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Morphological characteristics and evolution model of slope units along loess gully cross section

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Abstract

Gully morphology is an important part of loess landform research. Along with gully development, the variation of its cross section is the most significant, and it can intuitively reflect the characteristics of the lateral widening of the gully slope. Therefore, in-depth research of the variation of the cross-sectional morphology of the gully is helpful to understanding the development process of the loess gully. Based on the DEMs (Digital Elevation Model) of nine periods of an indoor simulated loess small watershed, this paper studies the evolution model of a complete branch ditch in the watershed using the digital terrain analysis theory and method. Results show that with the development of the gully, the average gradient of the gully slope continuously decreases, and the slope morphology is mostly a concave slope along the slope direction. The degree of downward concave first increases and then gradually tends to be gentle. The gully erosion mode is gradually transformed from downward cutting erosion to lateral erosion. The more mature the gully development, the lower the depth of gully bottom cutting is compared with the width of gully widening. Furthermore, the surface cutting depth tends to be stable and the slope is stable. Then, the transformation law of the slope morphology of the gully cross section with the development of the gully is studied, and the prediction model of the transformation of the slope morphology of the gully cross section is established by using the Markov chain. The Markov model can better reflect the dynamic change of the slope morphology of the gully cross section, which is of great significance to revealing the external performance and internal mechanism of the gully morphology.

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References

  • Balzter H (2000). Markov chain models for vegetation dynamics. Ecol Modell, 126(2–3): 139–154

    Article  Google Scholar 

  • Berger C, Schulze M, Rieke-Zapp D, Schlunegger F (2010). Rill development and soil erosion: a laboratory study of slope and rainfall intensity. Earth Surf Process Landf, 35(12): 1456–1467

    Article  Google Scholar 

  • Berlin M M, Anderson R S (2007). Modeling of knickpoint retreat on the Roan Plateau, western Colorado. J Geophys Res, 112(F3): F03S06

    Article  Google Scholar 

  • Cao L X, Wang Y, Li Y, Li X (2021). Variations in rill morphology on unpaved road surfaces and their controlling factors. Earth Surf Process Landf, 46(8): 1586–1599

    Article  Google Scholar 

  • Chen J Q (2010). An Experimental Study on Loessial Hillslope Gully Erosion Devel Opment Process. Dissertation for the Master Degree. Yangling: Northwest A&F University

    Google Scholar 

  • Chen S M, Xiong L Y, Duan J Z, Tang G A (2021). Formation of asymmetrical loess gullies in the northeastern loess plateau of China. Earth Surf Process Landf, 46(4): 758–774

    Article  Google Scholar 

  • Cui L Z (2002). The Coupling Relationship Between the Sediment Yield from Rainfall Erosion and the Topographic Feature of the Watershed. Dissertation for the Doctoral Degree. Yangling: Northwest A&F University

    Google Scholar 

  • Douglas-Mankin K R, Roy S K, Sheshukov A Y, Biswas A, Gharabaghi B, Binns A, Rudra R, Shrestha N K, Daggupati P (2020). A comprehensive review of ephemeral gully erosion models. Catena, 195: 104901

    Article  Google Scholar 

  • Drăguţ L, Blaschke T (2006). Automated classification of landform elements using object-based image analysis. Geomorphology, 81(3–4): 330–344

    Article  Google Scholar 

  • Drăguţ L, Csillik O, Eisank C, Tiede D (2014). Automated parameterisation for multi-scale image segmentation on multiple layers. ISPRS J Photogramm Remote Sens, 88(100): 119–127

    Article  Google Scholar 

  • Drăguţ L, Tiede D, Levick S R (2010). ESP: a tool to estimate scale parameter for multiresolution image segmentation of remotely sensed data. Int J Geogr Inf Sci, 24(6): 859–871

    Article  Google Scholar 

  • Eisank C, Smith M, Hillier J (2014). Assessment of multiresolution segmentation for delimiting drumlins in digital elevation models. Geomorphology, 214(100): 452–464

    Article  Google Scholar 

  • Flanagan D C, Frankenberger J R, Ascough II J C (2012). WEPP: model use, calibration, and validation. Trans ASABE, 55(4): 1463–1477

