Abstract
Increasing recognition of the extent and speed of habitat fragmentation and loss, particularly in the urban fringe, is driving the need to analyze qualitatively and quantitatively regional landscape structures in land-use planning and environmental policy implementation. This paper introduces an Evolutionary Multi-objective Optimization (EMO) methodology to estimate the Pareto optimal set of landscape designs generated from a series of underlying ecological principles. The results of applying these principles via EMO to a study site are presented and a hierarchical clustering methodology is introduced to assist in evaluating the population of solutions generated.







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References
Aarts EHL, Lenstra JK (1997) Introduction. In: Aarts EHL, Lenstra JK (eds) Local search in combinatorial optimization. John Wiley & Sons Ltd., New York, pp 1–18
Albrecht J, Ehlers M (1994) Virtual geographic information system VGIS. In: Nievergelt J, Roos T, Schek H, Widmayer P (eds) IGIS’94: Geographic information systems. International workshop on advanced research in geographic information systems, Ascona. Springer Lecture Notes in Computer Science, vol 884. Springer, Berlin, pp 55–58
Beyer HG (2001) The theory of evolution strategies. Natural computing series. Springer, Berlin
Chakhar S, Mousseau V (2007) An algebra for multicriteria spatial modeling. Comput Environ Urban Syst 31:572–596
Chakhar S, Mousseau V (2008) GIS-based multicriteria spatial modeling generic framework. Int J Geogr Inf Sci 22(11):1159–1196
Chartrand G, Lesniak L (1996) Graphs and digraphs, 3rd edn. Chapman and Hall, London
Chen Y, Li X, Su W, Li Y (2008) Simulating the optimal land-use pattern in the farming-pastoral transitional zone of northern China. Comput Environ Urban Syst 32:407–414
Cliff AD, Ord JK (1973) Spatial autocorrelation. Pion Ltd., London
Dasgupta D, Michalewicz Z (eds) (1997) Evolutionary algorithms in engineering applications. Springer, Berlin
Deb K, Goel T (2001) Controlled elitist Non-dominated Sorting Genetic Algorithms for better convergence. In: Zitzler E et al (eds) Proceedings of the first international conference, evolutionary multi-criterion optimization, Springer, Zurich. Lecture Notes in Computer Science, vol 1993, pp 67–81
Deb K, Goldberg DE (1989) An investigation of niche and species formation in genetic function optimization. In: Schaffer JD (ed) Proceedings of the third international conference on genetic algorithms, Morgan Kaufmann, pp 42–50
Deb K, Pratap A, Agarak S, Meyarivan T (2002) A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans Evol Comput 8(2):182–197
Dramstad WE, Olson JD, Forman RTT (1996) Landscape ecology principles in landscape architecture and land-use planning. Harvard Graduate School of Design, Island Press, American Society of Landscape Architects, Washington, DC
Ducheyne EI, Wulf RRD, Baets BD (2006) A spatial approach to forest-management optimization: linking GIS and multiple objective genetic algorithms. Int J Geogr Inf Sci 20(8):917–928
Duh JD, Brown DG (2007) Knowledge-informed Pareto simulated annealing for multi-objective spatial allocation. Comput Environ Urban Syst 31:253–281
Falkenauer E (1998) Genetic algorithms and grouping problems. Wiley, New York
Forman RTT (1990) Ecologically sustainable landscapes: the role of spatial configuration. In: Zonneveld IS, Forman RTT (eds) Changing landscapes: an ecological perspective. Springer, Berlin, pp 261–278
Forman RTT (1997) Land mosaics: the ecology of landscapes and regions. Cambridge University Press, Cambridge, UK
Groot JCJ, Rossing WAH, Jellema A, van Ittersum MK (2006) Landscape design and agricultural land-use allocation using Pareto-based multi-objective differential evolution. In: Proceedings of the third biannual meeting of the international environmental modelling and software society, International Environmental Modelling and Software Society, Burlington, VT, http://www.iemss.org/iemss2006/sessions/all.html
Groot JCJ, Rossing WAH, Jellema A, van Ittersum MK (2007) Exploring multi-scale trade-offs between nature conservation, agricultural profits and landscape quality—a methodology to support discussions on land-use perspectives. Agric Ecosyst Environ 120(1):58–69
Huang B, Fery P, Xue L, Wang Y (2008) Seeking the Pareto front for multiobjective spatial optimization problems. Int J Geogr Inf Sci 22(5):507–526
Janssen R, van Herwijnen M, Stewart TJ, Aerts JCJH (2008) Multiobjective decision support for land-use planning. Environ Plan B 35:740–756
