Wavelet analyses in hydrology

Advances in Data-Based Approaches for Hydrologic Modeling and Forecasting

Volumn , Issue , 2010, Pages 371-410

  Labat, David ^a  

^a Environmental Research Observatory (ORE) HYBAM Centre IRD d'Ile de France   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE WAVELET TRANSFORMS; EARTH SCIENCES; HYDROLOGY; SIGNAL PROCESSING; WAVELET ANALYSIS;

CONTINUOUS WAVELET TRANSFORM; EXTRACTING INFORMATION; FOURIER ALGORITHMS; HYDROLOGIC MODELING; NONSTATIONARY DATA; TRANSIENT FEATURES; TRANSIENT PHENOMENON; WAVELET COHERENCES;

WAVELET TRANSFORMS;

EID: 84969627691     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9789814307987_0008     Document Type: Chapter

References (156)

1. J. S. Walker, Notices of the American Mathematical Society, 658 (1997).
2. A. Papoulis, Probability, Random Variables and Stochastic Processes (McGraw Hill, 1964).
3. M. B. Priestley, Spectral Analysis and Time Series (Academic Press, 1981).
4. M. Ghil, M. R. Allen, M. D. Dettinger, K. Ide, D. Kondrashov, M. E. Mann, A. W. Robertson, A. Saunders, Y. Tian, F. Varadi and P. Yiou, Rev. Geophys., 1 (2002).
5. J. D. Pelletier and D. L. Turcotte, J. Hydrol., 198 (1997).
6. Y. Tessier, S. Lovejoy, P. Hubert, D. Schertzer and S. Pecknold, J. Geophys. Res. 21, 26427 (1996).
7. P. Pekarova, P. Miklanek and J. Pekar, J. Hydrol., 62 (2003).
8. A. Davis, A. Marshak, W. Wiscombe and R. Cahalan, J. Geophys. Res. 4, 8055 (1994).
9. G. Pandey, S. Lovejoy and D. Schertzer, J. Hydrol., 62 (1998).
10. D. Gabor, J. Inst. Elect. Eng., 429 (1946).
11. A. Grosmann and J. Morlet, SIAM J. Math. Anal., 723 (1984).
12. C. E. Heil and D. F. Walnut, SIAM Rev., 628 (1989).
13. B. Jawerth and W. Sweldens, SIAM Rev., 377 (1994).
14. I. Daubechies, IEEE Trans. Information Theory, 961 (1990).
15. I. Daubechies, Ten Lectures on Wavelets. CSBM-NSF Series Applied Mathematics (SIAM Publications, 1992).
16. S. Mallat, IEEE Trans. Pattern Analysis and Machine Intelligency, 674 (1989).
17. G. Beyklin, R. Coifman and V. Rokhin, Comm. Pure Applied Mathematics, 141 (1991).
18. G. Strang, SIAM Rev., 614 (1989).
19. L. Hudgins, C. A. Friehe and M. E. Mayer, Phys. Rev. Lett., 3279 (1993).
20. Y. Brunet and S. Collineau, in Wavelets in Geophysics, Eds. E. Foufoula-Georgiou and P. Kumar (Academic Press, New York, 1995), p. 129.
21. D. Percival, Biometrika, 619 (1995).
22. D. Percival and H. O. Mofjeld, J. Am. Stat. Assoc., 868 (1997).
23. H. Li and T. Nozaki, JSME Int. J. B, 58 (1997).
24. M. Onorato, M. V. Salvetti, G. Buresti and P. Petagna, European J. Mech. B, 575 (1997).
25. J. Poggie and A. J. Smits, AIAA J., 1597 (1997).
26. P. C. Liu, in Wavelets in Geophysics, Eds. E. Foufoula-Georgiou and P. Kumar (Academic Press, New York, 1995), p. 151.
27. C. Torrence and G. P. Campo, Bull. Am. Meterol. Soc., 61 (1998).
28. Z. Ge, Annales Geophysicae, 2259 (2007).
29. Y. Liu, X. S. Liang and R. H. Weisberg, J. Atmos. Oceanic Tech., 2093 (2007).
30. B. Schaefli, D. Maruan and M. Holschneider, Adv. Water Resour., 2511 (2007).
31. D. Labat, J. Ronchail, J. Callède, J. L. Guyot, E. de Oliveira and W. Guimarães, Geophys. Res. Lett., L02501 (2004).
32. D. Labat, J. Hydrol., 275 (2005).
33. C. Meneveau, J. Fluid Mech., 469 (1991).
