Abstract
The aim of this study is geomorphometric relief classification of a temperate latitude upland area in Central Europe. The Silesian Upland represents diversified structural relief which contains a fan-shaped configuration of long thresholds and wide erosion depressions. A 20 m × 20 m digital elevation model (DEM) provided input data for the analysis. The k-median method was applied to examine morphometric variables of the relief. The aim of these activities was to identify clusters with objects of similar mathematical characteristics. These clusters were the basis of landform classification. Smaller numbers of clusters 4 transparently show hypsometric relationships. Key elements of the morphology of the area were clearly visible. The division into 6 clusters gives the best results—a detailed but clear image of the morphological diversity by distinguishing characteristic landform elements. The results for 8 clusters show significant background noise and are ambiguous, which makes them difficult to identify. Our research has confirmed that the k-median method is a useful tool for landform classifications. We determined optimal parameters of this method (filtering window size, DEM resolution, number of clusters, aspect influence).
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References
Alonso-Sarría F, Gomariz-Castillo F, Cánovas-García F (2018). A new approach to the openness index for landform characterization. Comput Geosci, 119: 68–79
Arrell K E (2001). A fuzzy k-means classification of elevation derivatives to extract the natural landforms in Snowdonia, Wales. In: Proceedings of 9th National Conference on GIS Research UK (GISRUK 2001)
Arrell K E, Fisher P F, Tate N J, Bastin L (2007). A fuzzy c-means classification of elevation derivatives to extract the morphometric classification of landforms in Snowdonia, Wales. Comput Geosci, 33(10): 1366–1381
Azanon J M, Delgado J, Gómez A (2004). Morphological terrain classification and analysis using geostatistical techniques. In: Proceedings of ISPRS Congress. Istanbul, 12–23
Biernat S, Haisig J, Lewandowski J, Wilanowski S (1980). Geologic Map of Poland 1:200000, sheet Częstochowa. Warszawa: Instytut Geologiczny
Broersen T, Peters R, Ledoux H (2017). Automatic identification of watercourses in flat and engineered landscapes by computing the skeleton of a LiDAR point cloud. Comput Geosci, 106: 171–180
Bukowska-Jania E (1983). Contemporary fluvial processes in the eastern part of Silesian Upland. Dissertation for the Doctoral Degree, Wrocławski: Uniwersytet Wrocławski (in Polish)
Burrough P A, Wilson J P, van Gaans P F M, Hansen A J (2001). Fuzzy k-means classification of topo-climatic data as an aid to forest mapping in the Greater Yellowstone Area, USA. Landsc Ecol, 16(6): 523–546
Chmal H (1976). Processes of the erosion forms development on the dumps of the coal mining in the Upper Silesian Basin. Dissertation for the Doctoral Degree, Wrocławski: Uniwersytet Wrocławski (in Polish)
Czajka W (2009). Database of the terrain elevations in DTED format. Kwartalnik BELLONA-90 lat geografii wojskowej (wydanie specjalne). MON, Warszawa, 26–30 (in Polish)
Dekavalla M, Argialas D (2017). Object-based classification of global undersea topography and geomorphological features from the SRTM30_PLUS data. Geomorphology, 288: 66–82
Deng Y (2007). New trends in digital terrain analysis: landform definition, representation and classification. Prog Phys Geogr, 31(4): 405–419
Dikau R (1989). The application of a digital relief model to landform analysis. In: Raper J F ed. Three dimensional applications in Geographical Information Systems. London: Taylor and Francis, 51–77
Dikau R, Brabb E E, Mark R M (1991). Landform classification of New Mexico by computer. Open File Report 91-634. U.S Geological Survey. 15
DMA (Defense Mapping Agency) (2000) Performance specification digital terrain elevation data (DTED)
Drăguţ L, Blaschke T (2006). Automated classification of landform elements using object-based image analysis. Geomorphology, 81(3–4): 330–344
Drăguţ L, Csillik O, Minár J, Evans I S (2013). Land-surface segmentation to delineate elementary forms from Digital Elevation Models. Geomorphometry, 16–20
Drăguţ L, Eisank C (2011). Object representations at multiple scales from digital elevation models. Geomorphology (Amst), 129(3–4): 183–189
Drăguţ L, Eisank C (2012). Automated object-based classification of topography from SRTM data. Geomorphology (Amst), 141–142(4): 21–33
DTED-2 (2001). Digital Elevation Model of Poland level 2. Warszawa
Dulias R (1994). Documentation of the group of the aeolian landforms between Woszczyce and Kleszczówka. Sosnowiec (in Polish)
Dulias R (1995). Dunes of the southern part of the Silesian Upland. In: Proceedings of III Zjazd Geomorfologów Polskich: procesy geomorfologiczn, Sosnowiec. 1, 19–20 (in Polish)
ESRI (Environmental Systems Research Institute) 2017. ArcGIS Desktop: Release 10.5. Redlands, CA
Evans I S (1972). General geomorphometry, derivatives of altitude and descriptive statistics. In: Chorley R ed. Spatial Analysis in Geomorphology. London: Methuen and Co., 17–91.
