Correlation and covariance of runoff revisited

Journal of Hydrology

Volumn 398, Issue 1-2, 2011, Pages 76-90

  Gottschalk, L ^a   Leblois, E ^b   Skoien J O ^c  

^a UNIVERSITY OF OSLO   (Norway)

^b CEMAGREF   (France)

^c UTRECHT UNIVERSITY   (Netherlands)

Author keywords

Composite random process; Correlation; Covariance; Interpolation; Runoff; Spatio temporal variability

Indexed keywords

AUTOCORRELATION FUNCTIONS; BASIN AREA; COMPOSITE RANDOM PROCESS; CORRELATION; COVARIANCE; COVARIANCE FUNCTION; DATA SETS; DESCRIPTORS; DIFFERENT STRUCTURE; DRAINAGE BASIN; INTERMITTENCY; LOCAL FEATURE; LOW CORRELATION; RIVER NETWORK; SPATIAL COVARIANCE; SPATIO-TEMPORAL; SPATIO-TEMPORAL DATA; SPATIOTEMPORAL CORRELATION; SPATIOTEMPORAL VARIABILITY; STATISTICAL DESCRIPTORS; TEMPORAL SUPPORT; THEORETICAL MODELS; UNCERTAINTY MEASURES;

AUTOCORRELATION; DATA PROCESSING; INTERPOLATION; RANDOM PROCESSES; REGRESSION ANALYSIS; RIVERS; RUNOFF; TIME SERIES;

CATCHMENTS;

AUTOCORRELATION; CORRELATION; COVARIANCE ANALYSIS; DATA ASSIMILATION; DATA SET; DRAINAGE BASIN; HEADWATER; INTERPOLATION; NUMERICAL MODEL; RIVER BASIN; RUNOFF; SPATIAL ANALYSIS; SPATIOTEMPORAL ANALYSIS; UNCERTAINTY ANALYSIS;

FRANCE; MOSELLE RIVER;

EID: 78951492444     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2010.12.011     Document Type: Article

References (38)

