usuthu and Mbuluzi rivers in Swaziland [21]. Sheldon et al. [12] identified the spatial scale of land use that most strongly influenced overall river ecosystem health score in Southeast Queensland, Australia, in which the five component indicators (fish, macroinvertebrates, water quality, nutrients, and ecosystem processes) make up the score. Pinto et al. [22] used six water quality parameters, namely, temperature, chlorophyll-a, dissolved oxygen, oxides of nitrogen, suspended solids, and reactive silicates at weekly intervals along the Hawkesbury-Nepean River (HNR) system in South-Eastern Australia to evaluate the human and natural influences on the river system health in a periurban landscape.China possesses total water resources of 2812.4 billion m3 ranking the 6th in the world, while its per capita water resource only accounts for a quarter of world average in terms of per capita water resources [1, 3]. The rapid development results in increasing water requirements and overwhelming amounts of waste discharge, which degrades the water ecosystem. The Weihe River in China is the largest tributary of the Yellow River and plays an important role in developing West China and the maintenance of ecosystem health of the Yellow River [23]. Since the late 1990s, many parts of the river have lost ecosystem functionality and such problems have disturbed the sustainable development of the region [23], which has become a widespread concern in China [24]. Many researchers have conducted studies on ecological environment of the river with significant results [25–27]. For the Weihe River, Shi [28] established healthy controlling indicator system of the Weihe River based on the riverbed, aquatic environment, and socioeconomic functions of the river, while this system lacks specific evaluation and analysis of the results. Feng [29] established the evaluation index system applied to assess the Weihe River health based on the status of environmental issues of the river. However, this evaluation only focuses on flood control and river sediment transport capacity. More recently, Wei et al. [7] developed a complex system dynamics model (SD) to assess socioeconomic impacts of different levels of E-flow allocation in the Weihe River Basin of China, which aims to find an optimal growth pattern considering both socioeconomic growth and E-flow requirements. Li et al. [24] determined the changes in major factors of stream flow, water quality, channel morphology, and riparian vegetation affecting its ecosystem health of the Weihe River. Wu et al. [30] assessed the ecological health of the Weihe River using an index of water and habitat quality (IWHQ) based on environmental variables and habitat quality (QHEI). The study proposed a strategy for sustainable development at a river basin scale, in which water resources should be allocated efficiently, equally, and fairly for socioeconomic development and a healthy river system. However, this study does not analyze and evaluate the current ecosystem health situations of the Weihe River.This study developed an evaluation index system for the health of the Weihe River in Shaanxi Province, where the Weihe River (Shaanxi section) was divided into five sections based on water function zoning method and then the river health was evaluated section by section. This study improves the indicator evaluation system for river health; the methods and results concerned will provide theoretic and practical support for river health assessment, river development, utilization, and management, and river ecological restoration of the Weihe River.


## 2. Study Area Description

The Weihe River, originating from north of Niaoshu Mountain with an altitude of 3485 m above sea level, is the largest tributary of the Yellow River. It runs across 818 km through the provinces of Gansu and Shaanxi and joins the Yellow River from the right bank in the city of Tongguan, from where the Yellow River turns to the east (Figure1). The drainage area, annual flow flux, and annual sediment discharge of the Weihe River account for 17.9%, 16.5%, and 2.5% of the total amount of the Yellow River Basin, respectively. The channel length in the confluence area is about 13.1 km [31].Figure 1
Study area showing hydrological gauging stations.The Weihe River flows across about 502.4 km with a drainage area of 67,100 km2 in Shaanxi Province where the well-known Guanzhong Plain in Northwest China is located. The river basin plays a great role in social, ecological, and economical development of Shaanxi Province (Figure 1). About 64% of the population, 56% of the farmland, 72% of the irrigation area, and 82% of gross industrial output value of Shaanxi Province are distributed in this area. And about 81% of gross domestic product (GDP) of the Shaanxi Province derived from the Weihe River Basin [32]. Xi’an, the capital of Shaanxi Province, is one of the birthplaces of the ancient Chinese civilization in the Yellow River Basin and the starting point of Silk Road. The total population of the municipality is up to 8.5 million. Known as the leading city of China’s Western Development Drive Program since 1990s, Xi’an is an important economic, cultural, industrial, and educational center in central-northwest region [33].The most important topographic feature of the Weihe River Basin is the Loess Plateau in the north, which is the main source of sediments in the river [34, 35]. The Jinghe River, the Beiluo River, and the Shichuan River flow into the Weihe River from the Loess Plateau with hyperconcentrated sediments. The topographic feature for the southern part of the Weihe River Basin is the Qinling Mountains, and the precipitation there is the main water supply resource for the river flow. Tributaries of the river from the Qinling Mountains are with less sediment [36].The climate of the Weihe River Basin in Shaanxi Province is continental, warm, and semihumid controlled by the East Asian monsoon climate [33]. The annual average temperature is about 13.3°C and the annual rainfall is in the range of 558–750 mm with a general increasing trend from north to south. The mean annual precipitation of this basin area is 31.16 billion m3, accounting for 22.4% of the total precipitation of Shaanxi Province [24]. About 78% of the rainfall concentrates during May to October, among which the rainfall from July to September accounts for 47% of the annual total. The mean annual runoff of the basin area is 10.37 billion m3, and the mean annual variation coefficient of runoff is about 0.30–0.35. The runoff discharge patterns are dominated by runoff from July to September, which accounts for about 60–70% of annual discharge [6].A large number of groundwater pumping wells were constructed near the river, which potentially reduces the infiltration of river water into the adjacent aquifers of the Weihe River. Agricultural irrigation is the largest water consumer, representing 60% of the total amount of water consumption, which is withdrawn from the river and aquifers. Even in the low flow period, 80% of water in the stream is impounded by dams for agriculture irrigation in the Baoji district [24]. The ratio of water utilization volume for domestic, industry, and agriculture makes up 47.9% to the total volume of water resources in the Weihe River Basin. Meanwhile, the Weihe River Basin has been one of the most serious soil loss areas in the Yellow River Basin. The area suffering from serious soil loss has reached 360,000 km2, taking up 65% of total land area in the Weihe River Basin, which has not only aggravated the deterioration of ecosystem but also resulted in serious sediment deposition in the lower reach of the Weihe River [31, 37]. The cumulative yield of sediment deposition was 1.30 billion m3 in 2001, while the maximum amount was 1.32 billion m3 in 1997 (Figure 2). The capacity of the levees to prevent flood in the lower Weihe River decreased from 50-year to 20-year frequency of flooding and further to 10-year flood frequency [31]. The Weihe River streambed was, however, elevated downstream near Tongguan due to accumulation of silt and clay, leading to water logging and increased risk of flooding in this region [38].Figure 2
Cumulative volume of deposited sediment in the channel of the lower Weihe River.In addition, the Weihe River is the major sewage discharge channel in the Guanzhong Region. Large amount of untreated industrial wastewater and domestic sewage is directly discharged into the Weihe River. Also, the nonpoint source of contaminated stormwater washing off parking lots, roads and highways, and lawns (containing fertilizers and pesticides) is drained into the river. According to the survey data from Shaanxi Provincial Environmental Protection Bureau, a total number of 245 sewage discharge ports are distributed on both sides of the Weihe River, and more than 700 million tons of sewage is discharged into the river annually, which has resulted in serious water pollution [24].There are five hydrological gauging stations (Linjiacun, Weijiabao, Xianyang, Lintong, and Huaxian) along the Weihe River in Shaanxi Province (Figure1). Stream gradient becomes gentle from Linjiacun to the mouth of the lower reaches of the Weihe River. The average stream gradients for the reaches of Linjiacun-Xianyang and downstream from Xianyang are 1.24 m/km and 0.28 m/km, respectively [39]. On the basis of data related to ecology, society, economy, hydraulics, and hydrology measured in 2007, a typical hydrological year, the river health for five reaches is estimated, including Linjiacun-Weijiabao (LW), Weijiabao-Xianyang (WX), Xianyang-Lintong (XL), Lintong-Huaxian (LH), and the downstream of Huaxian (DH).