Evans I S, Cox N J (1999). Relation between Land Surface Properties: Altitude, Slope and Curvature. In: Hergarten S, Neugebauer H J eds. Process Modelling and Landform Evolution. Heidelberg: Springer, 13–45
Galon R, ed. (1972). Geomorphology of Poland vol. 2. Warszawa: PWN (in Polish)
Gilewska S (1963). Relief of the Mid-Triassic escarpment in the vicinity of Będzin. IG PAN, Prace Geograficzne nr 44, Warszawa: Wydawnictwa Geologiczne, 119 (in Polish)
Gillewska S (1972). Silesian-Małopolskie Uplands. In: Klimaszewski M ed. Geomorphology of Poland vol. 1. Warszawa: PWN, 232–339 (in Polish)
Gilewska S (1986). Geomorphological subdivision of Poland. Przegląd Geograficzny, 58(1–2): 15–40 (in Polish)
Gilewska S (1999a). Relief. In: Starkel L ed. Geografia Polski. Geography of Poland. Natural environment. Warszawa: PWN, 243–287 (in Polish)
Gilewska S (1999b). Development of the environment of Poland in Tertiary. In: Starkel L ed. Geography of Poland. Natural environment. Warszawa: PWN, 38–66 (in Polish)
Gilewska S, Klimek M (1997). Relief origin and age. 1: 1500000. IGiPZ PAN, Atlas Rzeczypospolitej, Warszawa: PPWK (in Polish)
Guzzetti F, Reichenbach P (1994). Toward the definition of topographic divisions for Italy. Geomorphology 11: 57–75
Haisig J, Wilanowski S (1979). Geologic Map of Poland 1:200000 sheet Kluczbork. Warszawa: Instytut Geologiczny
Hammond E H (1954). Small-scale continental landform maps. Ann Assoc Am Geogr, 44(1): 33–42
Hammond E H (1964). Analysis of properties in land form geography: an application to broad-scale land form mapping. Ann Assoc Am Geogr, 54(1): 11–19
Hornig A (1955a). Formy powierzchni ziemi stworzone przez człowieka na obszarze Wyżyny Śląskiej (Landforms made by human in the Silesian Upland area). In: Wrzosek A ed Górny Śląsk. Wydawnictwo Literackie, Kraków: 127–149 (in Polish)
Hornig A (1955b). On some monuments of inanimate nature of the Silesian Upland. Chrońmy przyrodę ojczystą 6: 8–18 (in Polish)
von Humboldt A (1849). Ansichten der Natur: mit wissenschaftlichen Erläuterungen. Stuttgart: J.G. Cotta’scher Verlag. 407
Hutchinson M F (1989). A new procedure for gridding elevation and stream line data with automatic removal of spurious pits. J Hydrol (Amst), 106(3–4): 211–232
Hutchinson M F (2011). ANUDEM Version 5.3. User Guide. Fenner School of Environment and Society, Australian National University
Iwahashi J, Pike R J (2007). Automated classification of topography from DEMs by an unsupervised nested-mean algorithm and a three-part geometric signature. Geomorphology, 86(3–4): 409–440
Jania J, Dulias R, Szypuła B, Tyc A (2014). Digital Geomorphological Map of Poland 1:100000, sheet Katowice. Poznań: GUGiK, Gepol
Jania J, Szczypek T (1980). An attempt to distinguish of the eolian sediments and landforms in the selected areas of the Silesian Highland by means of the photointerpretation. Fotointerpretacja w geografii 4: 25–40 (in Polish)
Jasiewicz J, Stepinski T F (2013). Geomorphons—a pattern recognition approach to classification and mapping of landforms. Geomorphology, 182: 147–156
Jenness J, Brost B, Beier P (2013). Land Facet Corridor Designer: Extension for ArcGIS. Flagstaff: Jenness Enterprises
Jorge M G, Brennand T A (2017). Semi-automated extraction of longitudinal subglacial bedforms from digital terrain models—two new methods. Geomorphology, 288: 148–163
Karaś C, Starkel L (1958). Extent of the Middle Polish glaciation in the southern part of the Silesian Upland) Przegląd Geograficzny, 30: 263–270 (in Polish)
Karaś-Brzozowska C (1960). Geomorphological characteristics of the Upper Silesian Industrial District. Warszawa: Biuletyn PAN (in Polish)
Karaś-Brzozowska C (1963). Extent of the Middle Polish glaciation in the Racibórz Basin. Przegląd Geograficzny, 35: 431–442 (in Polish)
