Spatiotemporal Assessment of Soil Erosion Under Historical and Projected Land-Use Scenarios in the Myjava Basin, Slovakia
Abstract
1. Introduction
2. Materials and Methods
2.1. Study Area
2.2. Land-Use Data Sources and Processing
2.3. Rainfall-Runoff Erosion Factor (R Factor)
2.4. Soil Erodibility Factor (K Factor)
2.5. Slope Length–Steepness Factor (LS Factor)
- Ref. [21]: Original USLE formulation is the classical foundation of USLE that is most suitable for gentle to moderate slopes. However, it tends to overestimate erosion on steep terrains because flow accumulation is not explicitly included.Description:
- = slope length (m);
- = slope angle (degrees);
- = variable exponent (0.2–0.5) depending on slope gradient;
- for slope < 1%;
- for 1–3%;
- for 3–5%;
- for >5%.
- 2.
- Ref. [22]: Flow accumulation-based formulation introduced by Govers uses of specific catchment area (As) to represent actual flow length instead of a fixed slope length. It performs well on complex or convergent slopes and is less sensitive to local DEM irregularities, making it ideal for distributed models like USLE-2D.Description:
- = upslope contributing area per unit contour width (m2/m);
- = slope angle (radians).
- 3.
- Ref. [23]: Revised slope function (RUSLE adaptation); this modification improves accuracy for moderate to steep slopes, reducing the overestimation tendencies of the original Wischmeier formulation. It was later adopted in RUSLE [24] and remains a standard in many GIS-based implementations.Description:
- Same variable definitions as Wischmeier and provides a smoother response to steepness compared to the 1978 version.
- 4.
- Ref. [25]: Continuous slope function for extreme gradients. Nearing proposed a single continuous function that maintains physical realism for slopes exceeding 20°. It corrects discontinuities between moderate and steep classes, providing more stable LS estimates under extreme terrain conditions found in hilly catchments and dissected uplands.Description:
- and as defined previously.
2.6. Cover Management and Support Practice Factor (CP Factor)
2.7. Soil Erosion Calculation
2.8. Principal Component Analysis (PCA) Computation
2.9. Factor Loadings, Dominant Drivers, and Combined Influence Mapping
3. Results
3.1. Land-Use Change Dynamics (1787–2030)
3.2. Land Parcel
3.3. R Data
3.4. K Data
3.5. LS Data
3.6. C Data
3.7. P Factor
3.8. Soil Erosion in Myjava Basin
3.9. Principal Component Analysis (PCA) Result Computation
4. Discussion
4.1. Interpretation of PCA Variance Structure and Dominant Erosion Factors
4.2. Additional Insights from PCA Biplots
4.3. Influence of Land-Use Dynamics on Soil Erosion Processes
4.4. Model Integration and Uncertainty in Spatiotemporal Erosion Assessment
4.5. Limitations
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Abbreviations
| ANN | Artificial Neural Network |
| ASCII | American Standard Code for Information Interchange |
| BPEJ | Bonitované Pôdno-Ekologické Jednotky (Soil–Ecological Quality Units, Slovakia) |
| CA | Cellular Automata |
| CAP | Common Agricultural Policy (European Union) |
| C Factor | Cover Management Factor (USLE/RUSLE) |
| DEM | Digital Elevation Model |
| GIS | Geographic Information System |
| ha | Hectare |
| K Factor | Soil Erodibility Factor (USLE/RUSLE) |
| L Factor | Slope Length Factor (USLE/RUSLE) |
| LS Factor | Slope Length–Steepness Factor (USLE/RUSLE) |
| LULC | Land-Use and Land Cover |
| m a.s.l. | Metres Above Sea Level |
| MJ | Megajoule |
| P Factor | Support Practice Factor (USLE/RUSLE) |
| PCA | Principal Component Analysis |
| Pg yr−1 | Petagrams per Year |
| R Factor | Rainfall Erosivity Factor (USLE/RUSLE) |
| RUSLE | Revised Universal Soil Loss Equation |
| S Factor | Slope Steepness Factor (USLE/RUSLE) |
