Inexact Chance-Constrained Waste-Load Allocation Model for Water Quality Management of Xiangxihe River

AbstractIn this study, an inexact chance-constrained waste-load allocation (ICWA) model is proposed for supporting river quality management under uncertainty that is capable of addressing uncertainties expressed as intervals and probability distributions as well as analyzing the reliability of satisfying (or the risk of violating) various constraints. The ICWA model is then applied to water quality management of the Xiangxihe River in the Three Gorges Reservoir Region, which faces severe water quality problems due to point and nonpoint source pollution. The results demonstrate that higher biological oxygen demand (BOD) discharge amounts are observed at the Baishahe chemical plant and Gufu wastewater treatment plant. Moreover, total phosphorus discharges into the river come mainly from point sources, particularly the chemical plants and phosphorus mining companies. For nonpoint sources, crop farming generates large amounts of total phosphorus and total nitrogen. Tradeoffs between economic benefits and syst...

[1]  Pu Li,et al.  Chance constrained programming approach to process optimization under uncertainty , 2008, Comput. Chem. Eng..

[2]  Gordon H. Huang,et al.  Planning water resources management systems using a fuzzy-boundary interval-stochastic programming method , 2010 .

[3]  S. Park,et al.  Waste load allocation for a macrophyte growing impoundment: A combined modeling approach , 1996 .

[4]  Gordon H. Huang,et al.  IPWM: AN INTERVAL PARAMETER WATER QUALITY MANAGEMENT MODEL , 1996 .

[5]  V. Uygur,et al.  Estimating spatial distribution of soil loss over Seyhan River Basin in Turkey , 2007 .

[6]  Gordon H. Huang,et al.  An integrated fuzzy-stochastic modeling approach for risk assessment of groundwater contamination. , 2007, Journal of environmental management.

[7]  A. Ravindran,et al.  A multiobjective chance constrained programming model for supplier selection under uncertainty , 2011 .

[8]  G. H. Huang,et al.  A hybrid inexact-stochastic water management model , 1998, Eur. J. Oper. Res..

[9]  Richard R. Horner,et al.  Declining lake sediment phosphorus release and oxygen deficit following wastewater diversion , 1986 .

[10]  Karen C. Rice,et al.  Evaluation of Bayesian Estimation of a Hidden Continuous-Time Markov Chain Model with Application to Threshold Violation in Water-Quality Indicators , 2012 .

[11]  J. Fox,et al.  Sediment Fingerprinting: Review of the Method and Future Improvements for Allocating Nonpoint Source Pollution , 2009 .

[12]  Bing Chen,et al.  An Interval-Parameter Waste-Load-Allocation Model for River Water Quality Management Under Uncertainty , 2009, Environmental management.

[13]  M. Selman,et al.  Water Quality Trading Programs : An International Overview , 2009 .

[14]  Shinichiro Ohgaki,et al.  Chance Constrained Model for River Water Quality Management , 1987 .

[15]  G H Huang,et al.  An inexact chance-constrained programming model for water quality management in Binhai New Area of Tianjin, China. , 2011, The Science of the total environment.

[16]  Douglas A. Haith Environmental systems optimization , 1982 .

[18]  Wei Xiang,et al.  Land use change and causes in the Xiangxi catchment, Three Gorges Area derived from multispectral data , 2010 .

[19]  J. Stedinger,et al.  Water resource systems planning and analysis , 1981 .

[20]  M. C. Kirnbauer Allocating Urban Agricultural Reuse Strategies to Inventoried Vacant and Underutilized Land , 2012 .

[21]  Mark M. Benjamin,et al.  A review and reassessment of lake phosphorus retention and the nutrient loading concept , 2007 .

[22]  Ben White,et al.  Probabilistic programming for nitrate pollution control: Comparing different probabilistic constraint approximations , 2003, Eur. J. Oper. Res..

[23]  Zhou Xiao The Comparison of the Environmental Capacity Calculation Methods , 1999 .

[24]  G. Huang,et al.  Simulation-based inexact chance-constrained nonlinear programming for eutrophication management in the Xiangxi Bay of Three Gorges Reservoir. , 2012, Journal of environmental management.

[25]  Gordon H. Huang,et al.  Two-stage planning for sustainable water-quality management under uncertainty. , 2009, Journal of environmental management.

[26]  A. Charnes,et al.  Chance-Constrained Programming , 1959 .

