Transport modeling of 137Cs in soil after Fukushima Dai-Ichi Nuclear Power Plant accident by point cumulative semi-variogram method

  • Sevim Bilici
  • Ahmet Bilici
  • Fatih KülahcıEmail author
Original Article


The positions distribution of the regional variables in space have irregular or sometimes random scatter. In such a case, their study can be rather difficult and sometimes impossible by means of differential equations. Although variogram or semi-variogram (SV) methodology in the literature is employed to model the regional variable, in this paper, the use of the point cumulative SV (PCSV) procedure application is suggested for the 137Cs data, which is one of the most important radioactive nuclei not only for radioactive contamination of the environment after the Fukushima Dai-Ichi Nuclear Power Plant, but any nuclear accident whatsoever. As a result of the PCSV models, the categorical description of the 137Cs concentrations spatial distribution and transport characteristics are determined and interpreted. Prior to the application of the model, log-transformation is performed to fit the 137Cs data to the classical normal probability distribution and the normality of data is tested by Kolmogorov–Smirnov test. According to the PCSV models, five different categories describe whole spatial distribution and transport properties of 137Cs concentrations and also iso-radioactivity map is obtained for 137Cs.


Fukushima Radioactive fallout Spatial analysis Point cumulative semi-variogram 137Cs transport Modeling 



This research has been conducted by Firat University Scientific Research Projects Management Unit (Grant number: 1812). We are also grateful to Olaf Kolditz (Editor-in-Chief) for his excellent management of the editorial process, and to three anonymous reviewers for their efforts in developing the research.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Nuclear Physics Division, Physics DepartmentFirat UniversityElazigTurkey
  2. 2.Department of Opticianry, Vocational School of Health ServiceBartin UniversityBartinTurkey

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