Skip to main content
Log in

A robust simulation–optimization modeling system for effluent trading—a case study of nonpoint source pollution control

  • Research Article
  • Published:
Environmental Science and Pollution Research Aims and scope Submit manuscript

Abstract

In this study, a robust simulation–optimization modeling system (RSOMS) is developed for supporting agricultural nonpoint source (NPS) effluent trading planning. The RSOMS can enhance effluent trading through incorporation of a distributed simulation model and an optimization model within its framework. The modeling system not only can handle uncertainties expressed as probability density functions and interval values but also deal with the variability of the second-stage costs that are above the expected level as well as capture the notion of risk under high-variability situations. A case study is conducted for mitigating agricultural NPS pollution with an effluent trading program in Xiangxi watershed. Compared with non-trading policy, trading scheme can successfully mitigate agricultural NPS pollution with an increased system benefit. Through trading scheme, [213.7, 288.8] × 103 kg of TN and [11.8, 30.2] × 103 kg of TP emissions from cropped area can be cut down during the planning horizon. The results can help identify desired effluent trading schemes for water quality management with the tradeoff between the system benefit and reliability being balanced and risk aversion being considered.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  • Ahmed S, Sahinidis NV (1998) Robust process planning under uncertainty. Ind Eng Chem Res 37(5):1883–1892

    Article  CAS  Google Scholar 

  • Arnold JG, Srinivasan R, Muttiah RS, Williams JR (1998) Large area hydrologic modeling and assessment—Part 1: Model development. J Am Water Resour Assoc 34:73–89

    Article  CAS  Google Scholar 

  • Atamtürk A, Zhang M (2010) Two-stage robust network flow and design under demand uncertainty. Oper Res 55(4):662–673

    Article  Google Scholar 

  • Beraldi P, Musmanno R, Triki C (2000) Solving stochastic linear programs with restricted recourse using interior point methods. Comput Optim Appl 15(3):215–234

    Article  Google Scholar 

  • Bossa AY, Diekkrüger B, Giertz S, Steup G, Sintondji LO, Agbossou EK, Hiepe C (2012) Modeling the effects of crop patterns and management scenarios on N and P loadings to surface water and groundwater in a semi-humid catchment (West Africa). Agric Water Manag 115:20–37

    Article  Google Scholar 

  • Chen DJ, Lu J, Wang HL, Shen YN, Kimberley MO (2010) Seasonal variations of nitrogen and phosphorus retention in an agricultural drainage river in East China. Environ Sci Pollut Res 17(2):312–320

    Article  CAS  Google Scholar 

  • Chen C, Li YP, Huang GH, Zhu Y (2012) An inexact robust nonlinear optimization method for energy systems planning under uncertainty. Renew Energy 47:55–66

    Article  Google Scholar 

  • Cho JH, Sung KS, Ha SR (2004) A river water quality management model for optimising regional wastewater treatment using a genetic algorithm. J Environ Manag 73(3):229–242

    Article  Google Scholar 

  • Demirel MC, Venancio A, Kahya E (2009) Flow forecast by SWAT model and ANN in Pracana basin, Portugal. Adv Eng Softw 40(7):467–473

    Article  Google Scholar 

  • FitzHugh TW, Mackay DS (2000) Impacts of input parameter spatial aggregation on an agricultural nonpoint source pollution model. J Hydrol 236(1–2):35–53

    Article  CAS  Google Scholar 

  • Hamm V, Collon-Drouaillet P, Fabriol R (2008) Two modelling approaches to water-quality simulation in a flooded iron-ore mine (Saizerais, Lorraine, France): a semi-distributed chemical reactor model and a physically based distributed reactive transport pipe network model. J Contam Hydrol 96(1–4):97–112

    Article  CAS  Google Scholar 

  • Hao RX, Li SM, Li JB, Zhang QK, Liu F (2013) Water quality assessment for wastewater reclamation using principal component analysis. J Environ Inform 21(1):45–54

    Article  Google Scholar 

  • Holvoet K, van Griensven A, Seuntjens P, Vanrolleghem PA (2005) Sensitivity analysis for hydrology and pesticide supply towards the river in SWAT. Phys Chem Earth, Parts A/B/C 30(8–10):518–526

