Comparison of slope estimates from low resolution dems: Scaling issues and a fractal method for their solution

Earth Surface Processes and Landforms

Volumn 24, Issue 9, 1999, Pages 763-779

  Zhang, Xiaoyang ^a   Drake, Nick A ^a   Wainwright, John ^a   Mulligan, Mark ^a  

^a KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

DEM resolution; Downscaling; Fractal dimension; Regional to global scale; Slope

Indexed keywords

COMPARATIVE STUDY; DIGITAL ELEVATION MODEL; DOWNSCALING; FRACTAL ANALYSIS; RESOLUTION; SLOPE;

EID: 0032763834     PISSN: 01979337     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1096-9837(199908)24:9<763::AID-ESP9>3.0.CO;2-J     Document Type: Article

References (37)

1. Andrle, R. and Abrahams, A. D. 1989. 'Fractal techniques and the surface roughness of talus slopes', Earth Surface Processes and Landforms, 14, 197-209.
2. Aviles, C. A., Scholz, C. H. and Boatwright, J. 1987. 'Fractal analysis applied to characteristic segments of San Andreas fault', Journal of Geophysical Research, 92(B1), 331-334.
3. Band, L. E. 1986. 'Topographic partition of watersheds with digital elevation models', Water Resources Research, 22, 15-24.
4. Band, L. E. and Moore, I. D. 1995. 'Scale: landscape attributes and Geographical Information Systems', in Kalma, J. D. and Sivapalan, M. (Eds), Scale Issues in Hydrological Modelling, John Wiley, Chichester, 159-180.
5. Barenblatt, G. I., Zhivago, A. V., Neprochnov, Y. P. and Ostrovskiy, A. A. 1984. 'The fractal dimension: A quantitative characteristic of ocean-bottom relief', Oceanology, 24, 695-697.
6. Beven, K. J. and Kirkby, M. J. 1979. 'A physically based, variable contributing area model of basin hydrology', Hydrological Sciences Bulletin, 24(1), 43-69.
7. Cressie, N. and Hawkins, D. M. 1980. 'Robust estimation of the variogram: I', Mathematical Geology, 12, 115-125.
8. De Jong, S. M. and Burrough, P. A. 1995. 'A fractal approach to the classification of Mediterranean vegetation types in remotely sensed images', Photogrammetric Engineering and Remote Sensing, 61(8), 1041-1053.
9. Drake, N. A., Vafeidis, A., Wainwright, J. and Zhang, X. 1995. 'Modelling soil erosion using remote sensing and GIS techniques', Proceedings of RSS 95 Remote Sensing in Action, 11-14 September 1995, Southampton, 217-224.
10. Evans, I. S. 1980. 'An integrated system of terrain analysis and slope mapping', Zeitschrift für Geomorphologie, N.F. Supplementband, 36, 274-295.
11. Fox, C. G. and Hayes, D. E. 1985. 'Quantitative methods for analysing the roughness of the seafloor', Reviews of Geophysics, 23(1), 1-48.
12. Goodchild, M. F. 1982. 'The fractional Brownian process as a terrain simulation model', Modelling and Simulation, 13, 1133-1137.
13. Håkanson, L. 1978. 'The length of closed geomorphic lines', Mathematical Geology, 10, 141-167.
14. Hammer, R. D., Young, F. J., Wollenhaupt, N. C., Barney, T. L. and Haithcoate, T. W. 1995. 'Slope class maps from soil survey and digital elevation models', Soil Science Society of America Journal, 59(2), 509-519.
15. Helmlinger, K. R., Kumar, P. and Foufoula-Georgiou, E. 1993. 'On the use of digital elevation model data for Hortonian and fractal analyses of channel networks', Water Resources Research, 29(8), 2599-2613.
16. Horn, B. K. P. 1981. 'Hill shading and reflectance map', Proceedings of the IEEE, 69(1), 14-47.
17. Huang, J. and Turcotte, D. L. 1989. 'Fractal mapping of digitized images: application to the topography of Arizona and comparisons with synthetic images', Journal of Geophysical Research, 94(B6), 7491-7495.
