Applying Genetic Algorithms to Multi-Objective Land Use Planning

This paper explores the application of multi-objective Genetic Algorithms (mGAs) to rural land use planning, a spatial allocation problem. Two mGAs are proposed. Both share an underlying structure of: fitness assignment using Pareto-dominance ranking, niche induction and an individual replacement strategy. They are differentiated by their representations: a fixed-length genotype composed of genes that map directly to a land parcel's use and a variable-length, order-dependent representation making allocations indirectly via a greedy algorithm. The latter representation requires additional breeding operators to be defined and post-processing of the genotype structure to identify and remove duplicate genotypes. The two mGAs are compared on a real land use planning problem and the strengths and weaknesses of the underlying framework and each representation are identified.

[1]  Zbigniew Michalewicz,et al.  Genetic Algorithms Plus Data Structures Equals Evolution Programs , 1994 .

[2]  K. J. Evans,et al.  Computer Intensive Methods for Testing Hypotheses: An Introduction , 1990 .

[3]  Christopher J. Brookes,et al.  A Parameterized Region-Growing Programme for Site Allocation on Raster Suitability Maps , 1997, Int. J. Geogr. Inf. Sci..

[4]  Dirk Thierens,et al.  On The Design of Genetic Algorithms for Geographical Applications , 1999, GECCO.

[5]  Hugh M. Cartwright,et al.  The Application of the Genetic Algorithm to Two-Dimensional Strings: The Source Apportionment Problem , 1993, ICGA.

[6]  David W. Corne,et al.  Approximating the Nondominated Front Using the Pareto Archived Evolution Strategy , 2000, Evolutionary Computation.

[7]  Stephen J. Carver,et al.  Integrating multi-criteria evaluation with geographical information systems , 1991, Int. J. Geogr. Inf. Sci..

[8]  L. Darrell Whitley,et al.  The GENITOR Algorithm and Selection Pressure: Why Rank-Based Allocation of Reproductive Trials is Best , 1989, ICGA.

[9]  Gary B. Lamont,et al.  Multiobjective Evolutionary Algorithms: Analyzing the State-of-the-Art , 2000, Evolutionary Computation.

[10]  Tara M. Barrett,et al.  Voronoi tessellation methods to delineate harvest units for spatial forest planning , 1997 .

[11]  Robert H. Lochner,et al.  Designing for Quality , 1990 .

[12]  David E. Goldberg,et al.  A niched Pareto genetic algorithm for multiobjective optimization , 1994, Proceedings of the First IEEE Conference on Evolutionary Computation. IEEE World Congress on Computational Intelligence.

[13]  Xuan Zhu,et al.  ILUDSS: A knowledge-based spatial decision support system for strategic land-use planning , 1996 .

[14]  John Sessions,et al.  Using Tabu search to schedule timber harvests subject to spatial wildlife goals for big game , 1997 .

[15]  Hanan Samet,et al.  The Design and Analysis of Spatial Data Structures , 1989 .

[16]  Gilbert Syswerda,et al.  Uniform Crossover in Genetic Algorithms , 1989, ICGA.

[17]  Piotr Jankowski,et al.  Integrating Geographical Information Systems and Multiple Criteria Decision-Making Methods , 1995, Int. J. Geogr. Inf. Sci..

[18]  Lawrence. Davis,et al.  Handbook Of Genetic Algorithms , 1990 .

[19]  Lothar Thiele,et al.  Comparison of Multiobjective Evolutionary Algorithms: Empirical Results , 2000, Evolutionary Computation.

[20]  Thomas Bäck,et al.  An Overview of Evolutionary Algorithms for Parameter Optimization , 1993, Evolutionary Computation.

[21]  Arthur S. Lieberman,et al.  Landscape Ecology , 1994, Springer New York.

[22]  Kenneth A. De Jong,et al.  Dining with GAs: Operator Lunch Theorems , 1998, FOGA.

