Compactness for Regionalization and its Application in Land-Use Planning

Document Type : Research Paper

Authors

1 Ph.D candidate in Environmental Science, Gorgan University of Agricultural Sciences and Natural Resources, Gorgan, Iran

2 Dept. of Environmental Science, Gorgan University of Agricultural Sciences and Natural Resources, Gorgan, Iran

3 Dept. of Electrical Engineering, Faculty of Engineering, Golestan University, Gorgan, Iran

4 Dept. of Industrial Engineering, Faculty of Engineering, Golestan University, Gorgan, Iran

Abstract

One of the most important and appealing subjects discussed and applied in many
geographical studies is compactness. This is a geometrical notion and has applications far
beyond the scope of its definition. Besides the importance of measuring compactness in a
single object, its study is significant in real-world applications, where the integration of
items or objects in conjunction with each other is considered. Regionalization is the term
commonly used for this integrative perspective. Although there are several methods to
quantify compactness, this study tries to illustrate the simple way for its calculation. Hence,
this study is devised to apply with some modifications one of the methods that has been
suggested for calculating single object compactness in regionalization domain. We attempt
to propose a clear definition and to evaluate the computer implementation of the
compactness in a land-use planning study. The ant colony algorithm as a heuristic approach
was applied to measure compactness in an innovative manner and to incorporate this
concept into a land-use planning case. Results show that this method can be useful in
achieving compactness in land-use planning.