1. Cressie N. The origins of kriging. Mathematical Geology 1990, 22(3):239-254.
2. Creutin J.D., Obled C. Objective analysis and mapping techniques for rainfall fields: an objective comparison. Water Resources Research 1982, 18:413-431.
3. Daley R. Atmospheric Data Analysis 1991, Cambridge University Press.
4. Dooge J.C.I. A general theory of the unit hydrograph. Journal of Geophysical Research 1959, 64(2):241-256.
5. Dooge J.C.I. The hydrological cycle as a closed system. IAHS Bulletin XIII 1967, 1:56-68.
6. Eagleson P.S. Dynamics of flood frequency. Water Resources Research 1972, 8(4):878-898.
7. Gandin, L.S., 1963. Objektivnij analis meteorologicheskikh polej. Gidrometerologicheskoe Izdatelstvo, Leningrad (objective analysis of meteorological fields).
8. Gelfand I.M., Vilenkin N.Ya Generalized Functions. Applications of Harmonic Analysis 1964, vol. 4. Academic Press, New York.
9. Ghosh B. Random distances within a rectangle and between two rectangles. Bulletin of the Calcutta Mathematical Society 1951, 43.
10. Gottschalk L. Correlation structure and time scale of simple hydrological systems. Nordic Hydrology 1977, 8:129-140.
11. Gottschalk L. Spatial correlation of hydrologic and physiographic elements. Nordic Hydrology 1978, 9:267-276.
12. Gottschalk L. Correlation and covariance of runoff. Stochastic Hydrology and Hydraulics 1993, 7:84-101.
13. Gottschalk L. Interpolation of runoff applying objective methods. Stochastic Hydrology and Hydraulics 1993, 7:269-281.
14. Gottschalk L. Methods for analysing variability. Encyclopedia of Hydrological Sciences 2005, vol. 1:95-122. John Wiley & Sons, (Chapter 6).
15. Gottschalk, L., Jutman, T., 1979. Statistical Analysis of Snow Survey Data. Swedish Meteorological and Hydrological Institute, Rapporter. Hydrologi och Oceanografi, Nr RHO 20, Norrköping.
16. Gottschalk L., Krasovskaia I. Statistical river flow descriptors for environmental flow assessment. Proceedings of the Sixth FRIEND World Conference Fes, Morocco, October, 2010 2010, IAHS Publ. 340:350-357. IAHS Press, Wallingford, UK.
17. Gottschalk L., Krasovskaia I., Leblois E., Sauquet E. Mapping mean and variance of runoff in a river basin. Hydrology and Earth System Sciences 2006, 10:1-16.
18. Gottschalk, L., Leblois, E., Skøien, J.O., submitted for publication. Distance measures for hydrological data having a support.
19. Gumbel E.J. Statistics of Extremes 1958, Columbia University Press, New York.
20. Kolmogorov A.N. Interpolation and extrapolation of stationary sequences. Izvestia Akademii Nauk SSSR, Seria Matematicheskaia 1941, 5:3-14.
21. Krasovskaia I., Gottschalk L., Leblois E., Pacheco A. Regionalization of flow duration curves. Proceedings of the Fifth FRIEND World Conference Havana, Cuba, November, 2006 2006, IAHS Publ. 308:105-110. IAHS Press, Wallingford, UK.
22. Krige D.G. A statistical approach to some basic mine valuation problems of the Witwatersrand. Journal Chemical Metallurgical and Mining Society South Africa 1951, 52:119-139.
23. Laaha G., Skøien J., Blöschl G. A comparison of Top-kriging and regional regression for low flow regionalisation. Geophysical Research Abstracts 2007, 9.
24. Matérn B. Spatial Variation. Meddelanden från Statens Skogsforskiningsinstitut 1960, 49(4).
25. Matheron, G., 1963. Traité de Geostatistique Appliquée. Tome 1, Editions Techniques, Paris.
26. McLaughlin D. An integrated approach to hydrologic data assimilation: interpolation, smoothing and filtering. Advances in Water Resources 2002, 25:1275-1286.
27. Pacheco A., Gottschalk L., Krasovskaia I. Regionalization of low flow in Costa Rica. Proceedings of the Fifth FRIEND World Conference Havana, Cuba, November, 2006 2006, IAHS Publ. 308:111-116. IAHS Press, Wallingford, UK.
28. Patil S., Stieglitz M. Hydrologic similarity among catchments under variable flow conditions. Hydrology and Earth System Sciences Discussion 2010, 7:8607-8630.
29. Press W.H., Flannery B.P., Teukolsky S.A., Vetterling W.T. Numerical Recipes in Pascal 1989, Cambridge University Press.
30. Sauquet E., Gottschalk L., Leblois E. Mapping mean monthly runoff patterns using EOF analysis. Hydrological Sciences Journal 2000, 45(6):799-815.
31. Sauquet E., Gottschalk L., Krasovskaia I. Estimating mean monthly runoff at ungauged locations: an application to France. Hydrology Research 2008, 39(5-6):403-423.
32. Skøien J.O., Blöschl G. Catchments as space-time filters - a joint spatio-temporal geostatistical analysis of runoff and precipitation. Hydrology and Earth System Sciences 2006, 10:645-662.
33. Skøien J.O., Blöschl G. Spatio-temporal Top-kriging of runoff time series. Water Resources Research 2007, 43:W09419. 10.1029/2006WR005760.
34. Skøien J.O., Merz R., Blöschl G. Top-kriging - geostatistics on stream networks. Hydrology and Earth System Sciences 2006, 10:277-287.
35. Vanmarcke E. Random Fields: Analysis and Synthesis 1988, MIT Press, Cambridge, Mass. third ed.
36. Viglione, A., Chirico, G.B., Woods, R., Blöschl, G., in press-a. Generalised synthesis of space-time variability in flood response: an analytical framework. Journal of Hydrology. doi:10.1016/j.jhydrol.2010.05.047.
37. Viglione, A., Chirico, G.B., Jürgen Komma, J., Woods, R., Marco Borga, M., Blöschl, G., in press-b. Quantifying space-time dynamics of flood event types. Journal of Hydrology. doi:10.1016/j.jhydrol.2010.05.041.
38. Wiener H. Extrapolation, Interpolation and Smoothing of Stationary Time Series 1949, MIT Press, Cambridge, Mass.