Abstract
Empirical orthogonal functions (EOF) have been used to characterize spatial variability of daily and monthly rainfall and runoff in Indiana. Data from a few of the surrounding states have also been used in the analysis. After a brief discussion of the theory underlying EOF analysis, results of data analysis are presented. These results indicate that the data can be efficiently compressed and that hydrologically and meteorologically homogeneous areas can be objectively delineated by using EOF analysis.
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References
Barnett, T. P., 1977, The principal time and space scales of the pacific trade wind fields, J. Atmos. Sci. 34, 221–236.
Bartlein, Patrick J., 1982, Streamflow anomaly patterns in the U.S.A. and South Canada 1951–1970, J. Hydrol. 57, 49–63.
Craddock, T. M. and Flood, C. R., 1969, Eigenvectors for representing the 500 mb geopotential surface over the Northern Hemisphere, Quart. J. R. Meteorol. Soc. 95, 576–593.
Dalrymple, Tate, 1960, flood-frequency analysis, U.S.G.S. Water Supply Paper 1543-A.
Davis, R. E., 1976, Predictability of sea surface temperature and sea level pressure anomalies over the north Pacific Ocean, J. Phys. Oceanogr. 6, 249–266.
Davis, R. E., 1978, Predictability of sea level pressure anomalies over the north Pacific Ocean, J. Phys. Oceanogr. 8, 233–246.
Grimmer, M., 1963, The space-filtering of monthly surface temperature anomaly data in terms of pattern, using empirical orthogonal function, Quart. J. R. Meteorol. Soc. 39, 395–408.
Hsieh, C. H. and Rao, A. R., 1988. Empirical orthogonal function analysis of hydrologic data: Part I, Report CE-HSE-88-2, School of Civil Engineering, Purdue University, West Lafayette, IN.
Jolliffe, I. T., 1986, Principal Component Analysis, Springer-Verlag, New York.
Kutzback, John E., 1967, Empirical eigenvectors of sea-level pressure surface temperature and precipitation complexes over North America, J. Appl. Meteorol. 6, 791–802.
Lorenz, E. N., 1956, Empirical orthogonal functions and statistical weather prediction, Report No. 1, Statistical Forecasting Project, MIT, 1956.
Preisendorfer, R. W., Zwiers, F. W., and Barnett, T. P., 1981, Foundations of Principal Component Selection Rules, SIO Rep. 81-7, Scripps Institution of Oceanography.
Smirnov, N. P., 1972, Asynchronous long period streamflow fluctuations in the european U.S.S.R., News All-Union Geogr. Sco. 104, 59–63 (translated in Sov. Hydrol. 1, 46–49).
Smirnov, N. P., 1973, Spatial patterns of long-period streamflow fluctuations in the European U.S.S.R., Vodn. Resur. 2, 21–32 (translated in Sov. Hydrol. 2, 112–122).
Stidd, Charles K., 1967, The use of eigenvectors for climatic estimates, J. Appl. Meteorol. 6, 255–264.
Weishar, L. L. and Wood, W. L., 1980, An evaluation of nearshore and beach changes on a tideless coast using empirical eigenfunctions Report, Great Lakes Coastal Research Laboratory, Department of Geosciences, Purdue University, W. Lafayette, IN.
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Rao, A.R., Hsieh, C.H. Empirical orthogonal function analysis of rainfall and runoff series. Water Resour Manage 4, 235–250 (1991). https://doi.org/10.1007/BF00430339
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DOI: https://doi.org/10.1007/BF00430339