1. Introduction
Water, energy and food are important resources for the economic and social sustainable development. They are highly interconnected and affect each other directly and indirectly [
1]. Water is used for the production and exploitation of energy and food; energy is consumed in the development and processing of water and food; food can be used to make biological energy [
2]. In the context of global population growth, climate warming, environmental degradation, and lack of resources, China’s industrialization and urbanization are accelerating. As a result, China’s water resources have decreased, energy demand has increased, and the uncertainty of food supply has become more serious [
3]. The W-E-F system is a complex coupling system. The relationship between the three subsystems of mutual influence, mutual restriction, coordination and vulnerability has become increasingly prominent. The nexus of water resources, energy and food have attracted the attention of scholars and relevant departments. Research on W-E-F system has become an important topic in the field of sustainable development [
4].
Vulnerability, as an important research object, has been put on the research agenda by international scientific programs and institutions such as IHDP, IPCC, IGBP [
5,
6,
7]. It has become the frontier and hotspot of global environmental change and sustainable scientific research. In 1999, the United Nations Development Programme (UNDP) formally put forward the concept of “economic vulnerability” [
8]. After that, the research object of vulnerability has gradually expanded from the natural ecological environment system to the complex system which includes the natural, social, economic and institutional factors. Cutter [
9] summarized the related concepts of vulnerability, pointing out that social vulnerability is a natural risk and social response within a specific region or geographical scope, and stressing the imbalance of social preparedness, response, recovery and adaptation to disasters. The United Nations International Strategy for Disaster Reduction (UNISDR) defined vulnerability as the extent to which the attributes of communities, systems or property and the environment are damaged by disaster-causing factors. It was considered that vulnerability was related to various natural, social, economic and environmental factors, and has certain temporal and spatial attributes [
10]. Chen et al. [
11] indicated that social vulnerability influenced people’s ability to make full pre-disaster preparations under the pre-existing conditions, and to recover from post-disaster reconstruction. Füssel [
12] thought the vulnerability is the degree of damage or threat of adverse effects to the system and classified the vulnerability into two categories, namely, social vulnerability and physical vulnerability. Social vulnerability referred to the ability of social system to respond to disasters. Physical vulnerability was the loss of disaster-bearing body caused by disaster. As a comprehensive concept, vulnerability contains related concepts such as risk, sensitivity, adaptability and resilience, which not only takes into account the influence of the internal conditions of the system on the system vulnerability, but also covers the interaction characteristics between the system and society, economy, institution, and other human factors. The vulnerability of the water-energy-food system is reflected in the tremendous pressure exerted by the subsystems of water resources, energy and food under the influence of the internal elements of the system and the external environment, as well as the lack of adequate response measures to eliminate the negative effects of these pressures. In this paper, the vulnerability of water-energy-food systems was divided into five levels, different level of vulnerability means different level of pressure and responsiveness to the system.
Some scholars have made some definitions of coordination according to different research objectives. Liu analyzed the degree of coordination of the tourism system and proposed that coordination referred to two or more systems working together in a harmonious and sustainable relationship [
13]. Yang studied the coordination degree of the urban land use system. In addition, he then used the coordination degree to measure whether the development of all subsystems and elements of urban land use system is reasonable and consistent [
14]. Wang thought the coordination degree can reflect the level of system development and better identify the coordinated evolution between subsystems [
15]. Sun used coordination degree model to study the coordination relationship between economic, social and environmental benefits, and then the coordination degree could reflect the synergies among systems [
16]. In this study, the coordination degree of water-energy-food system means the degree of harmony and consistency between the subsystems in the process of development and evolution. The higher the coordination degree of W-E-F system is, the more harmonious of each subsystem is. The lower the coordination degree of W-E-F system is, the lower the development level of each subsystem is. The relationship between vulnerability and coordination is the interaction of unity and opposites. The vulnerability of the water-energy-food system is reflected in the high pressure of the system and the weak adaptability of the system when exposed to the environment. The coordination of the water-energy-food system is mainly manifested in the consistency of the development level among the internal subsystems. The vulnerability of the water-energy-food system can only reflect the development status of the system, but cannot reflect the relationship between the various subsystems and whether the development is harmonious. The coordination degree of water-energy-food system is calculated on the basis of the comprehensive vulnerability index values of each subsystem, which reflects whether the development of water resources, energy and food subsystems are consistent. To improve the coordination degree of the W-E-F system, the subsystems of water, energy and food must reduce the vulnerability respectively. The ultimate goal of studying vulnerability is to realize the coordination and sustainable development of each subsystem.
