{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,25]],"date-time":"2026-03-25T23:04:41Z","timestamp":1774479881790,"version":"3.50.1"},"reference-count":46,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2024,1,25]],"date-time":"2024-01-25T00:00:00Z","timestamp":1706140800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"German Research Foundation (DFG)","award":["290391021\u2014SFB 1266"],"award-info":[{"award-number":["290391021\u2014SFB 1266"]}]},{"name":"German Research Foundation (DFG)","award":["EXC 2150\u2014390870439"],"award-info":[{"award-number":["EXC 2150\u2014390870439"]}]},{"name":"German Research Foundation (DFG)","award":["491982391"],"award-info":[{"award-number":["491982391"]}]},{"name":"Collaborative Research Centre 1266","award":["290391021\u2014SFB 1266"],"award-info":[{"award-number":["290391021\u2014SFB 1266"]}]},{"name":"Collaborative Research Centre 1266","award":["EXC 2150\u2014390870439"],"award-info":[{"award-number":["EXC 2150\u2014390870439"]}]},{"name":"Collaborative Research Centre 1266","award":["491982391"],"award-info":[{"award-number":["491982391"]}]},{"name":"ROOTS Cluster of Excellenc","award":["290391021\u2014SFB 1266"],"award-info":[{"award-number":["290391021\u2014SFB 1266"]}]},{"name":"ROOTS Cluster of Excellenc","award":["EXC 2150\u2014390870439"],"award-info":[{"award-number":["EXC 2150\u2014390870439"]}]},{"name":"ROOTS Cluster of Excellenc","award":["491982391"],"award-info":[{"award-number":["491982391"]}]},{"DOI":"10.13039\/501100001659","name":"Arch\u00e4ologische, geoarch\u00e4ologische und geophysikalische Untersuchungen zu Eingriffen der R\u00f6mer ins Flie\u00dfgew\u00e4ssernetz zwischen Odenwald und Rhein im Bereich des heutigen Landgrabens (Hessisches Ried)-LANDGRABEN","doi-asserted-by":"publisher","award":["290391021\u2014SFB 1266"],"award-info":[{"award-number":["290391021\u2014SFB 1266"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Arch\u00e4ologische, geoarch\u00e4ologische und geophysikalische Untersuchungen zu Eingriffen der R\u00f6mer ins Flie\u00dfgew\u00e4ssernetz zwischen Odenwald und Rhein im Bereich des heutigen Landgrabens (Hessisches Ried)-LANDGRABEN","doi-asserted-by":"publisher","award":["EXC 2150\u2014390870439"],"award-info":[{"award-number":["EXC 2150\u2014390870439"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Arch\u00e4ologische, geoarch\u00e4ologische und geophysikalische Untersuchungen zu Eingriffen der R\u00f6mer ins Flie\u00dfgew\u00e4ssernetz zwischen Odenwald und Rhein im Bereich des heutigen Landgrabens (Hessisches Ried)-LANDGRABEN","doi-asserted-by":"publisher","award":["491982391"],"award-info":[{"award-number":["491982391"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>Frequency-domain electromagnetic induction (FDEMI) methods are frequently used in non-invasive, area-wise mapping of the subsurface electromagnetic soil properties. A crucial part of data analysis is the geophysical inversion of the data, resulting in either conductivity and\/or magnetic susceptibility subsurface distributions. We present a novel 1D stochastic optimization approach that combines dimension-adapting reversible jump Markov chain Monte Carlo (MCMC) with artificial bee colony (ABC) optimization for geophysical inversion, with specific application to frequency-domain electromagnetic induction (FDEMI) data. Several solution models of simplified model geometry and a variable number of model knots, which are found by the inversion method, are used to create re-sampled resulting average models. We present synthetic test inversions using conductivity models based on 14 direct-push (DP) EC logs from Greece, Italy, and Germany, as well as field data applications using multi-coil FDEMI devices from three sites in Azerbaijan and Germany. These examples show that the method can effectively lead to solutions that resemble the known DP input models or image reasonable stratigraphic and archaeological features in the field data. Neighboring 1D solutions on field data examples show high coherence along profiles even though each 1D inversion is independently handled. The computational effort for one 1D inversion is less than 120,000 forward calculations, which is much less than usually needed in MCMC inversions, whereas the resulting models show more plausible solutions due to the dimension-adapting properties of the inversion method.