    Article  Google Scholar 

  • Hörmann G, Köplin N, Cai Q, Fohrer N (2009) Using a simple model as a tool to parameterise the SWAT model of the Xiangxi river in China. Quat Int 208(1–2):116–120

    Article  Google Scholar 

  • Kara SS, Onut S (2010) A two-stage stochastic and robust programming approach to strategic planning of a reverse supply network: the case of paper recycling. Expert Syst Appl 37(9):6129–6137

    Article  Google Scholar 

  • Kurek W, Ostfeld A (2013) Multi-objective optimization of water quality, pumps operation, and storage sizing of water distribution systems. J Environ Manag 115(30):189–197

    Article  CAS  Google Scholar 

  • Li YP, Huang GH (2009a) Two-stage planning for sustainable water-quality management under uncertainty. J Environ Manag 90(8):2402–2413

    Article  CAS  Google Scholar 

  • Li YP, Huang GH (2009b) Interval-parameter robust optimization for environmental management under uncertainty. Can J Civ Eng 36(4):592–606

    Article  Google Scholar 

  • Li FQ, Ye L, Liu RQ, Cao M, Cai QH (2008) Dynamics of main nutrient input to Xiangxi Bay of the Three-Gorge Reservoir. Acta Ecol Sin 28(5):2073–2079

    Article  CAS  Google Scholar 

  • Li FQ, Cai QH, Fu XC, Liu JK (2009) Construction of habitat suitability models (HSMs) for benthic macroinvertebrate and their applications to instream environmental flows: a case study in Xiangxi River of Three Gorges Reservior Region, China. Proc Natl Acad Sci U S A 19(3):359–367

    Google Scholar 

  • Li YP, Li W, Huang GH (2012) Two-stage inexact-probabilistic programming model for water quality management. Environ Eng Sci 29(7):713–725

    Article  CAS  Google Scholar 

  • Luo B, Maqsood I, Huang GH, Yin YY, Han DJ (2005) An inexact fuzzy two-stage stochastic model for quantifying the efficiency of nonpoint source effluent trading under uncertainty. Sci Total Environ 347(1–3):21–34

    Article  CAS  Google Scholar 

  • Mei Y, Bi YH, Hu ZY (2012) Environmental factors on release of phosphorus from submerged soils in xiangxi bay. Environ Sci Technol 35(3):11–15 (In Chinese)

    CAS  Google Scholar 

  • Mulvey JM, Vanderbei RJ, Zenios SA (1995) Robust optimization of large-scale systems. Oper Res 43(2):264–281

    Article  Google Scholar 

  • National Bureau of Statistics of China (2012) China statistical yearbook. China Statistical Press, Beijing (In Chinese)

    Google Scholar 

  • Neitsch SL, Arnold JG, Kiniry JR, Williams JR (2009) Soil and water assessment tool theoretical documentation, version 2009. Grassland, Soil and Research Service, Temple

  • Ranga Prabodanie RA, Raffensperger JF, Milke MW (2009) Simulation–optimization approach for trading point and non-point source nutrient permits. 18th World IMACS/MODSIM Congress 233–239

  • Rico-Ramirez V, Frausto-Hernandez S, Diwekar UM, Hernandez-Castro S (2007) Water networks security: a two-stage mixed-integer stochastic program for sensor placement under uncertainty. Comput Chem Eng 31(5–6):565–573

    Article  CAS  Google Scholar 

  • Schönbrodt-Stitt S, Bosch A, Behrens T, Hartmann H, Shi XZ, Scholten T (2013) Approximation and spatial regionalization of rainfall erosivity based on sparse data in a mountainous catchment of the Yangtze River in Central China. Environ Sci Pollut Res 20(10):6917–6933

    Google Scholar 

  • Shang X, Wang XZ, Zhang DL, Chen WD, Chen XC, Kong HN (2012) An improved SWAT-based computational framework for identifying critical source areas for agricultural pollution at the lake watershed scale. Ecol Model 226(10):1–10

    Article  CAS  Google Scholar 

  • Shen ZY, Gong YW, Li YH, Hong Q, Xu L, Liu RM (2009) A comparison of WEPP and SWAT for modeling soil erosion of the Zhangjiachong watershed in the Three Gorges Reservoir Area. Agric Water Manag 96(10):1435–1442