Traditional vulnerability assessment methods can be divided into three categories, qualitative evaluation, quantitative evaluation, and qualitative combined with quantitative. At present, the more commonly used methods are AHP, fuzzy comprehensive evaluation, principal component analysis, cloud model, matter element model, etc. Ouma et al. [
17] used Analytical Hierarchy Process (AHP) method to assign decision parameters’ weights for creating a flood vulnerability distribution map. Hahn et al. [
18] adopted the fuzzy comprehensive evaluation method to estimate the vulnerability of climate change in the Mapo and Moma regions of Mozambique. However, AHP and fuzzy comprehensive evaluation method use expert scoring to assign weights to indices, which are subjective. Cutter et al. [
19] used principle component analysis to aggregate county level socio-economic data to assess the social vulnerability of different municipalities in US. The principal component analysis is prone to lack of information. Based on the MOVE framework, Depietri et al. [
20] used GIS to evaluate the relative vulnerability of heat wave in 85 Cologne regions, this method is not very practical. Wang et al. [
21] adopted the cloud model and attribute identification theory to dynamically evaluate the vulnerability of environment-economy system in Tongling city of China. Cloud models cannot describe the characteristics of things very well. Wang et al. [
22] evaluated the vulnerability of the ecological environment in Jilin province of China based on the matter element model. This method does not take into account the fuzziness of the boundary of vulnerability classification. The process of system vulnerability assessment is full of uncertainty such as randomness, fuzziness and incompleteness. Based on this, this paper used cloud-matter element model to evaluate the vulnerability level of water-energy-food system. The cloud-matter element model is improved on the basis of the matter element model proposed by Professor Li of China [
23]. It is the combination of cloud model and matter element model. The traditional matter element model does not consider the fuzziness of the classification interval when evaluating vulnerability level, but the cloud model has this advantage. Therefore, cloud model is integrated into the matter-element model to form the cloud-matter element model. Cloud-matter element model considers the ambiguity and uncertainty of grading boundary in the process of evaluating and classifying objects, so that the result of calculation is more accurate. At present, many scholars established cloud-matter element model for grade evaluation. Tian [
24] assessed seismic serviceability of water supply network based on cloud-matter element model. Dai et al. [
25] used cloud-matter element model to evaluate information security risk. Sun et al. [
26] used the cloud-matter element model to evaluate the green grade of the car passenger station. Liu et al. [
27] adopted the cloud-matter element model to evaluate the risk grade of flood disaster. Zheng et al. [
28] identified the main external risk factors of overseas mining project based on cloud-matter element model. Thus, this paper proposes a water-energy-food system vulnerability level assessment method based on the cloud-matter element model.
The coordination degree model was proposed by Liao [
29], which has been widely used to evaluate the coordination degree between two or more subsystems. The coordination degree model is a good representation of the degree of consistency in the development of individual subsystems. In this paper, the coordination model is to use mathematical expressions to relate the various subsystems together based on the calculation of the comprehensive vulnerability index value of each subsystems and W-E-F system and finally to calculate the coordination degree of the water-energy-food system. At present, the coordination degree model has been applied in many fields. Ding et al. [
30] used coordination degree model to study the coordination relationship between urbanization and air-environment in Hunan, China. Liu et al. [
31] took coordination degree model to calculate the coordination degree of the economy-society-ecology system. Zhao et al. [
32] adopted coordination degree model to study the coordination of sea-land system in Hainan province of China. Tang [
33] evaluated coordination degree of tourism-environment system based on coordination degree model. Yang et al. [
34] took Hunan province of China as the research object and calculated the coordination degree of the ecology-economy-society system by using the coordination degree model. Some scholars studied the vulnerability and coordination of two or more systems. Yang [
35] evaluated the vulnerability and coordination of flood system based on fuzzy comprehensive evaluation and coordination degree model. Peng et al. [
36] adopted fuzzy comprehensive evaluation method and coordination degree model to evaluate the vulnerability and coordination of marine eco-economic system in coastal areas of China. Chen et al. [
37] took the eastern part of Heilongjiang province in China as the research object to study the vulnerability and coordination of the coupling system of urbanization and ecological environment. Chen et al. [
38] studied the vulnerability and coordination mechanism of the coupling system of urbanization and eco-environment. Zhang [
39] evaluated the vulnerability and coordination of urban ecosystems in China. Wan et al. [
40] studied the coordination degree of economy-environment system from the perspective of vulnerability.
