Technical Papers
Jan 30, 2014

Constructed Wetland Planning-Based Bilevel Optimization Model under Fuzzy Random Environment: Case Study of Chaohu Lake

Publication: Journal of Water Resources Planning and Management
Volume 141, Issue 3

Abstract

To optimize regional economies, social employment, and water quality protection, a multiobjective bilevel optimization model under a fuzzy random environment based on constructed wetland planning is developed in this study. Fuzzy random variables are used to describe the uncertainties in the system, and three special fuzzy random simulation methods are proposed to address the fuzzy random variable calculations. From the inherent bilevel model interaction, a new algorithm called the fuzzy random simulation-based nested genetic algorithm (FRS-based NGA) is designed as an intelligent solution to solve the model. Then, the model is applied to a real-world case: the Chaohu Lake watershed, China. The results under different objective values, probability levels, and possibility levels are compared so that an optimal scheme for regional economic development, social employment, and the wetland construction scale can be identified. Finally, the comparative analysis, sensitivity analysis, and convergence analysis are provided to illustrate the effectiveness of the proposed model and algorithm.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This research is supported by the Key Program of the National Natural Science Foundation of China (Grant No. 70831005), and also is supported by the Research Foundation of Ministry of Education for the Doctoral Program of Higher Education of China (Grant No. 20130181110063), the National Natural Science Foundation of China (Grant No. 71301109), and the Natural Science Foundation of Anhui Province (Grant No. KJ2011B140).