Keywords


Aerts, J.C.J.H., Eisinger, E., Heuvelink, G.B.M., and Stewart, T.J. 2003. Using Linear Integer Programming for Multi-Site Land- Use Allocation. Geographical Analysis, 35(2), 148-169.
Bardossy, A., and Schmidt, F. 2002. GIS Approach to Scale Issues of Perimeter-based Shape Indices for Drainage Basins. Hydrological Sciences Journal, 47(6), 931-942.
Bogaert, J., and Impens, I. 1998. An improvement on area-perimeter ratios for interior-edge evaluation of habitats. In: F. Muge, R.C. Pinto, M. Piedade (eds.) Proceedings of the 10th Portuguese Conference on Pattern Recognition, Lisbon, Portugal. 55-61.
Bribiesca, E. 1997. Measuring 2-D Shape Compactness Using the Contact Perimeter. Computers and Mathematics with Applications, 33(11), 1-9.
C.Y J. 2004. Green-space Preservation and Allocation for Sustainable Greening of Compact Cities. Cities Journal, 21(4), 311-320.
Cao, K., and Huang, B. 2010. Comparison of Spatial Compactness Evaluation Methods for Simple Genetic Algorithm based Land Use Planning Optimization Problem. Proceedings of the Joint International Conference on Theory, Data Handling and Modelling in GeoSpatial Information Science, 38(2), 26-28.
Crewe, K., and Forsyth A. 2011. Compactness and connection in Environmental Design: Insights from Ecoburbs and Ecocities for Design with nature. Environment and Planning B: Planning and Design, 38, 267-288.
Didham, R.K. 1998. ''Altered Leaf-litter Decomposition Rates in Tropical Forest Fragments''. Oecologia116(3), 397-406.
Farina, A. 1998. ''Principles and Methods in Landscape Ecology''. Chapman & Hall, University Press, Cambridge. 412 P
Frohn R.C. 1998. Remote Sensing for Landscape Ecology; New Metric Indicators for Monitoring, Modelling, and Assessment of Ecosystems. Lewis Publishers, CRC Press LLC, Boca Raton, 112 P.
Frolov, Y.S. 1975. Measuring of Shape of Geographical Phenomena: A History of Issue. Soviet Geography: Review and Translation, 16(10), 676-687.
Gilbert, K.C., Holmes, D.D., and Rosenthal, R.E. 1985. A Multiobjective Discrete Optimization Model for Land Use Allocation. Management Science, 31, 1509-1522.
Gillman, R. 2002. Geometry and gerrymandering. Math Horizons, 10(1), 10-13.
Guiliano, G., and Narayan, D. 2003. Another Look at Travel Patterns and Urban Form: the US and Great Britain. Urban Studies, 40(11), 2295-2312.
Harris, C.C. 1964. A Scientific methods of Distribution. Behavioral Science, 9, 219-225.
Hofeller, T., and Grofman, B. 1990. Comparing the Compactness of California Congressional Districts under Three Different Plans: 1980, 1982, and 1984. In Toward fair and Effective Representation ed.B. Grofeman, New York: Agathon.
Hoshino, R. 2015. The Math Olympian. Friesen Press, Distributed to the trade by the Ingram Book Company. 496 P.
Kaiser, H. F. 1966. An Objective Method for Establishing Legislative Districts. Midwest Journal of Political Science, 10, 200-213.
Li, W., Goodchild M.F., and Church, R.L. 2013. An Efficient of Compactness for Two Dimensional Shapes and its Application in Regionalization Problems. International Journal of Geographical Information Science, 27(6), 1227-1250.
Liu. X., Li, X., Shi, X., Huang, K., and Liu, Y. 2012. A Multi-type Ant Colony Optimization (MACO)
Method for Optimal Land use Allocation in Large Areas. International Journal of Geographical Information Science, 26(7), 1325-1343.
Malczewski, J. 1999. GIS and Multicriteria Decision Analysis. Wiley. 392 P.
McGarigal K., and Marks B. 1993. Fragstats: Spatial Pattern Analysis Program for Quantifying Landscape Structure. Oregon State University, Forest Science Department. 122 P.
Miller, V.C. 1953. A Quantitative Geomorphic Study of the Drainage Basin Characteristics in the Clinch Mountain Area, Virginia and Tennessee. New York: Columbia University Department of Geology Technical Report. 3.
Minor, S.D., and Jacobs, T.L. 1994. Optimal Land Allocation for Slid and Hazardous Waste Landfill Sitting. Journal of Environmental Engineering, 120, 1095-1108. 
Osserman, R. 1978. Isoperimetric Inequality. Bulletin of American Mathematical Society, 84(6), 1182-1238.
Patton, D. R. 1975. A Diversity Index for Quantifying Habitat Edge. Wildlife Society Bulletin, 3 (4), 171- 173.
Rutledge, D. 2003. Landscape Indices as measures of The Effects of Fragmentation: Can Pattern Reflect Process? Published by Department of Conservation, Wellington, New Zealand. 26 P.
Saunders, D.A., Hobbs, R.J., and Margules, C.R. 1991. Biological Consequences of Ecosystem Fragmentation: A Review. Conservation Biology, 5(1), 18-32.
Stewart, T.J., Janssen, R., and Herwijnen, M.V. 2004. A Genetic Algorithm Approach to Multi objective Land use Planning. Computer and Operation Research, 31(14), 2293-2313.
Walmsley, A.J., Walker, D.H., Mallawaarachchi, T., and Lewis, A. 1999. Integration of Spatial Land use Allocation and Economic Optimization Models for Decision Support. In. MODSIM 99: International Congress on Modelling and Simulation: Modelling and Simulation Society of Australia.
Wentz, E.A. 1997. Shape analysis in GIS. In Annual Convention & Exposition Technical Papers, AutoCarto, 13(5), 204-213.
Williams, J.C. and ReVelle, C.S. 1998. Reserve Assembla e of Critical Areas: A Zero-One Programming Approach. European Journal of Operational Research, 104(3), 497-509.
Williams, K.1999. Urban Intensification Policies in England: Problems and Contradictions. Land Use Policy, 16(3), 167-178.
Wright, J., Revelle, C., and Cohon, J. 1983. A Multiobjective Integer Programming Model for the Land Acquisition Problem. Regional Science Urban Economics, 13, 31-53.