Risk assessment of distribution coefficient from 137Cs measurements


Classically distribution coefficient is defined as the ratio of solid total element concentration to surface water total concentration. This coefficient is obtained from the ion measurements in the Keban Dam, Turkey, which supplies water for domestic, irrigation and hydroelectric energy generation purposes. The measurements of 137Cs are carried out in 40 different sites and the general risk formulation and application is achieved for the distribution coefficient. The models are of exponential type and the spatial independence of the data is considered. Various charts are prepared for a set of risk levels as 5%, 10%, 20%, 25%, and 50%.

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  1. Baykara, O., & Doğru, M. (2006). Measurements of radon and uranium concentrations in water and soil samples from East Anatolian Active Fault Systems (Turkey). Radiation Measurement, 41, 362–376.

    Article  CAS  Google Scholar 

  2. Cambray, R. S., Lewis, G. N. J., Playford, K., & Eakins, J. D. (1983). Radioactive fall-out in air and rain: results to the end of 1982. AERE R10859, HMSO.

  3. Carroll, J., & Harms, I. H. (1999). Uncertainty analysis of partition coefficients in a radionuclide transport model. Water Research, 33, 2617–2626.

    Article  CAS  Google Scholar 

  4. Farmer, J. D., & Sidradovich, J. J. (1987). Predicting chaotic time series. Physics Review Letter, 59, 845–848.

    Article  Google Scholar 

  5. Feller, W. (1967). An introduction to probability theory and its application, vol.1 p. 509. New York: Wiley.

    Google Scholar 

  6. Gupta, V. L. (1973). Information content of time-variant data. Journal of Hydraulics Division-ASCE, HY3, Proc. Paper, 9615, pp 383–393.

  7. Jayawardena, A. W., & Lai, F. (1994). Analysis and prediction of chaos in rainfall and stream flow time series. Journal of Hydrology, 153, 23–52.

    Article  Google Scholar 

  8. Külahcı, F., & Şen, Z. (2007). Spatial dispersion modeling of 90Sr by point cumulative semivariogram at Keban Dam Lake, Turkey. Applied Radiation and Isotopes, 65, 1070–1077.

    Article  CAS  Google Scholar 

  9. Lorenz, E. H. (1984). Irregularity. A fundamental property of the atmosphere. Tellus, 36A, 98–110.

    Google Scholar 

  10. Lovejoy, D., & Schertzer, D. (1986). Scale invariance, symmetries, fractals and stochastic simulations of atmospheric phenomena. Bulletin American Meteorology Society, 67, 21–32.

    Article  Google Scholar 

  11. Matalas, N. C., & Langbein, W. (1962). The relative information of the mean. Journal of Geophysics Research, 67, 3441–3448.

    Article  Google Scholar 

  12. Peterson, J., Margaret, M., Haroun, L., & Monette, F. (2007). Radiological and chemical fact sheets to support health risk analyses for contaminated areas. Cesium, Argonne National Laboratory, EVS.

  13. Preston, A., Jeffries, D. F., & Dutton, J. W. R. (1967). The concentrations of caesium-137 and strontium-90 in the flesh of brown trout taken from rivers and lakes in the British isles between 1961 and 1966: the variables determining the concentrations and their use in radiological assessments. Water Research, 1, 475–496.

    Article  CAS  Google Scholar 

  14. Saldarriaga, J., & Yevjevich, V. (1970). Application of run-lengths to hydrologic series. Hydrology Paper 40, Colorado State University, Fort Collins, Colorado.

  15. Smith, J. T., Comans, R. N. J., & Elder, D. G. (1999). Radiocaesium removal from European lakes and reservoirs: Key processes determined from 16 Chernobyl-contaminated lakes. Water Research, 33, 3762–3774.

    Article  CAS  Google Scholar 

  16. Şen, Z. (1976). Wet and dry periods of annual flow series. ASCE Journal of Hydraulic Division, 102, Proc. Paper 12457, pp 1503–1514.

  17. Şen, Z. (1991). Probabilistic modelling of crossing in small samples and application of runs to hydrology. Journal of Hydrology, 124, 345–362.

    Article  Google Scholar 

  18. Şen, Z. (1999). Simple risk calculations in dependent hydrological series. Journal of Hydrology Science, 44, 871–878.

    Article  Google Scholar 

  19. Valković, V. (2000). Radioactivity in the environment p. 25. The Netherlands: Elsevier Science B.V..

    Google Scholar 

  20. Whelan, M. J., Gandolfi, C., & Bischetti, G. B. (1999). A simple stochastic model of point source solute transport in rivers based on gauging station data with implications for sampling requirements. Water Research, 33, 3171–3181.

    Article  CAS  Google Scholar 

  21. Yen, B. C. (1970). Risks in hydrologic design of engineering projects. Journal of Hydraulic Division-ASCE, 98, Proc. Paper 7229, pp 959–966.

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Correspondence to Fatih Külahcı.

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Külahcı, F., Şen, Z. Risk assessment of distribution coefficient from 137Cs measurements. Environ Monit Assess 149, 363–370 (2009). https://doi.org/10.1007/s10661-008-0209-6

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  • Probability distribution function
  • Radionuclide
  • Risk assessment
  • Stochastic model
  • Water