PSR [
41] (pressure-state-response) model can comprehensively consider social, economic, natural and environmental factors, providing a theoretical framework for the vulnerability and coordination evaluation system. It answers three basic questions about sustainable development: “what happened, why it happened, and how we will do it”. The model distinguishes three kinds of indicators, namely, pressure index, state index and response index. Among them, the pressure index represents the effect of human economic and social activities on the environment, the state index represents the environmental state and environmental changes in a specific period of time, and the response index refers to how society and individuals can act to mitigate, prevent, restore and prevent the negative impact of human activities on the environment. Various factors should be taken into account in building the evaluation index system of vulnerability and coordination. We need to take into account both the current state of the system and the pressures of human activities on the system and the measures taken by humans to remedy the deterioration of the system environment. When the state of the system is poor, human activities have a greater pressure on the system and do not take good measures to improve this situation, which is reflected in the vulnerability of the system. When each subsystem is in good condition and under little pressure from human or society, and human or society takes sufficient measures to improve the conditions of each subsystem of water, energy and food, this reflects the coordination of each subsystem. Thus, from the perspective of system theory, the dynamic development process of vulnerability and coordination of water-energy-food system conforms to the PSR model. That is, external factors exert pressure on the system, constitute stimulus inputs, and the system changes in state (positive or negative effects), the results of which respond in some form, showing the vulnerability or coordination of the system.
At present, studies on the vulnerability of water-energy-food system are very few, and studies on the co-evolution of the vulnerability and coordination of water-energy-food system are poor. The study of vulnerability and coordination is conducive to the comprehensive discovery of the problems of water-energy-food sustainable development. The main factors influencing the development of water-energy-food system are found. We will explore the relationship between the regional water resources, energy and food subsystems, and whether the development of each subsystem is consistent. Based on this, some concrete countermeasures are proposed to promote the coordinated development of regional water-energy-food system and further promote regional economic development. The motivation of this paper is to construct an evaluation index system based on PSR theoretical framework. The weight of each index is calculated by entropy weight method. The vulnerability index of water-energy-food system was classified by cloud matter element model. The comprehensive vulnerability index values of each subsystem or water-energy-food complex system were obtained by simple linear weighting. Based on this, the coordination degree of W-E-F system was calculated by the coordination degree model. In addition, then the comprehensive vulnerability index and coordination degrees of W-E-F system were compared on the space. The research can provide theoretical framework and technical support for the comprehensive management and sustainable development of resources in Northwest China in the future. The paper is organized as follows.
Section 2 introduces the study area.
Section 3 describes the data and methods. The main results and analysis are presented in
Section 4.
Section 5 gives the discussion and conclusions of the study.
5. Discussion and Conclusions
5.1. Conclusions
In this paper, the vulnerability and coordination evaluation index system of the W-E-F system in Northwest China was constructed based on PSR model. Then, the vulnerability and coordination of the W-E-F system in Shaanxi, Gansu, Qinghai, Ningxia and Xinjiang were evaluated by the cloud-matter element model and the coordination degree model, respectively. From the empirical results, the vulnerability and coordination of the W-E-F system was consistent with the actual situation.
- (1)
The evaluation result of vulnerability level of the W-E-F system showed that the vulnerability levels of the five provinces in Northwest China were mainly Level 1, that is, highest vulnerability. The change trend of vulnerability level can be divided into two stages. From 2007 to 2011, the vulnerability levels have gradually become better. However, the vulnerability has begun to decline from 2012 to 2014. In 2015, the vulnerability has increased slowly. Generally speaking, the water-energy-food system in Northwest China was more vulnerable and the sustainable development of economy was seriously hindered.
- (2)
The change types of the comprehensive vulnerability index values of water resources, energy and food subsystems were different, but the comprehensive vulnerability index values of water-energy-food system were on the rise. The comprehensive vulnerability index value of water resources subsystem was the lowest. The comprehensive vulnerability index value of the energy subsystem was the highest and the volatility was strong. The comprehensive vulnerability index values of the food subsystem were declining steadily, mainly because the urbanization level was gradually increasing. Among the five provinces, Shaanxi has the highest comprehensive vulnerability index values of W-E-F system, while Gansu has the lowest.