## 3. Methods

### 3.1. Fuzzy Synthetic Evaluation Method

Fuzzy synthetic evaluation method applies fuzzy mathematical principles to evaluate things and phenomenon affected by variety of factors [40, 41]. Fuzzy-based techniques are helpful in addressing deficiencies inherent in binary logic and propagating uncertainties through models. Contrary to binary logic, fuzzy-based techniques provide an intensity of exceeding regulated thresholds with the help of memberships to various health levels [42]. The fuzzy synthetic evaluation method regards evaluation objectives as a fuzzy set (named the factor set U) composed of variety of factors with different assessment levels selected. Another fuzzy set named the evaluation set V is employed to calculate the membership degree of each individual factor in the evaluation set to establish a fuzzy matrix. The quantitative evaluation value of each factor is finally determined by calculating the weight distribution of each factor in evaluation goal. It applies the fuzzy transformation theory and maximum membership degree law and makes a comprehensive evaluation on various factors [43, 44]. Specific steps are as follows.Firstly, evaluation factors are defined. In order to obtain accurate assessment results for river health conservation and protection, the factors reflecting the river health are determined based on the following rules. (1) Naturality: The factors reflect the essential attribute of the ecosystem functions of each section for the river [45]. (2) Representativeness: The most significant factor is identified to represent the same categorical ones. (3) Stability and variability: The domain factors can be determined within a certain time even though they change for a larger temporal scale [46]. (4) Quantification: The factors can be valued by the measured data and used to calculate the evaluation of river health. (5) Operability: The quality or function of these factors can be improved through treatment measures by related government agency.Based on these rules, the main ecosystem function of the Weihe River and the water environmental function zoning of Shaanxi Province was enacted by provincial government in 2004. Factor set of evaluation object is determined, which is expressed byU={u1,u2,…,um}. It is a set composed of m evaluation indictors, which are defined as follows. (1) Water quality: the major pollutant in the Weihe River is organic pollution including chemical oxygen demand (COD) and ammonia-nitrogen (NH3-N), which are the national pollution indicators classified by environmental quality standards for surface water (GB 3838-2002) defined by the environment protection law of the People’s Republic of China. (2) Guaranteed rate of discharge in dry flow season: it is the ratio of average flow volume in the dry flow season to the annual mean flow volume. (3) The ratio of wetland area: it is the percentage of the wetland area to the whole basin area. (4) Recreational value index: it is the ratio of measured in-stream flow to desired flow for supplying recreational activities, such as landscape appreciation, riverine travel. (5) Riparian vegetation coverage ratio: it is the ratio of riparian vegetation (grass, forestland, orchard, shrub, and riparian zone) area to the total riparian land area. (6) Capacity of flood discharge: it is the ratio of actual flood drainage flow to the desired flood drainage flow. (7) Requirement rate of bankfull discharge: it is the ratio of bankfull discharge to critical flow under the conditions without erosion or deposition. (8) Variation rate of streambed gradient: it is the ratio of stream gradient during measured period to the previous gradient before Sanmenxia Reservoir operation. (9) Proportion of fish species: it is the ratio of current fish species amount to amount in the 1980s.Secondly, remarkable grades of evaluation factors are determined: the rationality of the evaluation criteria directly affects the accuracy of evaluation results. Considering field investigation, expert advice, and literature review, the five remarkable grades including excellent, good, moderate, poor, and sick for the significance of the evaluation factors are defined, which is expressed by set,V={v1,v2,v3,v4,v5}.Thirdly, the factor weights are determined. The accuracy determination of the factor weight is of great importance to the evaluation of estimation results. Many methods have been developed to calculate factor weight, which can be roughly divided into subjective method and objective method according to the different sources of the original data. Subjective method, such as Delphi method and analytic hierarchy process (AHP), depends on the expert’s experience and judgment, and so on. In contrast, objective method, such as principal component analysis method, standard variance method, and maximizing deviation method, is based on measured data and thus has less subjective errors caused by human judgment. Objective ways cannot reflect the subjective requirements of decision-makers though they avoid human interference. This study used AHP, one commonly used method, to evaluate the health of the Weihe River in Shaanxi Province. A formal questionnaire for evaluation factor weights is proposed, the values of which are suggested by researches and governors. Then, the weight for each evaluation factor is determined, which is expressed byW={w1,w2,w3,…,wm}, a set composed of m weight values.Fourthly, the fuzzy membership function is estimated. There are some commonly used forms of functions to calculate membership degree, such as normal type, partial large-scale, partial small, triangular fuzzy numbers, lower semitrapezoidal, trapezoidal, and ridge [47]. The conclusions for the final analyses are consistent though the forms of these membership functions vary; which membership to select does not affect the study results [48]. In this paper, the triangular fuzzy number membership function was selected to determine the membership degree value of the evaluation factors. Different evaluation degree Uij is measured by the standard value Vijk of each evaluation factor. The membership functions are defined as follows [47, 49].For the first grade (K=1)(1)gx=1,x≤vk,cos2⁡x-vkvk+1-vk×π2,vk≤x≤vk+1,0,x≥vk+1.For the second, third, and fourth grade (K=2,3,4)(2)gx=0,x≤vk-1,sin2⁡x-vk-1vk-vk-1×π2,vk-1≤x≤vk,cos2⁡x-vkvk+1-vk×π2,vk≤x≤vk+1,0,x≥vk+1.For the fifth grade (K=5)(3)gx=0,x≤vk-1,sin2⁡x-sk-1vk-vk-1,vk-1≤x≤vk,1,x≥vk.Formulas (1)–(3) are suitable for a factor with less value indicating better quality. But for a factor with greater value indicating better quality, the symbol “<” should be changed to “>” and “>” to “<”.Finally, the hierarchical fuzzy evaluation is calculated. The fuzzy relation matrixRi of each evaluation factor ui for remarkable grade vj can be expressed as follows:(4)Ri=ri11ri12ri13ri14ri15ri21ri22ri23ri24ri25⋮⋮⋮⋮⋮rij1rij2rij3rij4rij5⋮⋮⋮⋮⋮,where rijk is the judge result of evaluation factor ui to remarkable grade vj.The first-grade fuzzy comprehensive evaluation setBi for the evaluation factor ui to remark j is calculated as follows:(5)Bi=Wi°Ri=Wi1,Wi2,…,Wij,…°ri11ri12ri13ri14ri15ri21ri22ri23ri24ri25⋮⋮⋮⋮⋮rij1rij2rij3rij4rij5⋮⋮⋮⋮⋮=Bi1,Bi2,Bi3,Bi4,Bi5,where Wij stands for weights of the evaluation factor ui to remark j and “°” is the matrix composite operator. In this paper, considering the effect of input single data on the evaluation results, one of general matrix algorithm performed as M(·,+) operator is used. This can clearly reflect the differences in the membership functions of each evaluation factor for each remarkable grade.Based on formula (4), the judge decision-making matrix of m evaluation factors is provided as follows:(6)R=B1B2⋮Bm=W1°R1W2°R2⋮⋮Wm°Rm,where R is the fuzzy connection of U to V.Then, the second-grade fuzzy synthetic evaluation setB is determined as(7)B=W°R=b1,b2,b3,b4,b5.According to the principle of maximum membership degree, the greatest value in the setB indicates river health conditions of the study area.


### 3.2. Sensitivity Analysis

Sensitivity analysis is a useful method to determine which factors are the key drivers to river health [50]. In general, the methods based on mathematical programming are complex and opaque, which has the disadvantage of providing reference for identification of factor’s sensibility. The simplest and most common approach is one-factor-at-a-time (OFAT or OAT), where. To see which parameters are the most sensitive factors to affect this produces on the output [51]. OAT is a measurement process to take out one parameter at a time while keeping the other parameters constant. In comparison with the deviations for the value from the whole parameter, the most sensitive factors are determined [52].


