Matching objective and subjective information in groundwater inverse analysis by Akaike's Bayesian Information Criterion

Water Resources Research

Volumn 35, Issue 2, 1999, Pages 435-447

  Honjo, Yusuke ^a   Kashiwagi, Nobuhisa ^b  

^a GIFU UNIVERSITY   (Japan)

^b INSTITUTE OF STATISTICAL MATHEMATICS   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BAYESIAN ANALYSIS; GROUNDWATER; INVERSE ANALYSIS; MATHEMATICAL METHOD;

EID: 0032922532     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/98WR02365     Document Type: Article

References (26)

1. Akaike, H., Information theory and an extension of the maximum likelihood principle, in 2nd International Symposium on Information Theory, edited by B. N. Petrov and F. Csaki, pp. 267-281, Akad. Kiado, Budapest, Hungary, 1973.
2. Akaike, H., A new look at statistical model identification, IEEE Trans. Autom. Control., 19, 716-722, 1974.
3. Akaike, H., A new look at the Bayes procedure, Biemstrike, 65, 53-58, 1978.
4. Akaike, H., Likelihood and Bayes procedure with discussion, in Bayesian Statistics, edited by J. M. Bernardo et al., pp. 143-166, 185-203, Univ. Press, Valencia, Spain, 1980.
5. Akaike, H., Selection of prior distribution and its application, in Bayesian Statistics and Its Applications (in Japanese), edited by Y. Suzuki and N. Kunitomi, pp. 81-98, Tokyo Univ. Press, Tokyo, Japan, 1989.
6. Ash, R. B., Information Theory, Dover, New York, 1965.
7. Carrera, J., State of the art of the inverse problem applied to the flow and solute transport equations, in Groundwater Flow and Quality Modeling, NATO ASI Ser., vol. 224, edited by E. Curtodio, A. Gurgui, and J. P. Lobo Ferreira, pp. 549-583, D. Reidel, Norwell, Mass., 1987.
8. Carrera, J., and S. P. Neuman, Estimation of aquifer parameters under transient and steady conditions, 1, Maximum likelihood method incorporating prior information, Water Resour. Res., 22, 199-210, 1986a.
9. Carrera, J., and S. P. Neuman, Estimation of aquifer parameters under transient and steady state conditions, 2, Uniqueness, stability, and solution algorithms, Water Resour. Res., 22, 211-227, 1986b.
10. Carrera, J., and S. P. Neuman, Estimation of aquifer parameters under transient and steady state conditions, 3, Application to synthetic and field data. Water Resour. Res., 22, 228-242, 1986c.
11. Cooley, R. L., Incorporation of prior information on parameters into nonlinear regression groundwater flow models, 1, Theory, Water Resour. Res., 18, 965-976, 1982.
12. Health and Environmental Protection Research Institute of Niigata Prifecture (HEPRI), Investigation report on mechanism of ground subsidence in southern Uonuma area (in Japanese), Nigata, Japan, 1988.
13. Honjo, Y., and N. Kashiwagi, On the optimum smoothing filter for geophysical tomography, Soils Found., 31, 131-144, 1991.
14. Honjo, Y., W. T. Liu, and S. Guha, Inverse analysis of an embankment on soft clay by extended Bayesian method, Int. J. Numer. Anal. Methods Geomech., 18, 709-734, 1994a.
15. Honjo, Y., W. T. Liu, and S. Sakajo, Application of Akaike information statistics to geotechnical inverse analysis: Extended Bayesian method, Struct. Safety, 14, 5-29, 1994b.
16. Honjo, Y., H. Fukui, and S. Ogawa, Inverse analysis of a regional groundwater flow model by extended Bayesian method: In case of steady flow data (in Japanese), J. Geotech. Eng., 535, 93-102, 1996.
17. McLaughlin, D., and L. R. Townley, A reassessment of groundwater inverse problem, Water Resour. Res., 32, 1131-1161, 1996.
18. Neuman, S., and S. Yakowitz, A statistical approach to the inverse problem of aquifer hydrology, 1, Theory, Water Resour. Res., 15, 845-860, 1979.
19. Neuman, S., G. E. Fogg, and E. A. Jacobson, A statistical approach to the inverse problem of aquifer hydrology, 2, Case study, Water Resour. Res., 16, 33-58, 1980.
20. Sakamoto, K., M. Ishiguro, and G. Kitagawa, Akaike Information Criterion Statistics, D. Reidel, Norwell, Mass., 1983.
21. Sun, N.-Z., Inverse Problems in Groundwater Modeling, Kluwer Acad., Norwell, Mass., 1994.
22. Tikhonov, A. M., and V. Y. Arsenin, Solutions of Ill-Posed Problems, John Wiley, New York, 1977.
23. Umgaki, H., and M. Ohya, Probability Theory and Entropy (in Japanese), Kyouritsu-shupan, Tokyo, 1983.
24. Yanaka, T., T. Nagano, K. Yamazaki, and N. Mizutani, Groundwater flow in Muikamachi valley in Niigata prefecture (in Japanese), J. Groundwater Hydrol., 31, 143-153, 1989a.
25. Yanaka, T., T. Maekawa, and T. Nagano, Prediction of ground subsidence of town of Muikamachi in Niigata Prifecture by quasi-three dimensional model (in Japanese), J. Groundwater Hydrol., 31, 155-163, 1989b.
26. Yeh, W. W.-G., Review of parameter identification procedures in groundwater hydrology: The inverse problem, Water Resour. Res., 22, 95-108, 1986.