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References

1
Bates, B. C., Improved Methodology for Parameter Inference in Nonlinear Hydrologic Regression Models, Water Resour. Res., 28(1), 89-97, 1992.

2
Brannan, J. R., and J. S. Haselow, Compound Random Field Models of Multiple Scale Hydraulic Conductivity, Water Resour. Res., 29(2), 365-372, 1993.

3
Butcher, J. B., M. A. Medina, and C. M. Marin, Empirical Bayes Regionalization Methods for Spatial Stochastic Processes, Water Resour. Res., 27(1), 7-15, 1991.

4
Campell, C., Bootstrapped methods for intrinsic random functions, Mathematical Geology, 20(6), 699-715, 1988.

5
Christensen, R., The equivalence of predictions from universal kriging and intrinsic random function kriging, Mathematical Geology, 22, 655-664, 1990a.

6
Christensen, R., L. M. Pearson, and W. Johnson, Case deletion diagnostics for mixed models, Technometrics, 34, 38-45, 1990b.

7
Christensen, R., L. M. Pearson, and W. Johnson, Prediction diagnostics for spatial linear models, Biometrica, 79, 583-591, 1992.

8
Christensen, R., W. Johnson, L. M. Pearson, Covariance function diagnostics for spatial linear models, Mathematical Geology, 25(2), 145-160, 1993.

9
Copty, N., Y. Rubin, and G. Mavko, Geophysical-Hydrological Identification of Field Permeabilities Through Bayesian Updating, Water Resour. Res., 29(8), 2813-2825, 1993.

10
Cressie, N., Statistics for spatial data, Wiley, New York, 1991.

11
Dagan, G., Stochastic modeling of groundwater flow by unconditional and conditional probabilities, 2, The solute transport, Water Resour. Res., 18(4), 835-848, 1982.

12
Dagan, G., Solute transport in heterogeneous porous formations, J. of Fluid Mechanics, 145, 151-177, 1984.

13
Dagan, G., Stochastic modeling of groundwater flow by unconditional and conditional probabilities, The inverse problem, Water Resour. Res., 21(1), 65-72, 1985a.

14
Dagan, G., A note on the high-order corrections of the head covariances in steady aquifer flow, Water Resour. Res., 21(4), 573-578, 1985b.

15
Dagan,G., Theory of solute transport by groundwater, Annual Review of Fluid Mechanics, 19, 183-215, 1987.

16
Dagan, G., Time dependent macrodispersion for solute transport in anisotropic heterogeneous aquifers, Water Resour. Res., 24(9), 1491-1500,1988.

17
Delfiner, P., Linear estimation of nonstationary spatial phenomena, in Advanced Geostatistics in the Mining Industry, ed. by M. Guarascio, M. David, and C. Huijbregts, pp. 49-68, D. Reidel, Bingham, Massachusetts, 1976.

18
Desbarats, A. J., and R. M. Srivastava, Geostatistical simulation of groundwater flow parameters in a simulated aquifer, Water Resour. Res., 27(5), 687-698, 1991.

19
Desbarats, A. J., and S. Bachu, Geostatistical analysis of aquifer heterogeneity from the core scale to the basin scale, A case study, Water Resour. Res., 30(3), 673-684, 1994.

20
Dietrich, C. R., and M. R. Osborn, Estimation of covariance parameters in kriging via restricted maximum likelihood, Mathematical Geology, 23(1), 119-135, 1991.

21
Farrel, D. A., A. D. Woodbury, E. A. Sudicky, and M. O. Rivett, Stochastic and deterministic analysis of dispersion in unsteady flow at the borden Tracer-Test site, Ontario, Canada, J. of Contaminant Hydrology, 15, 159-185, 1994.

22
Gelhar, L. W., and C. L. Axness, Three dimensional stochastic analysis of of macrodispersion in aquifers, Water Resour. Res., 19(1), 161-180, 1983.

23
Gelhar, L. W., Stochastic Subsurface Hydrology, Prentice Hall, 1993.

24
Harvey, C. F., and S. M. Gorelick, Mapping hydraulic conductivity: Sequential conditioning with measurements of solute arrival time, hydraulic head, and local conductivity, to appear in Water Resour. Res., 1994.

25
Hoeksema, R. J., and P. K. Kitanidis, An application of the geostatistical approach to the inverse problem in two-dimensional groundwater modeling, Water Resour. Res., 20, 1003, 1020,1984.

