IDEAS home Printed from https://ideas.repec.org/a/kap/jgeosy/v16y2014i3p343-361.html
   My bibliography  Save this article

Locally weighted linear combination in a vector geographic information system

Author

Listed:
  • Brad Carter
  • Claus Rinner

Abstract

Weighted linear combination is a multi-criteria decision analysis technique that can be used by decision-makers to select an optimal location from a collection of alternative locations. Its local form takes into account the range of attribute values within a user-defined neighbourhood in accordance with the range-sensitivity principle. This research explores locally weighted linear combination in a vector-based geographic information system. A custom application in ArcGIS 10 allows the user to select a neighbourhood definition from a standard set including contiguity, distance, and k-nearest neighbours, for which local weights are generated. A case study on vulnerability to heat-related illness in Toronto is used to illustrate the technique. The impact of local weighting on the heat vulnerability index is examined using visual analysis of the spatial patterns of heat vulnerability under the global and local approaches, as well as the sensitivity of the local approach to the selected neighbourhood definition. A trade-off analysis of the local weights is also presented. The combination of socio-demographic and environmental determinants in a locally weighted index results in patterns of heat vulnerability that could support targeted hot weather response at a micro-geographic level within urban neighbourhoods. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Brad Carter & Claus Rinner, 2014. "Locally weighted linear combination in a vector geographic information system," Journal of Geographical Systems, Springer, vol. 16(3), pages 343-361, July.
    • Handle: RePEc:kap:jgeosy:v:16:y:2014:i:3:p:343-361
    DOI: 10.1007/s10109-013-0194-3
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10109-013-0194-3
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10109-013-0194-3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Fischer, Gregory W., 1995. "Range Sensitivity of Attribute Weights in Multiattribute Value Models," Organizational Behavior and Human Decision Processes, Elsevier, vol. 62(3), pages 252-266, June.
    2. Goldstein, William M., 1990. "Judgments of relative importance in decision making: Global vs local interpretations of subjective weight," Organizational Behavior and Human Decision Processes, Elsevier, vol. 47(2), pages 313-336, December.
    3. M. Saisana & A. Saltelli & S. Tarantola, 2005. "Uncertainty and sensitivity analysis techniques as tools for the quality assessment of composite indicators," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 168(2), pages 307-323, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Tercan, Emre & Dereli, Mehmet Ali & Saracoglu, Burak Omer, 2022. "Location alternatives generation and elimination of floatovoltaics with virtual power plant designs," Renewable Energy, Elsevier, vol. 193(C), pages 1150-1163.
    2. Mehmet Ali Dereli & Emre Tercan, 2021. "Comparison of GIS-based surrogate weighting methods for multi-directional landfill site selection in West Mediterranean Planning Region in Turkey," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(3), pages 3438-3457, March.
    3. Yangfan Xiao & Shanzhen Yi & Zhongqian Tang, 2018. "A Spatially Explicit Multi-Criteria Analysis Method on Solving Spatial Heterogeneity Problems for Flood Hazard Assessment," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(10), pages 3317-3335, August.
    4. Karim Solaimani & Fatemeh Shokrian & Shadman Darvishi, 2023. "An Assessment of the Integrated Multi-Criteria and New Models Efficiency in Watershed Flood Mapping," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 37(1), pages 403-425, January.
    5. Ferretti, Valentina & Geneletti, Davide, 2020. "Does the spatial representation affect criteria weights in environmental decision-making? Insights from a behavioral experiment," Land Use Policy, Elsevier, vol. 97(C).
    6. Qiang Niu & Li Yu & Qiao Jie & Xian Li, 2020. "An urban eco-environmental sensitive areas assessment method based on variable weights combination," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 22(3), pages 2069-2085, March.
    7. Alaa M. Momani, 2021. "Using Multi-Attribute Decision-Making Approach to Evaluate Learning Management Systems," International Journal of Web-Based Learning and Teaching Technologies (IJWLTT), IGI Global, vol. 16(4), pages 117-131, July.
    8. Joanna Jaroszewicz & Anna Majewska, 2021. "Group Spatial Preferences of Residential Locations—Simplified Method Based on Crowdsourced Spatial Data and MCDA," Sustainability, MDPI, vol. 13(9), pages 1-24, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Castillo, Geoffrey, 2020. "The attraction effect and its explanations," Games and Economic Behavior, Elsevier, vol. 119(C), pages 123-147.
