Statistical Models and the Estimation of Low Flows

Canadian Water Resources Journal

Volumn 33, Issue 2, 2008, Pages 195-206

  Ouarda, Taha B M J ^a   Charron, Christian ^a   St Hilaire, André ^a  

^a CENTRE EAU TERRE ENVIRONNEMENT   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

FLOOD CONTROL; FLOODS;

CANONICAL CORRELATION ANALYSIS; ESTIMATION APPROACHES; HYDROLOGICAL DATA; NEIGHBOURHOOD; REGIONAL FLOOD FREQUENCY ANALYSIS; REGIONALIZATION APPROACHES; STREAMFLOW RECORDS; UNGAUGED SITES;

FREQUENCY ESTIMATION;

EID: 49949085015     PISSN: 07011784     EISSN: None     Source Type: Journal    
DOI: 10.4296/cwrj3302195     Document Type: Article

References (52)

1. Akaike, H., 1974. “A New Look at the Statistical Model Identification.”. IEEE Transactions on Automatic Control, 19(6):716–723.
2. Arihood, L. D., and Glatfelter, D. R., 1991. “Method for Estimating Low-Flow Characteristics of Ungaged Streams in Indiana.”. In U.S. Geological Survey Water- Supply Paper No. 2372 22
3. Bingham, R. H., 1986. “Regionalization of Low-Flow Characteristics of Tennessee Streams.”. In U.S. Geological Survey Water-Resources Investigation Report 85–4191 63
4. Bonin, D. V., and Burn, D. H., 2005. “Use of Tree Ring Reconstructed Streamflow to Assess Drought.”. Canadian Journal of Civil Engineering, 32:1114–1123.
5. Bradford, M. J., and Heinonen, J. S., 2008. “Low Flows, Instream Flow Needs and Fish Ecology in Small Streams.”. Canadian Water Resources Journal, 33(2):165–180.
6. Brutsaert, W., and Nieber, J. L., 1977. “Regionalized Drought Flow Hydrographs from a Mature Glaciated Plateau.”. Water Resources Research, 13(3):637–643.
7. Burn, D. H., 1990. “An Appraisal of the ‘Region of Influence’ Approach to Flood Frequency Analysis.”. Hydrological Sciences Journal, 35(2):149–165.
8. Burn, D. H., and DeWit, W. J., 1996. “Spatial Characterization of Drought Events Using Synthetic Hydrology.”. Canadian Journal of Civil Engineering, 23(6):1231–1240.
9. Burn, D. H., Wychreschuk, J., and Bonin, D. V., 2004. “An Integrated Approach to the Estimation of Streamflow Drought Quantiles.”. Hydrological Sciences Journal, 40(6):1011–1024.
10. Burn, D. H., and Farid, R., 2007. “Pooled Drought Frequency Analysis.”. In Atelier de l'ACRH “Prediction in Ungauged Basins, Low Flows”, Québec, Qc., 12–13 avril 2007
11. Burn, D. H, Buttle, J. M., Caissie, D., MacCulloch, G., Spence, C., and Stahl, K., 2008. “The Processes, Patterns and Impacts of Low Flows Across Canada.”. Canadian Water Resources Journal, 33(2):107–124.
12. Chapman, T. G., 2003. “Modelling Stream Recession Flows.”. Environmental Modelling & Software, 18:683–692.
13. Chebana, F., and Ouarda, T. B.M.J., 2007. “Multivariate L-Moment Homogeneity Test.”. Water Resources Research, 43:W08406
14. Demuth, S., 2005. “Low Flows and Droughts—A European Perspective.”. In IAHS Newsletter 82, March 2005 7–8.
15. Demuth, S., and Hagemann, L., 1994. “Estimation of Flow Parameters Applying Hydro-geological Area Information.”. In IAHS Publ. 221 151–157.
16. Durrans, S. R., and Tomic, S., 1996. “Regionalisation of Low-Flow Frequency Estimates:An Alabama Case Study.”. Water Resour. Bulletin, 32(1):23–37.
