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Spatial Evolutionary Algorithm for Large-Scale Groundwater Management

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 329))

Abstract

Large-scale groundwater management problems pose great computational challenges for decision making because of the spatial complexity and heterogeneity. This study describes a modeling framework to solve large-scale groundwater management problems using a newly developed spatial evolutionary algorithm (SEA). This method incorporates spatial patterns of the hydrological conditions to facilitate the optimal search of spatial decision variables. The SEA employs a hierarchical tree structure to represent spatial variables in a more efficient way than the data structure used by a regular EA. Furthermore, special crossover, mutation and selection operators are designed in accordance with the tree representation. In this paper, the SEA was applied to searching for the maximum vegetation coverage associated with a distributed groundwater system in an arid region. Computational experiments demonstrate the efficiency of SEA for large-scale spatial optimization problems. The extension of this algorithm for other water resources management problems.

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References

  1. Loonen, W., Heuberger, P., Kuijpers-Linde, M.: Spatial optimization in land-use allocation (2007)

    Google Scholar 

  2. Grimm, V., Revilla, E., Berger, U., Jeltsch, F., Mooij, W.M., Railsback, S.F., Thulke, H., Weiner, J., Wiegand, T., DeAngelis, D.L.: Pattern-Oriented Modeling of Agent-Based Complex Systems: Lessons from Ecology. Science 310, 987–991 (2005), doi:10.1126/science.1116681.

    Article  Google Scholar 

  3. McKinney, D.C., Lin, M.D.: Genetic algorithm solution of groundwater management models. Water Resource Research 30(6), 1897–1906 (1994)

    Article  Google Scholar 

  4. Hilton, A.B.C., Culver, T.B.: Constraint handling for genetic algorithms in optimal remediation design. Journal of Water Resources Planning and Management 126(3), 128–137 (2000)

    Article  Google Scholar 

  5. Schütze, N., Paly, M., Schmitz, G.: Optimal open-loop and closed-loop scheduling of deficit irrigation systems. Journal of Hydroinformatics 14(1), 136–151 (2012)

    Article  Google Scholar 

  6. Krzanowski, R.M., Raper, J.: Spatial Evolutionary Modeling. Oxford University Press, Oxford (2001)

    Google Scholar 

  7. Openshaw, S.: Developing automated and smart spatial pattern exploration tools for geographical information systems applications. The Statistician 44(1), 3–16 (1995)

    Article  Google Scholar 

  8. Openshaw, S.: Neural network, genetic, and fuzzy logic models of spatial interaction. Environment and Planning A 30, 1857–1872 (1998)

    Article  Google Scholar 

  9. Xiao, N.: A unified conceptual framework for geographical optimization using evolutionary algorithms. Annals of the Association of American Geographers 98(4), 795–817 (2008)

    Article  Google Scholar 

  10. Brooks, C.: A genetic algorithm for designing optimal patch configurations in GIS. International Journal of Geographical Information Science 15(6), 539–559 (2001)

    Article  MathSciNet  Google Scholar 

  11. Gong, M., Yang, Y.: Quadtree-based genetic algorithm and its applications to computer vision. Pattern Recognition 37, 1723–1733 (2004)

    Article  MATH  Google Scholar 

  12. Laszlo, M., Mukherjee, S.: A genetic algorithm using hyper-quadtrees for low-dimensional k-means clustering. IEEE Transactions on Pattern Analysis and Machine Intelligence 28(4), 533–543 (2006)

    Article  Google Scholar 

  13. Wang, S., Armstrong, M.P.: A quadtree approach to domain decomposition for spatial interpolation in Grid computing environments. Parallel Computing 29, 1481–1504 (2003)

    Article  Google Scholar 

  14. Xiao, N., Bennett, D.A., Armstrong, M.P.: Using evolutionary algorithms to generate alternatives for multiobjective site search problems. Environment and Planning A 34(4), 639–656 (2002)

    Article  Google Scholar 

  15. Cao, K., Batty, M., Huang, B., Liu, Y., Yu, L., Chen, J.: Spatial multi-objective land use optimization: extensions to the non-dominated sorting genetic algorithm-II. International Journal of Geographical Information Science 25(12), 1949–1969 (2011)

    Article  Google Scholar 

  16. Fotakis, D., Sidiropoulos, E.: A new multi-objective self-organizing optimization algorithm (MOSOA) for spatial optimization problems. Applied Mathematics and Computation 218, 5168–5180 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  17. Laszlo, M., Mukherjee, S.: A genetic algorithm using hyper-quadtrees for low-dimensional k-means clustering. IEEE Transactions on Pattern Analysis and Machine Intelligence 28(4), 533–543 (2006)

    Article  Google Scholar 

  18. Holland, J.H.: Adaptations in Natural and Artificial Systems. University of Michigan Press, Ann Arbor (1975)

    Google Scholar 

  19. De Jong, K.A.: Evolutionary computation: where we are and where we’re headed. Fundamenta Informaticae 35, 247–259 (1998)

    MATH  Google Scholar 

  20. Fogel, D.B.: Evolutionary Computation: Toward a New Philosophy of Machine Intelligence. IEEE Press, Piscataway (2000)

    Google Scholar 

  21. Cova, T.J., Church, R.L.: Contiguity constraints for single-region site search problems. Geographical Analysi. 32(4), 306–329 (2000)

    Article  Google Scholar 

  22. Wang, D., Cai, X.: Irrigation Scheduling-Role of Weather Forecasting and Farmers. Journal of Water Resources Planning and Management 135(5), 364–372 (2009)

    Article  Google Scholar 

  23. Wang, J., Cai, X., Valocchi, A.J.: Spatial evolutionary algorithm (SEA) for optimizing a large-scale irrigation pumping strategy. In: INFORMS Annual Meeting, Charlotte, NC (2011)

    Google Scholar 

  24. Samet, H.: The Design and Analysis of Spatial Data Structures. Addison-Wesley, New York (1990)

    Google Scholar 

  25. Koza, J.R.: Genetic Programming: On the Programming of Computers by Means of Natural Selection. MIT Press, Cambridge (1992)

    MATH  Google Scholar 

  26. Yang, Y.C.E., Cai, X., Herricks, E.E.: Identification of hydrologic indicators related to fish diversity and abundance: A data mining approach for fish community analysis. Water Resources Research 44, W04412 (2008), doi:10.1029/2006WR005764.

    Google Scholar 

  27. Holland, J.H.: Genetic algorithms. Scientific American 267(1), 66–72 (1992)

    Article  Google Scholar 

  28. Sefrioui, M., Périaux, J.: A hierarchical genetic algorithm using multiple models for optimization. In: Deb, K., Rudolph, G., Lutton, E., Merelo, J.J., Schoenauer, M., Schwefel, H.-P., Yao, X. (eds.) PPSN 2000. LNCS, vol. 1917, pp. 879–888. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

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Correspondence to Jihua Wang .

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Wang, J., Cai, X., Valocchi, A. (2015). Spatial Evolutionary Algorithm for Large-Scale Groundwater Management. In: Sun, H., Yang, CY., Lin, CW., Pan, JS., Snasel, V., Abraham, A. (eds) Genetic and Evolutionary Computing. Advances in Intelligent Systems and Computing, vol 329. Springer, Cham. https://doi.org/10.1007/978-3-319-12286-1_14

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  • DOI: https://doi.org/10.1007/978-3-319-12286-1_14

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-12285-4

  • Online ISBN: 978-3-319-12286-1

  • eBook Packages: EngineeringEngineering (R0)

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