## 3.1. Fuzzy Synthetic Evaluation Method

Fuzzy synthetic evaluation method applies fuzzy mathematical principles to evaluate things and phenomenon affected by variety of factors [40, 41]. Fuzzy-based techniques are helpful in addressing deficiencies inherent in binary logic and propagating uncertainties through models. Contrary to binary logic, fuzzy-based techniques provide an intensity of exceeding regulated thresholds with the help of memberships to various health levels [42]. The fuzzy synthetic evaluation method regards evaluation objectives as a fuzzy set (named the factor set U) composed of variety of factors with different assessment levels selected. Another fuzzy set named the evaluation set V is employed to calculate the membership degree of each individual factor in the evaluation set to establish a fuzzy matrix. The quantitative evaluation value of each factor is finally determined by calculating the weight distribution of each factor in evaluation goal. It applies the fuzzy transformation theory and maximum membership degree law and makes a comprehensive evaluation on various factors [43, 44]. Specific steps are as follows.Firstly, evaluation factors are defined. In order to obtain accurate assessment results for river health conservation and protection, the factors reflecting the river health are determined based on the following rules. (1) Naturality: The factors reflect the essential attribute of the ecosystem functions of each section for the river [45]. (2) Representativeness: The most significant factor is identified to represent the same categorical ones. (3) Stability and variability: The domain factors can be determined within a certain time even though they change for a larger temporal scale [46]. (4) Quantification: The factors can be valued by the measured data and used to calculate the evaluation of river health. (5) Operability: The quality or function of these factors can be improved through treatment measures by related government agency.Based on these rules, the main ecosystem function of the Weihe River and the water environmental function zoning of Shaanxi Province was enacted by provincial government in 2004. Factor set of evaluation object is determined, which is expressed byU={u1,u2,…,um}. It is a set composed of m evaluation indictors, which are defined as follows. (1) Water quality: the major pollutant in the Weihe River is organic pollution including chemical oxygen demand (COD) and ammonia-nitrogen (NH3-N), which are the national pollution indicators classified by environmental quality standards for surface water (GB 3838-2002) defined by the environment protection law of the People’s Republic of China. (2) Guaranteed rate of discharge in dry flow season: it is the ratio of average flow volume in the dry flow season to the annual mean flow volume. (3) The ratio of wetland area: it is the percentage of the wetland area to the whole basin area. (4) Recreational value index: it is the ratio of measured in-stream flow to desired flow for supplying recreational activities, such as landscape appreciation, riverine travel. (5) Riparian vegetation coverage ratio: it is the ratio of riparian vegetation (grass, forestland, orchard, shrub, and riparian zone) area to the total riparian land area. (6) Capacity of flood discharge: it is the ratio of actual flood drainage flow to the desired flood drainage flow. (7) Requirement rate of bankfull discharge: it is the ratio of bankfull discharge to critical flow under the conditions without erosion or deposition. (8) Variation rate of streambed gradient: it is the ratio of stream gradient during measured period to the previous gradient before Sanmenxia Reservoir operation. (9) Proportion of fish species: it is the ratio of current fish species amount to amount in the 1980s.Secondly, remarkable grades of evaluation factors are determined: the rationality of the evaluation criteria directly affects the accuracy of evaluation results. Considering field investigation, expert advice, and literature review, the five remarkable grades including excellent, good, moderate, poor, and sick for the significance of the evaluation factors are defined, which is expressed by set,V={v1,v2,v3,v4,v5}.Thirdly, the factor weights are determined. The accuracy determination of the factor weight is of great importance to the evaluation of estimation results. Many methods have been developed to calculate factor weight, which can be roughly divided into subjective method and objective method according to the different sources of the original data. Subjective method, such as Delphi method and analytic hierarchy process (AHP), depends on the expert’s experience and judgment, and so on. In contrast, objective method, such as principal component analysis method, standard variance method, and maximizing deviation method, is based on measured data and thus has less subjective errors caused by human judgment. Objective ways cannot reflect the subjective requirements of decision-makers though they avoid human interference. This study used AHP, one commonly used method, to evaluate the health of the Weihe River in Shaanxi Province. A formal questionnaire for evaluation factor weights is proposed, the values of which are suggested by researches and governors. Then, the weight for each evaluation factor is determined, which is expressed byW={w1,w2,w3,…,wm}, a set composed of m weight values.Fourthly, the fuzzy membership function is estimated. There are some commonly used forms of functions to calculate membership degree, such as normal type, partial large-scale, partial small, triangular fuzzy numbers, lower semitrapezoidal, trapezoidal, and ridge [47]. The conclusions for the final analyses are consistent though the forms of these membership functions vary; which membership to select does not affect the study results [48]. In this paper, the triangular fuzzy number membership function was selected to determine the membership degree value of the evaluation factors. Different evaluation degree Uij is measured by the standard value Vijk of each evaluation factor. The membership functions are defined as follows [47, 49].For the first grade (K=1)(1)gx=1,x≤vk,cos2⁡x-vkvk+1-vk×π2,vk≤x≤vk+1,0,x≥vk+1.For the second, third, and fourth grade (K=2,3,4)(2)gx=0,x≤vk-1,sin2⁡x-vk-1vk-vk-1×π2,vk-1≤x≤vk,cos2⁡x-vkvk+1-vk×π2,vk≤x≤vk+1,0,x≥vk+1.For the fifth grade (K=5)(3)gx=0,x≤vk-1,sin2⁡x-sk-1vk-vk-1,vk-1≤x≤vk,1,x≥vk.Formulas (1)–(3) are suitable for a factor with less value indicating better quality. But for a factor with greater value indicating better quality, the symbol “<” should be changed to “>” and “>” to “<”.Finally, the hierarchical fuzzy evaluation is calculated. The fuzzy relation matrixRi of each evaluation factor ui for remarkable grade vj can be expressed as follows:(4)Ri=ri11ri12ri13ri14ri15ri21ri22ri23ri24ri25⋮⋮⋮⋮⋮rij1rij2rij3rij4rij5⋮⋮⋮⋮⋮,where rijk is the judge result of evaluation factor ui to remarkable grade vj.The first-grade fuzzy comprehensive evaluation setBi for the evaluation factor ui to remark j is calculated as follows:(5)Bi=Wi°Ri=Wi1,Wi2,…,Wij,…°ri11ri12ri13ri14ri15ri21ri22ri23ri24ri25⋮⋮⋮⋮⋮rij1rij2rij3rij4rij5⋮⋮⋮⋮⋮=Bi1,Bi2,Bi3,Bi4,Bi5,where Wij stands for weights of the evaluation factor ui to remark j and “°” is the matrix composite operator. In this paper, considering the effect of input single data on the evaluation results, one of general matrix algorithm performed as M(·,+) operator is used. This can clearly reflect the differences in the membership functions of each evaluation factor for each remarkable grade.Based on formula (4), the judge decision-making matrix of m evaluation factors is provided as follows:(6)R=B1B2⋮Bm=W1°R1W2°R2⋮⋮Wm°Rm,where R is the fuzzy connection of U to V.Then, the second-grade fuzzy synthetic evaluation setB is determined as(7)B=W°R=b1,b2,b3,b4,b5.According to the principle of maximum membership degree, the greatest value in the setB indicates river health conditions of the study area.


## 3.2. Sensitivity Analysis

Sensitivity analysis is a useful method to determine which factors are the key drivers to river health [50]. In general, the methods based on mathematical programming are complex and opaque, which has the disadvantage of providing reference for identification of factor’s sensibility. The simplest and most common approach is one-factor-at-a-time (OFAT or OAT), where. To see which parameters are the most sensitive factors to affect this produces on the output [51]. OAT is a measurement process to take out one parameter at a time while keeping the other parameters constant. In comparison with the deviations for the value from the whole parameter, the most sensitive factors are determined [52].


## 4. Results and Analysis

### 4.1. Definition of River Health Indicators

The reasonability of determining the evaluation indicator will directly affect the evaluation results of river health. Up to now, there has been no cohesive standard to assess the river health in China [20]. Generally speaking, an improper evaluation method will lead to unfair consequences, and the main cause of which is that every district, basin, or river has its distinctive characteristics and uniqueness. Thus, there is no mandatory and probable method to unify the evaluation standard to determine river health [53]. The main objectives of river health evaluation are to explore the main problems of the river health by assessing the current situation of the river and hence to investigate measures for amendment. To achieve these objectives, the evaluation indicators with weight for river health evaluation are determined by hierarchical structure including target layer, criterion layer, and index layer (Table 1).Table 1
Evaluation indicators, weight, and current values for five reaches of the Weihe River in Shaanxi Province.
Reach
Criterion layer (weight)
Indicator layer
Evaluation criterion
Current value
Excellent
Good
Moderate
Poor
Sick
LW
Water quality  (0.25)
COD (mg/L)
15.00
20.00
30.00
40.00
50.00
19.16
NH3-N (mg/L)
0.15
0.50
1.00
1.50
2.00
0.69
Ecological function  (0.59)
Ratio of wetland area  (%)
5.00
4.00
3.00
2.00
1.00
1.24
Riparian vegetation coverage ratio  (%)
90.00
70.00
50.00
30.00
10.00
59.89
Guaranteed rate of discharge in dry flow season  (%)
80.00
60.00
40.00
20.00
0.00
44.00
Recreation function  (0.16)
Recreation value index
90.00
70.00
50.00
30.00
10.00
40.00
WX
Water quality  (0.32)
COD (mg/L)
15.00
20.00
30.00
40.00
50.00
53.77
NH3-N (mg/L)
0.15
0.50
1.00
1.50
2.00
8.57
Ecological function  (0.34)
Riparian vegetation coverage ratio  (%)
90.00
70.00
50.00
30.00
10.00
60.97
Proportion of fish species  (%)
0.80
0.60
0.40
0.20
0.00
0.35
Guaranteed rate of discharge in dry flow season  (%)
80.00
60.00
40.00
20.00
0.00
40.00
Recreation function (0.34)
Recreation value index
90.00
70.00
50.00
30.00
10.00
36.00
XL
Water quality  (0.34)
COD (mg/L)
15.00
20.00
30.00
40.00
50.00
49.60
NH3-N (mg/L)
0.15
0.50
1.00
1.50
2.00
7.25
Ecological function  (0.14)
Ratio of wetland area (%)
5.00
4.00
3.00
2.00
1.00
8.90
Riparian vegetation coverage ratio  (%)
90.00
70.00
50.00
30.00
10.00
60.43
Guaranteed rate of discharge in dry flow season (%)
90.00
70.00
50.00
30.00
10.00
51.85
Flood control   (0.52)
Variation rate of streambed gradient  (%)
100.00
90.00
80.00
60.00
40.00
87.00
Capacity of flood discharge  (%)
95.00
85.00
75.00
60.00
40.00
54.60
LH
Water quality   (0.20)
COD  (mg/L)
15.00
20.00
30.00
40.00
50.00
41.46
NH3-N  (mg/L)
0.15
0.50
1.00
1.50
2.00
6.01
Ecological function  (0.37)
Riparian vegetation coverage ratio  (%)
90.00
70.00
50.00
30.00
10.00
65.08
Guaranteed rate of discharge in dry flow season  (%)
90.00
70.00
50.00
30.00
10.00
61.00
Flood control   (0.43)
Variation rate of streambed gradient  (%)
100.00
90.00
80.00
60.00
40.00
44.00
Requirement rate of bankfull discharge  (%)
100.00
80.00
60.00
40.00
20.00
39.00
DH
Water quality   (0.16)
COD  (mg/L)
15.00
20.00
30.00
40.00
50.00
37.26
NH3-N  (mg/L)
0.15
0.50
1.00
1.50
2.00
5.46
Ecological function  (0.30)
Ratio of wetland area  (%)
5.00
4.00
3.00
2.00
1.00
1.64
Guaranteed rate of discharge in dry flow season  (%)
80.00
60.00
40.00
20.00
0.00
37.50
Flood control   (0.54)
Variation rate of streambed gradient  (%)
100.00
90.00
80.00
70.00
60.00
71.00
Requirement rate of bankfull discharge  (%)
100.00
80.00
60.00
40.00
20.00
62.50


