Bank gully extraction from DEMs utilizing the geomorphologic features of a loess hilly area in China

Abstract

As one of most active gully types in the Chinese Loess Plateau, bank gullies generally indicate soil loss and land degradation. This study addressed the lack of detailed, large scale monitoring of bank gullies and proposed a semi-automatic method for extracting bank gullies, given typical topographic features based on 5 m resolution DEMs. First, channel networks, including bank gullies, are extracted through an iterative channel burn-in algorithm. Second, gully heads are correctly positioned based on the spatial relationship between gully heads and their corresponding gully shoulder lines. Third, bank gullies are distinguished from other gullies using the newly proposed topographic measurement of “relative gully depth (RGD).” The experimental results from the loess hilly area of the Linjiajian watershed in the Chinese Loess Plateau show that the producer accuracy reaches 87.5%. The accuracy is affected by the DEM resolution and RGD parameters, as well as the accuracy of the gully shoulder line. The application in the Madigou watershed with a high DEM resolution validated the duplicability of this method in other areas. The overall performance shows that bank gullies can be extracted with acceptable accuracy over a large area, which provides essential information for research on soil erosion, geomorphology, and environmental ecology.

Keywords

bank gully / DEMs / topographic features / loess shoulder line / relative gully depth

References

[1] Afana A, del Barrio G (2009). An adaptive approach for channel network delineation from digital elevation models. In: Proceedings of Geomorphometry. Zurich, 224–230

[2] Barnes R, Lehman C, Mulla D (2014). Priority-flood: an optimal depression-filling and watershed-labeling algorithm for digital elevation models. Comput Geosci, 62(1): 117–127

[3] Benaïchouche A, Stab O, Tessier B, Cojan I (2016). Evaluation of a landscape evolution model to simulate stream piracies: insights from multivariable numerical tests using the example of the Meuse basin, France. Geomorphology, 253: 168–180

[4] Betts H D, Trustrum N A, Rose R C D (2003). Geomorphic changes in a complex gully system measured from sequential digital elevation models, and implications for management. Earth Surf Process Landf, 28(10): 1043–1058

[5] Cao M, Tang G A, Zhang F, Yang J (2013). A cellular automata model for simulating the evolution of positive–negative terrains in a small loess watershed. Int J Geogr Inf Sci, 27(7): 1349–1363

[6] Castillo C, Gómez J (2016). A century of gully erosion research: urgency, complexity and study approaches. Earth Sci Rev, 160: 300–319

[7] Chen L, Wei W, Fu B, Lü Y (2007). Soil and water conservation on the Loess Plateau in China: review and perspective. Prog Phys Geogr, 31(4): 389–403

[8] Congalton R G (1991). A review of assessing the accuracy of classifications of remotely sensed data. Remote Sens Environ, 37(1): 35–46

[9] Coppola E, Tomassetti B, Mariotti L, Verdecchia M, Visconti G (2007). Cellular automata algorithms for drainage network extraction and rainfall data assimilation. Hydrol Sci J, 52(3): 579–592

[10] Dunkerley D (1997). Banded vegetation: development under uniform rainfall from a simple cellular automaton model. Plant Ecol, 129(2): 103–111

[11] Evans M, Lindsay J (2010). High resolution quantification of gully erosion in upland peatlands at the landscape scale. Earth Surf Process Landf, 35(8): 876–886

[12] Fairfield J, Leymarie P (1991). Drainage networks from grid digital elevation models. Water Resour Res, 27(5): 709–717

[13] Gan Z M (1990). Geomorphology and Soil Erosion Research in Loess Plateau of China. Xi’an: Shaanxi People’s Publishing House (in Chinese)

[14] Garbrecht J, Martz L (1997). The assignment of drainage direction over flat surfaces in raster digital elevation models. J Hydrol (Amst), 193(1–4): 204–213

[15] Harvey A (2001). Coupling between hillslopes and channels in upland fluvial systems: implications for landscape sensitivity, illustrated from the Howgill Fells, northwest England. Catena, 42(2): 225–250

[16] Harvey A M (2002). Effective timescales of coupling within fluvial systems. Geomorphology, 44(3–4): 175–201

[17] Hellweger F (1997). AGREE-DEM surface reconditioning system. Dissertation for PhD degree. University of Texas at Austin

[18] Hessel H (2002). Modelling Soil Erosion in a Small Catchment on the Chinese Loess Plateau. Dissertation for PhD degree. University Utrecht, 61

[19] Hessel R, van Asch T (2003). Modelling gully erosion for a small catchment on the Chinese Loess Plateau. Catena, 54(1): 131–146

[20] Hu G, Wu Y Q (2005). Progress in the study of geomorphic threshold theory in channel (gully) erosion. Mountain Research, 23(5): 565–570 (in Chinese)

[21] Jiang L, Tang G A, Zhao M W, Song X D (2013). Extraction and analysis of loess gully heads considering geomorphological structures. Geogr Res, 32(11): 2153–2162 (in Chinese)