References

Arias, M. E., and Brown, M. T. (2009). “Feasibility of using constructed treatment wetlands for municipal wastewater treatment in the Bogotá Savannah, Colombia.” Ecol. Eng., 35(7), 1070–1078.
Azadeh, A., Neshat, N., and Hamidipour, H. (2012). “Hybrid fuzzy regression-artificial neural network for improvement of short-term water consumption estimation and forecasting in uncertain and complex environments: Case of a large metropolitan city.” J. Water Resour. Plann. Manage., 71–75.
Babatunde, A. O., Zhao, Y. Q., and Zhao, X. H. (2010). “Alum sludge-based constructed wetland system for enhanced removal of P and OM from wastewater: Concept, design and performance analysis.” Bioresour. Technol., 101, 6576–6579.
Babbar-Sebens, M., and Minsker, B. (2008). “Standard interactive genetic algorithm comprehensive optimization framework for groundwater monitoring design.” J. Water Resour. Plann. Manage., 538–547.
Bai, J., et al. (2011). “Assessment of heavy metal pollution in wetland soils from the young and old reclaimed regions in the Pearl River Estuary, South China.” Environ. Pollut., 159, 817–824.
Bakker, K. (2012). “Water security: Research challenges and opportunities.” Science, 337(6097), 914–915.
Bard, J. F. (1991). “Some properties of the bilevel programming problem.” J. Optim. Theory Appl., 68(2), 371–378.
Binder, K., and Heermann, D. W. (2010). Monte Carlo simulation in statistical physics: An introduction, Springer, Berlin.
Cai, X., McKinney, D. C., and Lasdon, L. (2001). “Solving nonlinear water management models using a combined genetic algorithm and linear programming approach.” Adv. Water Resour., 24, 667–676.
Cai, X., McKinney, D. C., and Lasdon, L. S. (2003). “Integrated hydrologic-agronomic-economic model for river basin management.” J. Water Resour. Plann. Manage., 4–17.
Cai, X., Vogel, R., and Ranjithan, R. (2013). “Special issue on the role of systems analysis in watershed management.” J. Water Resour. Plann. Manage., 139(5), 461–463.
Chan Hilton, A. B., and Culver, T. B. (2005). “Groundwater remediation design under uncertainty using genetic algorithms.” J. Water Resour. Plann. Manage., 25–34.
Collette, Y., and Siarry, P. (2003). Multiobjective optimization: principles and case studies, Springer, Berlin.
Dórner, S., Swayne, D. A., Rudra, R. P., and Newald, C. (2001). “Integrating parametric uncertainty and modeling results into an advisory system for watershed management.” Adv. Environ. Res., 5(4), 445–451.
Dougherty, D. E., and Marryott, R. A. (1991). “Optimal groundwater management: 1. Simulated annealing.” Water Resour. Res., 27(10), 2493–2508.
Ells, A., Bulte, E., and van Kooten, G. C. (1997). “Uncertainty and forest land use allocation in British Columbia: Vague priorities and imprecise coefficients.” Forest Sci., 43(4), 509–520.
Gen, M., and Cheng, R. (2000). Genetic algorithms and engineering optimization, Wiley, New York.
Ghadouani, A., and Coggins, L. X. (2011). “Science, technology and policy for water pollution control at the watershed scale: Current issues and future challenges.” Phys. Chem. Earth , 36, 335–341.
Gibbs, M. S., Dandy, G. C., and Maier, H. R. (2008). “A genetic algorithm calibration method based on convergence due to genetic drift.” Inf. Sci., 178(14), 2857–2869.
Gleick, P. H. (2002). “Water management: Soft water paths.” Nature, 418, 373.
Gleick, P. H. (2003). “Global freshwater resources: Soft-path solutions for the 21st century.” Science, 302, 1524–1528.
Green, M. B., and Martin, J. R. (1996). “Constructed reed beds clean up storm over flows on small waste water treatment works.” Water Environ. Res., 68(6), 1054–1060.
Healy, M. G., Rodgers, M., and Mulgreen, J. (2007). “Treatment of dairy wastewater using constructed wetland systems and intermittent sand filters.” Bioresour. Technol., 98, 2268–2281.
Hefei Municipal Government. (2007). “Lakeshore zone Tangxi River governance entered a substantive stage.” 〈http://www.hefei.gov.cn/n1070/n304590/n309481/n310081/1654313.html〉 (Mar. 25, 2014) (in Chinese).
Holland, J. H. (1975). Adaptation in natural and artificial systems, University of Michigan Press, Ann Arbor, MI.
Huang, G. H., and Loucks, D. P. (2000). “An inexact two-stage stochastic programming model for water resources management under uncertainty.” Civ. Eng. Environ. Syst., 17(2), 95–118.
Huang, I. B., Keisler, J., and Linkov, I. (2011). “Multi-criteria decision analysis in environmental sciences: Ten years of applications and trends.” Sci. Total. Environ., 409, 3578–3594.
Huang, X. P., Huang, L. M., and Yue, W. Z. (2003). “The characteristics of nutrients and eutrophication in the Pearl River estuary, South China.” Mar. Pollut. Bull., 47, 30–36.
Indraneel, D., and Dennis, J. E. (1997). “A closer look at drawbacks of minimizing weighted sums of objectives for Pareto set generation in multicriteria optimization problems.” Struct. Optim., 14(1), 63–69.
Juhani, K., and Silvennoinen, R. (1987). “Norm methods and partial weighting in multicriterion optimization of structures.” Int. J. Numer. Methods Eng., 24(6), 1101–1121.
Karmakar, S., and Mujumdar, P. P. (2007). “A two-phase grey fuzzy optimization approach for water quality management of a river system.” Adv. Water Resour., 30, 1218–1235.
Karpouzos, D. K., et al. (2001). “A multipopulation genetic algorithm to solve the inverse problem in hydrogeology.” Water Resour. Res., 37(9), 2291–2302.
Krishna, A. K., Satyanarayanan, M., and Govil, P. K. (2009). “Assessment of heavy metal pollution in water using multivariate statistical techniques in an industrial area: A case study from Patancheru, Medak District, Andhra Pradesh, India.” J. Hazard. Mater., 167, 366–373.
Kwakernaak, H. (1978). “Fuzzy random variables—I. Definitions and theorems.” Inf. Sci., 15(1), 1–29.
Kwakernaak, H. (1979). “Fuzzy random variables—II. Algorithms and examples for the discrete case.” Inf. Sci., 17(3), 253–278.
Le, C., Zha, Y., Li, Y., Sun, D., Lu, H., and Yin, B. (2010). “Eutrophication of lake waters in China: Cost, causes, and control.” J. Environ. Manage., 45(4), 662–668.
Lee, J. (1993). “New Monte Carlo algorithm: Entropic sampling.” Phys. Rev. Lett., 71(2), 211–214.