34. G. G. Katul, M. B. Parlange and C. R. Chu, Phys. Fluids, 2480 (1994).
35. B. J. Turner, M. Y. Leclerc, M. Gauthier, K. E. Moore and D. R. Fitzjarrald, J. Geophys. Res. 1, 1919 (1994).
36. G. G. Katul and M. B. Parlange, Water Resour. Res., 2743 (1995).
37. D. Labat, R. Ababou and A. Mangin, J. Hydrol., 149 (2000).
38. D. L. Donoho, I. M. Johnstone, G. Kerkyacharan and D. Picard, J. R. Stat. Soc. B, 301 (1995).
39. I. M. Johnstone and B. W. Silverman, J. R. Stat. Soc. B, 319 (1997).
40. R. Carniel, P. Malisan, F. Barazza and S. Grimaz, Soil Dynamics and Earthquake Engineering, 321 (2008).
41. J. E. Bates and H. K. Shepard, Phys. Lett. A, 416 (1993).
42. V. P. Singh, J. Water Soc. America, 1 (2000).
43. C. E. Shannon, Bell System Tech. J., 379 & 623 (1948).
44. A. Rényi, in Selected Papers of Alfred Rényi, 526 (1976).
45. J. O. Sonuga, J. Hydrol., 81 (1976).
46. D. Lemire, C. Pharand, J.-C. R. Rajaonah, B. Dubé and A.-R. LeBlanc, IEEE
47. s. Wessel Biomedical Engineering, 1 (2000).
48. N. Wessel, A. Schimann, A. Schirdewan, A. Voss and J. Kurths, in Lecture Notes in Computer Sciences, 78 (1933).
49. R. Q. Quiroga, O. A. Rosso, E. Basar and M. Schurmann, Biological Cybernetics, 291 (2001).
50. O. A. Rosso, S. Blanco, J. Yordanova, V. Kolev, A. Figliola, M. Cchürmann and E. Basar, J. Neuroscience Methods, 65 (2001).
51. O. A. Rosso, M. T. Martin and A. Plastin, Physica A, 497 (2003).
52. O. A. Rosso and M. L. Mairal, Physica A, 469 (2002).
53. J. Yordanova, V. Kolev, O. A. Rosso, M. Schurmann, O. W. Sakowitz and E. Ozgoren, J. Neuroscience Methods, 99 (2002).
54. S. Sello, New Astronomy, 105 (2002).
55. S. Blanco, A. Figliola, R. Q. Quiroga, O. A. Rosso and E. Serrano, Phys. Rev. E, 932 (1998).
56. D. Labat, R. Ababou and A. Mangin, Comptes Rendus de l'Académie des Sciences de Paris, Géosciences, 551 (2002).
57. S. Sello and J. Bellazzini, in 8th European Turbulence Conference (Barcelona, 2000).
58. Y. Mizuno-Matsumoto, T. Yoshimine, Y. Nii, A. Kato, M. Taniguchi, J. K. Lee, T. S. Ko, S. Date, S. Tamura, S. Shimojo, K. Shinosaki, T. Inouye and M. Takeda, Epilepsy and Behaviour, 288 (2001).
59. Y. Mizuno-Matsumoto, G. K. Motamedi, W. R. S. Webber and R. P. Lesser, Clinical Neurophysiology, 33 (2002).
60. D. Maruan and J. Kurths, Nonlinear Proc. Geophys., 505 (2004).
61. W. A. Gardner, Signal Processing, 113 (1992).
62. C. Torrence and P. J. Webster, J. Climate, 2679 (1999).
63. J. P. Lachaux, A. Lutz, D. Rudrauf, D. Cosmelli, M. Le Van Quyen, J. Martinerie and F. Varela, Neurophysiology Clinic, 157 (2002).
64. D. Labat. Mangin. Comptes Rendus de l'Académie des Sciences de Paris Serie IIa, 873 (1999).
65. A. Grinsted, J. C. Lmoore and S. Jevrejeva, Nonlinear Proc. Geophys., 561 (2004).
66. S. Savin, J. Büchner, G. Consolini, B. Nikutowski, L. Zelenyi, E. Amata, H. U. Auster, J. Blecki, E. Dubinin, K. H. Fornacon, H. Kawano, S. Klimov, F. Marcucci, Z. Nemecek, A. Pedersen, J. L. Rauch, S. Romanov, J. Safrankova, J. A. Sauvaud, A. Skalsky, P. Song and Y. Yermolaev, Nonlinear Proc. Geophys., 443 (2002).
67. P. Kumar and E. Foufoula-Georgiou, Rev. Geophys., 385 (1997).
68. F. Argoul, G. Arnéodo, G. Grasseau, Y. Gagne, E. J. Hopfinger and U. Frish, Nature, 51 (1989).
69. J. Liandrat and F. Moret-Bailly, European J. Mech. B, 1 (1990).