### 4.2. Evaluation Results from Criterion Layer

According to the principle of maximum membership degree and the estimated value from the criterion layer (Table2), result revealed that that water quality was good in the upstream reach of LW. However, water pollution became very serious in the reaches of WX and XL but got better in the reach below the Lintong gauging station. For the ecological function of the river, the reach of LH maintained good state while the other four reaches were in a moderate grade. The recreation function for the reaches of LW and WX was poor and the flood controlling capacity for the lower reaches was also in a poor condition. The status of river health for segmented reaches is demonstrated as follows.Table 2
The evaluation results for the criterion layer of Weihe River in Shaanxi Province.
Section
Criterion layer
Excellent
Good
Moderate
Poor
Sick
LW
Water quality
0.04
0.81
0.16
0.00
0.00
Ecological function
0.00
0.20
0.47
0.05
0.28
Recreation function
0.00
0.00
0.50
0.50
0.00
WX
Water quality
0.00
0.00
0.00
0.00
1.00
Ecological function
0.00
0.19
0.76
0.05
0.00
Recreation function
0.00
0.00
0.21
0.79
0.00
XL
Water quality
0.00
0.00
0.00
0.00
1.00
Ecological function
0.33
0.18
0.49
0.00
0.00
Flood control
0.00
0.40
0.11
0.42
0.09
LH
Water quality
0.00
0.00
0.00
0.48
0.53
Ecological function
0.00
0.72
0.28
0.00
0.00
Flood control
0.00
0.00
0.00
0.55
0.46
DH
Water quality
0.00
0.00
0.09
0.42
0.50
Ecological function
0.00
0.00
0.48
0.38
0.15
Flood control
0.00
0.02
0.49
0.49
0.00(1) Reach of LW. In general, water quality is good (Table 3), which indicates that the executive measures implemented to control pollutants discharged from industrial and domestic wastewater in recent years were significantly effective. However, the results show that water ecological and recreation functions in the reach were not good. In particular, the ecological function has sick grade, and this mainly resulted from the larger shortage of environmental flow. Due to reduction of precipitation and increase of water use for agriculture irrigation, industry production, and domestic life, the water flow reserved in the stream for maintaining ecological functions has been decreased. Agricultural irrigation is the largest water consumer, accounting for 60% of the total amount of water consumption. The ratio of water use volume for domestic, industry, and agriculture to the total volume of water resources in the Weihe River Basin runs up to 47.9%. Even in the low flow period, about 80% of the river flow is impounded by dams for agriculture irrigation in Baoji district (Table 4). Therefore, the guaranteed rate of discharge in dry flow season is very low. Meanwhile, the shortage of incoming water induces a larger area of exposed sediments in river channel, which has been cultivated as farmlands by farmers. The aesthetic value and ecological functions of stream landscape have been deteriorated due to destruction of the connectivity between river and wetland.Table 3
The estimated values of membership degree for evaluation indicator of the Weihe River in Shaanxi Province.
Reach
Criterion layer
Indicator layer
Value of membership degree
Excellent
Good
Moderate
Poor
Sick
LW
Water quality
COD  (mg/L)
0.07
0.93
0.00
0.00
0.00
NH3-N  (mg/L)
0.00
0.68
0.32
0.00
0.00
Ecological function
Ratio of wetland area (%)
0.00
0.00
0.00
0.14
0.86
Riparian vegetation coverage ratio (%)
0.00
0.49
0.51
0.00
0.00
Guaranteed rate of discharge in dry flow season (%)
0.00
0.10
0.90
0.00
0.00
Recreation function
Recreation value index
0.00
0.00
0.50
0.50
0.00
WX
Water quality
COD  (mg/L)
0.00
0.00
0.00
0.00
1.00
NH3-N  (mg/L)
0.00
0.00
0.00
0.00
1.00
Ecological function
Riparian vegetation coverage ratio (%)
0.00
0.58
0.42
0.00
0.00
Proportion of fish species (%)
0.00
0.00
0.85
0.15
0.00
Guaranteed rate of discharge in dry flow season (%)
0.00
0.00
1.00
0.00
0.00
Recreation function
Recreation value index
0.00
0.00
0.21
0.79
0.00
XL
Water quality
COD  (mg/L)
0.00
0.00
0.00
0.00
1.00
NH3-N  (mg/L)
0.00
0.00
0.00
0.00
1.00
Ecological function
Ratio of wetland area  (%)
1.00
0.00
0.00
0.00
0.00
Riparian vegetation coverage ratio (%)
0.00
0.53
0.47
0.00
0.00
Guaranteed rate of discharge in dry flow season  (%)
0.00
0.02
0.98
0.00
0.00
Flood control
Variation rate of streambed gradient (%)
0.00
0.79
0.21
0.00
0.00
Capacity of flood discharge  (%)
0.00
0.00
0.00
0.83
0.17
LH
Water quality
COD  (mg/L)
0.00
0.00
0.00
0.95
0.05
NH3-N  (mg/L)
0.00
0.00
0.00
0.00
1.00
Ecological function
Riparian vegetation coverage ratio (%)
0.00
0.86
0.14
0.00
0.00
Guaranteed rate of discharge in dry flow season (%)
0.00
0.58
0.42
0.00
0.00
Flood control
Variation rate of streambed gradient (%)
0.00
0.00
0.00
0.10
0.90
Requirement rate of bankfull discharge (%)
0.00
0.00
0.00
0.99
0.01
DH
Water quality
COD  (mg/L)
0.00
0.00
0.17
0.83
0.00
NH3-N  (mg/L)
0.00
0.00
0.00
0.00
1.00
Ecological function
Ratio of wetland area (%)
0.00
0.00
0.00
0.71
0.29
Guaranteed rate of discharge in dry flow season (%)
0.00
0.00
0.96
0.04
0.00
Flood control
Variation rate of streambed gradient (%)
0.00
0.00
0.02
0.98
0.00
Requirement rate of bankfull discharge (%)
0.00
0.04
0.96
0.00
0.00Table 4
Comparison of impounding water by dams and the runoff in Baoji area [23].
Month
Jan.
Feb.
Mar.
Apr.
May
Jun.
Jul.
Aug.
Sep.
Oct.
Nov.
Dec.
Impounding water (106 m3)
38.0
34.5
38.8
34.0
31.0
46.2
55.3
81.6
65.9
71.0
47.2
40.1
Runoff (106 m3)
44.7
40.7
60.6
63.6
88.2
99.3
166.8
181.5
165.2
184.3
76.7
48.5
Ratio of impounding water to runoff
0.85
0.85
0.64
0.53
0.35
0.47
0.33
0.45
0.40
0.39
0.62
0.83(2) Reach of WX. Water pollution is very serious in this river section (Table 3). The concentrations of typical pollutants like chemical oxygen demand (COD) and ammonia-nitrogen (NH3-N) are greater than the upper threshold values in the environmental quality standard based on the surface water function zoning of Shaanxi Province in 2004. A large numbers of lands in Baoji area are cultivated with crops and irrigated by dam water. Water pollutants from nonpoint source of agriculture are the main factors causing serious pollution of the river [24]. This reach is in the moderate level and poor level, respectively, in terms of ecological function and recreation function (Table 3). The coverage ratio of riparian vegetation is high. However, fish species has significantly decreased compared with that of 1980s, which is caused by heavy pollution and great shortage of environmental flow [24]. Moreover, the recreational value has decreased due to loss of aquatic biological diversity and damage of river landscape.(3) Reach of XL. The pollution of water is also very serious in this reach (Table 3). Most reach pollutants are discharged from industrial wastewater and domestic sewage, especially in Xi’an. The concentration of water pollution is greater than that of aquatic environmental capacity. The ecological functions are in good condition, which are mainly attributed to the large areas of wetland. Meanwhile, the satisfaction degree of water flow for ecological function requirements is high. However, the capacity of flood discharge is low. From the Xianyang hydrological gauging station, channel sedimentation becomes a serious problem, which decreases sediment transport capacity and increases the risks of flood.(4) Reach of LH. Water quality is poor in this reach (Table 3), especially the most serious pollution of the ammonia-nitrogen (NH3-N) whose concentration is greater than the upper threshold value of heavy pollution grade V in Environmental Quality Standards for Surface Water (GB 3838-2002) defined by the Environment Protection Law of the People’s Republic of China. Industrial wastewater and agricultural nonpoint source pollutants are the main sources inducing such heavy water pollution [24]. Both the guaranteed rate of discharge in dry flow season and riparian vegetation coverage ratio are good (Table 3), which maintain well ecological function. However, due to the operation of Sanmenxia Reservoir, the gradual channel sedimentation has resulted in a decrease of stream gradient as well as capacity of bankfull discharge (Table 3).(5) Reach of DH. Water quality is still bad in this river section though progresses on the treatment of some pollutants have been made. Water quality in terms of chemical oxygen demand (COD) is better in this reach than the above three reaches (Table 3), while concentration of ammonia-nitrogen (NH3-N) is still inferior to the water quality of grade V in environmental quality standards for surface water (GB 3838-2002). Due to increase of construction and agricultural lands, and shrinking of wetland caused by the decease of river runoff, ecological function has degraded to the moderate grade (Table 3). The habitat of aquatic organisms has deteriorated and is in danger of becoming extinct, and wetland ecosystems have been severely damaged. Improper operation of the Sanmenxia Reservoir has reduced the stream gradient of the upper river, which is the direct reason resulting in river channel deposition. Thus reducing elevation and enhancing flood control capacity are the difficulty but also the focus for management and governance of this reach.