| S-JTSK | Slovenský Jednotný Trigonometrický Systém (Slovak National Coordinate System) |
| TIN | Triangulated Irregular Network |
| USLE | Universal Soil Loss Equation |
| USLE-2D | Two-Dimensional Universal Soil Loss Equation |
| Z-score | Standardized Score for Normalization |
References
- Borrelli, P.; Robinson, D.A.; Panagos, P.; Lugato, E.; Yang, J.E.; Alewell, C.; Wuepper, D.; Montanarella, L.; Ballabio, C. Land use and climate change impacts on global soil erosion by water (2015–2070). Proc. Natl. Acad. Sci. USA 2020, 117, 21994–22001. [Google Scholar] [CrossRef]
- Panagos, P.; Borrelli, P.; Meusburger, K.; Alewell, C.; Lugato, E.; Montanarella, L. Estimating the soil erosion cover-management factor at the European scale. Land Use Policy 2015, 48, 38–50. [Google Scholar] [CrossRef]
- Kumar, Y.; Kumar, S.; Kaushik, N.; Prakash, V.; Garg, K.; Nalia, M.; Ghosh, S. Recent advancements in climate change projections and socioeconomic scenarios used to evaluate climate impacts and adaptation measures. In Agriculture Toward Net Zero Emissions; Elsevier: Amsterdam, The Netherlands, 2025; pp. 425–440. [Google Scholar] [CrossRef]
- Valent, P.; Výleta, R. Estimating Rainfall Erosivity Factor Using Future Climate Projection in the Myjava Region (Slovakia). Acta Hortic. Et Regiotect. 2021, 24, 31–36. [Google Scholar] [CrossRef]
- Maliariková, M. Analýza zmien využitia územia pre odhad ich vplyvu na zmeny odtokového režimu v poľnohospodársky využívanom povodí. Ph.D. Thesis, Slovenská Technická Univerzita v Bratislave, Bratislava, Slovakia, 2024. [Google Scholar]
- Valent, P.; Rončák, P.; Maliariková, M.; Behan, Š. Utilization of Historical Maps in the Land Use Change Impact Studies: A Case Study from Myjava River Basin. Slovak J. Civ. Eng. 2016, 24, 15–26. [Google Scholar] [CrossRef]
- Hlavčová, K.; Danáčová, M.; Kohnová, S.; Szolgay, J.; Valent, P.; Výleta, R. Estimating the effectiveness of crop management on reducing flood risk and sediment transport on hilly agricultural land—A Myjava case study, Slovakia. Catena 2019, 172, 678–690. [Google Scholar] [CrossRef]
- Honek, D.; Michalková, M.Š.; Smetanová, A.; Sočuvka, V.; Velísková, Y.; Karásek, P.; Konečná, J.; Németová, Z.; Danáčová, M. Estimating sedimentation rates in small reservoirs—Suitable approaches for local municipalities in central Europe. J. Environ. Manag. 2020, 261, 109958. [Google Scholar] [CrossRef]
- Németová, Z.; Honek, D.; Kohnová, S.; Hlavčová, K.; Michalková, M.Š.; Sočuvka, V.; Velísková, Y. Validation of the EROSION-3D Model through Measured Bathymetric Sediments. Water 2020, 12, 1082. [Google Scholar] [CrossRef]
- Valent, P.; Výleta, R.; Danáčová, M. A Joint Sedimentation-Flood Retention Assessment of a Small Water Reservoir in Slovakia: A New Hope for Old Reservoirs? Geosciences 2019, 9, 158. [Google Scholar] [CrossRef]
- Toková, L.; Hološ, S.; Šurda, P.; Kollár, J.; Lichner, Ľ. Impact of Duration of Land Abandonment on Infiltration and Surface Runoff in Acidic Sandy Soil. Agriculture 2022, 12, 168. [Google Scholar] [CrossRef]
- Assede, E.S.P.; Orou, H.; Biaou, S.S.H.; Geldenhuys, C.J.; Ahononga, F.C.; Chirwa, P.W. Understanding Drivers of Land Use and Land Cover Change in Africa: A Review. Curr. Landsc. Ecol. Rep. 2023, 8, 62–72. [Google Scholar] [CrossRef]
- Selmy, S.A.H.; Kucher, D.E.; Mozgeris, G.; Moursy, A.R.A.; Jimenez-Ballesta, R.; Kucher, O.D.; Fadl, M.E.; Mustafa, A.-R.A. Detecting, Analyzing, and Predicting Land Use/Land Cover (LULC) Changes in Arid Regions Using Landsat Images, CA-Markov Hybrid Model, and GIS Techniques. Remote. Sens. 2023, 15, 5522. [Google Scholar] [CrossRef]
