Effects of interpolation errors on the analysis of DEMs

Earth Surface Processes and Landforms

Volumn 22, Issue 6, 1997, Pages 563-580

  Desmet, P J J ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Digital elevation models; Dynamic modelling; Error propagation; Interpolation methods; Terrain analysis

Indexed keywords

DEM; ERROR PROPAGATION; INTERPOLATION; TERRAIN ANALYSIS;

EID: 0030724850     PISSN: 01979337     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1096-9837(199706)22:6<563::AID-ESP713>3.0.CO;2-3     Document Type: Article

References (56)

1. Ackermann, F. 1978. 'Experimental investigation into the accuracy of contouring from DTM.' Photogrammetric Engineering and Remote Sensing, 44(12), 1537-1548.
2. Ahnert, F. 1976. 'Brief description of a comprehensive three-dimension process-response model of landform development', Zeitschrift für Geomorphologie, Suppl. Band, 25, 29-49.
3. Akima, H. 1978. 'A method of bivariate interpolation and smooth surface fining for irregularly distributed data points,' ACM Transactions on Mathematical Software, 4(2), 148-159.
4. Burgess, T. M. and Webster, R. 1960. 'Optimal interpolation and isarithmic mapping. 1. The semi-variogram and punctual kriging', Journal of Soil Science, 31, 315-332.
5. Burrough, P. A. 1986. Principles of Geographical Information Systems for Land Resources Assessment, Clarendon Press, Oxford, 194 pp.
6. Carter, J. 1988. 'Digital representation of topographic surfaces', Photogrammetric Engineering and Remote Sensing, 54(11), 1577-1580.
7. Carter, J. 1992. 'The effect of data precision on the calculation of slope and aspect using gridded DEMs', Cartographica, 29(1), 22-34.
8. Chang, K. and Tsai, B. 1991. 'The effect of DEM resolution on slope and aspect mapping', Cartography and Geographic Information Systems, 18(1), 69-77.
9. Cliff, A. D. and Ord, J. K. 1973. Spatial Processes - Models and applications, Pion, London, 261 pp.
10. Declercq, F. (in press). 'Interpolation methods for scattered sample data: accuracy, spatial patterns, processing time', Cartography and Geographic Information Systems.
11. Desmet, P. J. J. 1993. 'The use of digital elevation models in geomorphology', Tijdschrift voor Belg. Ver. Aardr. Studies, BEVAS, 62(1), 47-66.
12. Desmet, P. J. J. and Govers, G. 1995. 'GIS-based simulation of erosion and deposition patterns in an agricultural landscape: a comparison of model results with soil map information', Catena, 25, 389-401.
13. Desmet, P. J. J. and Govers, G. 1996. 'Comparison of routing algorithms for digital elevation models and their implications for predicting ephemeral gullies', International Journal of Geographical Information Systems, 10, 311-331.
14. Dietrich, W. E., Wilson, C. J., Montgomery, D. R. and McKean, J. 1993. 'Analysis of erosion thresholds, channel networks, and landscape morphology using a digital terrain model', The Journal of Geology, 101, 259-278.
15. Dubrule, O. 1983. 'Two methods with different objectives: splines and kriging', Mathematical Geology, 15, 245-255.
16. Dubrule, O. 1984. 'Comparing splines and kriging', Computers and Geosciences, 10(2), 327-338.
17. Eastman, R. 1992. Idrisi version 4.0, Technical Reference, Clark University, Graduate School of Geography, Worcester, Mass., 202 pp.
18. Engel, B. A., Srinivasan, R. and Rewerts, C. 1993. 'A spatial decision support system for modelling and managing agricultural non-point-source pollution', in Goodchild, M. F., Parks, B. O. and Steyaert, L. T. (Eds), Environmental Modelling with GIS, Oxford University Press, New York, 231-237.
19. Englund, E. and Sparks, A. 1988. GEO-EAS User's Guide, Environmental Monitoring Systems Laboratory Research and Development, US Environmental Protection Agency, Las Vegas, Nevada, USA.
20. Fryer, J. G., Chandler, J. H. and Cooper, M. A. R. 1994. 'On the accuracy of heighting from aerial photographs and maps: implications to process modellers', Earth Surface Processes and Landforms, 19, 577-583.
21. Golden Software, 1989. SURFER Version 4. Reference Manual Volume 1, Golden Software Inc., Colorado.
22. Govers, G., Vandaele, K., Desmet, P. J. J., Poesen, J. and Bunte, K. 1994. 'An investigation of the role of soil tillage in soil redistribution on hillslopes', European Journal of Soil Science, 45, 469-478.
23. Govers, G., Quine, T. A., Desmet, P. J. J. and Walling, D. E. (1996). 'The relative contribution of soil tillage and overland flow erosion to soil redistribution on agricultural land', Earth Surface Processes and Landforms, 21, 929-946.
24. Heuvelink, G. B. M. 1993. Error Propagation in Quantitative Spatial Modelling, KNAG Utrecht, 151 pp.
25. Hutchinson, M. F. 1995. 'Interpolating mean rainfall using thin plate smoothing splines', International Journal of Geographical Information Systems, 9(4), 385-403.
26. Hutchinson, M. F. and Gessler, P. E. 1994. 'Splines - more than just a smooth interpolator', Geoderma, 62, 45-67.
