Skip to main content
SpringerLink
Log in

Multiobjective Calibration of Reservoir Water Quality Modeling Using Multiobjective Particle Swarm Optimization (MOPSO)

  • Published:
Water Resources Management Aims and scope Submit manuscript

Abstract

Water resource management encounters large variety of multi objective problems that require powerful optimization tools in order to fully characterize the existing tradeoffs between various objectives that can be minimizing difference between forecasted physical, chemical, and biological behaviors of model and measured data. Calibration of complex water quality models for river and reservoir systems may include conflicting objectives addressed by various combinations of interacting calibration parameters. Calibration of the two dimensional CE-QUAL-W2 water quality and hydrodynamic model is an excellent example where the model must be calibrated for both hydrodynamic and water quality behavior. The aim of the present study is to show how multiobjective particle swarm optimization (MOPSO) can be implemented for automatic calibration of water quality and hydrodynamic parameters of a 2-dimensional, hydrodynamic, and water quality models (CEQUAL-W2) to predict physical, chemical, and biological behaviors of a water body, and then focus on a relevant case study. So MOPSO is utilized to generate Pareto optimal solutions for two conflicting calibration objectives. A combined measure of thermal and reservoir water level is considered as the first calibration objective. The second objective is formulated to forecast the best physical, chemical, and biological behavior of the model. Realizing the strong interactions between water quality and hydrodynamic issues of water bodies and their dependencies on the same set of calibration parameters, the proposed multiobjective approach may provide a wide version of all possible calibration solutions for better decision making to select best solution from pareto front.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

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

Similar content being viewed by others

References

  • Afshar MH (2012) Large scale reservoir operation by constrained Particle Swarm Optimization algorithms. J Hydro Environ Res 6(1):75–87

    Article  Google Scholar 

  • Afshar A, Saadatpour M (2009) Reservoir eutrophication modeling, sensitivity analysis, and assessment; application to Karkheh Reservoir, Iran. J Environ Eng Sci 26(7):1227–1238. doi:10.1089/ees.2008.0319

    Article  Google Scholar 

  • Afshar A, Kazemi H, Saadatpour M (2011) Particle swarm optimization for automatic calibration of large scale water quality model (CE-QUAL-W2): application to Karkheh reservoir, Iran. Water Resour Manag 25(1):2613–2632

    Article  Google Scholar 

  • Baker T, Dycus D (2004) Use of monitoring information to identify and implement water quality improvement. National monitoring conference, Chattanooga, TN 17–20 May

  • Bozorg Haddad O, Afshar A, Mariño MA (2006) Honey-bees mating optimization (HBMO) algorithm: a new heuristic approach for water resources optimization. Water Resour Manag 20(5):661–680

    Article  Google Scholar 

  • Chang FJ, Chen L, Chang LC (2005) Optimizing the reservoir operating rule curves by genetic algorithms. Hydrol Process 19(11):2277–2289. doi:10.1002/hyp.5674

    Article  Google Scholar 

  • Chapra SC (1997) Surface water quality modeling. McGraw-Hill Co. Inc, Singapore

    Google Scholar 

  • Chung SW, Oh JK (2006) Calibration of CE-QUAL-W2 for a monomictic reservoir in a monsoon climate area. Water Sci Technol 54(11–12):29–37. doi:10.2166/wst.2006.841

    Google Scholar 

  • Clerc M, Kennedy J (2002) The particle swarm—explosion, stability, and convergence in a multidimensional complex space. IEEE Trans Evol Comput 6(1):58–73

    Article  Google Scholar 

  • Coello Coello CA, Pulido GT, Lechuga MS (2004) Handling multiple objective with particle swarm optimization. IEEE Trans Evol Comput 8(3):256–279

    Article  Google Scholar 

  • Cole TM, Wells SA (2000) CE-QUAl-W2: a two-dimensional, laterally averaged, hydrodynamic and water quality model, version 3.0. Instruction Report EL-2000. US Army Engineering and Research Development Center, Vicksburg

    Google Scholar 

  • Confesor RB Jr, Whittaker GW (2007) Automatic calibration of hydrologic models with multiobjective evolutionary algorithm and pareto optimization. J Am Water Resour Assoc (JAWRA) 43(4):981–989

    Article  Google Scholar 

  • Deb K (2001) Multi-objective optimization using evolutionary algorithms. John Wiley, New York

    Google Scholar 

  • Deb K, Goldberg DE (1989) An investigation of niche and species formation in genetic function optimization. In: Schaffer JD (ed) Proceedings of 3rd international conference genetic algorithms, San Mateo, CA, 42–50

  • Dehdari V, Oliver DS, Deutsch CV (2012) Comparison of optimization algorithms for reservoir management with constraints—a case study. J Pet Sci Eng 100:41–49

    Article  Google Scholar 

  • Deo MC (2011) Application of data driven methods in hydrology and hydraulics. International Conference on Managing River in the 21st century, Penang, Malaysia, 6–9 December 2011

