Spatially-explicit integrated uncertainty and sensitivity analysis of criteria weights in multicriteria land suitability evaluation

We employ spatially-explicit uncertainty and sensitivity analysis to examine the robustness of land suitability evaluation. We use Monte Carlo simulation to sweep through criteria weight space, where weights are expressed using probability distributions. Multiple output suitability maps are generated and summarized using: an average suitability map, a standard deviation uncertainty map, and a number of sensitivity maps. We demonstrate how these surfaces help detect critical regions of suitability on the example of habitat suitability evaluation for a wetland plant. Areas of high average suitability and low uncertainty signify robust suitability sites, whereas high average suitability and high uncertainty characterize candidate areas. These candidate areas are potentially suitable but need further examination with variance-based sensitivity analysis, in which the variability of land suitability is decomposed and attributed to individual criteria weights. The resulting sensitivity maps delineate regions of weight dominance, where a particular weight greatly influences the uncertainty of suitability scores.

[1]  Piet Rietveld,et al.  Spatial Dimensions in Multicriteria Analysis , 2019, Spatial Multicriteria Decision Making and Analysis.

[2]  Timothy C. Coburn,et al.  GIS and Multicriteria Decision Analysis , 2000 .

[3]  Paola Annoni,et al.  Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index , 2010, Comput. Phys. Commun..

[4]  Weldon A. Lodwick,et al.  Attribute error and sensitivity analysis of map operations in geographical informations systems: suitability analysis , 1990, Int. J. Geogr. Inf. Sci..

[5]  Stefano Tarantola,et al.  A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output , 1999, Technometrics.

[6]  U. Fish Endangered and threatened wildlife and plants , 1987 .

[7]  N. Saint-Geours,et al.  Comparison of Three Spatial Sensitivity Analysis Techniques , 2010 .

[8]  Stefano Tarantola,et al.  GLOBAL sensitivity analysis, GIS and multi‐criteria evaluation for a sustainable planning of a hazardous waste disposal site in Spain , 2006, Int. J. Geogr. Inf. Sci..

[9]  Ann-Margaret Esnard,et al.  An integrated multi-criteria scenario evaluation web tool for participatory land-use planning in urbanized areas: The Ecosystem Portfolio Model , 2013, Environ. Model. Softw..

[10]  Saltelli Andrea,et al.  Global Sensitivity Analysis: The Primer , 2008 .

[11]  Enrico Feoli,et al.  Application of a spatial decision support system (SDSS) to reduce soil erosion in northern Ethiopia , 2003, Environ. Model. Softw..

[12]  R. Webster,et al.  Kriging: a method of interpolation for geographical information systems , 1990, Int. J. Geogr. Inf. Sci..

[13]  Florent Joerin,et al.  Using GIS and outranking multicriteria analysis for land-use suitability assessment , 2001, Int. J. Geogr. Inf. Sci..

[14]  Jacek Malczewski,et al.  GIS‐based multicriteria decision analysis: a survey of the literature , 2006, Int. J. Geogr. Inf. Sci..

[15]  S. Liu,et al.  Decision support for sustainable option selection in integrated urban water management , 2008, Environ. Model. Softw..

[16]  Joaquín Bosque Sendra,et al.  Sensitivity Analysis in Multicriteria Spatial Decision-Making: A Review , 2004 .

[17]  Keping Chen,et al.  MCE-RISK: integrating multicriteria evaluation and GIS for risk decision-making in natural hazards , 2001, Environ. Model. Softw..

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

[19]  Stefano Tarantola,et al.  Sensitivity analysis of spatial models , 2009, Int. J. Geogr. Inf. Sci..

[20]  Jacek Malczewski,et al.  GIS and Multicriteria Decision Analysis , 1999 .

[21]  G. Brent Hall,et al.  A method for examining the spatial dimension of multi-criteria weight sensitivity , 2004, Int. J. Geogr. Inf. Sci..

[22]  Willy Bauwens,et al.  Sobol' sensitivity analysis of a complex environmental model , 2011, Environ. Model. Softw..

[23]  Yun Chen,et al.  Cellular automata-based spatial multi-criteria land suitability simulation for irrigated agriculture , 2011, Int. J. Geogr. Inf. Sci..

[24]  Jacek Malczewski,et al.  Local Weighted Linear Combination , 2011, Trans. GIS.

[25]  Paul J. Densham,et al.  Spatial decision support systems , 1991 .

[26]  Piotr Jankowski,et al.  Map-centred exploratory approach to multiple criteria spatial decision making , 2001, Int. J. Geogr. Inf. Sci..

[27]  A. Saltelli,et al.  Importance measures in global sensitivity analysis of nonlinear models , 1996 .

[28]  E. Triantaphyllou,et al.  A Sensitivity Analysis Approach for Some Deterministic Multi-Criteria Decision-Making Methods* , 1997 .

[29]  Piotr Jankowski,et al.  Regional and Urban GIS: A Decision Support Approach , 2009 .

[30]  Z. Paydar,et al.  Evaluation of potential irrigation expansion using a spatial fuzzy multi-criteria decision framework , 2012, Environ. Model. Softw..

[31]  Samee Ullah Khan,et al.  Spatial sensitivity analysis of multi-criteria weights in GIS-based land suitability evaluation , 2010, Environ. Model. Softw..

[32]  A. Saltelli,et al.  Making best use of model evaluations to compute sensitivity indices , 2002 .