27. Jenson, S. K. and Domingue, J. O. 1988. 'Extracting topographic structure from digital elevation data for geographic information system analysis', Photogrammetric Engineering and Remote Sensing, 54(11), 1593-1600.
28. Journel, A. J. and Huijbregts, C. J. 1978. Mining Geostatistics, Academic Press, London, 600 pp.
29. Kirkby, M. J. 1971. 'Hillslope process-response models based on the continuity equation', in Brunsden D. (Ed.), Hillslopes: Form and Process, Institute of British Geographers Special Publication, 3, 15-30.
30. Kirkby, M. J. 1990. 'The landscape viewed through models', Zeitschrift fur Geomorphologie, Suppl. Brand, 79, 63-81.
31. Kirkby, M. J., Naden, P. S., Burt, T. P. and Butcher, D. P. 1987. Computer Simulation in Physical Geography, J. Wiley & Sons, Chichester, 227 pp.
32. Kubik, K. and Botman, A. G. 1976. 'Interpolation accuracy for topographic and geological surfaces', ITC Journal, 2, 236-274.
33. van Kuilenburg, J., de Gruijter, J. J., Marsman, B. A. and Bouma, J. 1982. 'Accuracy of spatial interpolation between point data on moisture supply capacity, compared with estimates from mapping units', Geoderma, 27, 311-325.
34. Lam, N. 1983. 'Spatial interpolation methods: a review', The American Cartographer, 10(2), 129-149.
35. Laslett, G. M., McBratney, A. B., Pahl, P. J. and Hutchinson, M. F. 1987. 'Comparison of several spatial prediction methods for soil pH', Journal of Soil Science, 38, 325-241.
36. Li, Z. 1988. 'On the measure of digital terrain model accuracy', Photogrammetric Record, 12(72), 873-877.
37. Li, Z. 1992. 'Variation of the accuracy of digital terrain models with sampling interval', Photogrammetric Record, 14(79), 113-128.
38. Li, Z. 1994. 'A comparative study of the accuracy of digital terrain models (DTMs) based on various data models', ISPRS Journal of Photogrammetry and Remote Sensing, 49(1), 2-11.
39. Meinguet, J. 1979. 'Multivariate interpolation at arbitrary points made simple', Journal of Applied Mathematics and Physics, 30, 292-304.
40. Miller, C. L. and Laflamme, R. A. 1958. 'The digital terrain model - theory and application', Photogrammetric Engineering, 24(3), 433.
41. Mitasova, H. and Mitas, L. 1993. 'Interpolation by regularized spline with tension. I. Theory and Implementation', Mathematical Geology, 25, 641-455.
42. Mitasova, H., Mitas, L. Brown, W. M., Gerdes, D. P., Kosinovsky, I. and Baker, T. 1995. 'Modeling spatially and temporally distributed phenomena: new methods and tools for GRASS GIS', International Journal of Geographical Information Systems, 9(4), 433-446.
43. Moore, I. D., Burch, G. J. and MacKenzie, D. H. 1988. 'Topographic effects on the distribution of surface soil water and the location of ephemeral gullies', Transactions of the ASAE, 31(4), 1098-1107.
44. Moore, I. D., Turner, A. K., Wilson, J. P., Jenson, S. K. and Band, L. E. 1993. 'GIS and land-sarface-subsurface modeling', in Goodchild, M. F., Parks, B. O. and Steyaert, L. T. (Eds), Environmental Modeling with GIS, Oxford University Press, New York, 196-230.
45. Moran, P. A. P. 1950. 'Notes on continuous stochastic phenomena', Biometrika, 37, 17-23.
46. Morris, D. G. and Heerdegen, R. G. 1988. 'Automatically derived catchment boundary and channel networks and their hydrological applications', Geomorphology, 1, 131-141.
47. Oliver, M. A. and Webster, R. 1990. 'Kriging: a method of interpolation for geographical informatin systems', International Journal of Geographical Information Systems, 4(3), 313-332.
48. Panuska, J. C., Moore, E. D. and Kramer, L. A. 1991. 'Terrain analysis: integration into the agricultural nonpoint source (AGNPS) pollution model', Journal of Soil and Water Conservation, 46(1), 59-64.
49. Petrie, G. 1990. 'Modelling, interpolation and contouring procedures', in Petrie, G. and Kennie, T. J. M. (Eds), Terrain Modelling in Surveying and Civil Engineering, Whittles Publishing Services, Caithness, 112-127.
50. Rhind, D.W. 1975. 'A skeletal overview of spatial interpolation', Computer Applications, 2(3-4), 293-309.
51. SAS Institute, 1990. SAS/GRAPH Software: Reference Version 6, Sas Institute Inc., Cary NC, 1342 pp.
52. Schut, G. H. 1976, 'Review of interpolation methods for digital terrain models', The Canadian Surveyor, 30(5), 389-412.
53. Torlegard, K., Östman, A. and Lindgren, R. 1986. 'A comparative test of photogrammetrically sampled digital elevation models', Photogrammetria, 41, 1-16.
54. Yoeli, P. 1983. 'Digital terrain models and their cartographic and cartometric utilisation', The Cartographic Journal, 20(1), 17-22.
55. Young, R. A., Onstad, C. A., Bosch, D. D. and Anderson, W. P. 1989. 'AGNPS: a nonpoint-source pollution model for evaluating agricultural watersheds,' Journal of Soil and Water Conservation 44(2), 168-173.
56. Zevenbergen, L. W. and Thorne, C. R. 1987. 'Quantitative analysis of land surface topography', Earth Surface Processes and Landforms, 12, 47-56.