RESEARCH PAPER
Methodological recommendations for measurements with deuterium-labelled drops in the context of soil erosion caused by rain studies
More details
Hide details
1
Institute of Agrophysics, Polish Academy of Sciences, Doświadczalna 4, 20-290 Lublin, Poland
Final revision date: 2026-05-13
Acceptance date: 2026-07-01
Publication date: 2026-07-03
Int. Agrophys. 2026, 40(3): 339-347
HIGHLIGHTS
- Identified key errors: evaporation and isotopic exchange in splash experiments
- Deuterium labeling enables splash water origin tracing reliably
- Monitor T, RH; use moderate δ²H (~1500‰) to limit equilibration
- Minimize experiment duration; standardize sampling time
- First methodological guidelines fill critical research gap
KEYWORDS
TOPICS
ABSTRACT
Splash erosion represents the initial stage of rainfall-induced soil degradation. Among the many methods used to investigate this process, some employ labelled water as a tracer of splashed material however, studies utilizing deuterium-labelled water remain scarce. The application of deuterium-labelled water in splash measurements introduces methodological challenges that may significantly affect results and are often negligible in other soil science or hydrological investigations. The aim of this study was to identify the principal sources of potential error and to propose methodological recommendations for experiments using deuterium-labelled water. Laboratory splash experiments were conducted with drops of 4.2 mm enriched in deuterium (δ 2H~1500‰ vs. VSMOW), falling from various heights of 1-7 m under controlled conditions, including temperature (20°C) and relative humidity (value depending on the experimental variant). The key recommendations are: i) the temperature and relative humidity should be monitored; ii) the isotopic enrichment must be sufficiently high to enable detection of the studied process, yet low enough to limit the drive toward thermodynamic equilibrium; iii) to minimize evaporation effects, experiment duration should be kept as short as possible. However, since sampling time cannot be eliminated, it should remain constant within a given experiment to reduce systematic error in trend analysis.
FUNDING
This paper was financed from the funds of the National Science Centre, Poland No. 2022/47/D/ST10/02480.
CONFLICT OF INTEREST
The authors do not declare any conflict of interest.
ADDITIONAL INFORMATION
Jaromin-Gleń Katarzyna: Collection and/or assembly of data; Data analysis and interpretation; Writing the article; Critical revision of the article, Final approval of the article. Polakowski Cezary: Research concept and design; Collection and/or assembly of data; Data analysis and interpretation; Critical revision of the article, Final approval of the article. Mazur Rafał: Collection and/or assembly of data; Critical revision of the article, Final approval of the article. Sroka Dominik: Collection and/or assembly of data; Critical revision of the article, Final approval of the article. Berus Wojciech: Collection and/or assembly of data; Final approval of the article. Beczek Michał: Critical revision of the article, Final approval of the article. Bieganowski Andrzej: Research concept and design; Data analysis and interpretation; Critical revision of the article, Final approval of the article. All authors have read and agreed to the published version of the manuscript.
REFERENCES (41)
1.
Akpa, E.A., Obalum, S.E., Igwe, C.A., 2024. Revisiting the questioned reliability of the revised universal soil loss equation (RUSLE) for soil erosion prediction in the tropics. Soil Sci. Ann. 75, 1-13.
https://doi.org/10.37501/soils....
2.
Alewell, C., Pitois, A., Meusburger, K., Ketterer, M., Mabit, L., 2017. 239 + 240Pu from “contaminant” to soil erosion tracer: Where do we stand? Earth-Science Reviews 172, 107-123.
https://doi.org/10.1016/j.ears....
3.
Bauer, T., Gilet, T., 2024. Rim dynamics and droplet ejections upon drop impact on star-shaped poles. Phys. Rev. Fluids 9, 083602.
https://doi.org/10.1103/PhysRe....
4.
Beczek, M., Ryżak, M., Sochan, A., Mazur, R., Polakowski, C., Hess, D., et al., 2020. Methodological aspects of using high-speed cameras to quantify soil splash phenomenon. Geoderma 378, 114592.
https://doi.org/10.1016/j.geod....
5.
Benetti, M., Reverdin, G., Pierre, C., Merlivat, L., Risi, C., Steen-Larsen, H.C., et al., 2014. Deuterium excess in marine water vapor: Dependency on relative humidity and surface wind speed during evaporation. J. Geophysical Res. Atmospheres 119, 584-593.
https://doi.org/10.1002/2013JD....
6.
Beyer, M., Gaj, M., Hamutoko, J.T., Koeniger, P., Wanke, H., Himmelsbach, T., 2015. Estimation of groundwater recharge via deuterium labelling in the semi-arid Cuvelai-Etosha Basin, Namibia. Isotopes Environ. Health Studies 51, 533-552.
https://doi.org/10.1080/102560....
