Abstract
Given a grid of cells each having a cost value, a variant of the least-cost path problem seeks a corridor—represented by a swath of cells rather than a sequence of cells—connecting two terminuses such that its total accumulated cost is minimized. While it is widely known that raster-based least-cost paths are subject to three types of distortion, i.e., deviation, distortion, and proximity, little is known about potential distortion of their corridor counterparts. This paper studies a raster model of the least-cost corridor problem and analyses its solution in terms of each type of distortion. It is found that raster-based least-cost corridors, too, are subject to all three types of distortion but in different ways: elongation distortion is always persistent, deviation distortion can be substantially reduced, and proximity distortion can be essentially eliminated.
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Adriaensen, F., Chardon, J.P., De Blust, G., Swinnen, E., Villalba, S., Gulinck, H., Matthysen, E.: The application of ‘least-cost’ modelling as a functional landscape model. Landsc. Urban Plan. 64(4), 233–247 (2003)
Antikainen, H.: Comparison of different strategies for determining raster-based least-cost paths with a minimum amount of distortion. Trans. GIS 17(1), 96–108 (2013)
Bagli, S., Geneletti, D., Orsi, F.: Routeing of power lines through least-cost path analysis and multicriteria evaluation to minimise environmental impacts. Environ. Impact Assess. Rev. 31, 234–239 (2011)
van Bemmelen, J., Quak, W., van Hekken, M., van Oosterom, P.: Vector vs. raster-based algorithms for cross country movement planning. In: Proceedings of International Symposium on Computer-Assisted Cartography (Auto-Carto XI), Minneapolis, Minnesota, pp. 304–317 (1993)
Chetkiewicz, C.B., Boyce, M.S.: Use of resource selection functions to identify conservation corridors. J. Appl. Ecol. 46, 1036–1047 (2009)
Dijkstra, E.W.: A note on two problems in connexion with graphs. Numer. Math. 1, 269–271 (1959)
Douglas, D.H.: Least cost path in GIS using an accumulated cost surface and slope lines. Cartographica 31(3), 37–51 (1994)
Feldman, S.C., Pelletier, R.E., Walser, E., Smoot, J.C., Ahl, D.: A prototype for pipeline routing using remotely sensed data and geographic information system analysis. Remote Sens. Environ. 53, 123–131 (1995)
Gonçalves, A.B.: An extension of GIS-based least-cost path modelling to the location of wide paths. Int. J. Geogr. Inf. Sci. 24(7), 983–996 (2010)
Huber, D.L., Church, R.L.: Transmission corridor location modeling. J. Transp. Eng. 111(2), 114–130 (1985)
Lombard, K., Church, R.L.: The gateway shortest path problem: generating alternative routes for a corridor location problem. Geogr. Syst. 1, 25–45 (1993)
Goodchild, M.F.: An evaluation of lattice solutions to the problem of corridor location. Environ. Plan. A 9, 727–738 (1977)
Rothley, K.: Finding and filling the “cracks” in resistance surfaces for least-cost modeling. Ecol. Soc. 10(1), 4 (2005)
Scaparra, M.P., Church, R.L., Medrano, F.A.: Corridor location: the multi-gateway shortest path model. J. Geogr. Syst. 16(3), 287–309 (2014)
Shirabe, T.: A method for finding a least-cost wide path in raster space. Int. J. Geogr. Inf. Sci. 30(8), 1469–1485 (2016)
Tomlin, C.D.: Propagating radial waves of travel cost in a grid. Int. J. Geogr. Inf. Sci. 24(9), 1391–1413 (2010)
Xu, J., Lathrop, R.G.: Improving simulation accuracy of spread phenomena in a raster-based geographic information system. Int. J. Geogr. Inf. Sci. 17(4), 153–168 (1995)
Acknowledgment
This work was partially supported by a grant (No. 942-2015-1513) from the Swedish Research Council Formas. The author would like to thank the three anonymous reviewers for their valuable comments and suggestions, which have improved the presentation of this paper. Still, any errors remain the author’s own.
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Shirabe, T. (2016). On Distortion of Raster-Based Least-Cost Corridors. In: Miller, J., O'Sullivan, D., Wiegand, N. (eds) Geographic Information Science. GIScience 2016. Lecture Notes in Computer Science(), vol 9927. Springer, Cham. https://doi.org/10.1007/978-3-319-45738-3_7
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DOI: https://doi.org/10.1007/978-3-319-45738-3_7
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