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Accounting for geophysical information in geostatistical characterization of unexploded ordnance (UXO) sites

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Abstract

Efficient and reliable unexploded ordnance (UXO) site characterization is needed for decisions regarding future land use. There are several types of data available at UXO sites and geophysical signal maps are one of the most valuable sources of information. Incorporation of such information into site characterization requires a flexible and reliable methodology. Geostatistics allows one to account for exhaustive secondary information (i.e.,, known at every location within the field) in many different ways. Kriging and logistic regression were combined to map the probability of occurrence of at least one geophysical anomaly of interest, such as UXO, from a limited number of indicator data. Logistic regression is used to derive the trend from a geophysical signal map, and kriged residuals are added to the trend to estimate the probabilities of the presence of UXO at unsampled locations (simple kriging with varying local means or SKlm). Each location is identified for further remedial action if the estimated probability is greater than a given threshold. The technique is illustrated using a hypothetical UXO site generated by a UXO simulator, and a corresponding geophysical signal map. Indicator data are collected along two transects located within the site. Classification performances are then assessed by computing proportions of correct classification, false positive, false negative, and Kappa statistics. Two common approaches, one of which does not take any secondary information into account (ordinary indicator kriging) and a variant of common cokriging (collocated cokriging), were used for comparison purposes. Results indicate that accounting for exhaustive secondary information improves the overall characterization of UXO sites if an appropriate methodology, SKlm in this case, is used.

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References

  • S. Ahmed G. De Marsily (1987) ArticleTitleComparison of geostatistical methods for estimating transmissivity using data on transmissivity and specific capacity Water Resources Research 23 IssueID9 1717–1737 Occurrence Handle10.1029/WR023i009p01717

    Article  Google Scholar 

  • P.D. Allison (1999) Logistic Regression Using the SAS System: Theory and Application SAS Institute Cary, NC

    Google Scholar 

  • A. Bárdossy W. Lehmann (1998) ArticleTitleSpatial distribution of soil moisture in a small catchment. Part 1: geostatistical analysis Journal of Hydrology 206 1–15 Occurrence Handle10.1016/S0022-1694(97)00152-2

    Article  Google Scholar 

  • T.H. Bell B.J. Barrow (2001) ArticleTitleSubsurface discrimination using electromagnetic induction sensors IEEE Transactions of Geoscience and Remote Sensing 39 IssueID6 1286–1293 Occurrence Handle10.1109/36.927451

    Article  Google Scholar 

  • R.L. Bilisoly S.A. McKenna (2003) Determining optimal location and numbers of sample transects for characterization of UXO sites SAND2002-3962, Sandia National Laboratories Albuquerque, New Mexico

    Google Scholar 

  • J. Cohen (1960) ArticleTitleA coefficient of agreement for nominal scales Educational and Psychological Measurement 20 37–46 Occurrence Handle10.1177/001316446002000104

    Article  Google Scholar 

  • Cook, R.J. (1998) Kappa. In The Encyclopedia of Biostatistics, P. Armitage, and T. Colton (eds), pp. 2160–2166. John Wiley & Sons, Inc

  • M.R. Darrach A. Chutjian G.A. Plett (1998) ArticleTitleTrace explosive signatures from World War II unexploded undersea ordnance Environmental Science and Technology 32 1354–1358 Occurrence Handle10.1021/es970992h Occurrence Handle1:CAS:528:DyaK1cXitVyqtrY%3D

    Article  CAS  Google Scholar 

  • W.E. Doll T.J. Gamey L.P. Beard D.T. Bell J.S. Holladay (2003) ArticleTitleRecent advances in airborne survey technology yield performance approaching ground-based surveys The Leading Edge 22 420–425 Occurrence Handle10.1190/1.1579574

    Article  Google Scholar 

  • P. Goovaerts (1997) Geostatistics for Natural Resources Evaluation Oxford University Press New York

    Google Scholar 

  • P. Goovaerts (2000) ArticleTitleGeostatistical approaches for incorporating elevation into the spatial interpolation of rainfall Journal of Hydrology 228 113–129 Occurrence Handle10.1016/S0022-1694(00)00144-X

    Article  Google Scholar 

  • P. Goovaerts (2002) ArticleTitleGeostatistical incorporation of spatial coordinates into supervised classification of hyperspectral data Journal of Geographical Systems 2 99–111 Occurrence Handle10.1007/s101090100077

    Article  Google Scholar 

  • P. Goovaerts R. Webster J.P. Dubois (1997) ArticleTitleAssessing the risk of soil contamination in the Swiss Jura using indicator geostatistics Environmental and Ecological Statistics 4 31–48 Occurrence Handle10.1023/A:1018505924603

