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A mathematical framework for studying rainfall intensity-duration-frequency relationships

D. Koutsoyiannis, D. Kozonis, and A. Manetas, A mathematical framework for studying rainfall intensity-duration-frequency relationships, Journal of Hydrology, 206 (1-2), 118–135, 1998.

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[English]

A general formula for the rainfall intensity-duration-frequency (idf) relationship, consistent with the theoretical probabilistic foundation of the analysis of rainfall maxima is proposed. Specific forms of this formula are explicitly derived from the underlying probability distribution function of maximum intensities. Several appropriate distribution functions are studied for that purpose. Simple analytical approximations of the most common distribution functions are presented, which are incorporated in, and allow mathematically convenient expressions of idf relationships. Also, two methods for a reliable parameter estimation of idf relationships are proposed. The proposed formulation of idf relationships constitutes an efficient parameterisation, facilitating the description of the geographical variability and regionalisation of idf curves. Moreover, it allows incorporating data from non-recording stations, thus remedying the problem of establishing idf curves in places with a sparse network of rain-recording stations, using data of the denser network of non-recording stations. Case studies, based on data of a significant part of Greece, briefly presented in the paper, clarify the methodology for the construction and regionalisation of the idf relationship.

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See also: http://dx.doi.org/10.1016/S0022-1694(98)00097-3

Our works referenced by this work:

1. D. Koutsoyiannis, A stochastic disaggregation method for design storm and flood synthesis, Journal of Hydrology, 156, 193–225, doi:10.1016/0022-1694(94)90078-7, 1994.
2. D. Kozonis, Construction of rainfall intensity-duration-frequency curves with incomplete data, Diploma thesis, 94 pages, Department of Water Resources, Hydraulic and Maritime Engineering – National Technical University of Athens, Athens, June 1995.
3. D. Koutsoyiannis, Statistical Hydrology, Edition 4, 312 pages, doi:10.13140/RG.2.1.5118.2325, National Technical University of Athens, Athens, 1997.

Our works that reference this work:

1. D. Koutsoyiannis, A probabilistic view of Hershfield's method for estimating probable maximum precipitation, Water Resources Research, 35 (4), 1313–1322, doi:10.1029/1999WR900002, 1999.
2. D. Koutsoyiannis, and G. Baloutsos, Analysis of a long record of annual maximum rainfall in Athens, Greece, and design rainfall inferences, Natural Hazards, 22 (1), 29–48, doi:10.1023/A:1008001312219, 2000.
3. D. Koutsoyiannis, An entropic-stochastic representation of rainfall intermittency: The origin of clustering and persistence, Water Resources Research, 42 (1), W01401, doi:10.1029/2005WR004175, 2006.
4. D. Koutsoyiannis, and A. Langousis, Precipitation, Treatise on Water Science, edited by P. Wilderer and S. Uhlenbrook, 2, 27–78, Academic Press, Oxford, 2011.

Works that cite this document: View on Google Scholar or ResearchGate

Other works that reference this work (this list might be obsolete):

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