A modelling methodology for the analysis of radon potential based on environmental geology and geographically weighted regression

Many countries have promoted environmental studies and established national radon programmes in order to identify those geographical areas where high indoor exposure risk of people to this radioactive gas are more likely to be found (often referred to as 'radon-prone areas'). Traditionally, the evaluation of radon potential has been pursued by means of global inference techniques. Conversely, in this paper we present a novel modelling approach, based on well established environmental software, best suited to capture the spatial variability of local relationships between indoor radon measurements and some environmental geology-related factors. The proposed strategy consists of three stages. First, a multilevel model based standardisation of indoor radon data should be carried out in order to reduce the building related variability. Then, the global and local autocorrelation indexes have to be employed to highlight the role of the local effects. The last step implies the use of the Geographically Weighted Regression(GWR) to show the differences in associations between indoor radon and the geological factors across space. The method was tested using an available geo-referenced dataset including both radon indoor measurements and geological data related to the territory of an Italian region (Abruzzo). The results are encouraging, although there are several critical issues to be addressed.

[1]  Paola Fregni,et al.  Note illustrative della Carta Geologica d'Italia alla scala 1: 50.000. Foglio 219 "Sassuolo". APAT, Regione Emilia Romagna , 2006 .

[2]  E. Tóth,et al.  Indoor radon mapping and its relation to geology in Hungary , 2009 .

[3]  Clifford K. Ho Analytical risk-based model of gaseous and liquid-phase radon transport in landfills with radium sources , 2008, Environ. Model. Softw..

[4]  Alberto Pizzi,et al.  Carta Geologica d'Italia alla scala 1:50.000. Foglio 369 Sulmona , 2005 .

[5]  E. Nissi,et al.  Residential radon concentration in the Abruzzo region (Italy): a different perspective for identifying radon prone areas , 2012, Environmental and Ecological Statistics.

[6]  A. Páez,et al.  A General Framework for Estimation and Inference of Geographically Weighted Regression Models: 1. Location-Specific Kernel Bandwidths and a Test for Locational Heterogeneity , 2002 .

[7]  Brian J. Smith,et al.  Effect of housing factors and surficial uranium on the spatial prediction of residential radon in Iowa , 2007 .

[8]  W. Cleveland Robust Locally Weighted Regression and Smoothing Scatterplots , 1979 .

[9]  J. Jiao,et al.  Assessment of soil radon potential in Hong Kong, China, using a 10-point evaluation system , 2013, Environmental Earth Sciences.

[10]  Clifford M. Hurvich,et al.  Smoothing parameter selection in nonparametric regression using an improved Akaike information criterion , 1998 .

[11]  A. Stewart Fotheringham,et al.  Trends in quantitative methods I: stressing the local , 1997 .

[12]  G. Dubois,et al.  Investigations on indoor Radon in Austria, part 2: Geological classes as categorical external drift for spatial modelling of the Radon potential. , 2008, Journal of environmental radioactivity.

[13]  M. Cushing,et al.  Mapping of the geogenic radon potential in France to improve radon risk management: methodology and first application to region Bourgogne. , 2010, Journal of environmental radioactivity.

[14]  Andrew Gelman,et al.  Data Analysis Using Regression and Multilevel/Hierarchical Models , 2006 .

[15]  Ricardo A. Olea,et al.  Geostatistics for Engineers and Earth Scientists , 1999, Technometrics.

[16]  E. Bellotti,et al.  gamma-ray spectrometry of soil samples from the Provincia dell'Aquila (Central Italy). , 2007, Applied radiation and isotopes : including data, instrumentation and methods for use in agriculture, industry and medicine.

[17]  Martin Charlton,et al.  Spatial Nonstationarity and Autoregressive Models , 1998 .

[18]  L. Barregard,et al.  A STUDY OF RESIDENTIAL RADON IN SWEDEN USING MULTI-LEVEL ANALYSIS , 2009, Health Physics.

[19]  William W. Nazaroff,et al.  Radon transport from soil to air , 1992 .

[20]  H. Wichmann,et al.  Case-control study on lung cancer and residential radon in western Germany. , 2001, American journal of epidemiology.

[21]  G. Torri,et al.  Results of the representative Italian national survey on radon indoors. , 1996, Health physics.

[22]  E. G. Letourneau,et al.  Radon in residences: influences of geological and housing characteristics. , 1997, Health physics.

[23]  D. Wheeler Diagnostic Tools and a Remedial Method for Collinearity in Geographically Weighted Regression , 2007 .

[24]  M. G. Apte,et al.  Predicting New Hampshire indoor radon concentrations from geologic information and other covariates , 1999 .

[25]  P. Bossew,et al.  The European map of the geogenic radon potential , 2013, Journal of radiological protection : official journal of the Society for Radiological Protection.

[26]  L. Anselin Local Indicators of Spatial Association—LISA , 2010 .

[27]  R. Doll,et al.  Radon in homes and risk of lung cancer: collaborative analysis of individual data from 13 European case-control studies , 2004, BMJ : British Medical Journal.

[28]  T. Coburn Spatial Data Analysis by Example , 1991 .