Jiang B, Omer I (2007) Spatial topology and its structural analysis based on the concept of simplicial complex. Trans GIS 11(6):943–960
Ligmann-Zielinska A, Church RL, Jankowski P (2008) Spatial optimization as a generative technique for sustainable multiobjective land-use allocation. Int J Geogr Inf Sci 22(6):601–622
Loonen W, Heuberger PSC, Bakema AH, Schot P (2007) Improving the spatial coherence of nature using genetic algorithms. Environ Plan B 34:369–378
Manson SM (2006) Bounded rationality in agent-based models: experiments with evolutionary programs. Int J Geogr Inf Sci 20(9):991–1012
Marray L, Lau M, Russell L (1997) Credit Valley Natural Heritage Project: detailed methodology. Tech. Rep. Credit Valley Conservation
Matisziw TC, Murray AT (2006) Promoting species persistence through spatial association optimization in nature reserve design. J Geogr Syst 8:289–305
Mazumder P, Rudnick EM (eds) (1999) Genetic algorithms for VLSI design, layout and test automation. Prentice-Hall PTR, Upper Saddle River, NJ
McGarigal K, Marks BJ (1995) FRAGSTATS: spatial pattern analysis program for quantifying landscape structure. Tech. Rep. PNW-GTR-351. United States Department of Agriculture, Pacific Northwest Research Station, Portland, OR
McIntosh RH (1976) Ecology since 1900. In: Taylor BJ, White TJ (eds) Issues and ideas in America. University of Oklahoma Press, Norman, OK, pp 353–372
Mitchell M (1996) An introduction to genetic algorithms. The MIT Press, Cambridge, MA
Molenaar M (1998) An introduction to the theory of spatial object modelling for GIS. Research monographs in GIS. Taylor & Francis, London
Mooney P, Winstanley A (2006) An evolutionary algorithm for multicriteria path optimization problems. Int J Geogr Inf Sci 20(4):401–423
Moulton CM, Roberts SA, Calamai PH (2009) Hierarchical clustering of multiobjective optimization results to inform land use decision making. Urban Reg Inf Syst J 21(2):25–37
Province of Ontario (1989) Wetlands policy statement: a draft policy for consultation under section 3 of the planning act. Tech. Rep. Province of Ontario
Quagliarella D, Périaux J, Poloni C, Winter G (eds) (1998) Genetic algorithms and evolution strategies in engineering and computer science: recent advances and industrial applications. Wiley, New York
Rahmat-Samii Y, Michielssen E (eds) (1999) Electromagnetic optimization by genetic algorithms. Wiley series in microwave and optical engineering. Wiley, New York
Rardin RL (1998) Optimization in operations research. Prentice-Hall, Upper Saddle River, NJ
Roberts SA (2003) Configuration optimization in socio-ecological systems. Unpublished Ph.D. thesis. Department of Systems Design Engineering, University of Waterloo, http://proquest.umi.com/pqdweb?did=7650422061&sid=3&Fmt=2&clientId=27850&RQT=309&VName=PQD&cfc=1
Saarloos DJM, Arentze TA, Borgers AWJ, Timmermans HJP (2008) A multi-agent paradigm as structuring principle for planning support systems. Comput Environ Urban Syst 32:29–40
Srinivas N, Deb K (1995) Multiobjective optimization using nondominated sorting in genetic algorithms. Evol Comput 2(3):221–248
Wu X, Murray AT (2008) A new approach to quantifying spatial contiguity using graph theory and spatial interaction. Int J Geogr Inf Sci 22(4):387–407
Xiao N (2008) A unified conceptual framework for geographical optimization using evolutionary algorithms. Ann Assoc Am Geogr 98(4):795–817
Xiao N, Bennett DA, Armstrong MP (2007) Interactive evolutionary approaches to multiobjective spatial decision making: a synthetic review. Comput Environ Urban Syst 31:232–252
Zhang X, Armstrong MP (2008) Genetic algorithms and the corridor location problem: multiple objectives and alternate solutions. Environ Plan B 35:148–168
Zitzler E, Deb K, Thiele L, Coello CAC, Corne D (eds) (2001) Evolutionary multi-criterion optimization: first international conference, EMO 2001. Lecture Notes in Computer Science, vol 1993, Springer, Zurich
Acknowledgments
The authors would like to acknowledge partial support of the this work from GEOIDE-NCE Grant HSS-SDS-17. Thanks also to Christina Moulton for help in creating the results data set and to the editors and reviewers for helpful suggestions on the presentation of our ideas and results.
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Roberts, S.A., Hall, G.B. & Calamai, P.H. Evolutionary Multi-objective Optimization for landscape system design. J Geogr Syst 13, 299–326 (2011). https://doi.org/10.1007/s10109-010-0136-2
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DOI: https://doi.org/10.1007/s10109-010-0136-2