- Vîrghileanu, M.; Săvulescu, I.; Mihai, B.; Bizdadea, C.; Paraschiv, M. RUSLE-based scenarios for sustainable soil management: Case studies from Romanian Subcarpathians. Eur. J. Soil Sci. 2024, 75, e13526. [Google Scholar] [CrossRef]
- Munteanu, C.; Kuemmerle, T.; Keuler, N.S.; Müller, D.; Balázs, P.; Dobosz, M.; Griffiths, P.; Halada, L.; Kaim, D.; Király, G.; et al. Legacies of 19th century land use shape contemporary forest cover. Glob. Environ. Change 2015, 34, 83–94. [Google Scholar] [CrossRef]
- Špaček, Š. Seamless vector map 50. Kartogr. Listy 1999, 7, 71–74. (In Slovak) [Google Scholar]
- Lapin, A.; Paaschen, T.; Junghans, K.; Lübbert, A. Bubble column fluid dynamics, flow structures in slender columns with large-diameter ring-spargers. Chem. Eng. Sci. 2002, 57, 1419–1424. [Google Scholar] [CrossRef]
- Faško, P.; Handžák, Š.; Šrámková, N. Number of days with snow cover and its average height 1:2,000,000. In Landscape Atlas of the Slovak Republic; Miklós, L., Hrnčiarová, T., Eds.; Slovak Environmental Agency: Bratislava, Slovakia, 2002; Volume 99. [Google Scholar]
- Malíšek, A. Evaluation of the erosion effectiveness factor of a downpour. Geogr. časopis 1990, 42, 410–422. (In Slovak) [Google Scholar]
- Onderka, M.; Pecho, J. Update of the erosive rain factor in Slovakia using data from the period 1961–2009. Contrib. Geophys. Geod. 2019, 49, 355–371. [Google Scholar] [CrossRef]
- Wischmeier, W.H.; Smith, D.D. Predicting Rainfall Erosion Losses: A Guide to Conservation Planning; Handbook No. 537; The USDA Agricultural: Beltsville, MD, USA, 1978. [Google Scholar]
- Govers, G. Rill erosion on arable land in central Belgium: Processes and limiting factors. Catena 1991, 18, 133–145. [Google Scholar] [CrossRef]
- McCool, D.K.; Brown, L.C.; Foster, G.R.; Mutchler, C.K.; Meyer, L.D. Revised Slope Steepness Factor for the Universal Soil Loss Equation. Trans. ASAE 1987, 30, 1387–1396. [Google Scholar] [CrossRef]
- Renard, K.G. Predicting Soil Erosion by Water: A Guide to Conservation Planning with the Revised Universal Soil Loss Equation (RUSLE); United States Government Printing: Washington, DC, USA, 1997. [Google Scholar]
- Nearing, M.A. A Single, Continuous Function for Slope Steepness Influence on Soil Loss. Soil Sci. Soc. Am. J. 1997, 61, 917–919. [Google Scholar] [CrossRef]
- Li, W.; Li, P.; Yan, L.; Hu, J.; Wang, L.; Li, D.; Dan, Y.; Huang, L.; Zhao, G. Impacts of spatial resolutions of UAV-LiDAR-derived DEMs on erosion modelling in the hilly and gully Loess Plateau. Catena 2025, 255, 109059. [Google Scholar] [CrossRef]
- Zhang, J.X.; Chang, K.; Wu, J.Q. Effects of DEM resolution and source on soil erosion modelling: A case study using the WEPP model. Int. J. Geogr. Inf. Sci. 2008, 22, 925–942. [Google Scholar] [CrossRef]
- Alewell, C.; Borrelli, P.; Meusburger, K.; Panagos, P. Using the USLE: Chances, challenges and limitations of soil erosion modelling. Int. Soil Water Conserv. Res. 2019, 7, 203–225. [Google Scholar] [CrossRef]
- Gessler, P.E.; Moore, I.D.; McKenzie, N.J.; Ryan, P.J. Soil–landscape modelling and spatial prediction of soil attributes. Int. J. Geogr. Inf. Syst. 1995, 9, 421–432. [Google Scholar] [CrossRef]
- Putra, A.N.; Jaenudin; Prasetya, N.R.; Sugiarto, M.T.; Sudarto; Prayogo, C.; Maritimo, F.; Admajaya, F.T. Utilizing Remote Sensing and Random Forests to Identify Optimal Land Use Scenarios and Address the Increase in Landslide Susceptibility. Sustainability 2025, 17, 4227. [Google Scholar] [CrossRef]
- Németová, Z.; Honek, D.; Látková, T.; Michalková, M.Š.; Kohnová, S. An assessment of soil water erosion in the Myjava hill land: The application of a physically-based erosion model. Pollack Period. 2018, 13, 197–208. [Google Scholar] [CrossRef]
- Nosko, R.; Maliariková, M.; Brziak, A.; Kubáň, M. Formation of Gully Erosion in the Myjava Region. Slovak J. Civ. Eng. 2019, 27, 63–72. [Google Scholar] [CrossRef]