  • Diogo PA, Fonseca M, Coelho PS, Mateus NS, Almeida MC, Rodrigues AC (2008) Reservoir phosphorous sources evaluation and water quality modeling in a transboundary watershed. Desalination, 10th IWA International Specialized Conference on Diffuse Pollution and Sustainable Basin Management, Istanbul, Turkey 226:200–214

  • Eberhart RC, Kennedy J (1995) A new optimizer using particle swarm theory. Proceedings Sixth Symposium on Micro Machine and Human Science, Nagoya Japan 39–43

  • Eckhardt K, Arnold JG (2001) Automatic calibration of a distributed catchment model. J Hydrol 251(1–2):103–109

    Article  Google Scholar 

  • Etemad-Shahidi A, Afshar A, Alikia H, Moshfeghi H (2009) Total dissolved solid modeling; Karkheh reservoir case example. Int J Environ Res 3:671–680

    Google Scholar 

  • Fallah-Mehdipour E, Bozorg Haddad O, Mariño MA (2011) MOPSO algorithm and its application in multipurpose multi reservoir operation. J Hydroinformatics 13(4):794–811

    Article  Google Scholar 

  • Gelda RK, Effler SW (2007) Testing and application of a two-dimensional hydrothermal model for a water supply reservoir: implication of sedimentation. Environ Eng Sci 6(1):73–84

    Article  Google Scholar 

  • Hayes DF, Labadie JW, Sanders TG, Brown JK (1998) Enhancing water quality in hydropower system operations. Water Resour Res 34(3):471–483. doi:10.1029/97WR03038

    Article  Google Scholar 

  • Iran Water and Power Company (2006) Technical and research report, phase I, reservoir eutrophication, modelling and management; application to Karkheh Reservoir

  • Isazadeh S, Tajrish M, Abrishamchi A, Ahmadi M (2005) Application of phosphorous simulation models to latian reservoir. J Water Wastewater 54:3–16

    Google Scholar 

  • Jalali MR, Afshar A, Mariño MA (2007) Multi-colony ant algorithm for continuous multi-reservoir operation optimization problem. Water Resour Manag 21(9):1429–1447

    Article  Google Scholar 

  • Kuo JT, Lung WS, Yang CP, Liu WC, Yang MD, Tang TS (2006a) Eutrophication modeling of reservoirs in Taiwan. Environ Model Softw 21:829–844

    Article  Google Scholar 

  • Kuo JT, Wang YY, Lung WS (2006b) A Hybrid neural-genetic algorithm for reservoir water quality management. Water Res 40(7):1367–1376

    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 Manage 115:189–197

    Article  Google Scholar 

  • Liu WC, Chen WB, Kimura N (2008) Impact of phosphorus load reduction on water quality in a stratified reservoir-eutrophication modeling study. Environ Monit Assess 159:393–406

    Article  Google Scholar 

  • Madsen H (2000) Automatic calibration of a conceptual rainfall–runoff model using multiple objectives. J Hydrol 235:276–288

    Article  Google Scholar 

  • Mahinthakumar G, Sayeed M (2005) Hybrid genetic algorithm-local search methods for solving groundwater source identification inverse problems. J Water Resour Plan Manag 131(1):45–57

    Article  Google Scholar 

  • Mohamadi H (2002) Two dimentional reservoir eutrophication modelling. M.Sc. thesis, Iran University of Science and Technology

  • Nielsen EJ (2005) Algal succession and nutrient dynamics in elephant butte reservoir. M.Sc. thesis, Brigham Young University

  • Sullivan AB, Round SA (2005) Modeling hydrodynamics, temperature, and water quality in Henry Hagg Lake, Oregon, 2000–3. http://pubs.usgs.gov/sir/2004/5261

  • Yongtai H, Lei L (2010) Multiobjective water quality model calibration using a hybrid genetic algorithm and neural network-based approach. J Environ Eng 136(10):1020–1031

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Civil Engineering, Iran University of Science and Technology, PO Box 16765-163, Narmak, Tehran, 16844, Iran

    Abbas Afshar

  2. Department of Civil Engineering, Portland State University, Portland, OR, USA

    Nasim Shojaei & Mahdi Sagharjooghifarahani

  3. Maseeh College of Engineering and Computer Science, The Northwest Center for Engineering, Science and Technology (Engineering Building), 1930 SW Fourth Avenue Suite 500, Portland, OR, 97201, USA

    Nasim Shojaei & Mahdi Sagharjooghifarahani

Authors
  1. Abbas Afshar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Nasim Shojaei
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Mahdi Sagharjooghifarahani
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Abbas Afshar.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Afshar, A., Shojaei, N. & Sagharjooghifarahani, M. Multiobjective Calibration of Reservoir Water Quality Modeling Using Multiobjective Particle Swarm Optimization (MOPSO). Water Resour Manage 27, 1931–1947 (2013). https://doi.org/10.1007/s11269-013-0263-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11269-013-0263-x

Keywords

Search

Navigation