17. Durrans, S. R., Ouarda, T. B.M.J., Rasmussen, P. F., and Bobée, B., 1999. “Treatment of Zeros in Tail Modeling Of Low Flows.”. ASCE Journal of Hydrologic Engineering, 4(1):19–27.
18. El-Adlouni, S., Ouarda, T. B.M.J., Zhang, X., Royand, R., and Bobée, B., 2007. “Generalized Maximum Likelihood Estimators for the Nonstationary Generalized Extreme Value Model.”. Water Resources Research, 43 W03410, doi:10.1029/2005WR004545
19. El-Jabi, N., Ashkar, F., and Issa, M., 1997. “Application stochastique du phénomène d'étiage.”. Canadian Journal of Civil Engineering, 24(2):191–200.
20. Eng, K., and Milley, P. C.C., 2007. “Relating Low-Flow Characteristics to the Base Flow Recession Time Constant at Partial Record Stream Gauges.”. Water Resources Research, 43:W01201
21. GREHYS. 1996. “Inter-Comparison of Regional Flood Frequency Procedures for Canadian Rivers.”. Journal of Hydrology, 186:85–103.
22. Hall, F. R., 1968. Base-Flow Recessions—A Review. Water Resources Research, 4(5):973–983.
23. Hamza, A., Ouarda, T. B.M.J., Durrans, R. S., and Bobée, B., 2001. “Développement de modèles de queues et d'invariance d'échelle pour l'estimation régionale des débits d'étiage.”. In Revue canadienne de Génie civil, 28 291–304.
24. Khaliq, M. N., Ouarda, T. B.M.J., Gachon, P., and Sushama, L., 2008. “Temporal Evolution of Low Flow Regimes in Canadian Rivers.”. In INRS-ETE, Research Report No. R-986 (in French) 64
25. Kroll, C., Luz, J., Allen, B., and Vogel, R. M., 2004. “Developing a Watershed Characteristics Database to Improve Low Streamflow Prediction.”. Journal of Hydrologic Engineering, 9(2):116–125.
26. Laaha, G., and Blöschl, G., 2006. “A Comparison of Low Flow Regionalisation Methods—Catchment Grouping.”. Journal of Hydrology, 323:193–214.
27. Leclerc, M., and Ouarda, T. B.M.J., 2007. “Non- Stationary Regional Flood Frequency Analysis at Ungauged Sites.”. In Journal of Hydrology, doi:10.1016/j.jhydrol.2007.06.021, 343 254–265.
28. Loganathan, G. V., Kuo, C. Y., and McCormik, T. C., 1985. “Frequency Analysis of Low Flows.”. Nordic Hydrology, 16:105–128.
29. McLean, R. K., and Watt, W. E., 2005. “Regional Low Flow Frequency Relations for Central Ontario.”. Canadian Water Resources Journal, 30(3):179–196.
30. Nelsen, R. B., 1999. “An Introduction to Copulas.”. In Lecture Notes in Statistics New York:Springer-Verlag.
31. Ouarda, T. B.M.J., 2007. “Statistical Estimation of Low Flow Characteristics at Ungauged Basins.”. In Atelier de l'ACRH “Prediction in Ungauged Basins, Low Flows”, Québec, Qc., 12–13 avril 2007
32. Ouarda, T. B.M.J., Girard, C., Cavadias, G. S., and Bobée, B., 2001. “Regional Flood Frequency Estimation with Canonical Correlation Analysis.”. Journal of Hydrology, 254:157–173.
33. Ouarda, T. B.M.J., Jourdain, V., Gignac, N., Gingras, H., Herrera, H., and Bobée, B., 2005. “Development of a Low- Flow Regional Estimation Model for the Inhabited Part of Quebec, the ARIDE Model.”. In INRS-ETE, Research Report No R-684-f1 (in French) 174