70. M. Farge, Ann. Rev. Fluid Dyn., 395 (1992).
71. S. R. Long, R. J. Lai, N. E. Huang and G. R. Spedding, Dynamics Atmos. Oceans, 79 (1993).
72. H. Higuchi, J. Lewalle and P. Crane, Phys. Fluids, 297 (1994).
73. M. Farge and G. Rabreau, Comptes Rendus Acad. Sc. Paris II, 1479 (1998).
74. S. S. Gonzales, P. N. Gonzales and G. S. Garcia. Uvi-Wave Wavelet Toolbox for use with Matlab (University of Vigo, Department of Communication Technology, 1996), pp. 196.
75. E. P. Flinchem and D. A. Jay, Estuarine, Coastal and Shelf Science, 177 (2000).
76. S. D. Meyers, B. G. Kelly and J. J. O’Brien, Mon. Wea. Rev., 2858 (1993).
77. S. D. Meyers and J. J. O’Brien, Geophys. Res. Lett., 777 (1994).
78. K. Higuchi, J. Huang and S. Shabbar, Int. J. Climatol., 1119 (1999).
79. S. Minobe and N. Mantua, Prog. Ocean., 163 (1999).
80. O. A. Lucero and N. C. Rodriguez, Atmos. Res., 219 (2001).
81. L. C. Breaker, P. C. Liu and C. Torrence, Continental Shelf Research, 727 (2001).
82. A. Fowler, A. Prokoph, R. Stern and C. Dupuis, Geochimica and Cosmochimica Acta, 311 (2002).
83. G. S. Wallace and G. W. Bergantz, Earth Planet. Sci. Lett., 133 (2002).
84. E. W. Bolton, K. A. Maasch and J. M. Lilly, Geophys. Res. Lett., 2753 (1995).
85. J. Jiang, D. Zhang and K. Fraedrich, Int. J. Climatol., 969 (1997).
86. A. Prokoph and J. Veizer, Chemical Geology, 225 (1999).
87. Y. Guyodo, P. Gaillot and J. E. T. Channell, Earth Planet. Sci. Lett., 109 (2000).
88. Y. Yokoyama and T. Yamazaki, Earth Planet. Sci. Lett., 7 (2000).
89. D. Heslop, M. J. Dekkers and C. G. Langereis, Paleogeography Paleoclimatology Paleoecology, 1 (2002).
90. H. Lu, F. Zhang and X. Liu, Global Planetary Change, 67 (2002).
91. N. R. Rigozo, D. J. R. Nordeman, E. Echer, A. Zanandrea and W. D. Gonzales, Adv. Space Res., 1985 (2002).
92. N. R. Rigozo, D. J. R. Nordeman, E. Echer, H. E. da Silva, M. P. Souza Echer and A. Prestes, J. Atmos. Solar-Terrestrial Phys., 449 (2007).
93. N. R. Rigozo, D. J. R. Nordeman, M. P. Souza Echer, E. Echer, H. E. da Silva, A. Prestes and F. L. Guarnieri, J. Atmos. Solar-Terrestrial Phys., 1049 (2007).
94. O. M. Raspopov, V. A. Dergachev, J. Esper, O. V. Kozyreva, D. Frank, M. Ogurtsov, T. Kolström and X. Shao. Paleogeography Paleoclimatology Paleoecology, 6 (2008).
95. S. Baliunas, P. Frick, D. Sokoloff and W. Soon, Geophys. Res. Lett., 1351 (1997).
96. T. Benner, Int. J. Climatol., 391 (1999).
97. O. A. Lucero and N. C. Rodriguez, Atmos. Res., 177 (1999).
98. R. H. Compagnucci, S. A. Blanco, M. A. Figliola and P. M. Jacovkis, Environmetrics, 251 (2000).
99. S. Janicot and B. Sultan, Geophys. Res. Lett., 523 (2000).
100. M. R. Jury and J. L. Melice, Theoretical Appl. Climatology, 161 (2000).
101. J. R. Kulkarni, Int. J. Climatol., 89 (2000).
102. P. Saco and P. Kumar, Water Resour. Res., 1049 (2000).
103. H.-S. Jung, Y. Choi and G.-H. Lim, Int. J. Climatol., 1327 (2002).
104. O. A. Lucero and D. Rozas, Atmos. Res., 35 (2002).
105. P. D. Tyson, G. R. J. Cooper and T. S. McCarthy, Int. J. Climatol., 1105 (2002).
106. S.-K. Min, W.-T. Kwon, E.-H. Park and Y. Choi, Int. J. Climatol., 223 (2003).
107. D. Zheng, X. Ding, Y. Zhou and Y. Chen, Global Planetary Change, 89 (2003).
108. F. Anctil and P. Coulibaly, J. Climate, 163 (2004).