<\/jats:p>","DOI":"10.3390\/rs16030470","type":"journal-article","created":{"date-parts":[[2024,1,25]],"date-time":"2024-01-25T08:44:07Z","timestamp":1706172247000},"page":"470","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":19,"title":["Artificial Bee Colony Algorithm with Adaptive Parameter Space Dimension: A Promising Tool for Geophysical Electromagnetic Induction Inversion"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5128-351X","authenticated-orcid":false,"given":"Dennis","family":"Wilken","sequence":"first","affiliation":[{"name":"Institute of Geosciences, Christian-Albrechts-University, 24118 Kiel, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7685-6193","authenticated-orcid":false,"given":"Moritz","family":"Mercker","sequence":"additional","affiliation":[{"name":"Bionum GmbH, Consultants in Biostatistics, 21129 Hamburg, Germany"},{"name":"Institute of Applied Mathematics, Heidelberg University, 69120 Heidelberg, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8410-5824","authenticated-orcid":false,"given":"Peter","family":"Fischer","sequence":"additional","affiliation":[{"name":"Institute for Geography, Johannes Gutenberg-Universit\u00e4t, 55128 Mainz, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7001-6225","authenticated-orcid":false,"given":"Andreas","family":"V\u00f6tt","sequence":"additional","affiliation":[{"name":"Institute for Geography, Johannes Gutenberg-Universit\u00e4t, 55128 Mainz, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3396-807X","authenticated-orcid":false,"given":"Ercan","family":"Erkul","sequence":"additional","affiliation":[{"name":"Institute of Geosciences, Christian-Albrechts-University, 24118 Kiel, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4266-8589","authenticated-orcid":false,"given":"Erica","family":"Corradini","sequence":"additional","affiliation":[{"name":"Institute of Geosciences, Christian-Albrechts-University, 24118 Kiel, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3290-7032","authenticated-orcid":false,"given":"Natalie","family":"Pickartz","sequence":"additional","affiliation":[{"name":"State Office for Cultural Heritage Baden-W\u00fcrttemberg, 73728 Esslingen am Neckar, Germany"}]}],"member":"1968","published-online":{"date-parts":[[2024,1,25]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Nabighian, M. (1991). Electromagnetic Methods in Applied Geophysic, Volume 2, Application, Society of Exploration Geophysicist.","DOI":"10.1190\/1.9781560802686"},{"key":"ref_2","first-page":"159","article-title":"Simultaneous Measurement of Electrical conductivity and Dielectric Permittivity of Soils using a Slingram Electromagnetic Device in Medium Frequency Range","volume":"36","author":"Tabbagh","year":"1994","journal-title":"Archaeometry"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"104561","DOI":"10.1016\/j.cageo.2020.104561","article-title":"EMagPy: Open-source standalone software for processing, forward modeling and inversion of electromagnetic induction data","volume":"146","author":"McLachlan","year":"2021","journal-title":"Comput. Geosci."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1016\/j.jas.2014.06.020","article-title":"Unveiling the prehistoric landscape at Stonehenge through multi-receiver EMI","volume":"50","author":"Saey","year":"2014","journal-title":"J. Archaeol. Sci."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Tarantola, A. (2005). Inverse Problem Theory and Methods for Model Parameter Estimation, Society for Industrial and Applied Mathematics.","DOI":"10.1137\/1.9780898717921"},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Wathelet, M. (2008). An improved neighborhood algorithm: Parameter conditions and dynamic scaling. Geophys. Res. Lett., 35.","DOI":"10.1029\/2008GL033256"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"580","DOI":"10.1111\/j.1365-246X.2012.05500.x","article-title":"On the application of Particle Swarm Optimization strategies on Scholte-wave inversion","volume":"190","author":"Wilken","year":"2012","journal-title":"Geophys. J. Int."