Characterizing the spatial variability of groundwater quality using the entropy theory: I. synthetic data

Hydrological Processes

Volumn 18, Issue 11, 2004, Pages 2165-2179

  Mogheir, Y ^a,b   de Lima, J L M P ^c   Singh, V P ^d  

^a UNIVERSITY OF COIMBRA   (Portugal)

^b Palestinian National Authority   (Palestine)

^c UNIVERSITY OF COIMBRA   (Portugal)

^d LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

Correlation; Entropy; Information; Spatial vatiability

Indexed keywords

CORRELATION METHODS; INFORMATION ANALYSIS; PROBABILITY DENSITY FUNCTION; WATER QUALITY;

CORRELATION COEFFICIENTS; INFORMATION TRNASFER INDEX; SYNTHETIC DATA SETS; TRANSINFORMATION;

GROUNDWATER;

ENTROPY; GROUNDWATER; MATHEMATICAL ANALYSIS; SPATIAL VARIATION; WATER QUALITY;

EID: 4644252067     PISSN: 08856087     EISSN: None     Source Type: Journal    
DOI: 10.1002/hyp.1465     Document Type: Article

References (27)

1. Berthouex PM, Brown, LC. 1994. Statistics for Environmental Engineers. CRC Press: Florida; 335 pp.
2. Bueso MC, Angulo JM, Cruz-Sanjulian J, Carcia-Arostegui JL. 1999. Optimal spatial sampling design in a multivariate framework. Mathematical Geology 31(5): 507-525.
3. Caselton WF, Husain T. 1980. Hydrologic network: information transmission. Journal of Water Resources Planning and Management Division ASCE 106(WR2): 503-529.
4. Cressie NC. 1990. Statistics for Spatial Data, revised edition. Wiley: New York; 900 pp.
5. Darbellay GA, Wuertz D. 2000. The entropy as a tool for analysing statistical dependence in financial time series. Physica A 287(3-4): 429-439.
6. Harmancioglu NB. 1981. Measuring the information content of hydrological processes by the entropy concept. Centennial of Ataturk's Birth, Journal of the Civil Engineering Faculty of Ege University: 13-88.
7. Harmancioglu NB, Alpaslan N. 1992. Water quality monitoring network design. Water Resources Bulletin 28(1): 179-192.
8. Harmancioglu NB, Fistikoglu O, Ozkul SD, Singh VP, Alpaslan MN. 1999. Water Quality Monitoring Network Design. Kluwer Academic Publishers: Boston: 299 pp.
9. Harmancioglu NB, Yevjevich V. 1987. Transfer of hydrologic information among river points. Journal of Hydrology 91: 103-118.
10. Husain T. 1989. Hydrologic uncertainty measure and network design. Water Resources Bulletin 25(3): 527-534.
11. Jessop A. 1995. Informed Assessments, an Introduction to Information, Entropy and Statistics. Ellis Horwood: New York; 366 pp-.
12. Kapur JN, Kesavan HK. 1992. Entropy Optimisation Principles with Applications. Academic Press: San Diego; 408 pp.
13. Krastanovic PF, Singh VP. 1992. Evaluation of rainfall networks using entropy II. Water Resources Management 6: 295-314.
14. Lee Y, Ellis JH. 1997. On the equivalence of Kriging and maximum entropy estimators. Mathematical Geology 29(1): 131-152.
15. Lubbe CA. 1996. Information Theory. Cambridge University Press: Cambridge; 350 pp-.
16. Mogheir Y, Singh VP. 2002. Application of information theory to groundwater quality monitoring networks. Water Resources Management 16(1): 37-49.
17. Mogheir Y, de Lima JLMP, Singh VP. 2004. Characterizing the spatial variability of groundwater quality using the entropy theory: II. Case study from Gaza Strip. Hydrological Processes (in press).
18. Ozkul S, Harmancioglu NB, Singh VP. 2000. Entropy-based assessment of water quality monitoring networks. Journal of Hydrologic Engineering, American Society of Civil Engineers 5(1): 90-100.
19. Rojdestvenski I, Cottam MG. 2000. Mapping of statistical physics to information theory with application to biological system. Journal of theoretical Biology 202(1): 43-54.
20. Shannon CE. 1948. A mathematical theory of communication, II and I. Bell System Technical Journal 27: 379-423.
21. Singh VP. 1997. The use of entropy in hydrology and water resources. Hydrological Processes 11: 587-626.
22. Singh VP. 1998. Entropy-based Parameter Estimation in Hydrology. Kluwer Academic Publishers: Boston.
23. Sy BK. 2001. Information-statistical pattern based approach for data mining. Journal of Statistical Computation and Simulation 69(2): 171-201.
24. Ulanowicz RE. 2001. Information theory in ecology. Computers and Chemistry 25(4): 393-399.
25. Uslu O, Tanriover A. 1979. Measuring the information content of hydrological process. Proceedings of the First National Congress on Hydrology, Istanbul; 437-443.
26. Yang Y, Burn D. 1994. An entropy approach to data collection network design. Journal of Hydrology 157: 307-324.
27. Zhou Y. 1996. Spatial Data Generation Program (COVRAN). IHE Delft, The Netherlands.