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An Evaluation of Lattice Solutions to the Problem of Corridor Location
Abstract
Many route-location problems can be regarded as the minimisation of some accumulated cost, impact, or similar friction per unit length. Analogies can be found with paths of light and other least-time paths, and with geodesics. The problem is often solved by finding a path through a lattice of sample costs, with the use of modified shortest-path algorithms. Lattice paths do not converge to continuous-space paths. The differences are shown to depend on the set of permitted moves in the lattice, with the use of three cases. The continuous-space problem is solved for surfaces described by simple functions and for choropleth surfaces, and compared with lattice solutions. Three heuristic approaches for large problems are reviewed, with emphasis placed on regular spatial aggregation.
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“The LCP method is often affected by distortions caused by the raster structure.”
From Geospatial modeling of walking routes combing on-road and off-road movements (2026) · cites this paper as Goodchild 1977
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Research works printed but not linked: 15
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Beyond tobler’s hiking function
Goodchild, M. F. (2020) · Geographical Analysis · doi:10.1111/gean.12253 · Cited by 57
Self-citationPredicting the variability in pedestrian travel rates and times using crowdsourced GPS data
Campbell, M. J., Dennison, P. E., & Thompson, M. P. (2022) · Computers, Environment and Urban Systems · doi:10.1016/j.compenvurbsys.2022.101866 · Cited by 26
Geospatial modeling of walking routes combing on-road and off-road movements
Zaslavskaya, E. S., & Karpachevskiy, A. M. (2026) · Geography, Environment, Sustainability · doi:10.24057/2071-9388-2026-4068
Metadata
- Authors
- Goodchild, M. F.
- Affiliations
- Department of Geography, The University of Western Ontario, London, Ontario, Canada
- Venue
- Environment and Planning A: Economy and Space
- Publisher
- SAGE Publications
- Published
- 1977-07
- Volume
- 9
- Issue
- 7
- Pages
- 727-738
- ISSN
- 0308-518X
- 1472-3409
- Cited by
- 60
- References
- 0
- Language
- en
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