},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Pace, F., Godio, A., and Santilano, A. (2018, January 9\u201312). Multi-Objective Particle Swarm Optimization of Vertical Electrical Sounding and Time-Domain Electromagnetic Data. Proceedings of the 24th European Meeting of Environmental and Engineering Geophysics, Porto, Portugal.","DOI":"10.3997\/2214-4609.201802624"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/S0031-9201(00)00183-7","article-title":"Inversion of Rayleigh wave phase and group velocities by simulated annealing","volume":"122","author":"Martinez","year":"2000","journal-title":"Phys. Earth Planet. Inter."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"252","DOI":"10.1111\/j.1365-246X.2011.05165.x","article-title":"A trans-dimensional Bayesian Markov chain Monte Carlo algorithm for model assessment using frequency-domain electromagnetic data","volume":"187","author":"Minsley","year":"2011","journal-title":"Geophys. J. Int."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1556","DOI":"10.1190\/1.1444452","article-title":"Simultaneous inversion of airborne electromagnetic data for resistivity and magnetic permeability","volume":"63","author":"Beard","year":"1998","journal-title":"Geophysics"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1857","DOI":"10.1190\/1.1635038","article-title":"Simultaneous 1D inversion of loop\u2013loop electromagnetic data for magnetic susceptibility and electrical conductivity","volume":"68","author":"Farquharson","year":"2003","journal-title":"Geophysics"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1211","DOI":"10.1190\/1.1598113","article-title":"Inversion of helicopter electromagnetic data to a magnetic conductive layered earth","volume":"68","author":"Huang","year":"2003","journal-title":"Geophysics"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"G53","DOI":"10.1190\/1.2187752","article-title":"Robust 1D inversion and analysis of helicopter electromagnetic (HEM) data","volume":"71","author":"Christensen","year":"2006","journal-title":"Geophysics"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"423","DOI":"10.3997\/1873-0604.2016029","article-title":"1D sequential inversion of portable multi-configuration electromagnetic induction data","volume":"14","author":"Guillemoteau","year":"2016","journal-title":"Near Surf. Geophys."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1319","DOI":"10.2136\/vzj2011.0035","article-title":"Quantitative Two-Layer Conductivity Inversion of Multi-Configuration Electromagnetic Induction Measurements","volume":"10","author":"Mester","year":"2011","journal-title":"Vadose Zone J."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"459","DOI":"10.2136\/sssaj2014.09.0360","article-title":"The Use of Electromagnetic Induction to Monitor Changes in Soil Moisture Profiles beneath Different Wheat Genotypes","volume":"79","author":"Shanahan","year":"2015","journal-title":"Soil Sci. Soc. Am. J."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"238","DOI":"10.1016\/j.advwatres.2017.10.019","article-title":"Spatiotemporal monitoring of soil water content profiles in an irrigated field using probabilistic inversion of time-lapse EMI data","volume":"110","author":"Moghadas","year":"2017","journal-title":"Adv. Water Resour."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"226","DOI":"10.1016\/j.jappgeo.2019.07.004","article-title":"Spatiotemporal monitoring of soil moisture from EMI data using DCT-based Bayesian inference and neural network","volume":"169","author":"Moghadas","year":"2019","journal-title":"J. Appl. Geophys."