Entropy-Based Probability Distribution for IDF Curves
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abstract
The maximum rainfall for a given duration follows a probability distribution which can employed for constructing rainfall-intensity-duration- frequency (IDF) curves. IDF curves are utilized for hydraulic design of storm sewers, culverts, drainage structures, parking lots, and detention ponds. It is now accepted that rainfall maxima are being influenced by climate change. This then raises a question about the reliability of these structures under climate change. To that end, the question we ask is: Does the maximum rainfall probability distribution vary with the change in duration? Does this distribution vary with climatic regime? What is the influence of the distance from the sea on the distribution? Employing the entropy theory, a general probability distribution for maximum rainfall is derived and tested using data from different climatic regimes in Texas. The changes in the form of this distribution with changes in time scale, climatic regime, and distance from the Gulf of Mexico are then investigated. 2011 ASCE.
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World Environmental and Water Resources Congress 2011