The problem of scale-specific and scale-free approaches in geomorphometry

Geografia Fisica e Dinamica Quaternaria

Volumn 28, Issue 1, 2005, Pages 81-101

  Shary, Peter A ^a   Sharaya, Larisa S ^b   Mitusov, Andrey V ^c  

^a INSTITUTE OF PHYSICOCHEMICAL AND BIOLOGICAL PROBLEMS IN SOIL SCIENCE   (Russian Federation)

^b INSTITUTE OF ECOLOGY OF THE VOLGA RIVER BASIN   (Russian Federation)

^c UNIVERSITY OF HOHENHEIM   (Germany)

Author keywords

Digital Elevation Model; Geological structure; Geomorphometry; Land form classification; Oil spill; Scale

Indexed keywords

GEOMORPHOLOGY; LANDFORM EVOLUTION; MORPHOMETRY;

EID: 33644783822     PISSN: 03919838     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (52)

1. Aandahl A.R. (1948) - The characterization of slope positions and their influence on the total nitrogen content of a few virgin soils of Western Iowa. Soil Science Society of America Proceedings, 13, 449-454.
2. Beven K.J. & Kirkby M.J. (1979) - A physically based, variable contributing area model of basin hydrology. Hydrological Sciences Bulletin, 24, 43-69.
3. Beven K.J. & Wood E.F. (1983) - Catchment geomorphology and the dynamics of runoff contributing areas. Journal of Hydrology, 65, 139-158.
4. Beven K.J. (1987) - Towards the use of catchment geomorphology in flood frequency predictions. Earth Surface Processes and Landforms, 12, 69-82.
5. Buivydaite V.V. & Mozgeris G. (2004) - Digital land surface analysis: on possibilities of applications in soil survey. Eurosoil, 2004. 14 p. Available as. PDF file at the website http://kuk. uni-freiburg.de/hosted/eurosoil2004/full_papers/ id995_Buivydaite_full.pdf.
6. Costa-Cabral M.C. & Burges S.J. (1994) - Digital elevation model networks (DEMON): A model of flow over hillslopes for computation of contributing and dispersal areas. Water Resources Research, 30, 1681-1692.
7. Evans I.S. (1972) - General geomorphometry, derivatives of altitude, and descriptive statistics. In: Chorley, R.J. (ed.), «Spatial Analysis in Geomorphology». Methuen & Co., Ltd., London, Chap. 2, pp. 17-90.
8. Evans I.S. (1975) - The effect of resolution on gradients calculated from an altitude matrix. Report 3 on Grant DA-ERO-591-73-G0040, 'Statistical characterization of altitude matrices by computer' (Appendix: Stationarity). Department of Geography, University of Durham, England, 24 pp.
9. Evans I.S. (1980) - An integrated system of terrain analysis and slope mapping. Zeitschrift für Geomorphologie N.F., Suppl.-Bd. 36, 274-295.
10. Evans I.S. & Cox N.J. (1999) - Relations between land surface properties: altitude, slope and curvature. In: Hergarten S., Neugebauer H.J. (eds.). «Process Modelling and Landform Evolution». Berlin, etc., Springer, pp. 13-45.
11. Flanagan D.C., Renschler C.S. & Cochrane T.A. (2000) - Application of the WEPP model with digital geographic information. Problems, Prospects and Research Needs. 4th International Conference on Integrating GIS and Environmental Modeling (GIS/EM4). Banff, Alberta, Canada, September 2 - 8, 2000, GIS/EM4 No. 149. Available at the website http://www.colorado. edu/research/cires/banff/pubpapers/149/
12. Gauss K.F. (1827) - Disquisitiones generales circa area superficies curvas. Gottingen gel. Anz., No. 177, pp. 1761-1768 (in Latin).
13. Jenson S.K. & Dominigue J.O. (1988) - Extracting topographic structure from digital elevation data for geographic information system analysis. Photogrammetric Engineering and Remote Sensing, 54, 1577-1580.
14. Klemeš V. (1983) - Conceptualization and scale in hydrology. Journal of Hydrology, 65, 1-23.
15. Koenderink J.J. & Van Doorn A.J. (1994) - Two-plus-one-dimensional differential geometry. Pattern Recognition Letters, 15, 439-443.