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"3287","DOI":"10.1109\/TGRS.2019.2953004","article-title":"Probabilistic 1-D Inversion of Frequency-Domain Electromagnetic Data Using a Kalman Ensemble Generator","volume":"58","author":"Bobe","year":"2020","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Von Hebel, C., van der Kruk, J., Huisman, J.A., Mester, A., Altdorff, D., Endres, A.L., Zimmermann, E., Garr\u00e9, S., and Vereecken, H. (2019). Calibration, Conversion, and Quantitative Multi-Layer Inversion of Multi-Coil Rigid-Boom Electromagnetic Induction Data. Sensors, 19.","DOI":"10.3390\/s19214753"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1016\/j.jappgeo.2006.04.002","article-title":"Rayleigh wave dispersion curve inversion via genetic algorithms and Marginal Posterior Probability Density estimation","volume":"61","author":"Pipan","year":"2007","journal-title":"J. Appl. Geophys."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1016\/j.jappgeo.2006.04.001","article-title":"Joint inversion of surface wave dispersion curves and reflection travel times via multi-objective evolutionary algorithms","volume":"61","author":"Pipan","year":"2007","journal-title":"J. Appl. Geophys."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"411","DOI":"10.2528\/PIERB12122604","article-title":"An EMI Inversing Problem for Landmine Characterization Based on Improved Particle Swarm Optimization and Finite Element Analysis","volume":"49","author":"Matriche","year":"2013","journal-title":"Prog. Electromagn. Res. B"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1645","DOI":"10.1093\/gji\/ggx500","article-title":"Bayesian inversion of refraction seismic traveltime data","volume":"212","author":"Ryberg","year":"2017","journal-title":"Geophys. J. Int."},{"key":"ref_26","unstructured":"McNeill, J.D. (1980). Electromagnetic Terrain Conductivity Measurement at Low Induction Numbers, Geonics Limited. Available online: https:\/\/geonics.com\/pdfs\/technicalnotes\/tn6.pdf."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1109\/MGRS.2018.2881767","article-title":"Frequency-Domain Electromagnetic Forward and Sensitivity Modeling: Practical Aspects of Modeling a Magnetic Dipole in a Multilayered Half-Space","volume":"7","author":"Hanssens","year":"2019","journal-title":"IEEE Geosci. Remote Sens. Mag."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1190\/1.1442303","article-title":"Occam\u2019s inversion: A practical algorithm for generating smooth models from electromagnetic sounding data","volume":"52","author":"Constable","year":"1987","journal-title":"Geophysics"},{"key":"ref_29","unstructured":"Rechenberg, I. (1994). Evolutionsstrategie\u201994, Frommann-Holzboog."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1046\/j.1365-246X.1999.00876.x","article-title":"Geophysical inversion with a neighbourhood algorithm\u2014I. Searching a parameter space","volume":"138","author":"Sambridge","year":"1999","journal-title":"Geophys. J. Int."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"459","DOI":"10.1007\/s10898-007-9149-x","article-title":"A powerful and efficient algorithm for numerical function optimization: Artificial bee colony (ABC) algorithm","volume":"39","author":"Basturk","year":"2007","journal-title":"J. Glob. Optim."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"1309","DOI":"10.1111\/sed.12599","article-title":"River channel evolution and tsunami impacts recorded in local sedimentary archives\u2014The \u2018Fiume Morto\u2019 at Ostia Antica (Tiber River, Italy)","volume":"67","author":"Hadler","year":"2020","journal-title":"Sedimentology"},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Hagge-Kubat, T., Fischer, P., S\u00fc\u00dfer, P., Rotter, P., Wehinger, A., V\u00f6tt, A., and Enzmann, F. (2022). Multi-Methodological Investigation of the Biersdorf Hillslope Debris Flow (Rheinland-Pfalz, Germany) Associated to the Torrential Rainfall Event of 14 July 2021. Geosciences, 12.","DOI":"10.3390\/geosciences12060245"},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"Corradini, E., Dreibrodt, S., Erkul, E., Gro\u00df, D., L\u00fcbke, H., Panning, D., Pickartz, N., Thorwart, M., V\u00f6tt, A., and Willersh\u00e4user, T. (2020). Understanding