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.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Loonen, W., Heuberger, P., Kuijpers-Linde, M.: Spatial optimization in land-use allocation (2007)
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.
McKinney, D.C., Lin, M.D.: Genetic algorithm solution of groundwater management models. Water Resource Research 30(6), 1897–1906 (1994)
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)
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)
Krzanowski, R.M., Raper, J.: Spatial Evolutionary Modeling. Oxford University Press, Oxford (2001)
Openshaw, S.: Developing automated and smart spatial pattern exploration tools for geographical information systems applications. The Statistician 44(1), 3–16 (1995)
Openshaw, S.: Neural network, genetic, and fuzzy logic models of spatial interaction. Environment and Planning A 30, 1857–1872 (1998)
Xiao, N.: A unified conceptual framework for geographical optimization using evolutionary algorithms. Annals of the Association of American Geographers 98(4), 795–817 (2008)
Brooks, C.: A genetic algorithm for designing optimal patch configurations in GIS. International Journal of Geographical Information Science 15(6), 539–559 (2001)
Gong, M., Yang, Y.: Quadtree-based genetic algorithm and its applications to computer vision. Pattern Recognition 37, 1723–1733 (2004)
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)
Wang, S., Armstrong, M.P.: A quadtree approach to domain decomposition for spatial interpolation in Grid computing environments. Parallel Computing 29, 1481–1504 (2003)
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)
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)
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)
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)
Holland, J.H.: Adaptations in Natural and Artificial Systems. University of Michigan Press, Ann Arbor (1975)
De Jong, K.A.: Evolutionary computation: where we are and where we’re headed. Fundamenta Informaticae 35, 247–259 (1998)
Fogel, D.B.: Evolutionary Computation: Toward a New Philosophy of Machine Intelligence. IEEE Press, Piscataway (2000)
Cova, T.J., Church, R.L.: Contiguity constraints for single-region site search problems. Geographical Analysi. 32(4), 306–329 (2000)
Wang, D., Cai, X.: Irrigation Scheduling-Role of Weather Forecasting and Farmers. Journal of Water Resources Planning and Management 135(5), 364–372 (2009)
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)
Samet, H.: The Design and Analysis of Spatial Data Structures. Addison-Wesley, New York (1990)
Koza, J.R.: Genetic Programming: On the Programming of Computers by Means of Natural Selection. MIT Press, Cambridge (1992)
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.
Holland, J.H.: Genetic algorithms. Scientific American 267(1), 66–72 (1992)
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)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
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
Download citation
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)