Abstract
The implementation of the Beijing-Tianjin-Hebei coordinated development strategy promotes the rapid development of the regional economy, but the consequent water shortage has become a major concern. How to optimize the allocation of water resources, promote the cooperation of water resources among various water-using departments, and maximize the water efficiency of the limited water resources in the region has become the main issue of research. Thus, this paper mainly studies the entropy value and the entropy difference of the grey relational entropy between water resources and economic systems. First, use the grey correlation entropy method to calculate the existing data to explore the relationship between the two systems, then use the FGM(1, 1) model to predict the grey correlation entropy value of Beijing-Tianjin-Hebei in 2020–2024, and finally, calculate the entropy difference of the grey relation entropy for the region from 2015 to 2024. The results show the following: (i) The connection between the water resources system and the economic system in the Beijing-Tianjin-Hebei region is poor, the entropy value between the two will continue to decrease from 2015 to 2024, and the degree of coordination has shown a decreasing trend. (ii) The entropy change value between the water resources system and the economic system in the Beijing-Tianjin-Hebei region reflects a gradual and orderly change trend. The research results can provide reasonable suggestions for improving the correlation between water resources and economic systems for government departments, local residents, and industrial enterprises in the Beijing-Tianjin-Hebei region, ultimately realizing the sustainable development of water resources and economic systems.
Highlights
Grey relational analysis is one of the important contents of grey system theory, which is widely used in the research fields of society, economy, agriculture, ecology, and so on
Looking at the grey correlation entropy value ranking between the two systems from Table 8, it is found that the total amount of water supply in Beijing and the added value of several industries in the economic system rank fourth and fifth. e ranking of agricultural water consumption is only fourth, and the ranking of industrial added value and industrial water consumption turned out to be seventh
The optimal order is selected by the particle swarm algorithm, and the FGM(1, 1) is used to predict the grey entropy value of the economic system and water resources system in the BeijingTianjin-Hebei region. e results of the optimal order and MAPE value calculated by the particle swarm are shown in Table 13, and the detailed prediction data are shown in the following
Summary
As an important part of natural resources, water resources are a basic resource for human survival and an economic resource for social development [1]. E total water resources in the Beijing-Tianjin-Hebei region are 14.619 billion cubic meters. E Beijing-Tianjin-Hebei region carries 8% of the country’s population, 11% of the total economic output and 1% of water resources. E data in Table 2 shows that the total supply and water consumption of the Beijing-TianjinHebei region is 25.24 billion cubic meters, the total surface water is 10.41 billion cubic meters (accounting for 41.24%), and the total groundwater is 11.58 billion cubic meters (accounting for 45.88%). E rapid social and economic development and largescale population increase in the Beijing-Tianjin-Hebei region, the lack of water resources, the deterioration of the water environment, and the irrational distribution of water resources have become problems that restrict the sustainable development. Erefore, studying the correlation between the water resources system and the economic system in the Beijing-Tianjin-Hebei region has important research significance E rapid social and economic development and largescale population increase in the Beijing-Tianjin-Hebei region, the lack of water resources, the deterioration of the water environment, and the irrational distribution of water resources have become problems that restrict the sustainable development. is paper studies the correlation between the water resources system and the economic system of the BeijingTianjin-Hebei region, which helps to clarify the current degree of connection between the water resources and the economic system in the Beijing-Tianjin-Hebei region, so as to make reasonable suggestions for the subsequent coordinated development of the Beijing-Tianjin-Hebei region. erefore, studying the correlation between the water resources system and the economic system in the Beijing-Tianjin-Hebei region has important research significance
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