Wetlands Stratigraphy: Geophysics and Soil Parameters for Investigating Ancient Basin Development at Lake Duvensee. Geosciences, 10.","DOI":"10.3390\/geosciences10080314"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"1274","DOI":"10.1111\/sed.12555","article-title":"Tracing tsunami signatures of the ad 551 and ad 1303 tsunamis at the Gulf of Kyparissia (Peloponnese, Greece) using direct push insitu sensing techniques combined with geophysical studies","volume":"67","author":"Obrocki","year":"2020","journal-title":"Sedimentology"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"104913","DOI":"10.1016\/j.catena.2020.104913","article-title":"Millennial-scale terrestrial ecosystem responses to Upper Pleistocene climatic changes: 4D-reconstruction of the Schwalbenberg Loess-Palaeosol-Sequence (Middle Rhine Valley, Germany)","volume":"196","author":"Fischer","year":"2021","journal-title":"Catena"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"108461","DOI":"10.1016\/j.geomorph.2022.108461","article-title":"The Trendermarsch polder (North Frisia, Germany)\u2014Geophysical and geoarchaeological investigations of an anthropogenic medieval coastal landscape and its vulnerability against natural hazards","volume":"418","author":"Hadler","year":"2022","journal-title":"Geomorphology"},{"key":"ref_38","unstructured":"(2023, July 28). GF Instruments Technical Specifications. Available online: http:\/\/www.gfinstruments.cz\/index.php?menu=gi&smenu=iem&cont=cmd_&ear=ov."},{"key":"ref_39","first-page":"135","article-title":"GaRKAP 2018: The first season of the Azero-Italian Ganja Region Kurgan Archaeological Project in Western Azerbaijan","volume":"56","author":"Laneri","year":"2019","journal-title":"Anc. Near East. Stud."},{"key":"ref_40","unstructured":"Keller, G., and Frischknecht, F. (1966). Electrical Methods in Geophysical Prospecting, Pergamon Press."},{"key":"ref_41","unstructured":"Engelbrecht, A. (2005). Fundamentals of Computational Swarm Intelligence, Wiley."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"104519","DOI":"10.1016\/j.jappgeo.2021.104519","article-title":"Laterally constrained inversion (LCI) of multi-configuration EMI data with tunable sharpness","volume":"196","author":"Klose","year":"2022","journal-title":"J. Appl. Geophys."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"G301","DOI":"10.1190\/1.2356112","article-title":"A holistic approach to inversion of frequency-domain airborne EM data","volume":"71","author":"Brodie","year":"2006","journal-title":"Geophysics"},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"1773","DOI":"10.1093\/gji\/ggz382","article-title":"3-D imaging of subsurface magnetic permeability\/susceptibility with portable frequency domain electromagnetic sensors for near surface exploration","volume":"219","author":"Guillemoteau","year":"2019","journal-title":"Geophys. J. Int."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"1487","DOI":"10.1137\/0914086","article-title":"The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems","volume":"14","author":"Hansen","year":"1993","journal-title":"SIAM J. Sci. Comput."},{"key":"ref_46","doi-asserted-by":"crossref","unstructured":"Priyadarshi, S., Maiti, S., and Das, A. (2017, January 12\u201315). A PSO-SVD Based Hybrid Approach for Inversion of Vertical Electrical Sounding Data\u2014A Case Study from Western Maharashtra. Proceedings of the 79th EAGE Conference and Exhibition 2017, Paris, France.","DOI":"10.3997\/2214-4609.201701476"}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/16\/3\/470\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T13:49:22Z","timestamp":1760104162000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/16\/3\/470"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,1,25]]},"references-count":46,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2024,2]]}},"alternative-id":["rs16030470"],"URL":"https:\/\/doi.org\/10.3390\/rs16030470","relation":{},"ISSN":["2072-4292"],"issn-type":[{"value":"2072-4292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,1,25]]}}}