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

[34]  Jacek Malczewski,et al.  GIS-based land-use suitability analysis: a critical overview , 2004 .

[35]  K. McGarigal,et al.  FRAGSTATS: spatial pattern analysis program for quantifying landscape structure. , 1995 .

[36]  Lucien Duckstein,et al.  A Multiple Criteria Decision-Making Approach to GIS-Based Land Suitability Evaluation , 1993, Int. J. Geogr. Inf. Sci..

[37]  R. Hämäläinen,et al.  The issue is understanding the weights , 1997 .

[38]  Suzana Dragicevic,et al.  Implications of error and uncertainty for an environmental planning scenario: A sensitivity analysis of GIS-based variables in a reserve design exercise , 2007 .

[39]  Ching-Lai Hwang,et al.  Multiple Attribute Decision Making: Methods and Applications - A State-of-the-Art Survey , 1981, Lecture Notes in Economics and Mathematical Systems.

[40]  Kurt K. Benke,et al.  A spatial-statistical approach to the visualisation of uncertainty in land suitability analysis , 2010 .

[41]  Southeastern Forest Experiment Station General technical report , 1985 .

[42]  Raja R. Sengupta,et al.  A spatial decision support system to identify species-specific critical habitats based on size and accessibility using US GAP data , 2004, Environ. Model. Softw..

[43]  Sarah H. Reichard,et al.  Factors affecting persistence of Wenatchee Mountains checker-mallow : An exploratory look at a rare endemic , 2005 .

[44]  C. Linstead,et al.  Uncertainty analysis in a GIS-based multi-criteria analysis tool for river catchment management , 2011, Environ. Model. Softw..

[45]  Claus Rinner,et al.  The Spatial Dimensions of Multi-Criteria Evaluation - Case Study of a Home Buyer's Spatial Decision Support System , 2006, GIScience.

[46]  Stefano Tarantola,et al.  Uncertainty and sensitivity analysis: tools for GIS-based model implementation , 2001, Int. J. Geogr. Inf. Sci..

[47]  Malka Gorfine,et al.  Sensitivity analysis for complex ecological models - A new approach , 2011, Environ. Model. Softw..

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

[49]  Gemma Manache,et al.  Identification of reliable regression- and correlation-based sensitivity measures for importance ranking of water-quality model parameters , 2008, Environ. Model. Softw..

[50]  Shuangzhe Liu,et al.  Global Sensitivity Analysis: The Primer by Andrea Saltelli, Marco Ratto, Terry Andres, Francesca Campolongo, Jessica Cariboni, Debora Gatelli, Michaela Saisana, Stefano Tarantola , 2008 .

[51]  C. Hwang Multiple Objective Decision Making - Methods and Applications: A State-of-the-Art Survey , 1979 .

[52]  Yun Chen,et al.  The spatial framework for weight sensitivity analysis in AHP-based multi-criteria decision making , 2013, Environ. Model. Softw..

[53]  Paola Annoni,et al.  Sixth International Conference on Sensitivity Analysis of Model Output How to avoid a perfunctory sensitivity analysis , 2010 .

[54]  Stefano Tarantola,et al.  Sensitivity and uncertainty analysis in spatial modelling based on GIS , 2000 .

[55]  Montserrat Gómez-Delgado,et al.  Proposal for the Introduction of the Spatial Perspective in the Application of Global Sensitivity Analysis , 2012 .

[56]  Michael Batty,et al.  GIS, spatial analysis, and modeling , 2005 .

[57]  Jyrki Kangas,et al.  Integrating spatial multi-criteria evaluation and expert knowledge for GIS-based habitat suitability modelling , 2001 .

[58]  Nick Green,et al.  Regional and Urban GIS: A Decision Support Approach , 2010 .

[59]  Piotr Jankowski,et al.  Exploring normative scenarios of land use development decisions with an agent-based simulation laboratory , 2010, Comput. Environ. Urban Syst..

[60]  Bertrand Iooss,et al.  Global sensitivity analysis for models with spatially dependent outputs , 2009, 0911.1189.

[61]  Stefano Tarantola,et al.  Sensitivity Analysis in Practice: A Guide to Assessing Scientific Models , 2004 .

[62]  Piotr Jankowski,et al.  Impact of proximity-adjusted preferences on rank-order stability in geographical multicriteria decision analysis , 2010, Journal of Geographical Systems.

[63]  Piotr Jankowski,et al.  Spatial Group Choice: A SDSS Tool for Collaborative Spatial Decision-Making , 1997, Int. J. Geogr. Inf. Sci..

[64]  M. Goodchild,et al.  Uncertainty in geographical information , 2002 .

[65]  Stefano Tarantola,et al.  Can global sensitivity analysis steer the implementation of models for environmental assessments and decision-making? , 2002 .

[66]  H. Simon,et al.  Administrative Behavior: A Study of Decision-Making Processes in Administrative Organization. , 1959 .

[67]  Salem Chakhar,et al.  GIS‐based multicriteria spatial modeling generic framework , 2008, Int. J. Geogr. Inf. Sci..

[68]  Arika Ligmann-Zielinska,et al.  A Framework for Sensitivity Analysis in Spatial Multiple Criteria Evaluation , 2008, GIScience.

[69]  C. Daniel 131 Note: On Varying One Factor at a Time , 1958 .

[70]  Yun Chen,et al.  To retire or expand? A fuzzy GIS‐based spatial multi‐criteria evaluation framework for irrigated agriculture , 2009 .