16. Krcho J. (1973) - Morphometric analysis of relief on the basis of geometric aspect of field theory. Acta Geographica Universitatis Comenianae, Geographico-Physica, 1, 7-233.
17. Krcho J. (1983) - Teoretická concepcia a interdisciplinarne aplikacie komplexného digitalneho modelu reliéfu pri modelovanï dvojdimenzionalnych poli. Geografický časopis, 35, 265-291 (in Slovak).
18. Mandelbrot B. (1967) - How long is the coast of Britain? Statistical self-similarity and fractional dimension. Science, 156, 636-638.
19. Mark D.M. (1979) - Topology of ridge patterns: Randomness and constraints. Geological Society of America Bulletin, Part I, 90, 164-172.
20. Martz L.W. & De Jong E. (1988) - CATCH: a Fortran program for measuring catchment area from digital elevation models. Computers and Geosciences, 14, 627-640.
21. Martz L.W. & De Jong E. (1990) - Natural radionuclides in the soils of a small agricultural basin in the Canadian Prairies and their association with topography, soil properties and erosion. Catena, 17, 85-96.
22. Mckenzie N.J. & Ryan P.J. (1999) - Spatial prediction of soil properties using environmental correlation. Geoderma, 89, 67-94.
23. Mitas L., Mitasova H., Brown W.M. & Astley M. (1996) - Interacting fields approach for evolving spatial phenomena: application to erosion simulation for optimized land use. Proceeding of the III International Conference on Integration of Environmental Modeling and GIS (Santa Fe, NM, USA). National Center for Geographic Information and Analysis: Santa Barbara CA. Available at the website: http://skagit.meas.ncsu.edu/ ~helena/gmslab/reports/CerlErosionTutorial/denix/Advanced/ InteractingFields/Ifields/index.html.
24. Mitas L., Brown W.M. & Mitasova H. (1997) - Role of dynamic cartography in simulations of landscape processes based on multi-variate fields. Computers and Geosciences, 23, 437-446.
25. Mitas L. & Mitasova H. (1998) - Distributed soil erosion simulation for effective erosion prevention. Water Resources Research, 34, 505-516.
26. Mitasova H. & Hofierka J. (1993) - Interpolation by regularized spline with tension. II. Application to terrain modeling and surface geometry analysis. Mathematical Geology, 25, 657-669.
27. Mitasova H., Hofierka J., Zlocha M. & Iverson R.L. (1996) - Modeling topographic potential for erosion and deposition using GIS. International Journal of Geographical Information Science, 10, 629-641.
28. Mitasova H., Mitas L., Brown W.M. & Johnston D. (1997) - GIS tools for erosion/deposition modeling and multidimensional visualization. Part IV: Processed based erosion simulation for spatially complex conditions and its applications to installations. Part V: Impact of transport capacity and terrain structures on erosion simulations. Report for USA CERL. Urbana-Champaign: University of Illinois, 1997. 30p. Available at the website: http://skagit.meas.ncsu.edu/~helena/gmslab/reports/ CerlErosionTutorial/denix/Advanced/ErosionRep97/rep97.html
29. Mitusov A.V. & Shary P.A. (2001) - Application of quantitative land surface analysis methods to soil water content spatial variability studies. In: K.-P. Seiler, S. Wohnlich (eds.). New Approaches Characterizing Groundwater Flow. Proceedings of the XXXI International Association of Hydrogeologists Congress, Munich, Germany, September 10-14, 2001. Swets and Zeitlinger Lisse/Abingdon/Exton/Tokyo: A.A. Balkema Publishers, 2001, Vol. 2, pp. 757-761.
30. Montgomery D.R. (1994) - Road surface drainage, channel initiation and slope instability. Water Resources Research, 30, 1925-1932.
31. Pennock D.J., Zebarth B.J. & De Jong E. (1987) - Landform classification and soil distribution in hummocky terrain, Saskatchewan, Canada. Geoderma, 40, 297-315.
32. Phillips J.D. (1988) - The role of spatial scale in geomorphic systems. Geographical Analysis, 20, 308-317.