### 4.3. Evaluation Results from Fuzzy Relation Matrix

Membership matrix and the corresponding weights in the evaluation criteria layer of each reach were used to calculate the health situation of the Weihe River in Shaanxi Province (Table5). According to the principle of maximum membership degree, the maximum level of membership in the healthy level was taken as the river health status of each reach. The maximum degree of membership is in morbid level in the XL reach, indicating that the river health in this reach is in the “sick” rating. The maximum degree of membership in LH reach is in the “poor” health rating, which suggests that river health in this reach is in poor health status level. The health situation in DH section is in poor level because the maximum membership degree in this reach is in poor rating. There is no membership degree locating in excellent and good health grating, which reveals that water heath in this reach is less than “moderate” health level. In summary, health status of the Weihe River downstream demonstrated a deteriorating trend along its flowing way, although health situation in the river estuary is improved. In general, the river health of downstream is in a poor rating, which suggests an urgent calling for the protection of the health of the Weihe River.Table 5
Health evaluation results of the Weihe River in Shaanxi Province.
Reaches
Excellent
Good
Moderate
Poor
Sick
River health index (RHI)
LW
0.01
0.32
0.40
0.11
0.17
WX
0.00
0.06
0.33
0.29
0.32
XL
0.05
0.23
0.13
0.22
0.39
LH
0.00
0.27
0.10
0.33
0.30
DH
0.00
0.01
0.42
0.45
0.13


### 4.4. Sensitive Indictors for the River Health Evaluation

In this study, the sensitive degree of an indicator to the river health was determined by comparing the difference of measurement values between keeping the whole indicators and taking out of the indicator. Based on the result variation of each indicator before and after being removed, the influence degree, that is, sensitivity degree of the indicator to the health evaluation results of the Weihe River, was determined.For the reach of LW, the guaranteed rate of discharge in the dry flow season is the most sensitive factor, and the second sensitive factor is the ratio of wetland area (Table6). This result indicates that the guaranteed rate of discharge in the dry flow season is the most important factor influencing river health of this reach. It suggests that insufficient in-stream flow is the key issue in river health protection in this reach; meanwhile wetland protection should not be neglected.Table 6
Sensitive analysis results for the health evaluation of the Weihe River in Shaanxi Province.
Reach
Removed indicators
Value of membership degree
Excellent
Good
Moderate
Poor
Sick
LW
Non
0.01
0.32
0.40
0.11
0.17
COD (mg/L)
0.01
0.32
0.40
0.11
0.17
NH3-N (mg/L)
0.00
0.29
0.44
0.11
0.17
Ratio of wetland area (%)
0.02
0.35
0.36
0.11
0.17
Riparian vegetation coverage ratio (%)
0.01
0.38
0.54
0.08
0.00
Guaranteed rate of discharge in dry flow season (%)
0.01
0.23
0.39
0.12
0.25
WX
Non
0.00
0.06
0.33
0.29
0.32
COD (mg/L)
0.00
0.06
0.33
0.29
0.32
NH3-N (mg/L)
0.00
0.06
0.33
0.29
0.32
Riparian vegetation coverage ratio (%)
0.00
0.00
0.39
0.29
0.32
Proportion of fish species (%)
0.00
0.10
0.31
0.27
0.32
Guaranteed rate of discharge in dry flow season (%)
0.00
0.10
0.29
0.29
0.32
XL
Non
0.05
0.23
0.13
0.22
0.39
COD (mg/L)
0.05
0.23
0.13
0.22
0.39
NH3-N (mg/L)
0.05
0.23
0.13
0.22
0.39
Ratio of wetland area (%)
0.00
0.24
0.16
0.22
0.38
Riparian vegetation coverage ratio (%)
0.07
0.21
0.12
0.22
0.38
Guaranteed rate of discharge in dry flow season (%)
0.07
0.24
0.09
0.22
0.38
Variation rate of streambed gradient (%)
0.05
0.03
0.07
0.43
0.42
Capacity of flood discharge (%)
0.05
0.44
0.18
0.00
0.34
LH
Non
0.00
0.27
0.10
0.33
0.30
COD (mg/L)
0.00
0.27
0.10
0.24
0.40
NH3-N (mg/L)
0.00
0.27
0.10
0.43
0.21
Riparian vegetation coverage ratio (%)
0.00
0.21
0.16
0.33
0.30
Guaranteed rate of discharge in dry flow season (%)
0.00
0.32
0.05
0.33
0.30
Variation rate of streambed gradient (%)
0.00
0.27
0.10
0.52
0.11
Requirement rate of bankfull discharge (%)
0.00
0.27
0.10
0.14
0.49
DH
Non
0.00
0.01
0.42
0.45
0.13
COD (mg/L)
0.00
0.01
0.41
0.38
0.21
NH3-N (mg/L)
0.00
0.01
0.44
0.51
0.05
Ratio of wetland area (%)
0.00
0.01
0.57
0.34
0.08
Guaranteed rate of discharge in dry flow season (%)
0.00
0.01
0.28
0.54
0.17
Variation rate of streambed gradient (%)
0.00
0.02
0.68
0.18
0.13
Requirement rate of bankfull discharge (%)
0.00
0.00
0.17
0.71
0.13For the reach of WX, the riparian vegetation coverage ratio, the proportion of fish species, and the guaranteed rate of discharge in the dry flow season had an impact on the results of the river health evaluation in this river section (Table6). The sensitivity analysis results confirm that the guaranteed rate of discharge in the dry flow season and the proportion of fish species are two factors which could cause the largest variations of the comprehensive evaluation results. However, from the results of a comprehensive evaluation of river health, it is seen that membership in sick levels caused by water quality still remained constant. Thus improving of water quality will definitely lead to the changes of the comprehensive evaluation results of the river health. These analysis results suggest that, in addition to the guaranteed rate in the dry flow season, the impact of the river water quality is the most important factor for river health of this reach; thereby improving water quality is the most important task for the governance of this river section.For the reach of XL, the indicators that had greater impacts on the comprehensive evaluation results included the riparian vegetation coverage ratio, variation rate of streambed gradient, and capacity of flood discharge (Table6). The indicator that will affect the evaluation result to the largest extent is capacity of flood discharge, and this is mainly because the Jinhe River with large amounts of sediment transport joins the Weihe River in the reach and the sediments are settled due to reduction of flow velocity here. A large quantity of settled sediments block the channel, which causes flooding, and thus improving flood control capacity including nonstructural measures and engineering measures is the focus for the protection of this reach.For the reach of LX, pollutant of COD and the requirement rate of bankfull discharge are the most influential factors affecting health evaluation results. In general, the requirement rate of bankfull discharge was slightly more sensitive than COD to the river health (Table6). The reach is located in the downstream of Xi’an city, the capital of Shaanxi Province, and its water quality is very poor due to large amounts of sewage and waste discharged from Xi’an, and many organic pollutants from soil erosion of irrigated agriculture on both sides of the Weihe River. Water pollution control in Xi’an city is the key issue for water quality improvement in this reach. Reduction of riverbed gradient has resulted in sedimentation settlement, which is the most important reason that led to insufficient requirement rate of bankfull discharge. Another reason for river channel recession is that low peak flows in recent years have not effectively scoured the river channel. These analyses suggest that the river water quality management and river regulation are the most fundamental concerns for river protection and exploitation in the reach.For the reach of DH, each indicator directly impacts the results of comprehensive health assessment to some extent (Table6), which suggests that each of these indicators has a certain sensitivity degree to the river health evaluation results in this reach. The sensitive indices in Table 6 display that COD, the ratio of wetland area, and the variation rate of the streambed gradient have large impacts on the comprehensive evaluation results of river health in this reach, among which the variation rate of the stream gradient has the largest impacts. The sediment deposition in the lower Weihe River has been cumulating over 1.3 billion m3 since the Sanmenxia Reservoir was operated in 1960s [24]. Riverbed sedimentation, river channel shrink, and raising of Tongguan elevation every year have gradually reduced the variation rate of the riverbed gradient from 1/5000 before the construction of the reservoir to 1/6000. Difficult sediment transport, pollutant discharge, and exacerbating flood and related wetland loses are the major problems that this reach is facing, which are all caused by the reduction of variation rate of the stream gradient.