    Article  Google Scholar 

  • Fox D M, Bryan R B (2000). The relationship of soil loss by interrill erosion to slope gradient. Catena, 38(3): 211–222

    Article  Google Scholar 

  • Frankl A, Poesen J, Scholiers N, Jacob M, Haile M, Deckers J, Nyssen J (2013). Factors controlling the morphology and volume (V)–length (L) relations of permanent gullies in the northern Ethiopian Highlands. Earth Surf Process Landf, 38(14): 1672–1684

    Article  Google Scholar 

  • Gabet E J, Bookter A (2008). A morphometric analysis of gullies scoured by post-fire progressively bulked debris flows in southwest Montana, USA. Geomorphology, 96(3–4): 298–309

    Article  Google Scholar 

  • Ghosh P, Mukhopadhyay A, Chanda A, Mondal P, Akhand A, Mukherjee S, Nayak S K, Ghosh S, Mitra D, Ghosh T, Hazra S (2017). Application of Cellular automata and Markov-chain model in geospatial environmental modeling–a review. Remote Sens Appl Soc Environ, 5: 64–77

    Google Scholar 

  • Govers G (1987). Spatial and temporal variability in rill development processes at the Huldenberg experimental site. Catena Suppl, 8: 17–33

    Google Scholar 

  • Guan D J, Gao W J, Watari K, Fukahori H (2008). Land use change of Kitakyushu based on landscape ecology and Markov model. J Geogr Sci, 18(4): 455–468

    Article  Google Scholar 

  • Guo M M, Yang B, Wang W L, Chen Z X, Wang W X, Zhao M, Kang H L (2019). Distribution, morphology and influencing factors of rills under extreme rainfall conditions in main land uses on the Loess Plateau of China. Geomorphology, 345: 106847

    Article  Google Scholar 

  • Hancock G R, Willgoose G R (2021). Predicting gully erosion using landform evolution models: insights from mining landforms. Earth Surf Process Landf, 46(15): 3271–3290

    Article  Google Scholar 

  • Heede B H (1970). Morphology of gullies in the Colorado Rocky Mountains. Intern Association Sci Hydrol Bullet, 15(2): 79–89

    Article  Google Scholar 

  • Iacono M, Levinson D, El-Geneidy A, Wasfi R (2015). A Markov Chain model of land use change. TeMA. J Land Use, Mobility and Environ, 8(3): 263–276

    Google Scholar 

  • Jing K (1986). Study on gully erosion in Loess Plateau. Sci Geograph Sin, 6(4): 340–347 (in Chinese)

    Google Scholar 

  • Karami A, Khoorani A, Noohegar A, Shamsi S R F, Moosavi V (2015). Gully erosion mapping using object-based and pixel-based image classification methods. Environ Eng Geosci, 21(2): 101–110

    Article  Google Scholar 

  • Li C R, Li F Y, Dai Z Y, Yang X, Cui X J, Luo L H (2020a). Spatial variation of gully development in the Loess Plateau of China based on the morphological perspective. Earth Sci Inform, 13(4): 1103–1117

    Article  Google Scholar 

  • Li C R, Yang X, Liu H L, Zhu H, Wei H, Na J M, Cui X J (2022a). Spatial distribution characteristics of discontinuous hillslope gullies on the Loess Plateau of China: a special focus on spoon gullies. Catena, 215: 106327

    Article  Google Scholar 

  • Li S J, Hu G H, Cheng X H, Xiong L Y, Tang G A, Strobl J (2022b). Integrating topographic knowledge into deep learning for the void-filling of digital elevation models. Remote Sens Environ, 269: 112818

    Article  Google Scholar 

  • Li S J, Xiong L Y, Tang G A, Strobl J (2020b). Deep learning-based approach for landform classification from integrated data sources of digital elevation model and imagery. Geomorphology, 354: 107045

    Article  Google Scholar 

  • Li X, Wang Z, Zhang S W, Yan Y (2007). Dynamics and spatial distribution of gully in the typical upland region of northeast China. Sci Geograph Sin, 27(4): 531–536 (in Chinese)

    Google Scholar 

  • 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, 148: 195–203

    Article  Google Scholar 

  • Luo L X (1956). Divide the geomorphic types of gully land and valley in the loess region of western Shanxi, northern Shaanxi and eastern Gansu. Acta Geogr Sin, 22(3): 201–222

