Abstract
A simulated loess watershed, where the loess material and relief properly represent the true loess surface, is adopted to investigate the variation in slope spectrum with loess watershed evolution. The evolution of the simulated loess watershed was driven by the exogenetic force of artificial rainfall. For a period of three months, twenty artificial rainfall events with different intensities and durations were carried out. In the process, nine DEM data sets, each with 10 mm grid resolution, were established by the method of close-range photogrammetry. The slope spectra were then extracted from these DEMs. Subsequent series of carefully designed quantitative analyses indicated a strong relationship between the slope spectrum and the evolution of the simulated loess watershed.
Quantitative indices of the slope spectrum varied regularly following the evolution of the simulated loess watershed. Mean slope, slope spectrum information entropy (H), terrain driving force (T d ), Mean patch area (AREA_MN), Contagion Index (CONTAG), and Patch Cohesion Index (COHESION) kept increasing following the evolution of the simulated watershed, while skewness (S), Perimeter-Area Fractal Dimension (PAFRAC), and Interspersion and Juxtaposition Index (IJI) represented an opposite trend. All the indices changed actively in the early and active development periods, but slowly in the stable development periods. These experimental results indicate that the time series of slope spectra was able to effectively depict the slope distribution of the simulated loess watershed, thus presenting a potential method for modeling loess landforms.
Similar content being viewed by others
References
Ben-Hur M, Keren R (1997). Polymer effects on water infiltration and soil aggregation. Soil Science Society of America Journal, 61(2): 565–570
Bishop M P, James L A, Shroder Jr J F, Walsh S J (2012). Geospatial technologies and digital geomorphological mapping: concepts, issues and research. Geomorphology, 137(1): 5–26
Borselli L, Torri D, Poesen J, Sanchis P S (2001). Effects of water quality on infiltration, runoff and interrill erosion processes during simulated rainfall. Earth Surf Process Landform, 26: 329–342
Bräutigam B, Zink M, Hajnsek I, Krieger G (2013). The TanDEM-X mission: earth observation in 3D. In: Proceeding of Geomorphometry 2013, http://www.geomorphometry.org/Braeutigam2013
Bryan R B, De Ploey J (1983). Comparability of soil erosion measurements with different laboratory rainfall simulators. In: de Ploey, ed. Rainfall Simulation, Runoff and Soil Erosion. Catena Supplement 4, Catena verlag, Cremlingen, WG: 33–56
Cui L Z (2002). The Coupling Relationship between the Sediment Yield from Rainfall Erosion and the Topographic Feature of theWatershed. Dissertation for PhD degree. Yanling: Northwest Agriculture & Forest University (in Chinese)
Dragut L, Eisank C, Strasser T (2011). Local variance for multi-scale analysis in geomorphometry. Geomorphology, 130(3–4): 162–172
Evans I S (2012). Geomorphometry and landform mapping: what is a landform? Geomorphology, 137(1): 94–106
Feng X M, Wang Y F, Chen L D, Fu B J, Bai G S (2010). Modeling soil erosion and its response to land-use change in hilly catchments of the Chinese Loess Plateau. Geomorphology, 118(3–4): 239–248
Florinsky I V (2002). Errors of signal processing in digital terrain modeling. International Journal of Geographical Information Science, 16(5): 475–501
Florinsky I V (2012). Digital Terrain Analysis in Soil Science and Geology. San Diego: Elsevier Academic Press
Hengl T, Reuter I H (2009). Geomorphometry: Concepts, Software, Application. Amsterdam: Elsevier press
Horton R E (1932). Drainage basin characteristics. Trans Am Geophys Union, 13(1): 350–361
Hu S X, Jin C X (1999). Theoretical analysis and experimental study on the critical slope of erosion. Acta Geographica Sinica, 54(4): 347–356 (in Chinese)
Jin D S (1995). Experiments and Simulations in Geomorphology. Beijing: Earthquake press (in Chinese)
Jing C X (1995). A theoretical study on critical erosion slope gradient. Acta Geographica Sinica, 50(3): 234–239 (in Chinese)
Leger M (1990). Loess landforms. Quat Int, 7–8: 53–61
Lei A L, Shi Y X, Tang K L (1996). Soil comparability in the simulation experiment of soil erosion model. Chin Sci Bull, 41(19): 1801–1804 (in Chinese)
Lei A L, Tang K L (1995). Rainfall comparability and realization in the simulation experiment of soil erosion model. Chin Sci Bull, 40(21): 2004–2006 (in Chinese)
Li C X, Shen J, Fan R S (1995). Characteristic analysis of rainfall spatial variability on small catchments in loess regions. Advances in Water Science, 6(2): 12–16 (in Chinese)
Li F Y (2007). Research on the Slope Spectrum and Its Spatial Distribution in the Loess Plateau. Dissertation for PhD degree. The Graduate University of Chinese Academy of Sciences, Beijing (in Chinese)
Li F Y, Tang G A (2006). DEM based research on the terrain driving force of soil erosion in the Loess Plateau. In: Gong J A, Zhang J X, eds. Proceedings of Geoinformatics 2006: Geospatial Information Science, 6420: 64201W1-8
Li Z L, Zhu Q, Gold C M (2005). Digital Terrain Modeling: Principles and Methodology. New York: CRC Press
Lin Z, Oguchi T (2009). Longitudinal and transverse profiles of hilly and mountainous watersheds in Japan. Geomorphology, 111(1–2): 17–26
Liu G, Xu W N, Liu P L, Yang M Y, Cai C F, Zhang Q (2012). Slope development of tableland in the Holocene on the Chinese Loess Plateau. J Food Agric Environ, 10(2): 1164–1167
Maune D F (2007). Digital Elevation Model Technologies and Applications: The Dem Users Manual (2nd ed). American Society for Photogrammetry and Remote Sensing Publisher
Richard J P (2000). Geomorphometry–diversity in quantitative surface analysis. Progress in Physical Geography, 24(1): 1–30
Tang G A, Jia Y N, Qumu W Z (2009). The terrain analysis based on profile line of catchment boundary of loess landform. International Postgraduate Conference on Infrastructure and Environment, 2009, Hongkong, China
Tang G A, Li F Y, Liu X J, Long Y, Yang X (2008). Research on the Slope Spectrum of the Loess Plateau. Science China Series E, 51(S1): 175–185
Wang WZ, Jiao J Y (1996). Rainfall Erosion in the Loess Plateau and the Yellow River Sediment. Beijing: Science China Press (in Chinese)
Wilson J P (2012). Digital terrain modeling. Geomorphology, 137(1): 107–121
Wilson J P, Gallant J C (2000). Terrain Analysis: Principles and Applications. New York: John Wiley & Sons
Xue Y N, Xu X Z, Wang R R, Chen F (2007). Principle and method to simulate rainfall with the similar kinetic energy. Science of Soil and Water Conservation, 5(6): 102–105 (in Chinese)
Zhang L P, Ma Z Z (1998). The research on the relation between gully density and cutting depth in different drainage landform evolution periods. Geographical research, 17(3): 273–278 (in Chinese)
Zhou P H, Wang Z L (1992). A study on rain storm causing soil erosion in the Loess Plateau. J Soil Water Conserv, 6(3): 1–5 (in Chinese)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Li, F., Tang, G., Wang, C. et al. Slope spectrum variation in a simulated loess watershed. Front. Earth Sci. 10, 328–339 (2016). https://doi.org/10.1007/s11707-015-0519-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11707-015-0519-2