## 4.1. Definition of River Health Indicators

The reasonability of determining the evaluation indicator will directly affect the evaluation results of river health. Up to now, there has been no cohesive standard to assess the river health in China [20]. Generally speaking, an improper evaluation method will lead to unfair consequences, and the main cause of which is that every district, basin, or river has its distinctive characteristics and uniqueness. Thus, there is no mandatory and probable method to unify the evaluation standard to determine river health [53]. The main objectives of river health evaluation are to explore the main problems of the river health by assessing the current situation of the river and hence to investigate measures for amendment. To achieve these objectives, the evaluation indicators with weight for river health evaluation are determined by hierarchical structure including target layer, criterion layer, and index layer (Table 1).Table 1
Evaluation indicators, weight, and current values for five reaches of the Weihe River in Shaanxi Province.
Reach
Criterion layer (weight)
Indicator layer
Evaluation criterion
Current value
Excellent
Good
Moderate
Poor
Sick
LW
Water quality  (0.25)
COD (mg/L)
15.00
20.00
30.00
40.00
50.00
19.16
NH3-N (mg/L)
0.15
0.50
1.00
1.50
2.00
0.69
Ecological function  (0.59)
Ratio of wetland area  (%)
5.00
4.00
3.00
2.00
1.00
1.24
Riparian vegetation coverage ratio  (%)
90.00
70.00
50.00
30.00
10.00
59.89
Guaranteed rate of discharge in dry flow season  (%)
80.00
60.00
40.00
20.00
0.00
44.00
Recreation function  (0.16)
Recreation value index
90.00
70.00
50.00
30.00
10.00
40.00
WX
Water quality  (0.32)
COD (mg/L)
15.00
20.00
30.00
40.00
50.00
53.77
NH3-N (mg/L)
0.15
0.50
1.00
1.50
2.00
8.57
Ecological function  (0.34)
Riparian vegetation coverage ratio  (%)
90.00
70.00
50.00
30.00
10.00
60.97
Proportion of fish species  (%)
0.80
0.60
0.40
0.20
0.00
0.35
Guaranteed rate of discharge in dry flow season  (%)
80.00
60.00
40.00
20.00
0.00
40.00
Recreation function (0.34)
Recreation value index
90.00
70.00
50.00
30.00
10.00
36.00
XL
Water quality  (0.34)
COD (mg/L)
15.00
20.00
30.00
40.00
50.00
49.60
NH3-N (mg/L)
0.15
0.50
1.00
1.50
2.00
7.25
Ecological function  (0.14)
Ratio of wetland area (%)
5.00
4.00
3.00
2.00
1.00
8.90
Riparian vegetation coverage ratio  (%)
90.00
70.00
50.00
30.00
10.00
60.43
Guaranteed rate of discharge in dry flow season (%)
90.00
70.00
50.00
30.00
10.00
51.85
Flood control   (0.52)
Variation rate of streambed gradient  (%)
100.00
90.00
80.00
60.00
40.00
87.00
Capacity of flood discharge  (%)
95.00
85.00
75.00
60.00
40.00
54.60
LH
Water quality   (0.20)
COD  (mg/L)
15.00
20.00
30.00
40.00
50.00
41.46
NH3-N  (mg/L)
0.15
0.50
1.00
1.50
2.00
6.01
Ecological function  (0.37)
Riparian vegetation coverage ratio  (%)
90.00
70.00
50.00
30.00
10.00
65.08
Guaranteed rate of discharge in dry flow season  (%)
90.00
70.00
50.00
30.00
10.00
61.00
Flood control   (0.43)
Variation rate of streambed gradient  (%)
100.00
90.00
80.00
60.00
40.00
44.00
Requirement rate of bankfull discharge  (%)
100.00
80.00
60.00
40.00
20.00
39.00
DH
Water quality   (0.16)
COD  (mg/L)
15.00
20.00
30.00
40.00
50.00
37.26
NH3-N  (mg/L)
0.15
0.50
1.00
1.50
2.00
5.46
Ecological function  (0.30)
Ratio of wetland area  (%)
5.00
4.00
3.00
2.00
1.00
1.64
Guaranteed rate of discharge in dry flow season  (%)
80.00
60.00
40.00
20.00
0.00
37.50
Flood control   (0.54)
Variation rate of streambed gradient  (%)
100.00
90.00
80.00
70.00
60.00
71.00
Requirement rate of bankfull discharge  (%)
100.00
80.00
60.00
40.00
20.00
62.50