    Google Scholar 

  • Lv G N, Xiong L Y, Chen M, Tang G A, Sheng Y H, Liu X J, Song Z Y, Lu Y Q, Yu Z Y, Zhang K, Wang M Z. (2017). Chinese progress in geomorphometry. J Geogr Sci, 27(11): 1389–1412

    Article  Google Scholar 

  • Martins A A, Cabral J, Cunha P P, Stokes M, Borges J, Caldeira B, Martins A C (2017). Tectonic and lithological controls on fluvial landscape development in central-eastern Portugal: insights from long profile tributary stream analyses. Geomorphology, 276: 144–163

    Article  Google Scholar 

  • Montgomery D R, Foufoula-Georgiou E (1993). Channel network source representation using digital elevation models. Water Resour Res, 29(12): 3925–3934

    Article  Google Scholar 

  • Morgan R, Quinton J N, Smith R E, Govers G, Poesen J, Auerswald K, Chisci G, Torri D, Styczen M E (1998). The European Soil Erosion Model (EUROSEM): a dynamic approach for predicting sediment transport from fields and small catchments. Earth Surface Process Landform, 23(6): 527–544

    Article  Google Scholar 

  • Mukai S (2017). Gully erosion rates and analysis of determining factors: a case study from the semi-rid main ethiopian rift valley. Land Degrad Dev, 28(2): 602–615

    Article  Google Scholar 

  • Na J M, Yang X, Li M, Ding H, Tang G A (2016). Progress in geomorphology research on young gully in Loess Plateau. Geogr Geo-Inf Sci, 32(4): 68–75 (in Chinese)

    Google Scholar 

  • Nachtergaele J, Poesen J (1999). Assessment of soil losses by ephemeral gully erosion using high-altitude (stereo) aerial photographs. Earth Surf Process Land, 24(8): 693–706

    Article  Google Scholar 

  • Nachtergaele J, Poesen J, Steegen A, Takken I, Beuselinck L, Vandekerckhove L, Govers G (2001). The value of a physically based model versus an empirical approach in the prediction of ephemeral gully erosion for loess-derived soils. Geomorphology, 40(3–4): 237–252

    Article  Google Scholar 

  • Paul S S, Li J, Wheate R, Li Y (2018). Application of object oriented image classification and Markov Chain modeling for land use and land cover change analysis. J Environ Inform, 31(1): 30–40

    Google Scholar 

  • Qin C Z, Zhu A X, Shi X, Li B L, Pei T, Zhou C H (2009). Quantification of spatial gradation of slope positions. Geomorphology, 110(3–4): 152–161

    Article  Google Scholar 

  • Ran H, Deng Q C, Zhang B, Liu H, Wang L, Luo M L, Qin F C (2018). Morphology and influencing factors of rills in the steep slope in Yuanmou Dry-Hot Valley (SW China). Catena, 165: 54–62

    Article  Google Scholar 

  • Rieke-Zapp D H, Nearing M A (2005). Slope shape effects on erosion: a laboratory study. Soil Sci Soc Am J, 69(5): 1463–1471

    Article  Google Scholar 

  • Royden L, Taylor Perron J (2013). Solutions of the stream power equation and application to the evolution of river longitudinal profiles. J Geophys Res Earth Surf, 118(2): 497–518

    Article  Google Scholar 

  • Sang L L, Zhang C, Yang J Y, Zhu D H, Yun W J (2011). Simulation of land use spatial pattern of towns and villages based on CA–Markov model. Math Comput Model, 54(3–4): 938–943

    Article  Google Scholar 

  • Sun L Y, Fang H Y, Qi D, Li J L, Cai Q G (2013). A review on rill erosion process and its influencing factors. Chin Geogr Sci, 23(4): 389–402

    Article  Google Scholar 

  • Sun L Y, Zhou J L, Cai Q G, Liu S X, Xiao J A (2021). Comparing surface erosion processes in four soils from the Loess Plateau under extreme rainfall events. Int Soil Water Conserv Res, 9(4): 520–531

    Article  Google Scholar 

  • Tang G A, Song X D, Li F Y, Zhang Y, Xiong L Y (2015). Slope spectrum critical area and its spatial variation in the Loess Plateau of China. J Geogr Sci, 25(12): 1452–1466