7.
Cappa, C.D., Drisdell, W.S., Smith, J.D., Saykally, R.J., Cohen, R.C., 2005. Isotope fractionation of water during evaporation without condensation. J. Phys. Chem. B 109, 24391-24400.
https://doi.org/10.1021/jp0539....
8.
Chen, D., Zheng, S., Zhang, J., Li, H., Nie, B., Lian, B., et al., 2025. An isotope tracer experiment for simulating tritiated water vapor transfer and accumulation at the air-water interface. J. Cleaner Production 513, 145737.
https://doi.org/10.1016/j.jcle....
9.
Davidová, T., Dostál, T., David, V., Strauss, P., 2015. Determining the protective effect of agricultural crops on the soil erosion process using a field rainfall simulator. Plant Soil Environ. 61, 109-115.
https://doi.org/10.17221/903/2....
10.
Duliński, M., Różański, K., Pierchała, A., Gorczyca, Z., Marzec, M., 2019. Isotopic composition of precipitation in Poland: a 44-year record. Acta Geophys. 67, 1637-1648.
https://doi.org/10.1007/s11600....
11.
Dziczek, J., Świtoniak, M., Sykuła, M., 2025. The impact of erosion on the spatial variability of main properties, genesis, and systematic position of soils in the Wieliczka Foothills, southern Poland – a case study from the Bemke Campus area. Soil Sci. Ann. 76, 1-16.
https://doi.org/10.37501/soils....
12.
EN ISO 3696, 1995. Water for analytical laboratory use – Specification and test methods.
13.
Epema, G.F., Riezebos, H.T., 1987. Fall velocity of waterdrops at different heights as a factor influencing erosivity of simulated rain. In: Rainfall Simulation Runoff and Soil Erosion.
14.
Ersoy, N.E., Eslamian, M., 2019. Capillary surface wave formation and mixing of miscible liquids during droplet impact onto a liquid film. Physics Fluids 31.
https://doi.org/10.1063/1.5064....
15.
Faghiri, S., Poureslami, P., Minaei, M., Akbari, S., Asadi, M., Kermani, J.R., et al., 2026. A comprehensive review on droplet impact dynamics on liquid surfaces: Experimental and numerical investigations of momentum, mass, and heat transfer. Advances in Colloid and Interface Science 349, 103751.
https://doi.org/10.1016/j.cis.....
16.
Fernández-Raga, M., Palencia, C., Keesstra, S., Jordán, A., Fraile, R., Angulo-Martínez, M., et al., 2017. Splash erosion: A review with unanswered questions. Earth-Science Reviews 171, 463-477.
https://doi.org/10.1016/j.ears....
17.
Galewsky, J., Steen-Larsen, H.C., Field, R.D., Worden, J., Risi, C., Schneider, M., 2016. Stable isotopes in atmospheric water vapor and applications to the hydrologic cycle. Reviews of Geophysics 54, 809-865.
https://doi.org/10.1002/2015RG....
18.
Gallart, F., González-Fuentes, S., Llorens, P., 2024. Technical note: Isotopic fractionation of evaporating waters: effect of sub-daily atmospheric variations and eventual depletion of heavy isotopes. Hydrology Earth System Sci. 28, 229-239.
https://doi.org/10.5194/hess-2....
19.
Graf, P., Wernli, H., Pfahl, S., Sodemann, H., 2019. A new interpretative framework for below-cloud effects on stable water isotopes in vapour and rain. Atmospheric Chemistry Physics 19, 747-765.
https://doi.org/10.5194/acp-19....
20.
Hochscheid, F., Turner, A.C., Lotem, N., Bill, M., Stolper, D.A., 2025. Experimental determination of hydrogen isotopic equilibrium in the system H2O(l)-H2(g) from 3 to 90°C. Geochimica et Cosmochimica Acta 394, 368-382.
https://doi.org/10.1016/j.gca.....
21.
Juliev, M., Kholmurodova, M., Abdikairov, B., Abuduwaili, J., 2024. A comprehensive review of soil erosion research in Central Asian countries (1993-2022) based on the Scopus database. Soil Water Res. 19, 244-256.
https://doi.org/10.17221/82/20....
22.
Loba, A., Waroszewski, J., Sykuła, M., Kabala, C., Egli, M., 2022. Meteoric 10Be, 137Cs and 239+240Pu as tracers of long- and medium-term soil erosion-a review. Minerals 12, 359.
https://doi.org/10.3390/min120....
23.
Mazur, R., Ryżak, M., Sochan, A., Beczek, M., Polakowski, C., Bieganowski, A., 2023. Soil deformation after water drop impact-a review of the measurement methods. Sensors 23, 121.
https://doi.org/10.3390/s23010....
