Description of spatial patterns of radionuclide deposition by lognormal distribution and hot spots

J Environ Radioact. 2013 Dec:126:264-72. doi: 10.1016/j.jenvrad.2013.09.004. Epub 2013 Oct 19.

Abstract

Spatial distributions of activity density (kBq/m(2)) and activity concentration (Bq/kg) are studied on sites with non-cultivated soils. Fitting datasets with lognormal, Weibull and normal distributions with sampling size n ≥ 60 showed that radionuclide deposition ((90)Sr, (137)Cs, (238)Pu, (239+240)Pu, (241)Am) due to Chernobyl fallout no more than in 10% of cases are described by Weibull distribution, and in the rest of the cases--by lognormal distribution. However asymptotics of "righthand tail" of empirical (sample) distribution quite often differs from the right-hand tail asymptotics of lognormal distribution. Thereby lognormal distribution is only an approximate statistical model of radionuclides' spatial pattern. Estimates of site surface area with "hot spots" are considered. Also distributions of (137)Cs and (134)Cs activity concentration on the territory contaminated by Fukushima fallout are reviewed. Characteristics of activity concentration for Fukushima and Chernobyl fallouts are collated. The results obtained make it possible to suggest that in both cases spatial contaminations of soil are described by approximately the same statistical models.

Keywords: (90)Sr, (134)Cs, (137)Cs, (238)Pu, (239+240)Pu, (241)Am; Chernobyl fallout; Fukushima fallout; Hot spots; Lognormal distribution.

MeSH terms

  • Americium / analysis
  • Cesium Radioisotopes / analysis
  • Plutonium / analysis
  • Radioisotopes / analysis*
  • Soil Pollutants, Radioactive / analysis*
  • Strontium Radioisotopes / analysis

Substances

  • Cesium Radioisotopes
  • Radioisotopes
  • Soil Pollutants, Radioactive
  • Strontium Radioisotopes
  • Plutonium
  • Americium