Resumen

CAMPOS-ARANDA, Daniel Francisco. Definition of three flood seasons using directional statistics. Tecnol. cienc. agua [online]. 2017, vol.8, n.1, pp.155-165. ISSN 2007-2422.  https://doi.org/10.24850/j-tyca-2017-01-11.

Establishing three seasons or spells in river floods, based on the dates of occurrence of annual magnitudes, has several practical applications such as: estimating seasonal flows design, the optimal operation of reservoirs and the efficient management of associated water systems like floodplains generated by their storage or discharge. Nowadays, seasonality or temporality indices of annual floods are a common method to properly study their seasonal behavior. In this paper a method based on directional statistics is described in detail which allows the rational and objective definition of three flood season (FS), the pre-FS, the main-FS and the post-FS, based on circular standard deviation. The method is applied to records of annual floods of hydrometric stations Guamúchil and Huites of the Hydrological Region No. 10 (Sinaloa). The analysis of the results pointed out the simplicity and accuracy of the procedure when a river with great seasonality is studied and a flood dominant season can be defined. Accordingly, the difficulties to set the flood seasons in a river with low seasonality having two flood seasons (the winter with few extreme events but of greater magnitude and vice versa in the summer) are highlighted. Conclusions recommend the systematic application of the method, because it helps greatly on visualizing and understanding the seasonal behavior of floods in a river.

Palabras llave : Seasonal floods; directional statistics; seasonality indices; circular standard deviation; weighted coordinates; and Guamúchil and Huites hydrometric stations.

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