Uncertainty as the overlap of alternate conditional distributions

Computational Geosciences

Volumn 12, Issue 4, 2008, Pages 503-512

  Babak, Olena ^a   Deutsch, Clayton V ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Conditional distribution; Estimation variance; Inverse distance; Local uncertainty; Simple kriging; Uncertainty overlap

Indexed keywords

ANALYSIS OF VARIANCE (ANOVA); ESTIMATION; MATHEMATICAL MODELS; NUMERICAL METHODS; UNCERTAINTY ANALYSIS;

ESTIMATION METHOD; INVERSE ANALYSIS; KRIGING; UNCERTAINTY ANALYSIS;

EID: 56449113409     PISSN: 14200597     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10596-008-9089-7     Document Type: Article

References (45)

1. Boman, G., Molz, F.J., Guven, O.: An evaluation of interpolation methodologies for generating three-dimensional hydraulic property distributions from measured data. Ground Water 33(2), 247-258 (1995)
2. Borga, M., Vizzaccaro, A.: On the interpolation of hydrologic variables: formal equivalence of multiquadratic surface fitting and kriging. J. Hydrol. 195(1-4), 160-171 (1997)
3. Brummert, A.C., Pool, S.E., Portman, M.E., Hancock, J.S., Ammer, J.R.: Determining optimum estimation methods for interpolation and extrapolation of reservoir properties: A case study. In: Lake, L.W., Carroll, H.B., Wesson T.C. (eds.) Reservoir Characterization, pp. 445-485, Academic Press, San Diego (1991)
4. Brus, D.J., de Gruijter, J.J., Marsman, B.A., Visschers, R., Bregt, A.K., Breeuwsma, A.: The performance of spatial interpolation methods and choropleth maps to estimate properties at points: A soil survey case study. Environmetrics 7(1), 1-16 (1996)
5. Caruso, C., Quarta, F.: Interpolation methods comparison. Comput. Math. Appl. 35(12), 109-126 (1998)
6. Chiles, J.P., Delfiner, P.: Geostatistics: Modeling Spatial Uncertainty. Wiley, New York (1999)
7. Cressie, N.A.: Statistics for Spatial Data. Wiley, Ontario, Canada (1993)
8. Creutin, J.D., Obled, C.: Objective analyses and mapping techniques for rainfall fields: An objective comparison. Water Resour. Res. 18(2), 413-431 (1982)
9. Declercq, F.A.N.: Interpolation methods for scattered sample data: accuracy, spatial patterns, processing time. Cartogr. Geogr. Inf. Syst. 23(3), 128-144 (1996)
10. Deutsch, C.V.: Geostatistical Reservoir Modeling. Oxford University Press, New York (2002)
11. Deutsch, C.V., Journel, A.G.: GSLIB: Geostatistical Software Library and Users Guide. Oxford University Press, New York (1998)
12. Diodato, N., Ceccarelli, M.: Interpolation processes using multivariate geostatistics for mapping of climatological precipitation mean in the Sannio Mountains (southern Italy). Earth Surf. Processes Landf. 30(3), 259-268 (2005)
13. Dirks, K.N., Hay, J.E., Stow, C.D., Harris, D.: High-resolution studies of rainfall on Norfolk Island part II: Interpolation of rainfall data. J. Hydrol. 208 (3-4), 187-193 (1998)
14. Falivene, O., Cabrera, L., Saez, A.: Optimum and robust 3D facies interpolation strategies in a heterogeneous coal zone (Tertiary As Pontes Basin, NW Spain). Int. J. Coal Geol. 71 (2-3), 185-208 (2007)
15. Franke, R.: Scattered daTa interpolation: tests of some methods. Math. Comput. 38(157), 181-200 (1982)
16. Gallichand, J., Marcotte, D.: Mapping clay content for subsurface drainage in the Nile Delta. Geoderma 58(3), 165-179 (1993)
17. Goovaerts, P.: Geostatistical approaches for incorporating elevation into the spatial interpolation of rainfall. J. Hydrol. 228 (1-2), 113-129 (2000)
18. Goovaerts, P.: Geostatistics for Natural Resources Evaluation. Oxford University Press, New York (1997)
19. Gotway, C.A., Ferguson, R.B., Hergert, G.W., Peterson, T.A.: Comparison of kriging and inverse-distance methods for mapping soil parameters. Soil Sci. Soc. Am. J. 60 (4), 1237-1247 (1996)