[29]  Daniel Krewski,et al.  Residential Radon and Risk of Lung Cancer: A Combined Analysis of 7 North American Case-Control Studies , 2005, Epidemiology.

[30]  Michael Tiefelsdorf,et al.  The Saddlepoint Approximation of Moran's I's and Local Moran's I i's Reference Distributions and Their Numerical Evaluation , 2002 .

[31]  S. Lombardi,et al.  Geostatistical analysis of soil gas data in a high seismic intermontane basin: Fucino Plain, central Italy , 2007 .

[32]  J. Kemski,et al.  Classification and mapping of radon-affected areas in Germany , 1996 .

[33]  Shuguang Liu,et al.  Automating calibration, sensitivity and uncertainty analysis of complex models using the R package Flexible Modeling Environment (FME): SWAT as an example , 2012, Environ. Model. Softw..

[34]  H. Friedmann FINAL RESULTS OF THE AUSTRIAN RADON PROJECT , 2005, Health physics.

[35]  Steven Farber,et al.  A Simulation-Based Study of Geographically Weighted Regression as a Method for Investigating Spatially Varying Relationships , 2011 .

[36]  A. Sundal,et al.  Large-scale radon hazard evaluation in the Oslofjord region of Norway utilizing indoor radon concentrations, airborne gamma ray spectrometry and geological mapping. , 2008, The Science of the total environment.

[37]  岩崎 民子 SOURCES AND EFFECTS OF IONIZING RADIATION : United Nations Scientific Committee on the Effects of Atomic Radiation UNSCEAR 2000 Report to the General Assembly, with Scientific Annexes , 2002 .

[38]  J. D. Appleton,et al.  Comparison of Northern Ireland radon maps based on indoor radon measurements and geology with maps derived by predictive modelling of airborne radiometric and ground permeability data. , 2011, The Science of the total environment.

[39]  P N Price,et al.  Bayesian prediction of mean indoor radon concentrations for Minnesota counties. , 1996, Health physics.

[40]  Tommaso Piacentini,et al.  Morphostructural elements of central–eastern Abruzzi: contributions to the study of the role of tectonics on the morphogenesis of the Apennine chain , 2003 .

[41]  H. Zeeb,et al.  WHO Handbook on Indoor Radon: A Public Health Perspective , 2009 .

[42]  J. D. Appleton,et al.  Pilot study of the application of Tellus airborne radiometric and soil geochemical data for radon mapping. , 2008, Journal of Environmental Radioactivity.

[43]  R. Schumann,et al.  Mapping the radon potential of the united states: Examples from the Appalachians , 1996 .

[44]  A. Hope A Simplified Monte Carlo Significance Test Procedure , 1968 .

[45]  Nicolaos Theodossiou,et al.  Evaluation and optimisation of groundwater observation networks using the Kriging methodology , 2006, Environ. Model. Softw..

[46]  David Wheeler,et al.  Multicollinearity and correlation among local regression coefficients in geographically weighted regression , 2005, J. Geogr. Syst..

[47]  Andrew O. Finley,et al.  Comparing spatially‐varying coefficients models for analysis of ecological data with non‐stationary and anisotropic residual dependence , 2011 .

[48]  J. Miles Mapping radon-prone areas by lognormal modeling of house radon data. , 1998, Health physics.

[49]  M. Dousset Radon in dwellings , 1990 .

[50]  Markus Metz,et al.  GRASS GIS: A multi-purpose open source GIS , 2012, Environ. Model. Softw..

[51]  D. R. Cox,et al.  Factors affecting indoor radon concentrations in the United Kingdom. , 1993, Health physics.

[52]  G. Dubois,et al.  First steps towards a European atlas of natural radiation: status of the European indoor radon map. , 2010, Journal of environmental radioactivity.

[53]  Catherine Organo,et al.  A comparative study of lognormal, gamma and beta modelling in radon mapping with recommendations regarding bias, sample sizes and the treatment of outliers. , 2008, Journal of radiological protection : official journal of the Society for Radiological Protection.

[54]  S. B. White,et al.  Indoor 222Rn concentrations in a probability sample of 43,000 houses across 30 states. , 1992, Health physics.

[55]  Daniel A. Griffith,et al.  Spatial-Filtering-Based Contributions to a Critique of Geographically Weighted Regression (GWR) , 2008 .

[56]  Joseph H. A. Guillaume,et al.  Characterising performance of environmental models , 2013, Environ. Model. Softw..

[57]  David C. Wheeler,et al.  An assessment of coefficient accuracy in linear regression models with spatially varying coefficients , 2007, J. Geogr. Syst..

[58]  Chris Brunsdon,et al.  Geographically Weighted Regression: The Analysis of Spatially Varying Relationships , 2002 .

[59]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[60]  J. Kemski,et al.  Mapping the geogenic radon potential in Germany. , 2001, The Science of the total environment.

[61]  G. Pitari,et al.  Observations of surface radon in Central Italy , 2009 .

[62]  J. D. Appleton,et al.  A statistical evaluation of the geogenic controls on indoor radon concentrations and radon risk. , 2010, Journal of environmental radioactivity.