Random Functions and HydrologyAdvanced-level view of the tools of random processes and field theory as applied to the analysis and synthesis of hydrologic phenomena. Topics include time-series analysis, optimal estimation, optimal interpolation (Kriging), frequency-domain analysis of signals, and linear systems theory. Techniques and examples chosen to illustrate the latest advances in hydrologic signal analysis. Useable as graduate-level text in water resource systems, stochastic hydrology, random processes and signal analysis. 202 illustrations. |
Contents
INTRODUCTION | 1 |
GENERALIZED UNIVARIATE TIMESERIES | 14 |
MULTIVARIATE TIMESERIES ANALYSIS | 91 |
FREQUENCYDOMAIN ANALYSIS | 155 |
LONGTERM PERSISTENCE IN HYDROLOGIC | 210 |
APPENDIX TO CHAPTER 5 THE BROKENLINE | 266 |
The Multivariate BrokenLine Model | 275 |
MULTIDIMENSIONAL HYDROLOGIC PROCESSES | 281 |
ESTIMATION OF STATIC LINEAR HYDROLOGIC | 359 |
ESTIMATION OF DYNAMIC HYDROLOGIC | 425 |
ADDITIONAL DYNAMIC FILTERING CONCEPTS | 466 |
| 521 | |
| 545 | |
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Common terms and phrases
a₁ algorithm analysis approximation assumed autocorrelation function autocovariance autoregressive model average basin behavior Box and Jenkins broken-line process Chapter computed correlation function correlation structure corresponding covariance function covariance matrix defined density discharge discrete distribution drift Eagleson equation example expected value Figure finite forecasting frequency gages Hurst hydrologic implies input Kalman filter Kriging lag-one correlation linear system M₁ matrix mean square error multivariate nonlinear normal number of stations observations obtained optimal Orinoco River parameter estimation partial autocorrelation prediction problem procedure rainfall random field random process random variables reservoir residuals Restrepo-Posada River Rodríguez-Iturbe Rodriguez-Iturbe and Mejía runoff sampling seasonal semivariogram sequence shown in Fig simulation skewness solution spatial spectral spectrum standard deviation stationary stationary process statistics stochastic storm streamflow theory tion variance reduction variogram vector Wadi Halfa Water Resources Res weights x₁ X₁(t Z₁ zero mean