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Nonstationarities in Hydrologic and Environmental Time by A. Ramachandra Rao, Khaled H. Hamed, Huey-Long Chen (auth.)

By A. Ramachandra Rao, Khaled H. Hamed, Huey-Long Chen (auth.)

Conventionally, time sequence were studied both within the time area or the frequency area. The illustration of a sign within the time area is localized in time, i.e . the worth of the sign at each one speedy in time is definitely outlined . despite the fact that, the time illustration of a sign is poorly localized in frequency , i.e. little information regarding the frequency content material of the sign at a undeniable frequency may be recognized via taking a look at the sign within the time area . nevertheless, the illustration of a sign within the frequency area is easily localized in frequency, yet is poorly localized in time, and to that end it really is very unlikely to inform whilst convinced occasions happened in time. In learning desk bound or conditionally desk bound tactics with combined spectra , the separate use of time area and frequency area analyses is enough to display the constitution of the method . effects mentioned within the past chapters recommend that the time sequence analyzed during this publication are conditionally desk bound methods with combined spectra. also, there's a few indication of nonstationarity, particularly in longer time series.

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R. R. 4. S ummaryof monthlyPDSI series. 7. T he regions in Indiana, Illinois and Oh io states, for which thePD S I series are analyzed in this study. e. 8) 2nf u j "» where~ and are thescanning rate and the moving veloc ityof the probe of SCAM P (Se lf-Contained Autonomous MicroslructureProfiler ) (Carterand Imberger, 1986). SUo). me Batchelor spectrumgiven by Eq. is sampled by spec ifying values of (E'xr )' with ly. 1 mis,respectively. The numberof Fouri er compo nentsn = 64 is selected so that each time asyntheticseries f of 128 observations is generated.

41N-81W Stebbin's Gulch HoldenArb . R. R. 4. S ummaryof monthlyPDSI series. 7. T he regions in Indiana, Illinois and Oh io states, for which thePD S I series are analyzed in this study. e. 8) 2nf u j "» where~ and are thescanning rate and the moving veloc ityof the probe of SCAM P (Se lf-Contained Autonomous MicroslructureProfiler ) (Carterand Imberger, 1986). SUo). me Batchelor spectrumgiven by Eq. is sampled by spec ifying values of (E'xr )' with ly. 1 mis,respectively. The numberof Fouri er compo nentsn = 64 is selected so that each time asyntheticseries f of 128 observations is generated.

2 is shown in Fig. 11. 3) of synthetic series. are generated by sampling fro m thetheoretical (degCf/sec and E B atchelorspectrumwith x, ranging from (1013)* 10-' to fixed at 1(t6 m2/sec' . Each segment contai ns 768 observations. 3 is represented by B (10"'. 8. 4) of synthetic series. eachof which consistsof ten segments. l sec) and x, fixed at 10-6 (degC )2/sec. Each segment contains 256 observa tions. 5) of synthetic series are generatedby sampling from the theoretical B atchelor spec tru m with £ rangin g from (1013)* 10-' to 10-6 m2/sec~ and x, fixed at 10-6(degC)2/sec.

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