Testing Hydrologic Time Series for Stationarity
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Abstract
The main objective of this study is to examine if hydrologic monthly series are stationary. A segmentation algorithm is applied so that nonstationary series are identified and partitioned into stationary segments. Four sets of hydrologic data are analyzed, including monthly streamflow, temperature, precipitation, and Palmer’s drought severity index series. The first-order differenced standardized monthly series are also analyzed, in addition to the standardized monthly series. The results indicate that more series of monthly streamflow and Palmer’s drought severity index are identified as nonstationary than stationary, while more series of monthly temperature and precipitation are stationary. The change points are commonly observed during two periods, one between 1960 and 1970, and the other between 1930 and 1940. In general, standardized hydrologic monthly series, either differenced or not, are nonstationary.
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References
Appel, U., and Brandt, A. V.(1983). “Adaptive sequential segmentation of piecewise stationary time series.” Inf. Sci. (N.Y.), 29, 27–56.
Bardossy, A., and Caspary, H.(1990). “Detection of climate change in Europe by analysing European atmospheric circulation patterns from 1881 to 1989.” Theor. Appl. Climatol.,42, 155–167.
Bhattacharya, D. (1996a). “Rescaled range characteristics of monthly hydrologic series—I.” Tech. Rep. No. CE-EHE-96-3(a), Purdue Univ., West Lafayette, Ind.
Bhattacharya, D. (1996b). “Rescaled range characteristics of monthly hydrologic series—I.” Technical Rep. No. CE-EHE-96-3(b), Purdue Univ., West Lafayette, Ind.
Bhattacharya, D. (1996c). “Empirical orthogonal functions. IV: Monthly PDSI series.” Tech. Rep. No. CE-EHE-96-4(d), Purdue Univ., West Lafayette, Ind.
Bhattacharya, D. (1997). “Memory, periodicity and heteroskedasticity in hydrologic time series,” PhD thesis, Purdue Univ., West Lafayette, Ind.
Chen, H.-L. (1999a). “Stochastic characteristics of environmental and hydrologic time series.” PhD thesis, Purdue Univ., West Lafayette, Ind.
Chen, H.-L. (1999b). “Stochastic characteristics of synthetic and observed time series.” Tech. Rep. No. CE-EHE-99-3, Purdue Univ., West Lafayette, Ind.
Chen, H.-L., and Rao, A. R.(1998). “Periodicity in midwest U.S. climatic data: The Hale cycle or the luni-solar signal?” Stochastic Hydrol. Hydr., 12(4), 205–222.
Davis, R. A., Huang, D., and Yao, Y.-C.(1995). “Testing for a change in the parameter values and order of an autoregressive model.” Ann. Stat., 21, 671–680.
de Souza, P. V., and Thomson, P. J.(1982). “LPC distance measures and statistical tests with particular reference to the likelihood ratio.” IEEE Trans. Acoust., Speech, Signal Process., 30(2), 304–315.
EarthInfo. (1993). “Earthinfo USGS daily values.” CD-ROM, EarthInfo Inc., Boulder, Colo.
Hamed, K. H. (1997). “Investigation of stationarity of hydrologic and climatic time series.” PhD thesis, Purdue Univ., West Lafayette, Ind.
Hipel, K. W., and McLeod, A. I. (1994). Time series modelling of water resources and environmental systems, Elsevier, Amsterdam, 463–465.
Hubert, P.(2000). “The segmentation procedure as a tool for discrete modeling of hydrometeorological regimes.” Stoch. Environ. Res. Risk Assess., 14, 297–304.
Hubert, P., Carbonnel, J. P., and Chaouche, A.(1989). “Segmentation des séries hydrométéorologiques. Application à des séries de précipitations et de débits de l’Afrique de l’Ouest.” J. Hydrol., 110, 349–367.
Hudgins, L. H., Mayer, M. E., and Friehe, C. A. (1993). “Fourier and wavelet analysis of atmospheric turbulence.” Progress in wavelet analysis and applications, Y. Meyer and S. Roques, eds., Editions Frontiers, Paris, 491–498.
Hurrell, J.(1995). “Decadal trends in the North Atlantic oscillation: Regional temperature and precipitation.” Science, 269, 676–679.
Imberger, J., and Ivey, G. N.(1991). “On the nature of turbulence in a stratified fluid. Part II: Applications to lakes.” J. Phys. Oceanogr., 21(5), 659–679.
Lovell, B., and Boashash, B.(1987). “Evaluation of criteria for detection of changes in nonstationary signals.” IASTED Int. Symposium on Signal Processing and its Applications, Brisbane, 1, 291–296.
Perreault, L., Haché, M., Slivitzky, M., and Bobée, B.(1999). “Detection of changes in precipitation and runoff over eastern Canada and U.S. using a Bayesian approach.” Stoch. Environ. Res. Risk Assess., 13, 201–216.
Quinn, F. H.(1981). “Secular changes in annual and seasonal Great Lakes precipitation, 1854–1979, and their implications for Great Lakes water resource studies.” Water Resour. Res., 17(6), 1619–1624.
Rodionov, S. N., and Krovnin, A. S.(1992). “The 1980’s in the context of climate changes in the North Atlantic region.” ICES Mar. Sci. Symp., 195, 86–95.
Salas, J. D. (1993). “Analysis and modeling of hydrologic time series.” The McGraw-Hill handbook of hydrology, D. R. Maidment, ed., 19.5–19.9.
Subba Rao, T., and Indukumar, K. C.(1996). “Spectral and wavelet methods for the analysis of nonlinear and nonstationary time series.” J. Franklin Inst., 333(B3), 425–452.
Tewfik, A. H., and Kim, M.(1992). “Correlation structure of the discrete wavelet coefficients of Fractional Brownian Motion.” IEEE Trans. Inf. Theory, 38, 904–909.
Tsay, R. S.(1988). “Outliers, level shifts, and variance changes in time series.” J. Forecast., 7, 1–20.
Wold, H. (1938). A study in the analysis of stationary time series (2nd Ed. 1954), Almquist and Wicksell, Uppsala, Sweden.
Wornell, G. W. (1996). Signal processing with fractals: A wavelet-based approach, Prentice-Hall, Upper Saddle River, N.J.
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Copyright © 2002 American Society of Civil Engineers.
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Received: Feb 15, 2000
Accepted: Aug 13, 2001
Published online: Mar 1, 2002
Published in print: Mar 2002
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