20. Grimm, J.W., Lynch, J.A.: Statistical analysis of errors in estimating wet deposition using five surface estimation algorithms. Atmos. Environ. 25 (2), 317-327 (1991)
21. Hosseini, E., Gallichand, J., Marcotte, D.: Theoretical and experimental performance of spatial interpolation methods for soil salinity analysis. Trans. ASAE 37(6), 1799-1807 (1994)
22. Isaaks, E.H., Srivastava, R.M.: An Introduction to Applied Geostatistics. Oxford University Press, New York (1989)
23. Journel, A.: Geostatistics - models and tools for the earth sciences. Math. Geol. 18(1), 119-140 (1986)
24. Journel, A.G., Huijbrogts, C.J.: Mining Geostatistics. Academic, London (1978)
25. Journel, A.G., Huijbregts, Ch.J.: Mining Geostatistics. Academic, London (1981)
26. Journel, A., Kyriakidis, P.C., Mao, S.: Correcting the smoothing effect of estimators: A spectral postprocessor. Math. Geol. 32(7), 787-813 (2000)
27. Laslett, G.M.: Ariging and splines: an empirical comparison of their predictive performance in some applications. J. Am. Stat. Assoc. 89(426), 391-409 (1994)
28. Laslett, G.M., McBratney, A.B.: Further comparison of spatial methods for predicting soil pH. Soil Sci. Soc. Am. J. 54(6), 1553-1558 (1990)
29. Mardikis, M.G., Kalivas, D.P., Kollias, V.J.: Comparison of interpolation methods for the prediction of reference evapotranspiration - an application in Greece. Water Resour. Manag. 19, 251-278 (2005)
30. Martinez-Cob, A.: Multivariate geostatistical analysis of evapotranspiration and precipitation in mountain terrain. J. Hydrol. 174, 19-35 (1996)
31. Moyeed, R.A., Papritz, A.: An empirical comparison of kriging methods for nonlinear spatial point prediction. Math. Geol. 34 (4), 365-386 (2002)
32. Nalder, I.A., Wein, R.W.: Spatial interpolation of climatic normals: test of a new method in the Canadian boreal forest. Agric. For. Meteorol. 92 (4), 211-225 (1998)
33. Phillips, D.L., Lee, E.H., Herstrom, A.A., Hogsett, W.E., Tingey, D.T.: Use of auxiliary data for spatial interpolation of ozone exposure in southeastern forests. Environmetrics 8(1), 43-61 (1997)
34. Rana, G., Katerji, N.: Measurement and estimation of actual evapotranspiration in the field under Mediterranean climate: A review. Eur. J. Agron. 13(2-3), 125-153 (2000)
35. Rouhani, S.: Comparative study of ground-water mapping technique. Ground Water 24(2), 207-216 (1986)
36. Schloeder, C.A., Zimmerman, N.E., Jacobs, M.J.: Comparison of methods for interpolating soil properties using limited data. Soil Sci. Soc. Am. J. 65(2), 470-479 (2001)
37. Shepard, D.: A two-dimensional interpolation function for irregularly spaced data. In: Proceedings of the 1968 23rd ACM. ACM, New York (1968)
38. Tabios, G.Q., Salas, J.D.: A comparative analysis of techniques for spatial interpolation of precipitation. Water-Resour. Bull. 21(3), 365-380 (1985)
39. Teegavarapu, R.S.V., Chandramouli, V.: Improved weighting methods, deterministic and stochastic data-driven models for estimation of missing precipitation records. J. Hydrol. 312 (1-4), 191-206 (2005)
40. Voltz, M., Webster, R.: A comparison of kriging, cubic splines and classification for predicting soil properties from sample information. J. Soil Sci. 41(3), 473-490 (1990)
41. Wackernagel, H.: Multivariate Geostatistics. Springer, Berlin New York (2003)
42. Weber, D.D., Englund, E.J.: Evaluation and comparison of spatial interpolators. Math. Geol. 24(4), 381-391 (1992)
43. Weber, D.D., Englund, E.J.: Evaluation and comparison of spatial interpolators II. Math. Geol. 26(5), 589-603 (1994)
44. Wollenhaupt, N.C., Wolkowski, R.P., Clayton, M.K.: Mapping soil test phosphorus and potassium for variable-rate fertilizer application. J. Prod. Agric. 7(4), 441-448 (1994)
45. Zimmerman, D., Palvik, C., Ruggles, A., Armstrong, P.: An experimental comparison of ordinary and universal kriging and inverse distance weighting. Math. Geol. 31(4), 375-390 (1999)