34. Ouarda, T. B.M.J., Gingras, H., Kouider, A., Rudolf, Z. R., Haché, M., Barbé, M., and Bobée, B., 2002. “REGIONS, A General and Automatic Model for Flood and Drought Regional Estimation at Ungauged Basins.”. In 1st Biennial Workshop of the Statistical Hydrology Committee of the CGU-HS, 2002 Annual Scientific Meeting of the CGU, Banff, AB, May 18–21, 2002
35. Ouarda, T. B.M.J., Ba, K. M., Diaz-Delgado, C., Carsteanu, A., Chokmani, K., Gingras, H., Quentin, E., Trujillo, E., and Bobé, B., 2008. “Regional Flood Frequency Estimation at Ungauged Sites in the Balsas River Basin, Mexico.”. In Journal of Hydrology. doi:10.1016/j.hydrol.2007.09.031, 348 40–58.
36. Pilon, P. J., 1990. “The Weibull Distribution Applied to Regional Low Flow Frequency Analysis.”. In Regionalisation in Hydrology. Proceedings of the Ljubljana Symposium, April 1990, IAHS Publ. 191 227–237.
37. Schwarz, G., 1978. “Estimating the Dimension of a Model.”. Annals of Statistics, 6(2):461–464.
38. Sellars, C. D., Garrett, M., and Woods, S., 2008. “Influence of the Pacific Decadal Oscillation and El Niño Southern Oscillation on Operation of the Capilano Water Supply Reservoir, Vancouver, British Columbia.”. Canadian Water Resources Journal, 33(2):155–164.
39. Smakhtin, V. U., 2001. “Low Flow Hydrology:A Review.”. Journal of Hydrology, 240:147–186.
40. Stedinger, J. R., Vogel, R. M., and Foufoula-Georgiou, E., 1993. “Frequency Analysis of Extreme Events.” Chapter 18”. In Handbook of Hydrology Edited by:Maidment, D. R., 18.54New-York:McGraw-Hill.
41. Tallaksen, L. M., 1989. “Analysis of Time Variability in Recessions.” IAHS Publ. 187 85–96.
42. Tallaksen, L. M., 1995. “A Review of Baseflow Recession Analysis.”. Journal of Hydrology, 165:349–370.
43. Tasker, G. D., 1987. “A Comparison of Methods for Estimating Low Flow Characteristics of Streams.”. Water Resources Bulletin, 23(6):1077–1083.
44. Tucci, C., Silveira, A., Sanchez, J., and Albuquerque, F., 1995. “Flow Regionalization in the Upper Paraguay Basin, Brazil.”. Hydrological Sciences Journal, 40(4):485–497.
45. Vogel, R. M., and Kroll, C. N., 1990. “Generalised Low- Flow Frequency Relationships for Ungauged Sites in Massachusetts.”. Water Resources Bulletin, 26(2):241–253.
46. Vogel, R. M., and Kroll, C. N., 1992. “Regional Geohydrologic-Geomorphic Relationships for the Estimation of Low-Flow Statistics.”. Water Resources Research, 28(9):2451–2458.
47. Vogel, R. M., and Kroll, C. N., 1996. “Estimation of Baseflow Recession Constants.”. Water Resources Management, 10:303–320.
48. Yevjevich, V., 1967. “An Objective Approach to Definitions and Investigations of Continental Hydrologic Droughts.” Fort Collins, Colorado, Hydrology:Colorado State University. Paper No. 23, 8p
49. Young, A. R., Grew, R., and Holmes, M. G.R., 2003. “Low Flows 2000:A National Water Resources Assessment and Decision Support Tool.”. Water Science & Technology, 48(10):119–126.
50. Wittenberg, H., 1994. “Nonlinear Analysis of Flow Recession Curves.”. In IAHS Publ. 221 61–67.
51. Wittenberg, H., 1999. “Baseflow Recession and Recharge as Nonlinear Storage Processes.”. Hydrological Processes, 13:715–726.
52. Zelenhasic, E., and Zalvai, A., 1987. “A Method of Streamflow Drought Analysis.”. Water Resources Research, 23(1):156–168.