Keywords
soil redistribution
conversion model
fallout radionuclides
How to Cite
Abstract
The use of nuclear techniques for the evaluation of soil water erosion is based on empirical relations to evaluate inventories of radionuclides in the soil (137Cs, 210Pb and 7Be). In applying the fallout radionuclides technique (FRN) to croplands, the most widely used model is the Mass Balance Model (MBM-II), which employs 137Cs isotope inventories (Bq m-2) to estimate soil redistribution rate. This work develops a mathematical model (MRS-2) to obtain this soil redistribution rate, yielding results comparable to those of MBM-II. The model estimates the soil redistribution rate based on areal activity density (AAD) values (Bq m-2) used in FRN techniques. This linear model is notable for its internal and external validation, providing reliable estimates of soil redistribution rate down to values of -60 t ha-1 y-1. Its use is therefore recommended.
References
[1] J.L. Peralta Vital, R.H. Gil Castillo, Y. Llerena Padrón, Y.M. Cordoví Miranda, N. Labrada Arevalo, L. Alonso Pino. Soil erosion assessment using nuclear techniques. Int. Soil Water Conserv. Res. 8(4), 406–409 (2020).
[2] J.L. Peralta Vital, L.E. Calvo Gobbetti, Y. Llerena Padrón, F.H. Martínez Luzardo, O. Díaz Rizo, R. Gil Castillo. Application of environmental radionuclides for soil redistribution studies. Appl. Sci. 14, 9189 (2024).
[3] Z. Hussain, L. Deng, X. Wang, R. Cui, G. Liu. Environmental radionuclides as tracers for soil erosion assessment. Sustainability 14(15), 9300 (2022).
[4] J. Li, M. Xiong, R. Sun, L. Chen. Advances in soil erosion monitoring techniques. Int. Soil Water Conserv. Res. 12, 1–12 (2024).
[5] K. Ghosal, S. Das Bhattacharya. Remote sensing applications for soil erosion assessment. J. Indian Soc. Remote Sens. 48, 689–707 (2020).
[6] R. Benavidez, B. Jackson, D. Maxwell, K. Norton. Global assessment of soil erosion using environmental
radionuclides. Hydrol. Earth Syst. Sci. 22, 6059–6086 (2018).
[7] R.S. Padala, A.J. Mathew. Climate change impacts on soil erosion patterns. Water Clim. Change 15(7), 3138–3157 (2024).
[8] J. Soto, A. Navas. Soil erosion rates using fallout radionuclides. Radiat. Meas. 43(7), 1285–1293 (2008).
[9] I.L. Villuendas, B. Latorre, L. Gaspar, A. Navas. Spatial variability of soil erosion in agricultural landscapes. Hydrol. Processes 36(3), e14577 (2022).
[10] M. Cabrera, R. Sanabria, J. Gonz´alez, P. Cabral, S. Tejeda, Z. Graciela, M. Tassano. Soil erosion assessment in tropical regions. Geoderma 435, 116502 (2023).
[11] FAO. The state of the world’s land and water resources for food and agriculture: Systems at breaking point (2021). https://doi.org/10.4060/cb7654es
[12] Y. Llerena Padrón, R. Gil Castillo, J.L. Peralta Vital, Y. Cordoví Miranda, L. Bravo Leyva, A. Fuentes Soto. Soil erosion assessment in Cuban agricultural systems. Nucleus 72 (2022).
[13] S. Kumar, A.D. Raj, S. Mariappan. Soil erosion modeling using machine learning techniques. Catena 234, 107591 (2024).
[14] K. Haejin, O.K. Kyeong, K. Sang-Yeob, S. Kyung-Suk, K. Kyonghwan. Marine pollution assessment using radionuclide tracers. Mar. Pollut. Bull. 212, 117562 (2025).
[15] J.M. Abril-Hernández. Sediment transport in coastal ecosystems. J. Mar. Sci. Eng. 13(1), 144 (2025).
[16] IAEA. IAEA and FAO Celebrate 60-Year Milestone in Advancing Nuclear Techniques for Agriculture (2024). https://www.iaea.org/newscenter/news/iaea-and-fao-celebrate-60-year-milestone-in-advancing-nuclear-techniques-for-agriculture
[17] F. Zapata, E. García-Agudo, J.C. Ritchie, P.G. Aplub. Handbook for the assessment of soil erosion and sedimentation using environmental radionuclides. Kluwer Academic (2003). https://doi.org/10.1007/0-306-48054-9
[18] P. Porto, E. Fulajtar, L. Kheng-Heng. Environmental radionuclides in soil contamination studies. J. Environ. Sci. Health. Part A (2024).
[19] E.G. Muñoz-Arcos, G.E. Millward, C.C. Clason, C.M. Bravo-Linares, W.H. Blake. Soil erosion dynamics in
urbanized watersheds. Sci. Total Environ. 959, 178177 (2025).
[20] T. Abere, O. Evrard, T.E. Chalaux-Clergue, H. Adgo, E. Lemma, A. Verleyen, A. Frankl. Sediment source fingerprinting using environmental tracers. J. Soils Sediments (2025).
[21] M.F. Habtamu, W.A. Dessalew, M. Louise, H. Amare, A.T. Seifu, B. Jennie, S.S. Tammo. Soil erosion assessment in Ethiopian highlands. Catena 234, 107539 (2024).
[22] G. Eleftheriou, C. Tsabaris, E.G. Androulakaki, F.K. Pappa, E.G. Patiris. Application of radiation and isotopes in environmental studies. Appl. Radiat. Isot. 206, 111234 (2024).
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