    Article  Google Scholar 

  • Tekwa I J, Laflen J M, Kundiri A M, Bala Alhassan A (2021). Evaluation of WEPP versus EGEM and empirical model efficiencies in predicting ephemeral gully erosion around Mubi area, Northeast Nigeria. Int Soil Water Conserv Res, 9(1): 11–25

    Article  Google Scholar 

  • Wang C, Xu W, Pei X F, Zhou X Y (2016). An unsupervised multi-scale segmentation method based on automated parameterization. Arab J Geosci, 9(15): 651

    Article  Google Scholar 

  • Wang T, He F, Zhang A, Gu L, Wen Y, Jiang W, Shao H (2014). A quantitative study of gully erosion based on object-oriented analysis techniques: a case study in Beiyanzikou catchment of Qixia, Shandong, China. Sci World J, 2014: 417325

    Google Scholar 

  • Woodward D E (1999). Method to predict cropland ephemeral gully erosion. Catena, 37(3–4): 393–399

    Article  Google Scholar 

  • Wu H Y, Xu X M, Zheng F L, Qin C, He X (2018). Gully morphological characteristics in the loess hilly-gully region based on 3D laser scanning technique. Earth Surf Process Landf, 43(8): 1701–1710

    Article  Google Scholar 

  • Xiong L Y, Tang G A, Strobl J, Zhu A X (2016). Paleotopographic controls on loess deposition in the Loess Plateau of China. Earth Surf Process Landf, 41(9): 1155–1168

    Article  Google Scholar 

  • Xiong L Y, Tang G A, Yang X, Li F Y (2021). Geomorphology-oriented digital terrain analysis: progress and perspectives. J Geogr Sci, 31(3): 456–476

    Article  Google Scholar 

  • Zhang L, Tang G A, Li F Y, Xiong L Y (2012). A review on research of loess shoulder-line. Geogr Geo-Inf Sci, 28(6): 44–48 (in Chinese)

    Google Scholar 

  • Zhang P, Yao W Y, Liu G B, Xiao P Q (2019). Experimental study on soil erosion prediction model of loess slope based on rill morphology. Catena, 173: 424–432

    Article  Google Scholar 

  • Zhou C H (2006). A Dictionary of Geomorphology. Beijing: China Water & Power Press

    Google Scholar 

  • Zhou Y, Wang Z T, Yang F (2020). Morphological characteristics of gully cross-section in the Loess Region based DEM: taking Yijun, Yan’an and Suide as cases. Sci Geograph Sin, 40(3): 455–465 (in Chinese)

    Google Scholar 

  • 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

    Article  Google Scholar 

  • Zhu L J, Zhu A X, Qin C Z, Liu J Z (2018). Automatic approach to deriving fuzzy slope positions. Geomorphology, 304: 173–183

    Article  Google Scholar 

  • Zucca C, Canu A, Della Peruta R (2006). Effects of land use and landscape on spatial distribution and morphological features of gullies in an agropastoral area in Sardinia (Italy). Catena, 68(2–3): 87–95

    Article  Google Scholar 

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Acknowledgment

We are grateful for the financial support from the National Natural Science Foundation of China (Grant Nos. 41930102 and 41571383). We sincerely appreciate the Editor’s encouragement. The constructive criticisms and suggestions from anonymous reviewers are also gratefully acknowledged.

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Authors and Affiliations

  1. School of Geography, Nanjing Normal University, Nanjing, 210023, China

    Lulu Liu, Fayuan Li, Xue Yang & Jianhua Cheng

  2. Jiangsu Center for Collaborative Innovation in Geographical Information Resource Development and Application, Nanjing, 210023, China

    Lulu Liu, Fayuan Li, Xue Yang & Jianhua Cheng

  3. Key Laboratory of Virtual Geographic Environment (Ministry of Education), Nanjing Normal University, Nanjing, 210023, China

    Lulu Liu, Fayuan Li, Xue Yang & Jianhua Cheng

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  1. Lulu Liu
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  2. Fayuan Li
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Correspondence to Fayuan Li.

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Liu, L., Li, F., Yang, X. et al. Morphological characteristics and evolution model of slope units along loess gully cross section. Front. Earth Sci. (2023). https://doi.org/10.1007/s11707-022-1033-y

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