    Article  Google Scholar 

  • Song LX, Liu DF, Xiao SB (2011) Experimental study on nonpoint source nutrient output from Xiangxi watershed in Three Gorges Reservoir. Resour Environ Yangtze Watershed 20(8):990–996 (In Chinese)

    CAS  Google Scholar 

  • Suh SW, Kim JH, Hwang IT, Lee HK (2004) Water quality simulation on an artificial estuarine lake Shiwhaho, Korea. J Mar Syst 45(3–4):143–158

    Article  Google Scholar 

  • Ti CP, Yan XY (2013) Spatial and temporal variations of river nitrogen exports from major basins in China. Environ Sci Pollut Res 20(9):6509–6520

    Article  CAS  Google Scholar 

  • Unami K, Kawachi T (2003) Universal optimization of water quality management strategy. Adv Water Resour 26(4):465–472

    Article  CAS  Google Scholar 

  • Wang HF, Huang YS (2013) A two-stage robust programming approach to demand-driven disassembly planning for a closed-loop supply chain system. Int J Prod Res 51(8):2414–2432

    Article  Google Scholar 

  • Wang F, Wang X, Zhao Y, Yang ZF (2012) Long-term water quality variations and chlorophyll a simulation with an emphasis on different hydrological periods in Lake Baiyangdian, northern China. J Environ Inform 20(2):90–102

    Article  CAS  Google Scholar 

  • Ward FA, Pulido-Velázquez M (2008) Efficiency, equity, and sustainability in a water quantity–quality optimization model in the Rio Grande watershed. Ecol Econ 66(1):23–37

    Article  Google Scholar 

  • Watanabe T, Ellis H (1993) Robustness in stochastic programming models. Appl Math Model 17(10):547–554

    Article  Google Scholar 

  • Xu HM, Taylor RG, Kingston DG, Jiang T, Thompson JR, Todd MC (2010) Hydrological modeling of River Xiangxi using SWAT2005: a comparison of model parameterizations using station and gridded meteorological observations. Quat Int 226(1–2):54–59

    Article  Google Scholar 

  • Yang DF, Zenios SA (1997) A scalable parallel interior point algorithm for stochastic linear programming and robust optimization. Comput Optim Appl 7(1):143–158

    Article  Google Scholar 

  • Yang LP, Mei K, Liu XM, Wu LS, Zhang MH, Xu JM, Wang F (2013) Spatial distribution and source apportionment of water pollution in different administrative zones of Wen-Rui-Tang (WRT) River watershed, China. Environ Sci Pollut Res 20(8):5341–5352

    Article  CAS  Google Scholar 

  • Zhang C (2008) Distributed non-point sources pollution modeling and its application in Xiangxi watershed. Tsinghua University, Dissertation (In Chinese)

    Google Scholar 

  • Zhang W, Wang XJ (2002) Modeling for point–non-point source effluent trading: perspective of non-point sources regulation in China. Sci Total Environ 292(3):167–176

    Article  CAS  Google Scholar 

  • Zhang QC, Shamsi IH, Wang JW, Song QJ, Xue QY, Yu Y, Lin XY, Hussain S (2013) Surface runoff and nitrogen (N) loss in a bamboo (Phyllostachys pubescens) forest under different fertilization regimes. Environ Sci Pollut Res 20(7):4681–4688

    Article  CAS  Google Scholar 

  • Zhao XB, Fletcher JJ (2011) A spatial–temporal optimization approach to watershed management: acid minedrainage treatment in the Cheat River watershed, WV, USA. Ecol Model 222(9):1850–1591

    Google Scholar 

Download references

Acknowledgments

This research was supported by the National Natural Sciences Foundation (51379075, 51225904, and 51190095), the National Basic Research Program of China (2013CB430401), the 111 Project (B14008), and the Program for Innovative Research Team in University (IRT1127). The authors are grateful to the editors and the anonymous reviewers for their insightful comments and suggestions.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Y. P. Li.

Additional information

Responsible editor: Michael Matthies

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhang, J.L., Li, Y.P. & Huang, G.H. A robust simulation–optimization modeling system for effluent trading—a case study of nonpoint source pollution control. Environ Sci Pollut Res 21, 5036–5053 (2014). https://doi.org/10.1007/s11356-013-2437-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11356-013-2437-8

Keywords

Navigation