26
Hoeksema, R. J., and Clapp, R. B., Calibration of groundwater flow models using Monte Carlo simulations and geostatistics, in ModelCARE 90: Calibration and Reliability in Groundwater Modelling (pp. 33-42). IAHS Publ. No 195, 1990.

27
Journel, A. G., and C. V. Deutsch, Entropy and spatial disorder, Mathematical Geology, 25(3), 329-355, 1993.

28
Keidser, A., D. Rosbjerg, K. H. Jensen, and K. Bitsch, A Joint Kriging and Zonation Approach To Inverse Groundwater Modeling, In Proceedings ModelCARE 90:Calibration and Reliability in Groundwater Modeling, The Hague, 1990.

29
Kitanidis, P. K., Minimum variance unbiased quadratic estimation of polynomial generalized covariances of regionalized variables, Mathematical Geology, 17(2), 195-208, 1985a.

30
Kitanidis, P. K., Use of Prior Information in the Geostatistical Approach to the Inverse Problem, Proceedings of the ASCE ``Computer Applications in Water Resources'' Conference, Buffalo, New York, pp. 897-906, June 10-12, 1985b.

31
Kitanidis, P. K., Orthonormal residuals in Geostatistics : Model Criticism and Parameter Estimation, Mathematical Geology, 23(5), 741-758, 1991.

32
Kitanidis, P. K, Generalized covariance functions in estimation, Mathematical Geology, 25(5), 525-540, 1993.

33
Kitanidis, P. K., Geostatistics, Chapter 20 in Handbook of Hydrology, Edited by D. R. Maidment, pp. 20.1-20.39, MacGraw-Hill, New York, 1993.

34
Keidser, A., and D. Rosbjerg, Comparison of Four Inverse Approaches to Groundwater Flow and Transport Parameter Identification, Water Resour. Res., 27(9), 2219-2232, 1991.

35
Lall, U., Recent advances associated with nonparametric methods in Hydrology, this volume.

36
LaVenue, A. M., and J. F. Pickens, Application of a coupled adjoint sensitivity and Kriging approach to calibrate a Groundwater Flow Model, Water Resour. Res., 28(6), 1543-1569, 1992.

37
Lee, S. -I., and Kitanidis, P. K., Optimal Estimation and Scheduling in Aquifer Remediation with Incomplete Information, Water Resour. Res., 27(9), 2203-2217, 1991.

38
Loaiciga, H. A., R. J. Charbeneau, L. G. Everett, G. E. Fogg, B. F. Hobbs, and S. Rouhani, Review of groundwater quality monitoring network design, ASCE J. of Hydraulic Engineering, 118(1), 11-37, 1992.

39
Matheron, G., The Theory of Regionalized Variables and Its Applications, Ecole de Mines, Fontainbleau, France, 1971.

40
McKinney, D. C., and D. P. Loucks, Network Design for Predicting Groundwate Contamination, Water Resour. Res., (28)1, 133-147, 1992.

41
Neuman, S. P., Adjoint-state finite element equations for parameter estimation. In S. W. Wang, C. V. Alonso, C. A. Brebbia, W. G. Gray, and G. F. Pinder (Eds.), Finite Elements in Water Resources: Proceedings of Third International Conference: New York, Springer-Verlag, 1980.

42
Neuman, S. P., C. L. Winter, and C. M. Newman, Stochastic theory of field-scale Fickian dispersion in anisotropic porous media, Water Resour. Res., 23(3), 453-466, 1987.

43
Rajaram, H., and D. McLaughlin, Identification of large scale spatial trends in hydrologic data, Water Resour. Res., 26(10),2411-2424, 1990.

44
Rizzo, D. M., and D. E. Dougherty, Characterization of aquifer properties using artificial neural networks: Neural Kriging, Water Resour. Res., 30(2), 483-497, 1994.

45
Rouhani, S., and H. Wackernagel, Multivariate geostatistical approach to Space-Time Data Analysis, Water Resour. Res., 26(4):585-591, 1990.

46
Rouhani, S., and D. E. Myers, Problems in space-time kriging of geohydrological data, Mathematical Geology, 22(5), 611-623, 1990.

47
Rouhani, S., Georgakakos, A. P., Kitanidis, P. K., Loaiciga, H. A., Olea, R. A. and Yates, S. R., Geostatistics in Geohydrology, Part I. Basic Concepts, ASCE J. of Hydraulic Engineering, 116(5), 612-632, 1990a.