109. N. E. Unal, H. Aksoy and T. Akar, Stoch. Environ. Res. Risk Assess., 245 (2004).
110. P. Coulibaly, Adv. Water Resour., 1846 (2006).
111. T. Partal and M. Küçük, Phys. Chemistry Earth, 1189 (2006).
112. B. Su, M. Gemmer and T. Jiang, Quaternary International, 22 (2008).
113. R. W. Komm, Solar Physics, 45 (1995).
114. R. C. Willson and A. V. Mordvinov, Geophys. Res. Lett., 3613 (1999).
115. L. T. Liu, H. T. Hsu, B. X. Gao and B. Wu, Geophys. Res. Lett., 3001 (2000).
116. B.-L. Li and C. Loehle, Geophys. Res. Lett., 3123 (1995).
117. P. Kovacs, V. Carbone and Z. Vörös, Planetary Space Sci., 1219 (2001).
118. L. Vecsey and C. Matyska, Geophys. Res. Lett., 395 (2001).
119. A. T. Y. Lui, J. Atmos. Solar-Terrestrial Phys., 125 (2002).
120. D. Cowan and G. Cooper, Exploration Geophys., 63 (2003).
121. P. Kumar and E. Foufoula-Georgiou, Water Resour. Res., 2515 (1993).
122. N. Takeuchi, K. Narita and Y. Goto, J. Geophys. Res. 5, 10751 (1994).
123. P. Kumar, J. Geophys. Res., 393 (1996).
124. V. Venugopal and E. Foufoula-Georgiou, J. Hydrol., 3 (1996).
125. G. G. Katul, J. Schieldge, C.-I. Hsieh and B. Vidakovic, Water Resour. Res., 1265 (1998).
126. G. G. Katul, C.-T. Lai, K. Schäfer, B. Vidakovic, J. D. Albertson, D. Ellsworth and R. Oren, Adv. Water Resour., 1119 (2001).
127. J. Szilagyi, M. B. Parlange, G. G. Katul and J. D. Albertson, Adv. Water Resour., 561 (1999).
128. A. C. Furon, C. Wagner-Riddle, C. R. Smith and J. S. Warland, Agri. Forest Meteorol., 1305 (2008).
129. K. Dohan and P. H. Whitfield, Water Sci. Tech., 325 (1997).
130. K. Fraedrich, J. Jiang, F.-W. Gerstengarbe and P. C. Werner, Int. J. Climatol., 1301 (1997).
131. P. H. Whitfield and K. Dohan, Water Sci. Tech., 337 (1997).
132. L. C. Smith, D. L. Turcotte and B. L. Isacks, Hydrol. Process., 233 (1998).
133. D. Labat, R. Ababou and A. Mangin, Ground Water, 605 (2001).
134. D. Labat, J. Ronchail and J.-L. Guyot, J. Hydrol., 289 (2005).
135. C. Gaucherel, J. Hydrol., 101 (2002).
136. M. Lafrenieres and M. Sharp, Hydrol. Process., 1093 (2003).
137. R. M. Lark, S. R. Kaffka and D. L. Corwin, J. Hydrol., 276 (2003).
138. D. Labat, Earth Planet. Sci. Lett., 143 (2006).
139. D. Labat, Adv. Water Resour., 109 (2008).
140. M. Bayazit, B. Önöz and H. Aksoy, Hydrol. Sci. J., 623 (2001).
141. C.-M. Chou and R.-Y. Wang, Hydrol. Sci. J., 721 (2002).
142. H. Aksoy, T. Akar and N. E. Unal, Nord. Hydrol., 165 (2004).
143. H. Aksoy, Z. F. Toprak, A. Aytek and N. E. Unal, Renewable Energy, 2111 (2004).
144. J. Sujono, S. Shikasho and K. Hiramatsu, Hydrol. Process., 403 (2004).
145. B. Cannas, A. Fanni, L. M. See and G. Sias, Physics Chemistry Earth, 1164 (2006).
146. C.-M. Chou, J. Hydrol., 174 (2007).
147. S. Kang and H. Lin, J. Hydrol., 1 (2007).
148. S. N. Lane, Hydrol. Process., 586 (2007).
149. J. F. Adamowski, J. Hydrol., 247 (2008).
150. J. F. Adamkowski, Hydrol. Process., 4877 (2008).
151. S. Kisi, Hydrol. Process., 4142 (2008).
152. T. Partal and H. Cigizoglu, J. Hydrol., 317 (2008).
153. M. Bayazit and H. Aksoy, J. Appl. Stat., 157 (2001).
154. H. Aksoy and N. E. Unal, ASCE J. Hydrol. Eng., 699 (2007).
155. R. Wang and T. Lee, Proceedings of Statistical Methods for Hydrologic Systems, 7, 08651 (1998).
156. T. W. Kim and J. B. Valdes, ASCE J. Hydrol. Eng., 319 (2003).