[27]  Tong Jiang,et al.  Hydrological modeling of River Xiangxi using SWAT2005: A comparison of model parameterizations using station and gridded meteorological observations , 2010 .

[28]  Yong Liu,et al.  Inexact Chance-Constrained Linear Programming Model for Optimal Water Pollution Management at the Watershed Scale , 2008 .

[29]  Vladimir Novotny,et al.  Simplified Databased Total Maximum Daily Loads, or the World is Log-Normal , 2004 .

[30]  J. Cho,et al.  Waste load allocation for water quality management of a heavily polluted river using linear programming. , 2003, Water science and technology : a journal of the International Association on Water Pollution Research.

[31]  Berit Hasler,et al.  Distributional Assumptions in Chance-Constrained Programming Models of Stochastic Water Pollution , 2010 .

[32]  Giorgio Mannina,et al.  Uncertainty Assessment of a Water-Quality Model for Ephemeral Rivers Using GLUE Analysis , 2011 .

[33]  Jeanne S. Yulianti,et al.  Waste-Load Allocation Using Genetic Algorithms , 2001 .

[34]  Guohe Huang,et al.  Robust optimisation for inexact water quality management under uncertainty , 2008 .

[35]  Qinghua Cai,et al.  The influence of topography and land use on water quality of Xiangxi River in Three Gorges Reservoir region , 2009 .

[36]  Guohe Huang,et al.  Development of an Interval-Based Evacuation Management Model in Response to Nuclear-Power Plant Accident , 2012 .

[37]  Yeou-Koung Tung,et al.  Multiple-objective waste load allocation , 1989 .

[38]  G H Huang,et al.  Optimization of regional economic and environmental systems under fuzzy and random uncertainties. , 2011, Journal of environmental management.

[39]  Waste load allocation for conservative substances to protect aquatic organisms , 1992 .

[40]  Peter A. Vanrolleghem,et al.  RIVER WATER QUALITY MODELLING : I . STATE OF THE ART , 1998 .

[41]  Li Fengqing,et al.  Dynamics of main nutrient input to Xiangxi Bay of the Three-Gorges Reservoir , 2008 .

[42]  J. Dao Hydrodynamic characteristics of Xiangxi Bay in Three Gorges Reservoir , 2010 .

[43]  Huan Ma,et al.  Comparison of Two Models for Calculating Water Environment Capacity of Songhua River , 2010, LSMS/ICSEE.

[44]  S. M. Wu,et al.  An interactive inexact-fuzzy approach for multiobjective planning of water resource systems , 1997 .

[45]  Chang-Ying Fu,et al.  The research of phosphorus of Xiangxi River nearby the Three Gorges, China , 2006 .

[46]  Curtis M. Oldenburg,et al.  Linear and Monte Carlo uncertainty analysis for subsurface contaminant transport simulation , 1997 .

[47]  Gordon H. Huang,et al.  An Inexact Chance-constrained Quadratic Programming Model for Stream Water Quality Management , 2009 .

[48]  Haizhou Li,et al.  A Simulation-Based Optimization Approach for Water Quality Management of Xiangxihe River Under Uncertainty , 2012 .

[49]  M. Isabirye,et al.  Prediction of soil erosion in a Lake Victoria basin catchment using a GIS-based Universal Soil Loss model , 2003 .

[50]  S. Murty Bhallamudi,et al.  Non-Uniform Flow Effect on Optimal Waste Load Allocation in Rivers , 2006 .

[51]  Y. P. Li,et al.  A multistage fuzzy-stochastic programming model for supporting sustainable water-resources allocation and management , 2009, Environ. Model. Softw..

[52]  N. Fohrer,et al.  Using a simple model as a tool to parameterise the SWAT model of the Xiangxi river in China , 2009 .

[53]  M Karamouz WASTE-LOAD ALLOCATION MODEL FOR SEASONAL RIVER WATER QUALITY MANAGEMENT: APPLICATION OF SEQUENTIAL DYNAMIC GENETIC ALGORITHMS , 2005 .

[54]  G. Huang,et al.  A Robust Two-Step Method for Solving Interval Linear Programming Problems within an Environmental Management Context , 2012 .

[55]  Guohe Huang,et al.  A recourse-based nonlinear programming model for stream water quality management , 2012, Stochastic Environmental Research and Risk Assessment.