[22] Jing K (1986). A study on gully erosion on the Loess Plateau. Scientia Geographica Sinica, 6: 340–347 (in Chinese)

[23] Jones R (2002). Algorithms for using a DEM for mapping catchment areas of stream sediment samples. Comput Geosci, 28(9): 1051–1060

[24] Knight J, Spencer J, Brooks A, Phinn S (2007). Large-area, high-resolution remote sensing-based mapping of alluvial gully erosion in Australia’s tropical rivers. In: Proceedings of the 5th Australian Stream Management Conference. New South Wales:199–204

[25] Lashermes B, Foufoula‒Georgiou E, Dietrich W E (2007). Channel network extraction from high resolution topography using wavelets. Geophys Res Lett, 34: L23S04

[26] Li B, Huang L, Feng L, Ma D (2014). Uncertainty of gully sediment budgets based on laser point cloud data. Transactions of the Chinese Society of Agricultural Engineering, 30(17): 183–191 (in Chinese)

[27] Li Y, Poesen J, Yang J C, Fu B, Zhang J H (2003). Evaluating gully erosion using ¹³⁷Cs and ²¹⁰Pb/¹³⁷Cs ratio in a reservoir catchment. Soil Tillage Res, 69(1): 107–115

[28] Li Z, Zhang Y, Yao W J, Zhu Q K (2011). Estimating gully development rates in hilly loess region of western Shanxi Province based on Quickbird images. Transactions of the Chinese Society of Agricultural Engineering, 28(22): 141–148 (in Chinese)

[29] Li Z, Zhang Y, Zhu Q K, He Y M, Yao W J (2015). Assessment of bank gully development and vegetation coverage on the Chinese Loess Plateau. Geomorphology, 228: 462–469

[30] Li Z, Zhang Y, Zhu Q K, Yang S, Li H J, Ma H (2017). A gully erosion assessment model for the Chinese Loess Plateau based on changes in gully length and area. Catena, https://doi.org/10.1016/j.catena.2016.04.018

[31] Liang C, MacKay D S (2000). A general model of watershed extraction and representation using globally optimal flow paths and up-slope contributing areas. Int J Geogr Inf Sci, 14(4): 337–358

[32] Liu D S (1985). Loess and Environment. Beijing: Science Press

[33] Liu Y B, Zhu X M, Zhou P H, Tang K L (1988). The law of hillslope channel erosion occurrence and development on loess plateau. Research of Soil and Water Conservation, 7: 9–18 (in Chinese)

[34] Luo L X (1956). A tentative classification of landforms in the loess plateau. Acta Geogr Sin, 22(3): 201–222 (in Chinese)

[35] Martínez-Casasnovas J (2003). A spatial information technology approach for the mapping and quantification of gully erosion. Catena, 50(2): 293–308

[36] Martz L W, Garbrecht J (1992). Numerical definition of drainage network and subcatchment areas from digital elevation models. Comput Geosci, 18(6): 747–761

[37] Metternicht G, Zinck J (1998). Evaluating the information content of JERS-1 SAR and Landsat TM data for discrimination of soil erosion features. ISPRS J Photogramm Remote Sens, 53(3): 143–153

[38] Na J M, Yang X, Li M, Ding H, Tang G A (2016). Progress in geomorphology research on young gully in loess plateau. Geography and Geo-Information Science, 32(4): 68–75 (in Chinese)

[39] Nyssen J, Poesen J, Moeyersons J, Luyten E, Veyret-Picot M, Deckers J, Haile M, Govers G (2002). Impact of road building on gully erosion risk: a case study from the northern Ethiopian highlands. Earth Surf Process Landf, 27(12): 1267–1283

[40] O’Callaghan J F, Mark D M (1984). The extraction of drainage networks from digital elevation data. Comput Vis Graph Image Process, 28(3): 323–344

[41] Oostwoud Wijdenes D J, Poesen J, Vandekerckhove L, Ghesquiere M (2000). Spatial distribution of gully head activity and sediment supply along an ephemeral channel in a Mediterranean environment. Catena, 39(3): 147–167

[42] Persendt F, Gomez C (2016). Assessment of drainage network extractions in a low-relief area of the Cuvelai Basin (Namibia) from multiple sources: LiDAR, topographic maps, and digital aerial orthophotographs. Geomorphology, 260(s 1–2): 32–50

[43] Poesen J, Nachtergaele J, Verstraeten G, Valentin C (2003). Gully erosion and environmental change: importance and research needs. Catena, 50(2–4): 91–133

[44] Rengers F, Tucker G, Mahan S (2016). Episodic bedrock erosion by gully-head migration, Colorado High Plains, USA. Earth Surf Process Landf, 41(11): 1574–1582

[45] Saunders W (1999). Preparation of DEMs for use in environmental modeling analysis. In: ESRI User Conference. Beijing: China Cartographic Publishing House, 24–30

[46] Schumm S A (1956). Evolution of drainage systems and slopes in badlands at Perth Amboy, New Jersey. Geol Soc Am Bull, 67(5): 597–646

