The use of the exponentK(q)function to delimit homogeneous regions in regional frequency analysis of extreme annual daily rainfall

Abstract

Abstract:The regional frequency analysis of extreme annual rainfall data is a useful methodology in hydrology to obtain certain quantile values when no long data series are available. The most crucial step in the analysis is the grouping of sites into homogeneous regions. This work presents a new grouping criterion based on some multifractal properties of rainfall data. For this purpose, a regional frequency analysis of extreme annual rainfall data from the Maule Region (Chile) has been performed. Daily rainfall data series of 53 available stations have been studied, and their empirical moments scaling exponent functions K(q) have been obtained. Two characteristics parameters of the K(q) functions (γ max and K(0)) have been used to group the stations into three homogeneous regions. Only five sites have not been possible to include into any homogenous regions, being the local frequency analysis of extreme daily rainfall the most appropriate method to be used at these locations.

Análisis regional de frecuencias de las precipitaciones diarias extremas en Navarra. Elaboración de los mapas de cuantiles

“…Otros ejemplos de ARF de la lluvia son los trabajos de Trefry et al (2005) para las precipitaciones sobre el estado de Michigan; Caporali et al (2006) para lluvias extremas en Toscana; Lin y Chen (2006) para los datos de precipitaciones en Taiwán; Weaver (2006) para las precipitaciones en la ciudad de Charlotte y Mecklenburg (Carolina del Norte); Kysely y Picek (2007) y para precipitación extrema en República Checa; y Norbiato et al (2007) para lluvias extremas en los Alpes orientales italianos. Recientemente hay muchos ejemplos más como Yang et al (2010); Ngongondo et al (2011); Shahzadi et al (2013); Malekinezhad y Zare-Garizi (2014); García-Marín et al (2015); Liu et al (2015); Blanchet et al (2016); Halbert et al (2016); Abdi et al (2017); Hailegeorgis y Alfredsen (2017). En España también se han realizado diversos trabajos como el realizado por el Centro de Estudios Hidrográficos del CEDEX para caracterizar los ríos de la península (Álvarez y Orduña, 2014), o los llevado a cabo para caracterizar las precipitaciones en Galicia (Álvarez et al, 1999), en Andalucía (García-Marín, 2007) y en la vertiente Cantábrica (Montes et al, 2018).…”

Adaptation of the L-Moments Method for the Regionalization for Maximum Annual Temperatures in Colombia

“…The approach of RFA is to use the attainable data from gauged sites within a homogeneous region, to compute quantiles of several return periods in ungauged sites [1]- [3]. A regional approach to frequency analysis in poorly gauged areas makes possible a significant reduction of uncertainty associated with the assessment of hydrological events with a high return period [2], [4]- [8].…”

“…The L-Moments, whenever they represent lineal functions of a dataset, are less sensible to extreme values in the dataset and short records then can be considered more precise and robust estimations of pdf parameters [10]. The L-moments methodology has been widely applied to perform RFA of drought [5], precipitation intensity, and annual extreme rainfall values [1], [2], [11], [12], to delineate homogeneous regions in analyses of minimum flows-low quantiles, related to low flow rates and droughts-and maximum peak flows-high quantiles, related to floods- [3], [13], for regional analysis of extreme skew surges along the coasts of UK [7], and predicted changes in high flows due to climate change [4].…”