Sustainability Analysis of the Water Environment Carrying Capacity of Harbin City Based on an Optimized Set Pair Analysis Posture-Deviation Coefficient Method Evaluation Model

To scientifically measure the water environment carrying capacity of Harbin City and its change trend, based on analysis of the implications of the sustainability of the urban water environment’s carrying capacity, an evaluation index system for the sustainability of the water environment carrying c...

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Main Authors: Nan Sun, Zhongbao Yao, Yunpeng Xie, Tianyi Wang, Jinzhao Yang, Xinyu Li, Qiang Fu
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Water
Subjects:
Online Access:https://www.mdpi.com/2073-4441/15/8/1575
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author Nan Sun
Zhongbao Yao
Yunpeng Xie
Tianyi Wang
Jinzhao Yang
Xinyu Li
Qiang Fu
author_facet Nan Sun
Zhongbao Yao
Yunpeng Xie
Tianyi Wang
Jinzhao Yang
Xinyu Li
Qiang Fu
author_sort Nan Sun
collection DOAJ
description To scientifically measure the water environment carrying capacity of Harbin City and its change trend, based on analysis of the implications of the sustainability of the urban water environment’s carrying capacity, an evaluation index system for the sustainability of the water environment carrying capacity of Harbin City was constructed. Most existing evaluation methods rely on static data to construct correlation functions between research objects and rank criteria, while the dynamic nature of the information is not considered enough. In this paper, we use hierarchical analysis (analytic hierarchy process, AHP) to determine the weights of each index of the system and then apply the projection tracing method (projection pursuit, PP) to optimize the determined weights. Combining the set pair analysis posture evaluation method and bias coefficients method to explore the dynamic balance mechanism between different index factor levels, a sustainability evaluation model for water environment carrying capacity integrating informational evolution is constructed. Finally, the applicability of the optimization model is tested by comparing the confidence criterion judging method. The model realizes quantitative evaluation of the carrying capacity of the urban water environment. It provides a new and effective means for accurate and reasonable determination of the coefficient of variance and the number of links and dynamic analysis of the water environment carrying capacity system and judgment of its sustainable development trend. The results show that the weight for water resource quality is 0.55, which is the subsystem with the greatest overall impact on the carrying capacity of the water environment in Harbin. The evaluation level of the set-to-potential eigenvalue for 2010–2017 is biased positive 2, and the rest of the years are quasi 2. The reduced value of the coefficient of oppositeness corresponding to the years 2010–2017 is more significant. The maximum value of the dynamic evolution of the load-carrying capacity level is nearly −0.35. From the vertical comparison of different levels, it is found that the water environment carrying capacity of Harbin City gradually recovered to the normal loadable level over time. This overall shows an improving trend.
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spelling doaj.art-3b5a8423ad5a43869613d4deaa3905522023-11-17T21:49:03ZengMDPI AGWater2073-44412023-04-01158157510.3390/w15081575Sustainability Analysis of the Water Environment Carrying Capacity of Harbin City Based on an Optimized Set Pair Analysis Posture-Deviation Coefficient Method Evaluation ModelNan Sun0Zhongbao Yao1Yunpeng Xie2Tianyi Wang3Jinzhao Yang4Xinyu Li5Qiang Fu6Key Laboratory of Efficient Use of Agricultural Water Resources, Ministry of Agriculture and Rural Affairs of the People’s Republic of China, Northeast Agricultural University, Harbin 150030, ChinaKey Laboratory of Efficient Use of Agricultural Water Resources, Ministry of Agriculture and Rural Affairs of the People’s Republic of China, Northeast Agricultural University, Harbin 150030, ChinaCollege of Water and Civil Engineering, Northeast Agricultural University, No. 600 Changjiang Road, Harbin 150030, ChinaKey Laboratory of Efficient Use of Agricultural Water Resources, Ministry of Agriculture and Rural Affairs of the People’s Republic of China, Northeast Agricultural University, Harbin 150030, ChinaSchool of Geography, Earth and Environmental Sciences, University of Birmingham, Edgbaston, Birmingham