18. Jones, K. H. 1996. 'A comparison of eight algorithms used to compute slopes as a local property of the DEM', Proceedings of the GIS Research UK 1996 Conference, 7-12.
19. Kent, C. and Wong, J. 1982. 'An index of littoral zone complexity and its measurement', Canadian Journal of Fisheries and Aquatic Sciences, 39, 847-853.
20. Klinkenberg, B. 1992. 'Fractals and morphometric measures: Is there a relationship?', Geomorphology, 5, 5-20.
21. Klinkenberg, B. and Goodchild, M. F. 1992. 'The fractal properties of topography: a comparison of methods', Earth Surface Processes and Landforms, 17(3), 217-234.
22. Mandebrot, B. B. 1982. The Fractal Geometry of Nature. Freeman, New York.
23. Montgomery, D. R. and Foufoula-Georgiou, E. 1993. 'Channel network source representation using digital elevation models', Water Resources Research, 29(12), 3925-3934.
24. Moore, I. D., Grayson, R. B. and Landson, A. R. 1993. 'Digital terrain modelling: a review of hydrological, geomorphological, and biological applications', in Beven, K. J. and Moore, I. D. (Eds). Terrain Analysis and Distributed Modelling in Hydrology, John Wiley, Chichester, 7-34.
25. Morris, D. G. and Heerdegen, G. 1988. 'Automatically derived catchment boundaries and channel networks and their hydrological applications', Geomorphology, 1, 131-141.
26. Pachepsky, Y. A. and Ritchie, J. C. 1998. 'Seasonal changes in fractal landscape surface roughness estimated from airborne laser altimetry data', International Journal of Remote Sensing, 19(13), 2509-2516.
27. Parsons, A. J., Wainwright, J., Abrahams, A. D. and Simanton, J. R. 1997. 'Distributed dynamic modelling of interrill overland flow', Hydrological Processes, 11(14), 1833-1859.
28. Quinn, P., Beven, K., Chevallier, P. and Planchon, O. 1991. 'The prediction of hillslope flow paths for distributed hydrological modelling using digital terrain models', Hydrological Processes, 5, 59-79.
29. Russ, J. C. 1993. Fractal Surfaces, Plenum Press, New York.
30. Shelberg, M. C., Moellering, H. and Lam, N. S. 1982. 'Measuring the fractal dimensions of empirical cartographic curves', Proceedings: Auto-Carto, 5, 481-490.
31. Skidmore, A. K. 1989. 'A comparison of techniques for calculating gradient and aspect from a gridded digital elevation model', International Journal of Geographical Information Systems, 3(4), 323-34.
32. Smith, T. R. Zhan, C. and Gao, P. 1990. 'A knowledge-based, two-step procedure for extracting channel networks from noisy DEM data', Computer Geoscience, 16, 777-786.
33. Travis, M. R. Elsner G. H., Iverson, W. D. and Johnson, C. G. 1975. 'VIEWIT computation of seen areas, slope and aspect for landuse planning', US Department of Agriculture Forest Service Gen. Techn. PSW 11/1975, Pacific Southwest Forest and Range Experimental Station, Berkley, California, USA.
34. Turcotte, D. L. 1992. Fractals and Chaos in Geology and Geophysics, Cambridge University Press, Cambridge.
35. Zevenbergen, L. W. and Thorne, C. 1987. 'Quantitative analysis of land surface topography', Earth Surface Processes and Landforms, 12, 47-56.
36. Zhang, W. and Montgomery, D. R. 1994. 'Digital elevation model grid size, landscape representation, and hydrologic simulations', Water Resources Research, 30(4), 1019-1028.
37. Zhang, X., Drake, N. A., Wainwright, J. and Mulligan, M. 1997. 'Global scale overland flow and soil erosion modelling using remote sensing and GIS techniques: model implementation and scaling', Proceedings of RSS '97 Remote Sensing in Action, 2 4 September 1997, Reading, 379-384.