Li, J., Xu, J., and Gen, M. (2006). “A class of multiobjective linear programming model with fuzzy random coefficients.” Math. Comput. Model., 44, 1097–1113.
Li, Y. P., Huang, G. H., and Nie, S. L. (2011). “Optimization of regional economic and environmental systems under fuzzy and random uncertainties.” J. Environ. Manage., 92, 2010–2020.
Liu, D., Ge, Y., and Chang, J. (2009). “Constructed wetlands in China: Recent developments and future challenges.” Front. Ecol. Environ., 7(5), 261–268.
Liu, W., and Xu, J. (2010). “Some properties on expected value operator for uncertain variables.” Inf. Int. Interdiscip. J., 13(5), 1693–1699.
Liu, Y., Guo, H. C., Zhou, F., Qin, X. S., Huang, K., and Yu, Y. J. (2008). “Inexact chance-constrained linear programming model for optimal water pollution management at the watershed scale.” J. Water Resour. Plann. Manage., 347–356.
Lu, H. W., Huang, G. H., Lin, Y. P., and He, L. (2009). “A two-step infinite a-cuts fuzzy linear programming method in determination of optimal allocation strategies in agricultural irrigation systems.” Water Resour. Manage., 23(11), 2249–2269.
Luis, V., Savard, G., and Júdice, J. (1994). “Descent approaches for quadratic bilevel programming.” J. Optim. Theory Appl., 81(2), 379–399.
Makropoulos, C., Butler, D., and Maksimovic, C. (2003). “Fuzzy logic spatial decision support system for urban water management.” J. Water Resour. Plann. Manage., 69–77.
Moraes, M. M. G. A., Cai, X., Ringler, C., Albuquerque, B. E., Rocha, S. P. V., and Amorim, C. A. (2010). “Joint water quantity-quality management in a biofuel production area-integrated economic-hydrologic modeling analysis.” J. Water Resour. Plann. Manage., 502–511.
Muleta, M. K., and Nicklow, J. W. (2005). “Decision support for watershed management using evolutionary algorithms.” J. Water Resour. Plann. Manage., 131(1), 35–44.
Prasad, T. D., and Park, N. S. (2004). “Multiobjective genetic algorithms for design of water distribution networks.” J. Water Resour. Plann. Manage., 73–82.
Qu, J. H., and Fan, M. H. (2010). “The current state of water quality and technology development for water pollution control in China.” Crit. Rev. Environ. Sci. Technol., 40(6), 519–560.
Reed, S. C., and Brown, D. S. (1992). “Constructed wetland design: The first generation.” Water Environ. Res., 64(6), 776–781.
Saadatpour, M., and Afshar, A. (2007). “Waste load allocation modeling with fuzzy goals: Simulation-optimization approach.” Water Resour. Manage., 21(7), 1207–1224.
Shieh, H.-J., and Peralta, R. C. (2005). “Optimal in situ bioremediation design by hybrid genetic algorithm-simulated annealing.” J. Water Resour. Plann. Manage., 67–78.
Sohrabi, T. M., Shirmohammadi, A., and Chu, T. W. (2003). “Uncertainty analysis of hydrologic and water quality predictions for a small watershed using SWAT2000.” Environ. Forensics, 4(4), 229–238.
Su, S. L., Li, D., Zhang, Q., Xiao, R., Huang, F., and Wu, J. P. (2011). “Temporal trend and source apportionment of water pollution in different functional zones of Qiantang River, China.” Water Res., 45(4), 1781–1795.
Wu, C. F., et al. (2010). “Empirical estimation of total phosphorus concentration in the mainstream of the Qiantang River in China using landsat TM data.” Int. J. Remote Sens., 31(9), 2309–2324.
Xu, J., and Ding, C. (2011). “A class of chance constrained multiobjective linear programming with birandom coefficients and its application to vendors selection.” Int. J. Prod. Econ., 131, 709–720.
Xu, J., Tu, Y., and Zeng, Z. (2013). “Bi-level optimization of regional water resources allocation problem under fuzzy random environment.” J. Water Resour. Plann. Manage., 246–264.
Xu, J., and Wei, P. (2012). “A bi-level model for location-allocation problem of construction & demolition waste management under fuzzy random environment.” Int. J. Civ. Eng., 10(1), 1–12.
Xu, J., and Yao, L. (2009). “A class of expected value multi-objective programming problems with random rough coefficients.” Math. Comput. Model., 50, 141–158.
Xu, J., and Yao, L. (2011). Random-like multiple objective decision making, Springer-Verlag, Berlin.
Xu, J., and Zhou, X. (2009). “A multi-objective expected value decision-making model with birandom coefficients and its application to flow shop scheduling problem.” Inf. Sci., 179, 2997–3017.
Xu, J., and Zhou, X. (2011). Fuzzy-like multiple objective decision making, Springer-Verlag, Berlin.
Yang, Y., Xu, Z. C., Hu, K. P., Wang, J. S., and Wang, G. Z. (1995). “Removal efficiency of the constructed wetland: Wastewater treatment system at Bainikeng, Shenzhen, China.” Water Sci. Technol., 32(3), 31–40.
Yao, L., Xu, J., and Guo, F. (2012). “A stone resource assignment model under the fuzzy environment.” Math. Prob. Eng., 2012, 1–26.
Yulianti, J. S., Lence, B. J., and Johnson, G. V. (1999). “Non-point source water quality management under input information uncertainty.” J. Environ. Manage., 55(3), 199–217.
Zadeh, L. (1963). “Optimality and non-scalar-valued performance criteria.” IEEE Trans. Autom. Control, 8(1), 59–60.
Zhang, D. Q., Gersberg, R. M., and Tan, S. K. (2009). “Constructed wetlands in China.” Ecol. Eng., 35, 1367–1378.
Zhang, T., Xu, D., He, F., Zhang, Y. Y., and Wu, Z. B. (2012). “Application of constructed wetland for water pollution control in China during 1990-2010.” Ecol. Eng., 47, 189–197.

Information & Authors

Information

Published In

Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 141Issue 3March 2015

History

Received: Jan 25, 2014
Accepted: Jan 28, 2014
Published online: Jan 30, 2014
Discussion open until: Dec 14, 2014
Published in print: Mar 1, 2015

Permissions

Request permissions for this article.

Authors

Affiliations

Jiuping Xu, M.ASCE [email protected]
Professor, State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan Univ., Chengdu, 610064, P.R. China; and Uncertainty Decision-Making Laboratory, Sichuan Univ., Chengdu, 610064, P.R. China (corresponding author). E-mail: [email protected]
Jingneng Ni
Ph.D. Candidate, Uncertainty Decision-Making Laboratory, Sichuan Univ., Chengdu, 610064, P.R. China.
Mengxiang Zhang
Ph.D. Candidate, Uncertainty Decision-Making Laboratory, Sichuan Univ., Chengdu, 610064, P.R. China.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share