    2. Olga Blasco-Blasco & Marina Liern-García & Aarón López-García & Sandra E. Parada-Rico, 2021. "An Academic Performance Indicator Using Flexible Multi-Criteria Methods," Mathematics, MDPI, vol. 9(19), pages 1-19, September.
    3. Elaine Ying Wang & Hun‐Tong Tan, 2013. "The Effects of Guidance Frequency and Guidance Goal on Managerial Decisions," Journal of Accounting Research, Wiley Blackwell, vol. 51(3), pages 673-700, June.
    4. repec:cup:judgdm:v:4:y:2009:i:6:p:492-508 is not listed on IDEAS
    5. Luce, Mary Frances & Payne, John W. & Bettman, James R., 2000. "Coping with Unfavorable Attribute Values in Choice," Organizational Behavior and Human Decision Processes, Elsevier, vol. 81(2), pages 274-299, March.
    6. Corrente, S. & Figueira, J.R. & Greco, S., 2021. "Pairwise comparison tables within the deck of cards method in multiple criteria decision aiding," European Journal of Operational Research, Elsevier, vol. 291(2), pages 738-756.
    7. Jamie P. Monat, 2009. "The benefits of global scaling in multi-criteria decision analysis," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 4(6), pages 492-508, October.
    8. Pettibone, Jonathan C. & Wedell, Douglas H., 2000. "Examining Models of Nondominated Decoy Effects across Judgment and Choice," Organizational Behavior and Human Decision Processes, Elsevier, vol. 81(2), pages 300-328, March.
    9. Matthias Firgo & Fabian Gabelberger & Andreas Reinstaller & Yvonne Wolfmayr, 2024. "Assessing Regional Production Potential to Strengthen the Security of Supply in Strategic Products," WIFO Working Papers 670, WIFO.
    10. Rajko Tomaš, 2022. "Measurement of the Concentration of Potential Quality of Life in Local Communities," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 163(1), pages 79-109, August.
    11. Janina Isabel Steinert & Lucie Dale Cluver & G. J. Melendez-Torres & Sebastian Vollmer, 2018. "One Size Fits All? The Validity of a Composite Poverty Index Across Urban and Rural Households in South Africa," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 136(1), pages 51-72, February.
    12. Greco, Salvatore & Ishizaka, Alessio & Tasiou, Menelaos & Torrisi, Gianpiero, 2018. "σ-µ efficiency analysis: A new methodology for evaluating units through composite indices," MPRA Paper 83569, University Library of Munich, Germany.
    13. Marco Marozzi & Mario Bolzan, 2018. "An Index of Household Accessibility to Basic Services: A Study of Italian Regions," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 136(3), pages 1237-1250, April.
    14. Di Zio, Simone & Bolzan, Mario & Marozzi, Marco, 2021. "Classification of Delphi outputs through robust ranking and fuzzy clustering for Delphi-based scenarios," Technological Forecasting and Social Change, Elsevier, vol. 173(C).
    15. Drago, Carlo & Gatto, Andrea, 2022. "Policy, regulation effectiveness, and sustainability in the energy sector: A worldwide interval-based composite indicator," Energy Policy, Elsevier, vol. 167(C).
    16. Paola Costantini & Marielle Linting & Giovanni C. Porzio, 2010. "Mining performance data through nonlinear PCA with optimal scaling," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 26(1), pages 85-101, January.
    17. Hobbs, Benjamin F & Horn, Graham TF, 1997. "Building public confidence in energy planning: a multimethod MCDM approach to demand-side planning at BC gas," Energy Policy, Elsevier, vol. 25(3), pages 357-375, February.
    18. Qingyun Du & Yanxia Wang & Fu Ren & Zhiyuan Zhao & Hongqiang Liu & Chao Wu & Langjiao Li & Yiran Shen, 2014. "Measuring and Analysis of Urban Competitiveness of Chinese Provincial Capitals in 2010 under the Constraints of Major Function-Oriented Zoning Utilizing Spatial Analysis," Sustainability, MDPI, vol. 6(6), pages 1-26, May.
    19. Hokkanen, Joonas & Salminen, Pekka, 1997. "Choosing a solid waste management system using multicriteria decision analysis," European Journal of Operational Research, Elsevier, vol. 98(1), pages 19-36, April.
    20. Hayashi, Kiyotada, 1998. "Multicriteria aid for agricultural decisions using preference relations: methodology and application," Agricultural Systems, Elsevier, vol. 58(4), pages 483-503, December.
    21. Laurens CHERCHYE & Willem MOESEN & Nicky ROGGE & Tom VAN PUYENBROECK, 2009. "Constructing a knowledge economy composite indicator with imprecise data," Working Papers of Department of Economics, Leuven ces09.15, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.

    More about this item

    Keywords

    Heat vulnerability; Local WLC; Range sensitivity; Spatial multi-criteria decision analysis; C61; D81; I18; R22;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health
    • R22 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Household Analysis - - - Other Demand

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:jgeosy:v:16:y:2014:i:3:p:343-361. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.