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Statistical Study of Rainfall Control: The Dagum Distribution and Applicability to the Southwest of Spain

1
Engineering Projects Department, Universidad de Extremadura, Avda. Elvas s/n, 06071 Badajoz, Spain
2
Graphical Expression Department, Universidad de Extremadura, Avda. Elvas s/n, 06071 Badajoz, Spain
3
Infrastructure Department, Diputación de Badajoz, 06002 Badajoz, Spain
*
Author to whom correspondence should be addressed.
Water 2019, 11(3), 453; https://doi.org/10.3390/w11030453
Received: 1 January 2019 / Revised: 19 February 2019 / Accepted: 22 February 2019 / Published: 4 March 2019
(This article belongs to the Section Hydrology)
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Abstract

It is of vital importance in statistical distributions to fit rainfall data to determine the maximum amount of rainfall expected for a specific hydraulic work. Otherwise, the hydraulic capacity study could be erroneous, with the tragic consequences that this would entail. This study aims to present the Dagum distribution as a new statistical tool to calculate rainfall in front of frequent statistical distributions such as Gumbel, Log-Pearson Type III, Gen Extreme Value (GEV) and SQRT-ET max. The study was performed by collecting annual rainfall data from 52 meteorological stations in the province of Badajoz (Spain), using the statistical goodness-of-fit tests of Anderson–Darling and Kolmogorov–Smirnov to establish the degree of fitness of the Dagum distribution, applied to the maximum annual rainfall series. The results show that this distribution obtained a flow 21.92% greater than that with the traditional distributions. Therefore, in the Southwest of Spain, the Dagum distribution fits better to the observed rainfall data than other common statistical distributions, with respect to precision and calculus of hydraulics works and river flood plains. View Full-Text
Keywords: hydrology; statistical distributions; hydrology projects; rainfall control hydrology; statistical distributions; hydrology projects; rainfall control
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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López-Rodríguez, F.; García-Sanz-Calcedo, J.; Moral-García, F.J.; García-Conde, A.J. Statistical Study of Rainfall Control: The Dagum Distribution and Applicability to the Southwest of Spain. Water 2019, 11, 453.

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