- (3)
There was a correlation between the changes in the comprehensive vulnerability index values of the three subsystems. Through the comparison coefficient between the subsystems, we can find that the development degree of each subsystem is quite different. In addition, the development of one subsystem may be impeded to the development of another subsystem. For example, the comprehensive vulnerability index values of water resources system in Northwest china were the lowest, with the declining of the comprehensive vulnerability index values of water resources, the other two subsystems also had a downward trend. Improving the development of water resources in Northwest China is one of the most important steps to promote the coordinated development of water-energy-food system.
- (4)
The Evaluation results of the coordination degree showed that the coordination degree of water resources, energy and food belonged to the class of near coordination (II4) in most years, the low coordination (II5) ranked second. It indicates that the development of water resources, energy and food subsystems were uneven. The lagging of water resources was the main reason that affected the coordination degree of W-E-F system. The coordination degrees of each province were not changed greatly, in general they had a good trend, but they did not reach the coordinated development class (III). Raising the development level of each subsystem is helpful to the sustainable development of the economy.
- (5)
By comparing the comprehensive vulnerability index value distribution map and the coordinated degree distribution map of the water-energy-food system, we can find that the comprehensive vulnerability index value and coordination degree do not match well. The areas with high comprehensive vulnerability index value of water-energy-food system did not necessarily have high coordination degree. The comprehensive vulnerability index values of each subsystem need to be further promoted to improve the coordination degree of W-E-F system.
5.2. Discussion
It can be seen from the growth trend and fluctuation rule of vulnerability and coordination that the leading factors restricted the coordinated development of water resources, energy and food in different periods are different. However, the low comprehensive vulnerability index of water resource is the weak link in the process of water-energy-food system coordination evolution. The water shortage is the main reason for the low water comprehensive vulnerability index. Furthermore, agricultural irrigation and energy exploitation and processing need consume a large amount of water. As the water shortage is the principal contradiction in the coordinated development of water-energy-food in Northwest China, and the water shortage is an objective problem, we can only adopt auxiliary measures to adapt to the pressure brought by the water shortage. Therefore, we should adopt water-saving measures to improve the situation of water shortage. Therefore, we should take water-saving measures to improve the use rate of water resources, thereby reducing the vulnerability of the water-energy-food system, and improving the coordination of the water-energy-food system in the Northwest region. The specific water-saving measures were shown as follows.
(1) The exploitation and processing of energy requires a large amount of water resources, and the low efficiency of energy processing and conversion and Unit GDP energy consumption in Northwest China lead to the shortage of water resources. We should further optimize the industrial layout, adjust the structure of energy consumption, improve the efficiency of energy use, and reduce the water consumption in all energy production links. The industrial water saving measures can be divided into two categories, namely, technology measures and management measures. Technical measures include: First, establish and improve the recycling water system, which aims to increase the reuse rate of industrial water. The higher the reuse rate of water use, the less water is used and consumed, and the production of industrial sewage decreases accordingly, which can greatly reduce the pollution of water environment and alleviate the pressure of water supply and demand. Second, the production technology and water use technology should be reformed. The main technologies include: the use of new water-saving technology; the use of pollution-free or less pollution technology; and the promotion of new water-saving devices. The main management measures are as follows. First, quicken the pace of tax reform, optimize the management mechanism, and gradually establish a water management system with unified management and integrated operation of source water, water system, water supply, drainage and sewage treatment; Second, the supervision and inspection of water balance test should be done well to improve the water efficiency of enterprises. Third, implement the incentive mechanism of “saving prize, overusing price increase, waste punishment”.
(2) Food requires a lot of irrigation water in the process of planting and the agricultural irrigation efficiency in Northwest area is not high. The shortage of water resources will hinder the development of food, and thus reduce the coordination degree of water-energy-food system. Relevant government departments should pay attention to improve irrigation infrastructure and reduce irrigation water. Firstly, reduce the loss of water transportation and carry out the improvement of irrigation canal system. The main method is to popularize lining of channels and low pressure pipe water conveyance technology; Secondly, improve the efficiency of field water use and introduce advanced ground water-saving irrigation technologies, such as film irrigation and small furrow irrigation; Thirdly, fully storage and rationally use local water resources and develop in situ irrigation, we should implement rainwater gathering irrigation project and make full use of precipitation resources; Finally, implement comprehensive agricultural technical measures to improve water use. For example, choose cold-resistant crops and water-saving varieties, use farming technology of reasonable fertilization and fertilizer transfer water and so on.