B152TT, UKCollege of Water and Civil Engineering, Northeast Agricultural University, No. 600 Changjiang Road, Harbin 150030, ChinaKey Laboratory of Efficient Use of Agricultural Water Resources, Ministry of Agriculture and Rural Affairs of the People’s Republic of China, Northeast Agricultural University, Harbin 150030, ChinaTo scientifically measure the water environment carrying capacity of Harbin City and its change trend, based on analysis of the implications of the sustainability of the urban water environment’s carrying capacity, an evaluation index system for the sustainability of the water environment carrying capacity of Harbin City was constructed. Most existing evaluation methods rely on static data to construct correlation functions between research objects and rank criteria, while the dynamic nature of the information is not considered enough. In this paper, we use hierarchical analysis (analytic hierarchy process, AHP) to determine the weights of each index of the system and then apply the projection tracing method (projection pursuit, PP) to optimize the determined weights. Combining the set pair analysis posture evaluation method and bias coefficients method to explore the dynamic balance mechanism between different index factor levels, a sustainability evaluation model for water environment carrying capacity integrating informational evolution is constructed. Finally, the applicability of the optimization model is tested by comparing the confidence criterion judging method. The model realizes quantitative evaluation of the carrying capacity of the urban water environment. It provides a new and effective means for accurate and reasonable determination of the coefficient of variance and the number of links and dynamic analysis of the water environment carrying capacity system and judgment of its sustainable development trend. The results show that the weight for water resource quality is 0.55, which is the subsystem with the greatest overall impact on the carrying capacity of the water environment in Harbin. The evaluation level of the set-to-potential eigenvalue for 2010–2017 is biased positive 2, and the rest of the years are quasi 2. The reduced value of the coefficient of oppositeness corresponding to the years 2010–2017 is more significant. The maximum value of the dynamic evolution of the load-carrying capacity level is nearly −0.35. From the vertical comparison of different levels, it is found that the water environment carrying capacity of Harbin City gradually recovered to the normal loadable level over time. This overall shows an improving trend.https://www.mdpi.com/2073-4441/15/8/1575water environment carrying capacityset pair analysis posture evaluation methodbias coefficients methodHarbinweight optimization
spellingShingle Nan Sun
Zhongbao Yao
Yunpeng Xie
Tianyi Wang
Jinzhao Yang
Xinyu Li
Qiang Fu
Sustainability Analysis of the Water Environment Carrying Capacity of Harbin City Based on an Optimized Set Pair Analysis Posture-Deviation Coefficient Method Evaluation Model
Water
water environment carrying capacity
set pair analysis posture evaluation method
bias coefficients method
Harbin
weight optimization
title Sustainability Analysis of the Water Environment Carrying Capacity of Harbin City Based on an Optimized Set Pair Analysis Posture-Deviation Coefficient Method Evaluation Model
title_full Sustainability Analysis of the Water Environment Carrying Capacity of Harbin City Based on an Optimized Set Pair Analysis Posture-Deviation Coefficient Method Evaluation Model
title_fullStr Sustainability Analysis of the Water Environment Carrying Capacity of Harbin City Based on an Optimized Set Pair Analysis Posture-Deviation Coefficient Method Evaluation Model
title_full_unstemmed Sustainability Analysis of the Water Environment Carrying Capacity of Harbin City Based on an Optimized Set Pair Analysis Posture-Deviation Coefficient Method Evaluation Model
title_short Sustainability Analysis of the Water Environment Carrying Capacity of Harbin City Based on an Optimized Set Pair Analysis Posture-Deviation Coefficient Method Evaluation Model
title_sort sustainability analysis of the water environment carrying capacity of harbin city based on an optimized set pair analysis posture deviation coefficient method evaluation model
topic water environment carrying capacity
set pair analysis posture evaluation method
bias coefficients method
Harbin
weight optimization
url https://www.mdpi.com/2073-4441/15/8/1575
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