## 4.2. Evaluation Results from Criterion Layer

According to the principle of maximum membership degree and the estimated value from the criterion layer (Table2), result revealed that that water quality was good in the upstream reach of LW. However, water pollution became very serious in the reaches of WX and XL but got better in the reach below the Lintong gauging station. For the ecological function of the river, the reach of LH maintained good state while the other four reaches were in a moderate grade. The recreation function for the reaches of LW and WX was poor and the flood controlling capacity for the lower reaches was also in a poor condition. The status of river health for segmented reaches is demonstrated as follows.Table 2
The evaluation results for the criterion layer of Weihe River in Shaanxi Province.
Section
Criterion layer
Excellent
Good
Moderate
Poor
Sick
LW
Water quality
0.04
0.81
0.16
0.00
0.00
Ecological function
0.00
0.20
0.47
0.05
0.28
Recreation function
0.00
0.00
0.50
0.50
0.00
WX
Water quality
0.00
0.00
0.00
0.00
1.00
Ecological function
0.00
0.19
0.76
0.05
0.00
Recreation function
0.00
0.00
0.21
0.79
0.00
XL
Water quality
0.00
0.00
0.00
0.00
1.00
Ecological function
0.33
0.18
0.49
0.00
0.00
Flood control
0.00
0.40
0.11
0.42
0.09
LH
Water quality
0.00
0.00
0.00
0.48
0.53
Ecological function
0.00
0.72
0.28
0.00
0.00
Flood control
0.00
0.00
0.00
0.55
0.46
DH
Water quality
0.00
0.00
0.09
0.42
0.50
Ecological function
0.00
0.00
0.48
0.38
0.15
Flood control
0.00
0.02
0.49
0.49
0.00(1) Reach of LW. In general, water quality is good (Table 3), which indicates that the executive measures implemented to control pollutants discharged from industrial and domestic wastewater in recent years were significantly effective. However, the results show that water ecological and recreation functions in the reach were not good. In particular, the ecological function has sick grade, and this mainly resulted from the larger shortage of environmental flow. Due to reduction of precipitation and increase of water use for agriculture irrigation, industry production, and domestic life, the water flow reserved in the stream for maintaining ecological functions has been decreased. Agricultural irrigation is the largest water consumer, accounting for 60% of the total amount of water consumption. The ratio of water use volume for domestic, industry, and agriculture to the total volume of water resources in the Weihe River Basin runs up to 47.9%. Even in the low flow period, about 80% of the river flow is impounded by dams for agriculture irrigation in Baoji district (Table 4). Therefore, the guaranteed rate of discharge in dry flow season is very low. Meanwhile, the shortage of incoming water induces a larger area of exposed sediments in river channel, which has been cultivated as farmlands by farmers. The aesthetic value and ecological functions of stream landscape have been deteriorated due to destruction of the connectivity between river and wetland.Table 3
The estimated values of membership degree for evaluation indicator of the Weihe River in Shaanxi Province.
Reach
Criterion layer
Indicator layer
Value of membership degree
Excellent
Good
Moderate
Poor
Sick
LW
Water quality
COD  (mg/L)
0.07
0.93
0.00
0.00
0.00
NH3-N  (mg/L)
0.00
0.68
0.32
0.00
0.00
Ecological function
Ratio of wetland area (%)
0.00
0.00
0.00
0.14
0.86
Riparian vegetation coverage ratio (%)
0.00
0.49
0.51
0.00
0.00
Guaranteed rate of discharge in dry flow season (%)
0.00
0.10
0.90
0.00
0.00
Recreation function
Recreation value index
0.00
0.00
0.50
0.50
0.00
WX
Water quality
COD  (mg/L)
0.00
0.00
0.00
0.00
1.00
NH3-N  (mg/L)
0.00
0.00
0.00
0.00
1.00
Ecological function
Riparian vegetation coverage ratio (%)
0.00
0.58
0.42
0.00
0.00
Proportion of fish species (%)
0.00
0.00
0.85
0.15
0.00
Guaranteed rate of discharge in dry flow season (%)
0.00
0.00
1.00
0.00
0.00
Recreation function
Recreation value index
0.00
0.00
0.21
0.79
0.00
XL
Water quality
COD  (mg/L)
0.00
0.00
0.00
0.00
1.00
NH3-N  (mg/L)
0.00
0.00
0.00
0.00
1.00
Ecological function
Ratio of wetland area  (%)
1.00
0.00
0.00
0.00
0.00
Riparian vegetation coverage ratio (%)
0.00
0.53
0.47
0.00
0.00
Guaranteed rate of discharge in dry flow season  (%)
0.00
0.02
0.98
0.00
0.00
Flood control
Variation rate of streambed gradient (%)
0.00
0.79
0.21
0.00
0.00
Capacity of flood discharge  (%)
0.00
0.00
0.00
0.83
0.17
LH
Water quality
COD  (mg/L)
0.00
0.00
0.00
0.95
0.05
NH3-N  (mg/L)
0.00
0.00
0.00
0.00
1.00
Ecological function
Riparian vegetation coverage ratio (%)
0.00
0.86
0.14
0.00
0.00
Guaranteed rate of discharge in dry flow season (%)
0.00
0.58
0.42
0.00
0.00
Flood control
Variation rate of streambed gradient (%)
0.00
0.00
0.00
0.10
0.90
Requirement rate of bankfull discharge (%)
0.00
0.00
0.00
0.99
0.01
DH
Water quality
COD  (mg/L)
0.00
0.00
0.17
0.83
0.00
NH3-N  (mg/L)
0.00
0.00
0.00
0.00
1.00
Ecological function
Ratio of wetland area (%)
0.00
0.00
0.00
0.71
0.29
Guaranteed rate of discharge in dry flow season (%)
0.00
0.00
0.96
0.04
0.00
Flood control
Variation rate of streambed gradient (%)
0.00
0.00
0.02
0.98
0.00
Requirement rate of bankfull discharge (%)
0.00
0.04
0.96
0.00
0.00Table 4
Comparison of impounding water by dams and the runoff in Baoji area [23].
Month
Jan.
Feb.
Mar.
Apr.
May
Jun.
Jul.
Aug.
Sep.
Oct.
Nov.
Dec.
Impounding water (106 m3)
38.0
34.5
38.8
34.0
31.0
46.2
55.3
81.6
65.9
71.0
47.2
40.1
Runoff (106 m3)
44.7
40.7
60.6
63.6
88.2
99.3
166.8
181.5
165.2
184.3
76.7
48.5
Ratio of impounding water to runoff
0.85
0.85
0.64
0.53
0.35
0.47
0.33
0.45
0.40
0.39
0.62
0.83(2) Reach of WX. Water pollution is very serious in this river section (Table 3). The concentrations of typical pollutants like chemical oxygen demand (COD) and ammonia-nitrogen (NH3-N) are greater than the upper threshold values in the environmental quality standard based on the surface water function zoning of Shaanxi Province in 2004. A large numbers of lands in Baoji area are cultivated with crops and irrigated by dam water. Water pollutants from nonpoint source of agriculture are the main factors causing serious pollution of the river [24]. This reach is in the moderate level and poor level, respectively, in terms of ecological function and recreation function (Table 3). The coverage ratio of riparian vegetation is high. However, fish species has significantly decreased compared with that of 1980s, which is caused by heavy pollution and great shortage of environmental flow [24]. Moreover, the recreational value has decreased due to loss of aquatic biological diversity and damage of river landscape.(3) Reach of XL. The pollution of water is also very serious in this reach (Table 3). Most reach pollutants are discharged from industrial wastewater and domestic sewage, especially in Xi’an. The concentration of water pollution is greater than that of aquatic environmental capacity. The ecological functions are in good condition, which are mainly attributed to the large areas of wetland. Meanwhile, the satisfaction degree of water flow for ecological function requirements is high. However, the capacity of flood discharge is low. From the Xianyang hydrological gauging station, channel sedimentation becomes a serious problem, which decreases sediment transport capacity and increases the risks of flood.(4) Reach of LH. Water quality is poor in this reach (Table 3), especially the most serious pollution of the ammonia-nitrogen (NH3-N) whose concentration is greater than the upper threshold value of heavy pollution grade V in Environmental Quality Standards for Surface Water (GB 3838-2002) defined by the Environment Protection Law of the People’s Republic of China. Industrial wastewater and agricultural nonpoint source pollutants are the main sources inducing such heavy water pollution [24]. Both the guaranteed rate of discharge in dry flow season and riparian vegetation coverage ratio are good (Table 3), which maintain well ecological function. However, due to the operation of Sanmenxia Reservoir, the gradual channel sedimentation has resulted in a decrease of stream gradient as well as capacity of bankfull discharge (Table 3).(5) Reach of DH. Water quality is still bad in this river section though progresses on the treatment of some pollutants have been made. Water quality in terms of chemical oxygen demand (COD) is better in this reach than the above three reaches (Table 3), while concentration of ammonia-nitrogen (NH3-N) is still inferior to the water quality of grade V in environmental quality standards for surface water (GB 3838-2002). Due to increase of construction and agricultural lands, and shrinking of wetland caused by the decease of river runoff, ecological function has degraded to the moderate grade (Table 3). The habitat of aquatic organisms has deteriorated and is in danger of becoming extinct, and wetland ecosystems have been severely damaged. Improper operation of the Sanmenxia Reservoir has reduced the stream gradient of the upper river, which is the direct reason resulting in river channel deposition. Thus reducing elevation and enhancing flood control capacity are the difficulty but also the focus for management and governance of this reach.


## 4.3. Evaluation Results from Fuzzy Relation Matrix

Membership matrix and the corresponding weights in the evaluation criteria layer of each reach were used to calculate the health situation of the Weihe River in Shaanxi Province (Table5). According to the principle of maximum membership degree, the maximum level of membership in the healthy level was taken as the river health status of each reach. The maximum degree of membership is in morbid level in the XL reach, indicating that the river health in this reach is in the “sick” rating. The maximum degree of membership in LH reach is in the “poor” health rating, which suggests that river health in this reach is in poor health status level. The health situation in DH section is in poor level because the maximum membership degree in this reach is in poor rating. There is no membership degree locating in excellent and good health grating, which reveals that water heath in this reach is less than “moderate” health level. In summary, health status of the Weihe River downstream demonstrated a deteriorating trend along its flowing way, although health situation in the river estuary is improved. In general, the river health of downstream is in a poor rating, which suggests an urgent calling for the protection of the health of the Weihe River.Table 5
Health evaluation results of the Weihe River in Shaanxi Province.
Reaches
Excellent
Good
Moderate
Poor
Sick
River health index (RHI)
LW
0.01
0.32
0.40
0.11
0.17
WX
0.00
0.06
0.33
0.29
0.32
XL
0.05
0.23
0.13
0.22
0.39
LH
0.00
0.27
0.10
0.33
0.30
DH
0.00
0.01
0.42
0.45
0.13