Kaziuk H, Lewandowski J (1980). Geologic Map of Poland 1:200000 sheet Kraków. Warszawa: Instytut Geologiczny
Khan F (2012). An initial seed selection algorithm for k-means clustering of georeferenced data to improve replicability of cluster assignments for mapping application. Appl Soft Comput, 12(11): 3698–3700
Klimaszewski M (1947). Geomorphic map of the Southern Poland 1:1800000. Czas Geogr, 17: 133–182 (in Polish)
Klimaszewski M (1991). A geomorphological comparison of structural thresholds. Wrocław-Warszawa-Kraków: Dokumentacja Geograficzna (in Polish)
Klimaszewski M (1959) Geomorphological Map of the Uppersilesian Industrial Region, 1:50000. Warszawa: Komitet itd. GOP PAN (in Polish)
Klimaszewski M, ed. (1972) Geomorphology of Poland vol. 1. Warszawa: PWN (in Polish)
Klimek K (1966) Deglaciation of northern part of Silesia-Cracow Upland during the Middle-Polish glaciation. Warszawa: Prace Geograficzne IG PAN 53, 136 (in Polish)
Kondracki J (1951). Geomorphological map of Poland, 1:2000000. Przegląd Geograficzny 23 (in Polish)
Kondracki J (2001). Regional geography of Poland. Warszawa: PWN, 441 (in Polish)
Kotlicka G N, Kotlicki S (1979). Geologic Map of Poland 1:200000 sheet Gliwice. Warszawa: Instytut Geologiczny
Larose D T (2005). Discovering Knowledge in Data: an Introduction to Data Mining. New York: John Wiley & Sons, 240
Lewandowski J (1982). Extent of ice sheet of Middle-Polish glaciation in the Silesian Upland. Biuletyn Instytutu Geologicznego, 337(26): 115–136 (in Polish)
Lewandowski J (1987). Odra glaciation in the Silesian Upland. Biuletyn Geologiczny, 31: 247–301 (in Polish)
Liu F, Gao H, Pan B, Li Z, Su H (2019). Quantitative analysis of planation surfaces of the upper Yangtze River in the Sichuan-Yunnan Region, Southwest China. Front Earth Sci, 13(1): 55–74
Luo L, Mu L, Wang X, Li C, Ji W, Zhao J, Cai H (2013). Global detection of large lunar craters based on the CE-1 digital elevation model. Front Earth Sci, 7(4): 456–464
MacMillan R A, Shary P A (2009). Landforms and landform elements in geomorphometry. In: Hengl T, Reuter H I, eds. Geomorphometry. Concepts, Software, Applications. Amsterdam: Elsevier, 227–254
Mentlik P, Novotna M (2010). Elementary forms and ‘scientific reliability’ as an innovative approach to geomorphological mapping. Journal of Maps 6(1): 564–583
Minár J, Evans I S (2008). Elementary forms for land surface segmentation: the theoretical basis of terrain analysis and geomorphological mapping. Geomorphology, 95(3–4): 236–259
Mitášová H, Hofierka J, Zlocha M, Iverson R L (1996). Modelling topographic potential for erosion and deposition using GIS. Int J Geogr Inf Syst, 10(5): 629–641
Moore I D, Grayson R B, Ladson A R (1991). Digital terrain modelling: a review of hydrological, geomorphological, and biological applications. Hydrol Processes, 5(1): 3–30
MPHP (Digital Map of Hydrographical Division of Poland) (2010). IMiGW, Warszawa
Niemann K O, Howes D E (1991). Applicability of digital terrain models for slope stability assessment. ITC J, 3: 127–137
Ortuño M, Guinau M, Calvet J, Furdada G, Bordonau J, Ruiz A, Camafort M (2017). Potential of airborne LiDAR data analysis to detect subtle landforms of slope failure: Portainé, Central Pyrenees. Geomorphology, 295: 364–382
Pike R J (1988). The geometric signature: quantifying landslide-terrain types from digital elevation models. Math Geol, 20(5): 491–511
Piloyan A, Konečný M (2017). Semi-automated classification of landform elements in Armenia based on SRTM DEM using k-means unsupervised classification. Quaest Geogr, 36(1): 93–103
Speight J G (1990). Landform. In: McDonald R C, Isbell R F, Speight I G, Walker J, Hop M S eds. Australian Soil and Land Survey Field Handbook. Melbourne: Inkata Press, 9–57
Starkel L (1980). Geomorphological Outline Map of Poland, 1:500000. Warszawa: IGiZP PAN