- Solín, Ľ.; Madajová, M.S.; Michaleje, L. Flood hazards in the headwaters area: Lessons learned from a survey of households in the upper Myjava basin, Slovakia. Water Policy 2017, 19, 1081–1096. [Google Scholar] [CrossRef]
- Jolliffe, I.T.; Cadima, J. Principal component analysis: A review and recent developments. Philos. Trans. R. Soc. A Math. Phys. Eng. Sci. 2016, 374, 20150202. [Google Scholar] [CrossRef]
- Yu, B.; Chen, F.; Xu, C. Landslide detection based on contour-based deep learning framework in case of national scale of Nepal in 2015. Comput. Geosci. 2020, 135, 104388. [Google Scholar] [CrossRef]
- Manojlović, S.; Sibinović, M.; Srejić, T.; Novković, I.; Milošević, M.V.; Gatarić, D.; Carević, I.; Batoćanin, N. Factors Controlling the Change of Soil Erosion Intensity in Mountain Watersheds in Serbia. Front. Environ. Sci. 2022, 10, 888901. [Google Scholar] [CrossRef]
- Toosi, N.B.; Soffianian, A.R.; Fakheran, S.; Waser, L.T. Waser, Mapping disturbance in mangrove ecosystems: Incorporating landscape metrics and PCA-based spatial analysis. Ecol. Indic. 2022, 136, 108718. [Google Scholar] [CrossRef]
- Kang, Y.; Wang, Z.; Xu, B.; Shen, W.; Chen, Y.; Zhou, X.; Liu, Y.; Zhang, T.; Wang, G.; Jia, Y.; et al. Disentangling the Response of Vegetation Dynamics to Natural and Anthropogenic Drivers over the Minjiang River Basin Using Dimensionality Reduction and a Structural Equation Model. Forests 2024, 15, 1438. [Google Scholar] [CrossRef]
- Panagos, P.; Ballabio, C.; Himics, M.; Scarpa, S.; Matthews, F.; Bogonos, M.; Poesen, J.; Borrelli, P. Projections of soil loss by water erosion in Europe by 2050. Environ. Sci. Policy 2021, 124, 380–392. [Google Scholar] [CrossRef]









| LULC Type | 1787 | 1869 | 1957 | 2010 | 2025C | 2025P | 2030 | |||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ha | % | ha | % | ha | % | ha | % | ha | % | ha | % | ha | % | |
| AL | 39,673 | 62% | 34,709 | 54% | 34,718 | 54% | 29,473 | 46% | 25,225 | 39% | 24,093 | 37% | 23,801 | 37% |
| BLF | 0 | 0% | 15,701 | 24% | 6631 | 10% | 14,252 | 22% | 16,374 | 25% | 15,914 | 25% | 16,761 | 26% |
| CF | 0 | 0% | 0 | 0% | 7418 | 12% | 6108 | 9% | 5612 | 9% | 6,27 | 10% | 7919 | 12% |
| MF | 14,037 | 22% | 0 | 0% | 2879 | 4% | 1633 | 3% | 1164 | 2% | 2027 | 3% | 0262 | 0% |
| NG | 8895 | 14% | 9706 | 15% | 5727 | 9% | 7756 | 12% | 6958 | 11% | 7214 | 11% | 6402 | 10% |
| TWS | 0 | 0% | 2489 | 4% | 3468 | 5% | 2251 | 3% | 7149 | 11% | 6809 | 11% | 6879 | 11% |
| UA | 1723 | 3% | 1722 | 3% | 3486 | 5% | 2855 | 4% | 1846 | 3% | 2001 | 3% | 2303 | 4% |
| Total | 64.328 ha | |||||||||||||
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Putra, A.N.; Výleta, R.; Danáčová, M.; Hlavčová, K.; Kohnová, S. Spatiotemporal Assessment of Soil Erosion Under Historical and Projected Land-Use Scenarios in the Myjava Basin, Slovakia. Water 2026, 18, 254. https://doi.org/10.3390/w18020254
Putra AN, Výleta R, Danáčová M, Hlavčová K, Kohnová S. Spatiotemporal Assessment of Soil Erosion Under Historical and Projected Land-Use Scenarios in the Myjava Basin, Slovakia. Water. 2026; 18(2):254. https://doi.org/10.3390/w18020254
Chicago/Turabian StylePutra, Aditya Nugraha, Roman Výleta, Michaela Danáčová, Kamila Hlavčová, and Silvia Kohnová. 2026. "Spatiotemporal Assessment of Soil Erosion Under Historical and Projected Land-Use Scenarios in the Myjava Basin, Slovakia" Water 18, no. 2: 254. https://doi.org/10.3390/w18020254
APA StylePutra, A. N., Výleta, R., Danáčová, M., Hlavčová, K., & Kohnová, S. (2026). Spatiotemporal Assessment of Soil Erosion Under Historical and Projected Land-Use Scenarios in the Myjava Basin, Slovakia. Water, 18(2), 254. https://doi.org/10.3390/w18020254

