Special properties and models

N. T. Kottegoda
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N. T. Kottegoda: University of Birmingham, Department of Civil Engineering

Chapter 5 in Stochastic Water Resources Technology, 1980, pp 173-207 from Palgrave Macmillan

Abstract: Abstract This chapter concerns properties of special significance in hydrology. In the general class of crossing properties, theoretical aspects of runs, run lengths and sums are explained, and their practical relevance is discussed. Reservoir storage analysis which follows includes the Rippl diagram and the concepts of deficit and range. In this context the Hurst phenomenon, which has been an important subject of research and some controversy within the hydrological world and outside, is described, and the associated theoretical treatment of the rescaled range is taken up. Fractional gaussian processes which maintain the Hurst effect over very long time spans are explained. The final sections pertain to models that generate fractional noise and the broken-line model which is outlined. To aid the practitioner, some computer subroutines are provided.

Keywords: Fractional Brownian Motion; Withdrawal Rate; Annual Flow; Fractional Noise; Adjusted Range (search for similar items in EconPapers)
Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:pal:palchp:978-1-349-03467-3_5

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DOI: 10.1007/978-1-349-03467-3_5

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