Szaflarski J (1955). Overview of the relief development of the Silesian Upland. In: Wrzosek A ed. Górny Śląsk. Kraków: Wydawnictwo Literackie, 65–121 (in Polish)
Szczypek T (1977). Eolic activities and deposits in the southern part of the Silesian Upland. Katowice: Prace Naukowe (in Polish)
Szczypek T (1986a). Aeolian cover sands in the northern part of the Silesian Upland. Geographia. Studis and Dissertationes, 9: 45–56 (in Polish)
Szczypek T (1986b). Dune forming processes in the middle part of the Cracow-Wieluń Upland against a background of the neighbouring area. Katowice: Prace Naukowe UŚ 823. 183 (in Polish)
Szczypek T (1988). Aeolian activity in the eastern part of the Silesian Upland on the example of the Bukowno vicinity. Geographia. Studia et Dissertationes, 11: 7–22 (in Polish)
Szczypek T, Wach J (1991). Development of the modern dune in the strong human impact conditions. Katowice: Prace Naukowe (in Polish)
Szczypek T, Wach J (1992). Human impact and course of natural morphogenetic processes on the example of Silesian Upland. Kształtowanie środowiska geograficznego i ochrony przyrody na obszarach uprzemysłowionych i zurbanizowanych, 4: 5–12 (in Polish)
Szczypek T, Wach J (1993). Anthropogenic scarp dune at Bukowno on the Silesian Upland in the period 1989–1993. Katowice: Uniwersytet Śląski, 50 (in Polish)
Szypuła B (2009). Research on the rock strength of the Silesian Upland using Schmidt hammer. Geographia. Studia et Dissertationes, 31: 65–80 (in Polish)
Szypuła B (2017). Quantitative studies of the morphology of the south Poland using Relief Index (RI). Open Geosci, 9(1): 509–524
Tang G, Li F (2008). Landform classification of the loess plateau based on slope spectrum from grid DEMs. In: Advances in Digital Terrain Analysis (Lecture Notes in Geoinformation and Cartography), 107–124
Tobler W (1970). A computer movie simulating urban growth in the Detroit region. Econ Geogr, 46(2): 234–240
Urbański J (2012). GIS in the environmental research. Gdańsk: Uniwersytetu Gdańskiego, 252 (in Polish)
Van Lopik J R, Kolb C R (1959). A technique for preparing desert terrain analogs. U.S. Army Engineer Waterways Experiment Station. Vicksburg, MS, Tech. Rept. 3–506
Weiss A (2001). Topographic Position and Landform Analysis. Poster presentation, In: ESRI User Conference. San Diego
Wieczorek M (2008). The classification of landforms based on Digital Elevation Model. Dissertation for the Doctoral Degree. Wrocław: Uniwersytet Wrocławski, 104 (in Polish)
Wieczorek M (2011). An influence of spatial range of input data set on terrain relief form classification homogeneity for glacial area. In: Ruas A ed. Advances in Cartography and GIScience, Vol. 2 Selection from ICC 2011. Paris: Springer, 357–369
Wieczorek M, Migoń P (2014). Automatic relief classification versus expert and field based landform classification for the medium-altitude mountain range, the Sudetes, SW Poland. Geomorphology, 206: 133–146
Wilson J P, Gallant J (2000). Terrain Analysis. Principles and Applications. London: John Wiley & Sons Inc., 479
Wood W F, Snell J B (1960). A quantitative system for classifying landforms. Technical Report EP-124. U.S. Army Quartermaster Research and Engineering Center, 20
Yang X, Li M, Na J, Liu K (2017). Gully boundary extraction based on multidirectional hill-shading from high-resolution DEMs. Trans GIS, 21(6): 1204–1216
Żmuda S (1973). Anthropogenic changes in the natural environment of the Upper Silesian conurbation. Warszawa-Kraków: PWN, 207 (in Polish)
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Szypuła, B., Wieczorek, M. Geomorphometric relief classification with the k-median method in the Silesian Upland, southern Poland. Front. Earth Sci. 14, 152–170 (2020). https://doi.org/10.1007/s11707-019-0765-9
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DOI: https://doi.org/10.1007/s11707-019-0765-9