48
Rouhani, S., Georgakakos, A. P., Kitanidis, P. K., Loaiciga, H. A., Olea, R. A. and Yates, S. R., Geostatistics in Geohydrology: Part II. Applications, ASCE J. of Hydraulic Engineering, 116(5), 633-658, 1990b.

49
Rubin, Y., and G. Dagan, Stochastic analysis of boundaries effects on head spatial variability in heterogeneous aquifers, 1, Constant Head Boundary, Water Resour. Res., 24(10), 1689-1697, 1988.

50
Rubin, Y., Prediction of tracer plume migration in disordered porous media by the method of conditional probabilities, Water Resour. Res., 27(6), 1291-1308, 1991a.

51
Rubin, Y., The spatial and temporal moments of tracer concentration in disordered porous media, Water Resour. Res., 27(11), 2845-2854, 1991b.

52
Rubin, Y., Transport in heterogeneous porous media: Prediction and uncertainty, Water Resour. Res., 27(7), 1723-1738, 1991c.

53
Rubin, Y., and A. G. Journel, Simulation of non-Gaussian space random functions for modeling transport in groundwater, Water Resour. Res., 27(7), 1711-1721, 1991.

54
Rubin, Y., G. Mavko, and J. Harris, Mapping Permeability in Heterogeneous Aquifers Using Hydrologic and Seismic Data, Water Resour. Res., 28(7), 1809-1816, 1992.

55
Russo, D., and M. Bouton, Statistical Analysis of Spatial Variability in Unsaturated Flow Parameters, Water Resour. Res., 28(7), 1911-1925, 1992.

56
Savage, L. J. (1962). The Foundations of Statistical Inference. New York: Wiley and Sons.

57
Schweppe, F. C., Uncertain Dynamic Systems, Prentice-Hall, Englewood-Cliffs, NJ, 1973.

58
Shafer, J. M., and M. D. Varljen, Approximation of Confidence Limits on Sample Semivariograms From Single Realizations of Spatially Correlated Random Fields, Water Resour. Res., 26(8), 1787-1802, 1990.

59
Sun, N-Z., and W. W-G. Yeh, A stochastic Inverse Solution for Transient Groundwater Flow: Parameter Identification and Reliability Analysis, Water Resour. Res., 28(12), 3269-3280, 1992.

60
Suro-Perez, V., and A. G. Journel, Indicator Principal Component Kriging, Mathematical Geology, 23(5), 759-788, 1991.

61
Sudicky, E. A., A natural gradient experiment on solute transport in a sand aquifer: Spatial variability of hydraulic conductivity and its role in the dispersion process, Water Resour. Res., 22(13), 2069-2082, 1986.

62
Tucciarelli, T., and G. Pinder, Optimal data acquisition strategy for the development of a transport model for groundwater remediation, Water Resour. Res., 27(4), 577-588, 1991

63
Tuckey, J. W., Discussion emphasizing the connection between analysis of variance and spectrum analysis. Technometrics, 3, p. 191, 1961.

64
Van der Linde, A., On least squares estimation of generalized covariance functions, Mathematical Geology, 25(1), 1993.

65
Van Geer, F. C., C. B. M. Te Stroet, and Y. Zhou, Using Kalman filtering to improve and quantify the uncertainity of numerical groundwater simulations, 1, The role of system noise and its calibration, Water Resour. Res., 27(8), 1987-1994, 1991.

66
Van Tonder, G. J., J. F. Botha, and D. J. De Waal, Bayesian Estimation of Water Levels, In Proceedings, ModelCARE 90: Calibration and Reliability in Groundwater Modeling, The Hague, 1990.

67
Woodbury, A. D., and E. A. Sudicky, The Geostatistical characteristics of the Borden aquifer, Water Resour. Res., 27(4), 533-546, 1991.

68
Woodbury, A. D., and E. A. Sudicky, Inversion of the Borden Tracer Experiment Data: Investigation of Stochastic Moment Models, Water Resour. Res., 28(9), 2387-2398, 1992.

69
Woodbury, A. D., and T. J. Ulrych, Minimum Relative Entropy : Forward Probabilistic Modeling, Water Resour. Res., 29(8), 2847-2860, 1993.

70
Zhou, Y., Z., C. B. M. Te Stroet, and F. C. Van Geer, Using Kalman filtering to improve and quantify the uncertainity of numerical groundwater simulations,1, The role of system noise and its calibration, Water Resour. Res., 27(8), 1995-2006, 1991.


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Rev. Geophys. Vol. 33 Suppl., © 1995 American Geophysical Union