## 4.4. Sensitive Indictors for the River Health Evaluation

In this study, the sensitive degree of an indicator to the river health was determined by comparing the difference of measurement values between keeping the whole indicators and taking out of the indicator. Based on the result variation of each indicator before and after being removed, the influence degree, that is, sensitivity degree of the indicator to the health evaluation results of the Weihe River, was determined.For the reach of LW, the guaranteed rate of discharge in the dry flow season is the most sensitive factor, and the second sensitive factor is the ratio of wetland area (Table6). This result indicates that the guaranteed rate of discharge in the dry flow season is the most important factor influencing river health of this reach. It suggests that insufficient in-stream flow is the key issue in river health protection in this reach; meanwhile wetland protection should not be neglected.Table 6
Sensitive analysis results for the health evaluation of the Weihe River in Shaanxi Province.
Reach
Removed indicators
Value of membership degree
Excellent
Good
Moderate
Poor
Sick
LW
Non
0.01
0.32
0.40
0.11
0.17
COD (mg/L)
0.01
0.32
0.40
0.11
0.17
NH3-N (mg/L)
0.00
0.29
0.44
0.11
0.17
Ratio of wetland area (%)
0.02
0.35
0.36
0.11
0.17
Riparian vegetation coverage ratio (%)
0.01
0.38
0.54
0.08
0.00
Guaranteed rate of discharge in dry flow season (%)
0.01
0.23
0.39
0.12
0.25
WX
Non
0.00
0.06
0.33
0.29
0.32
COD (mg/L)
0.00
0.06
0.33
0.29
0.32
NH3-N (mg/L)
0.00
0.06
0.33
0.29
0.32
Riparian vegetation coverage ratio (%)
0.00
0.00
0.39
0.29
0.32
Proportion of fish species (%)
0.00
0.10
0.31
0.27
0.32
Guaranteed rate of discharge in dry flow season (%)
0.00
0.10
0.29
0.29
0.32
XL
Non
0.05
0.23
0.13
0.22
0.39
COD (mg/L)
0.05
0.23
0.13
0.22
0.39
NH3-N (mg/L)
0.05
0.23
0.13
0.22
0.39
Ratio of wetland area (%)
0.00
0.24
0.16
0.22
0.38
Riparian vegetation coverage ratio (%)
0.07
0.21
0.12
0.22
0.38
Guaranteed rate of discharge in dry flow season (%)
0.07
0.24
0.09
0.22
0.38
Variation rate of streambed gradient (%)
0.05
0.03
0.07
0.43
0.42
Capacity of flood discharge (%)
0.05
0.44
0.18
0.00
0.34
LH
Non
0.00
0.27
0.10
0.33
0.30
COD (mg/L)
0.00
0.27
0.10
0.24
0.40
NH3-N (mg/L)
0.00
0.27
0.10
0.43
0.21
Riparian vegetation coverage ratio (%)
0.00
0.21
0.16
0.33
0.30
Guaranteed rate of discharge in dry flow season (%)
0.00
0.32
0.05
0.33
0.30
Variation rate of streambed gradient (%)
0.00
0.27
0.10
0.52
0.11
Requirement rate of bankfull discharge (%)
0.00
0.27
0.10
0.14
0.49
DH
Non
0.00
0.01
0.42
0.45
0.13
COD (mg/L)
0.00
0.01
0.41
0.38
0.21
NH3-N (mg/L)
0.00
0.01
0.44
0.51
0.05
Ratio of wetland area (%)
0.00
0.01
0.57
0.34
0.08
Guaranteed rate of discharge in dry flow season (%)
0.00
0.01
0.28
0.54
0.17
Variation rate of streambed gradient (%)
0.00
0.02
0.68
0.18
0.13
Requirement rate of bankfull discharge (%)
0.00
0.00
0.17
0.71
0.13For the reach of WX, the riparian vegetation coverage ratio, the proportion of fish species, and the guaranteed rate of discharge in the dry flow season had an impact on the results of the river health evaluation in this river section (Table6). The sensitivity analysis results confirm that the guaranteed rate of discharge in the dry flow season and the proportion of fish species are two factors which could cause the largest variations of the comprehensive evaluation results. However, from the results of a comprehensive evaluation of river health, it is seen that membership in sick levels caused by water quality still remained constant. Thus improving of water quality will definitely lead to the changes of the comprehensive evaluation results of the river health. These analysis results suggest that, in addition to the guaranteed rate in the dry flow season, the impact of the river water quality is the most important factor for river health of this reach; thereby improving water quality is the most important task for the governance of this river section.For the reach of XL, the indicators that had greater impacts on the comprehensive evaluation results included the riparian vegetation coverage ratio, variation rate of streambed gradient, and capacity of flood discharge (Table6). The indicator that will affect the evaluation result to the largest extent is capacity of flood discharge, and this is mainly because the Jinhe River with large amounts of sediment transport joins the Weihe River in the reach and the sediments are settled due to reduction of flow velocity here. A large quantity of settled sediments block the channel, which causes flooding, and thus improving flood control capacity including nonstructural measures and engineering measures is the focus for the protection of this reach.For the reach of LX, pollutant of COD and the requirement rate of bankfull discharge are the most influential factors affecting health evaluation results. In general, the requirement rate of bankfull discharge was slightly more sensitive than COD to the river health (Table6). The reach is located in the downstream of Xi’an city, the capital of Shaanxi Province, and its water quality is very poor due to large amounts of sewage and waste discharged from Xi’an, and many organic pollutants from soil erosion of irrigated agriculture on both sides of the Weihe River. Water pollution control in Xi’an city is the key issue for water quality improvement in this reach. Reduction of riverbed gradient has resulted in sedimentation settlement, which is the most important reason that led to insufficient requirement rate of bankfull discharge. Another reason for river channel recession is that low peak flows in recent years have not effectively scoured the river channel. These analyses suggest that the river water quality management and river regulation are the most fundamental concerns for river protection and exploitation in the reach.For the reach of DH, each indicator directly impacts the results of comprehensive health assessment to some extent (Table6), which suggests that each of these indicators has a certain sensitivity degree to the river health evaluation results in this reach. The sensitive indices in Table 6 display that COD, the ratio of wetland area, and the variation rate of the streambed gradient have large impacts on the comprehensive evaluation results of river health in this reach, among which the variation rate of the stream gradient has the largest impacts. The sediment deposition in the lower Weihe River has been cumulating over 1.3 billion m3 since the Sanmenxia Reservoir was operated in 1960s [24]. Riverbed sedimentation, river channel shrink, and raising of Tongguan elevation every year have gradually reduced the variation rate of the riverbed gradient from 1/5000 before the construction of the reservoir to 1/6000. Difficult sediment transport, pollutant discharge, and exacerbating flood and related wetland loses are the major problems that this reach is facing, which are all caused by the reduction of variation rate of the stream gradient.


## 5. Conclusions

River health is an indicator of the harmony between human and water resources; therefore river health assessment is an important tool for human to develop, utilize, and manage the river in a sustainable way. This study applied a hybrid approach combining AHP and fuzzy comprehensive evaluation to calculate the river health of the Weihe River in China. The results reveal that the reaches of LW and WX were in the “moderate” level of health, and the reaches of LH and DH were in the “poor” health rating, whereas the reach of XL was in the “sick” rating. The key factors which influence the river health are the guaranteed rate of discharge in the dry flow season, water quality, capacity of flood discharge, requirement rate of bankfull discharge, and variation rate of streambed gradient, respectively, for each reach from upper stream to lower stream in the study area.Many factors in the evaluation process affect the results of river health assessment in varying degrees, such as indicator chosen, index weight determination, basis of reference, and evaluation methods. There are various factors affecting river health, which mainly include natural factors and human disturbance. Natural factors mainly include precipitation decrease, significant reduction in vegetation, and severe soil erosion in the Guanzhong area, which have increased the pressure on flood control in the downstream. As for human disturbance, great increasing of water demand due to rapid development of industry and agriculture and population growth in recent years has greatly aggravated the situation of insufficient river baseflow and even caused river blanking in parts of reaches, which has reduced stream’s self-purification capacity and exacerbated water pollution. In general, river health is more intensely affected by human activities, and thus more attention should be paid in aspects of planning water use, water saving, water protection, and promoting harmony between human and water.The health of the Weihe River is closely related to the benefits of local people in the river basin, and thus the aspects of a healthy river that supplies their basic living needs should be fully investigated and incorporated in the evaluation system. Their concepts and choice of a healthy river are affected by the socioeconomic development situation and their education and awareness. The expectation of river health from local people according to their living needs and so on requires more comprehensive social and economic studies; therefore, it is not included in this study.



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*Source: 476020-2015-10-04.xml*