24.
Mazur, R., Ryżak, M., Sochan, A., Beczek, M., Polakowski, C., Bieganowski, A., 2025. The potential effect of temperature on surface deformation after water drop impact in soils with different texture and moisture content. Catena 255, 109005.
https://doi.org/10.1016/j.cate....
25.
Mook, W.G., 2001. Environmental isotopes in the hydrological cycle. Principles and applications (IHP-V. Technical Documents in Hydrology No. 39). UNESCO, Paris, France.
26.
Nanko, K., Hotta, N., Suzuki, M., 2006. Evaluating the influence of canopy species and meteorological factors on throughfall drop size distribution. J. Hydrology 329, 422-431.
https://doi.org/10.1016/j.jhyd....
27.
Palige, J., Ptaszek, S., Zimnicki, R., Chmielewski, A.G., Wierzchnicki, R., 2008. Stable isotope deuterium as a natural tracer of mixing processes in rivers. Nukleonika 53, 63-67.
28.
Papierowska, E., Beczek, M., Mazur, R., Szatyłowicz, J., Szewińska, J., Polakowski, C., et al., 2023. Drop impact dynamics on the hydrophobic leaf surface of an aquatic plant: a case study of Pistia stratiotes. J. Exp. Bot. 74, 5255-5272.
https://doi.org/10.1093/jxb/er....
29.
Polakowski, C., Beczek, M., Mazur, R., Sochan, A., Ryżak, M., Bieganowski, A., 2022. The first report on the use of deuterium-labelled water in analysing the splash phenomenon. J. Hydrology 610, 127882.
https://doi.org/10.1016/j.jhyd....
30.
Quinton, J.N., Fiener, P., 2024. Soil erosion on arable land: An unresolved global environmental threat. Progress in Physical Geography: Earth Environ. 48, 136-161.
https://doi.org/10.1177/030913....
31.
Ryżak, M., Beczek, M., Mazur, R., Sochan, A., Gibała, K., Polakowski, C., et al., 2023. The splash of a single water drop on selected coniferous plants. Forest Ecology Management 541, 121065.
https://doi.org/10.1016/j.fore....
32.
Schneider, A., Hirsch, F., Raab, A., Raab, T., 2018. Dye tracer visualization of infiltration patterns in soils on relict charcoal hearths. Front. Environ. Sci. 6.
https://doi.org/10.3389/fenvs.....
34.
Smolska, E., Święchowicz, J., Rejman, J., Rodzik, J., Szpikowski, J., Stępniewski, K., 2025. Assessment of soil erosion by water on agricultural slopes in Poland based on runoff plot measurements. Geomorphology 489, 109995.
https://doi.org/10.1016/j.geom....
35.
Sochan, A., Lamorski, K., Bieganowski, A., 2022. Numerical simulation and experimental study of the drop impact for a multiphase system formed by two immiscible fluids. Sensors 22, 3126.
https://doi.org/10.3390/s22093....
36.
Wang, S., Shi, Y., Xing, M., Wu, H., Pang, H., Lei, S., et al., 2024. Quantifying the below-cloud evaporation of raindrops using near-surface water vapour isotopes: Applications in humid and arid climates in East Asia. J. Hydrology 638, 131561.
https://doi.org/10.1016/j.jhyd....
37.
Wu, C., Wu, X., Mu, W., Zhu, G., 2020. Using Isotopes (H, O, and Sr) and major ions to identify hydrogeochemical characteristics of groundwater in the Hongjiannao Lake Basin, Northwest China. Water 12, 1467.
https://doi.org/10.3390/w12051....
38.
Xie, C., Xiao, W., Zhang, M., Liu, S., Qian, Y., Zhu, H., et al., 2021. Isotopic kinetic fractionation of evaporation from small water bodies. J. Hydrology 603, 126974.
https://doi.org/10.1016/j.jhyd....
39.
Xiong, J., Wang, G., Sun, X., Hu, Z., Li, Y., Sun, J., et al., 2024. Effects of litter and root inputs on soil CH4 uptake rates and associated microbial abundances in natural temperature subalpine forests. Science Total Environ. 912, 168730.
https://doi.org/10.1016/j.scit....
40.
Yonemoto, Y., Tashiro, K., Shimizu, K., Kunugi, T., 2022. Predicting the splash of a droplet impinging on solid substrates. Sci. Rep. 12, 5093.
https://doi.org/10.1038/s41598....
41.
Zumr, D., Mützenberg, D.V., Neumann, M., Jeřábek, J., Laburda, T., Kavka, P., et al., 2020. Experimental setup for splash erosion monitoring-study of silty loam splash characteristics. Sustainability 12, 157.
https://doi.org/10.3390/su1201....