[47] Seginer I (1966). Gully development and sediment yield. J Hydrol (Amst), 4(4): 236–253

[48] Shruthi R B, Kerle N, Jetten V (2011). Object-based gully feature extraction using high spatial resolution imagery. Geomorphology, 134(3): 260–268

[49] Shruthi R B, Kerle N, Jetten V, Abdellah L, Machmach I (2015). Quantifying temporal changes in gully erosion areas with object-oriented analysis. Catena, 128: 262–277

[50] Shruthi R B, Kerle N, Jetten V, Stein A (2014). Object-based gully system prediction from medium resolution imagery using Random Forests. Geomorphology, 216: 283–294

[51] Sidorchuk A (1999). Dynamic and static models of gully erosion. Catena, 37(3–4): 401–414

[52] Song X D, Tang G A, Li F Y, Jiang L, Zhou Y, Qian K J (2013). Extraction of loess shoulder-line based on the parallel GVF snake model in the loess hilly area of China. Comput Geosci, 52(1): 11–20

[53] Stolte J, Liu B, Ritsema C, Van den Elsen H, Hessel R (2003). Modelling water flow and sediment processes in a small gully system on the Loess Plateau in China. Catena, 54(1): 117–130

[54] Strahler A (1963). The Earth. NY: Sciences, Harper and Row, 557

[55] Strahler A N (1957). Quantitative analysis of watershed geomorphology. Eos (Wash DC), 38(6): 913–920

[56] Tang G A, Xiao C C, Jia D X, Yang X (2007). DEM based investigation of loess shoulder-line. In: Geoinformatics 2007: Geospatial Information Science. Nanjing: SPIE, 67532E

[57] Tarboton D G (1997). A new method for the determination of flow directions and upslope areas in grid digital elevation models. Water Resour Res, 33(2): 309–319

[58] Tarboton D G, Bras R L, Rodriguez-Iturbe I (1991). On the extraction of channel networks from digital elevation data. Hydrol Processes, 5(1): 81–100

[59] Turcotte R, Fortin J P, Rousseau A, Massicotte S, Villeneuve J P (2001). Determination of the drainage structure of a watershed using a digital elevation model and a digital river and lake network. J Hydrol (Amst), 240(3–4): 225–242

[60] Valentin C, Poesen J, Li Y (2005). Gully erosion: impacts, factors and control. Catena, 63(2): 132–153

[61] Wang L, Liu H (2006). An efficient method for identifying and filling surface depressions in digital elevation models for hydrologic analysis and modelling. Int J Geogr Inf Sci, 20(2): 193–213

[62] Wolman M G, Gerson R (1978). Relative scales of time and effectiveness of climate in watershed geomorphology. Earth Surf Processes, 3(2): 189–208

[63] Wondzell S M, Cunningham G L, Bachelet D (1996). Relationships between landforms, geomorphic processes, and plant communities on a watershed in the northern Chihuahuan Desert. Landsc Ecol, 11(6): 351–362

[64] Wu Y, Cheng H (2005). Monitoring of gully erosion on the Loess Plateau of China using a global positioning system. Catena, 63(2–3): 154–166

[65] Wu Y, Zheng Q, Zhang Y, Liu B, Cheng H, Wang Y (2008). Development of gullies and sediment production in the black soil region of northeastern China. Geomorphology, 101(4): 683–691

[66] Yan S J, Tang G A, Li F Y, Zhang L (2014). Snake model for the extraction of loess shoulder-line from DEMs. J Mt Sci, 11(6): 1552–1559

[67] Zhang W, Yang X, Tang G A, Zhu S J, Li C L (2012). DEM-based flow direction algorithms study of stream extraction and watershed delineation in the low relief areas. Science of Surveying and Mapping, 37(2): 94–96 (in Chinese)

[68] Zhang Y, Yang S, Li Z, Li H, He Y (2015). Effect of narrow terrace on gully erosion in Northern Shaanxi loess area. Transactions of the Chinese Society of Agricultural Engineering, 31(7): 125–130 (in Chinese)

[69] Zhao J, Amerce M, Chen L, Govers G (2016). Vegetation cover and topography rather than human disturbance control gully density and sediment production on the Chinese Loess Plateau. Geomorphology, 274: 92–105

[70] Zhou G, Sun Z, Fu S (2016). An efficient variant of the priority-flood algorithm for filling depressions in raster digital elevation models. Comput Geosci, 90: 87–96

[71] Zhou Y, Tang G A, Yang X, Xiao C C, Zhang Y, Luo M L (2010). Positive and negative terrains on northern Shaanxi Loess Plateau. J Geogr Sci, 20(1): 64–76

[72] Zhu H C, Tang G A, Qian K J, Liu H Y (2014). Extraction and analysis of gully head of Loess Plateau in China based on Digital Elevation Model. Chin Geogr Sci, 24(3): 328–338

[73] Zhu X M (1956). Classification on the soil erosion in the loess region. Acta Pedologica Sinica, 4: 99–115 (in Chinese)

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