[23]  Lashon B. Booker,et al.  Proceedings of the fourth international conference on Genetic algorithms , 1991 .

[24]  David J. Maguire,et al.  Geographical Information Systems , 1993 .

[25]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[26]  Georges R. Harik,et al.  Foundations of Genetic Algorithms , 1997 .

[27]  K. Matthews,et al.  Applying Genetic Algorithms to Land Use Planning. , 1999 .

[28]  J. Beedasy,et al.  Diverting the tourists: a spatial decision-support system for tourism planning on a developing island , 1999 .

[29]  Lawrence Davis,et al.  Adapting Operator Probabilities in Genetic Algorithms , 1989, ICGA.

[30]  Zbigniew Michalewicz,et al.  Evolutionary Computation 2 , 2000 .

[31]  F. Helles,et al.  Spatial optimization by simulated annealing and linear programming , 1997 .

[32]  Jim Antonisse,et al.  A New Interpretation of Schema Notation that Overtums the Binary Encoding Constraint , 1989, ICGA.

[33]  Larry J. Eshelman,et al.  Biases in the Crossover Landscape , 1989, ICGA.

[34]  David G. Green,et al.  An Empirical Investigation of Optimization in Dynamic Environments Using the Cellular Genetic Algorithm , 2000, GECCO.

[35]  Kalyanmoy Deb,et al.  A Fast Elitist Non-dominated Sorting Genetic Algorithm for Multi-objective Optimisation: NSGA-II , 2000, PPSN.

[36]  Eastman J. Ronald,et al.  RASTER PROCEDURES FOR MULTI-CRITERIA/MULTI-OBJECTIVE DECISIONS , 1995 .

[37]  Zbigniew Michalewicz,et al.  Genetic Algorithms + Data Structures = Evolution Programs , 1996, Springer Berlin Heidelberg.

[38]  Pj Densham,et al.  GENERATING INTERESTING ALTERNATIVES IN GIS AND SDSS USING GENETIC ALGORITHMS , 1993 .

[39]  Lothar Thiele,et al.  An evolutionary algorithm for multiobjective optimization: the strength Pareto approach , 1998 .

[40]  Emilio Chuvieco,et al.  Integration of Linear Programming and GIS for Land-Use Modelling , 1993, Int. J. Geogr. Inf. Sci..

[41]  Kalyanmoy Deb,et al.  Don't Worry, Be Messy , 1991, ICGA.

[42]  Kalyanmoy Deb,et al.  A Comparative Analysis of Selection Schemes Used in Genetic Algorithms , 1990, FOGA.

[43]  J. P. Roise Multicriteria nonlinear programming for optimal spatial allocation of stands. , 1990 .

[44]  Peter J. Fleming,et al.  Multiobjective optimization and multiple constraint handling with evolutionary algorithms. I. A unified formulation , 1998, IEEE Trans. Syst. Man Cybern. Part A.

[45]  Kalyanmoy Deb,et al.  Muiltiobjective Optimization Using Nondominated Sorting in Genetic Algorithms , 1994, Evolutionary Computation.

[46]  Kalyanmoy Deb,et al.  Messy Genetic Algorithms: Motivation, Analysis, and First Results , 1989, Complex Syst..

[47]  Scott M. Smith,et al.  Computer Intensive Methods for Testing Hypotheses: An Introduction , 1989 .

[48]  J Disney,et al.  Designing for quality , 2001 .

[49]  Manuel Valenzuela-Rendón,et al.  A Non-Generational Genetic Algorithm for Multiobjective Optimization , 1997, ICGA.

[50]  Peter J. Fleming,et al.  An Overview of Evolutionary Algorithms in Multiobjective Optimization , 1995, Evolutionary Computation.

[51]  Kalyanmoy Deb,et al.  RapidAccurate Optimization of Difficult Problems Using Fast Messy Genetic Algorithms , 1993, ICGA.