33. Rafaelli S.G., Montgomery D.R. & Greenberg H.M. (2001) - A comparison of thematic mapping of erosional intensity to GIS-driven process models in an Andean drainage basin. Journal of Hydrology, 244, 33-42.
34. Rodhe A., Nyberg L. & Bishop K. (1996) - Transit times for water in a small till catchment from a step shift in the oxigen 18 content of the water input. Water Resources Research, 32, 3497-3511.
35. Ryan P.J., Mckenzie N.J., O'Connell D., Loughhead A.N., Leppert P.M., Jackuier D. & Ashton L. (2000) - Integrating forest soils information across scales: spatial prediction of soil properties under Australian forests. Forest Ecology and Management, 138, 139-157.
36. Sard A. (1942) - The measure of the critical values of differentiable maps. Bulletin of American Mathematical Society, 48, 883-890.
37. Schmidt J., Evans I.S. & Brinkmann J. (2003) - Comparison of polynomial models for land surface curvature calculation. International Journal of Geographical Information Science, 17, 797-814.
38. Sharaya L.S. & Shary P.A. (2003) - Use of morphometric statistics to describe internal geometry of gently sloping and mountaneous territories. Izvestiya Samarskogo nauchnogo centra RAS, 5, 278-286. (In Russian).
39. Shary P.A. & Stepanov I.N. (1991) - On the second derivative method in geology. Doklady of the USSR Academy of Sciencies 319, 456-460. (In Russian).
40. Shary P.A. (1995) - Land surface in gravity points classification by a complete system of curvatures. Mathematical Geology, 27, 373-390.
41. Shary P.A. (2001) - Analytical GIS Eco, help system and description. Available at the websites http://members.fortunecity.com/eco4/giseco/ and http://members.fortunecity.com/eco4/research_shary/
42. Shary P.A., Sharaya L.S. & Mitusov A.V. (2002a) - Fundamental quantitative methods of land surface analysis. Geoderma, 107, 1-32.
43. Shary P.A., Rukhovich O.V., Sharaya L.S. & Mitusov A.V. (2002b) - Soils and topography: accumulation zones and non-local approaches. Transactions of 17-th World Congress of Soil Science, «Soil Science: Confronting New Realities in the 21-st Century», held in Bangkok, Thailand, August 14-21, 2002. Volume IV. Symposium 48: «Development in soil data processing», Paper No.2310. Full paper: pp. 2310-1 - 2310-11, Abstract: p. 1493.
44. Speight J.G. (1968) - Parametric description of land form. Stewart G.A. (ed.), Land Evaluation. London: Macmillan, p. 239-250.
45. Speight J.G. (1974) - A parametric approach to landform regions. Progress in Geomorphology. Institute of British Geographers special publ. No.7. Oxford: Alden & Mowbray Ltd at the Alden Press, 1974, pp. 213-230.
46. Strahler A.N. (1952) - Hypsometric (area-altitude) analysis of erosional topography. Bulletin of the Geological Society of America, 63, 1117-1141.
47. Tomer M.D. & Anderson J.L. (1995) - Variation of soil water storage across a sand plain hillslope. Soil Science Society of America Journal, 59, 1091-1100.
48. Wigmosta M.S., Vail L.W. & Lettenmaier D.P. (1994) - A distributed hydrology-vegetation model for complex terrain. Water Resources Research, 30, 1665-1679.
49. Wilson J.P. & Gallant J.C. (eds.) (2000) - Terrain Analysis: Principles and Applications. New York: John Wiley & Sons Inc. 320 pp.
50. Young T. (1805) - An essay on the cohesion of fluids. Philosofical Transactions of the Royal Society of London, 95, 55-87.
51. Young M. (1978) - Terrain analysis: program documentation. Report 5 on Grant DA-ERO-591-73-G0040, 'Statistical characterization of altitude matrices by computer'. Department of Geography, University of Durham, England. 27 pp.
52. Zevenbergen L.W. & Thorne C.R. (1987) - Quantitative analysis of land surface topography. Earth Surface Processes and Landforms, 12, 47-56.