Abstract
Slope is one of the crucial terrain variables in spatial analysis and land use planning, especially in the Loess Plateau area of China which is suffering from serious soil erosion. DEM based slope extracting method has been widely accepted and applied in practice. However slope accuracy derived from this method usually does not match with its popularity. A quantitative simulation to slope data uncertainty is important not only theoretically but also necessarily to applications. This paper focuses on how resolution and terrain complexity impact on the accuracy of mean slope extracted from DEMs of different resolutions in the Loess Plateau of China. Six typical geomorphologic areas are selected as test areas, representing different terrain types from smooth to rough. Their DEMs are produced from digitizing contours of 1:10,000 scale topographic maps. Field survey results show that 5 m should be the most suitable grid size for representing slope in the Loess Plateau area. Comparative and math-simulation methodology was employed for data processing and analysis. A linear correlativity between mean slope and DEM resolution was found at all test areas, but their regression coefficients related closely with the terrain complexity of the test areas. If taking stream channel density to represent terrain complexity, mean slope error could be regressed against DEM resolution (X) and stream channel density (S) at 8 resolution levels and expressed as (0.0015S2+0.031S-0.0325)X-0.0045S2-0.155S+0.1625, with a R2 value of over 0.98. Practical tests also show an effective result of this model in applications. The new development methodology applied in this study should be helpful to similar researches in spatial data uncertainty investigation.
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References
Ahmadzadeh M R, Petrou M, 2001. Error statistics for slope and aspect when derived from interpolated data.IEEE Transactions on Geoscience and Remote Sensing, 39(9): 1823–1833.
Bolstad P V, Stowe T, 1994. An evaluation of DEM accuracy: elevation, slope, and aspect.Photogrammetric Engineering and Remote Sensing, 60(11): 1327–1332.
Burrough P A, 1986. Principles of Geographical Information Systems for Land Resources Assessment. New York: Oxford University Press.
Carter J, 1992. The effect of data precision on the calculation of slope and aspect using gridded DEMs.Cartographica, 29(1): 22–34.
Chang K, Tsai B, 1991. The effect of DEM resolution on slope and aspect mapping.Cartography and Geographic Information Systems, 18: 69–77.
Chen L D, Wang J, Fu B Jet al., 2001. Land-use change in a small catchment of northern Loess Plateau, China.Agriculture Ecosystems & Environment, 86(2): 163–172.
Florinsky I V, 1998. Accuracy of local topographic variables derived from digital elevation model.International Journal of Geographical Information Science, 12(1): 47–61.
Gao J, 1997. Resolution and accuracy of terrain representation by grid DEMs at a micro-scale.International Journal of Geographical Information Science, 11(2): 199–212.
Giles P, Franklin S E, 1996. Comparison of derivation topographic surfaces of a DEM generated from stereoscopic SPOT images with field measurements.Photogrammetric Engineering and Remote Sensing, 62(10): 1165–1171.
Giles P T, 1998. Geomorphological signatures: classification of aggregated slope unit objects from digital elevation and remote sensing data.Earth Surface Processes And Landforms, 23(7): 581–594.
Giles P T, Franklin S E, 1998. An automated approach to the classification of the slope units using digital data.Geomorphology, 21(3-4): 251–264.
GyasiAgyei Y, deTroch F P, Troch P A, 1996. A dynamic hillslope response model in a geomorphology based rainfall-runoff model.Journal of Hydrology, 178(1-4): 1–18.
Hammer R D, Young F J, Wollenhaupt N Cet al., 1995. Slope class maps from soil survey and digital elevation models.Soil Science Society of America Journal, 59(2): 509–519.
Hodgson M E, 1995. What cell size does the computed slope/aspect angle represent.Photogrammetric Engineering and Remote Sensing, 61(5): 513–517.
Hohnes K W, Chadwick O A, Kyriakidis P C, 2000. Error in a USGS 30-meter digital elevation model and its impact on terrain modelling.Journal of Hydrology, 233(1-4): 154–173.
Hunter G J, Goodchild M F, 1997. Modeling the uncertainty of slope and aspect estimates derived from spatial databases.Geographical Analysis, 29(1): 35–49.
Ijjaszvasquez E J, Bras R L, 1995. Scaling regimes of local slope versus contributing area in digital elevation models.Geomorphology, 12(4): 299–311.
John P Wilson, John C Gallant, 2001. Terrain Analysis: Principles and Applications. New York: Wiley Press, 2001.
Jones K H, 1998. A comparison of algorithms used to compute hill slope as a property of the DEM.Computers & Geosciences, 24(4): 315–323.
Okayama H, 1997. Ground slope analysis by model experiments and Japan Earth Resources Satellite-1 data.Applied Optics, 36(24): 6005–6008.
Tang Guoan, Hui Yanghe, Josef Strobl,et al., 2001. The impact of resolution on the accuracy of hydrologic data derived from DEMs.Journal of Geographical Sciences, 11(4): 393–401.
Tang Guoan, Josef Strobl, Gong Jianyaet al., 2001. Evaluation on the accuracy of digital evevation models.Journal of Geographical Sciences, 11(2): 209–216.
Tang Guoan, Yang Qinke, Zhang Yonget al., 2001. A research on the accuracy of slope derived from DEMs of different map scales.Bulletin of Soil and Water Conservation, 2001, 21(1): 53–56. (in Chinese)
Thompson J A, Bell J C, Butler C A, 2001. Digital elevation model resolution: effects on terrain attribute calculation and quantitative soil-landscape modelling.Geoderma, 100(1-2): 67–89.
Walker J P, Willgoose G R, 1999. On the effect of digital elevation model accuracy on hydrology and geomorphology.Water Resources Research, 35(7): 2259–2268.
Wang G X, Gertner G, Parysow Pet al., 2001. Spatial prediction and uncertainty assessment of topographic factor for revised universal soil loss equation using digital elevation models.ISPRS Journal of Photogrammetry and Remote Sensing, 56(1): 65–80.
Zhang X Y, Drake N A, Wainwright Jet al., 1999. Comparison of slope estimates from low resolution DEMs: scaling issues and a fractal method for their solution.Earth Surface Processes And Landforms, 24(9): 763–779.
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Guoan, T., Mudan, Z., Tianwen, L. et al. Simulation on slope uncertainty derived from DEMs at different resolution levels: a case study in the Loess Plateau. J. Geogr. Sci. 13, 387–394 (2003). https://doi.org/10.1007/BF02837875
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DOI: https://doi.org/10.1007/BF02837875