    Article  Google Scholar 

  • A.G. Journel (1983) ArticleTitleNon-parametric estimation of spatial distributions Mathematical Geology 15 445–468 Occurrence Handle10.1007/BF01031292

    Article  Google Scholar 

  • A.G. Journel (1999) ArticleTitleMarkov model for cross-covariances Mathematical Geology 31 IssueID8 955–964 Occurrence Handle10.1023/A:1007553013388

    Article  Google Scholar 

  • K.W. Juang D.Y. Lee (1998) ArticleTitleSimple indicator kriging for estimating the probability of incorrectly delineating hazardous areas in a contaminated site Environmental Science and Technology 32 2487–2493 Occurrence Handle10.1021/es9706007 Occurrence Handle1:CAS:528:DyaK1cXkvVKjs7Y%3D

    Article  CAS  Google Scholar 

  • M.E. Martin S.D. Newman J.D. Aber R.G. Congalton (1998) ArticleTitleDetermining forest species composition using high spectral resolution remote sensing data Remote Sensing of Environment 65 249–254 Occurrence Handle10.1016/S0034-4257(98)00035-2

    Article  Google Scholar 

  • McDonald, J.R. and Robertson, R. (2000) MTADS live site demonstration. Pueblo of Laguna, NM. NRL/PU/6110-00-398, p. 56

  • McKenna, S.A. (2001) Application of a doubly stochastic Poisson model to the spatial prediction of unexploded ordnance. In Proceedings of the 2001 Annual Meeting of the International Association of Mathematical Geology. Cancun, Mexico, Sept. 6–12, p. 21

  • McKenna, S.A., Saito, H. and Goovaerts, P. (2001) Bayesian approach to UXO site characterization with incorporation of geophysical information. SERDP Project UX-1200 Deliverable, December 30th. p. 51

  • H.H. Nelson J.R. McDonald (2001) ArticleTitleMultisensor towed array detection system for UXO detection IEEE Transactions on Geoscience and Remote Sensing 39 IssueID6 1139–1145 Occurrence Handle10.1109/36.927427

    Article  Google Scholar 

  • R.T. Ryti (1993) ArticleTitleSuperfund soil cleanup: developing the Piazza Road remediation design Journal of Air and Waste Management Association 43 197–202 Occurrence Handle1:CAS:528:DyaK3sXhvFOgt7k%3D

    CAS  Google Scholar 

  • H. Saito P. Goovaerts (2000) ArticleTitleGeostatistical interpolation of positively skewed and censored data in a dioxin contaminated site Environmental Science and Technology 34 4228–4235 Occurrence Handle10.1021/es991450y Occurrence Handle1:CAS:528:DC%2BD3cXlvFeitL0%3D

    Article  CAS  Google Scholar 

  • Singh, A. and Singh, A.K. (2001) UXO sampling and characterization using indicator kriging – An alternative approach for estimating probabilities of finding UXO items. Technology Support Center Report, U.S. EPA, National Exposure Research Laboratory, Las Vegas, Nevada, p. 17

  • A. Stein (1994) ArticleTitleThe use of prior information in spatial statistics Geoderma 62 199–216 Occurrence Handle10.1016/0016-7061(94)90036-1

    Article  Google Scholar 

  • A. Stein M. Hoogerwerf J. Bouma (1988) ArticleTitleUse of soil-map delineation to improve (co-)kriging of point data on moisture deficits Geoderma 43 163–177 Occurrence Handle10.1016/0016-7061(88)90041-9

    Article  Google Scholar 

  • Stohl, R. (2002) Landmines and UXO endanger Iraqi population, Center for Defense Information. http://www.cdi.org/terrorism/iraqlandmines-pr/dfm, Accessed June, 2003

  • USAESCH (1999) Ordnance and explosives (OE) sites unexploded ordnance (UXO) statistical estimation standard operating procedure (SOP). CEHNC 1115-3-526, U.S. Army Corps of Engineers, Engineering and Support Center, Huntsville, p. 10

  • Young, R. and Helms, L. (1999) Applied geophysics and the detection of buried munitions, U.S. Army Corps of Engineers. http://www.hnd.usace.army.mil/oew/tech/rogppr1.html, Accessed June, 2003

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SAITO, H., MCKENNA, S.A. & GOOVAERTS, P. Accounting for geophysical information in geostatistical characterization of unexploded ordnance (UXO) sites. Environ Ecol Stat 12, 7–25 (2005). https://doi.org/10.1007/s10651-005-6815-3

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