Multivariate delineation of rainfall homogeneous regions for estimating quantiles of maximum daily rainfall: A case study of northwestern Mexico

Abstract

RESUMENLa escasez de información en el análisis de frecuencias de lluvias máximas diarias puede generar estimadores ineficaces para propósitos de diseño. Una forma de reducir estos errores es la aplicación de técnicas regionales, las cuales requieren que las estaciones involucradas pertenezcan a la misma región homogénea. En este trabajo se realiza una delimitación de regiones homogéneas de precipitación empleando un método multivariado basado en las técnicas de análisis de componentes principales y de agrupamiento jerárquico ascendente. La metodología propuesta se aplicó a una región del noroeste de México. Se concluyó que sólo se requieren los coeficientes de variación de los momentos-L y de la latitud, longitud y altitud de cada estación climatológica para definir las regiones homogéneas de precipitación, y que la inclusión o exclusión de información en las técnicas regionales tiene un impacto directo en la estimación de eventos asociados a diferentes periodos de retorno. ABSTRACTLack of data in maximum daily rainfall frequency analysis can generate inefficient estimates for design purposes. An approach to diminish these errors is to apply regional estimation techniques, which require that all stations be located at the same homogeneous region. In this paper, a delineation of homogeneous precipitation regions was made based on the multivariate methods of principal component analysis and hierarchical ascending clustering. A region in northwestern Mexico was selected to apply this methodology. It was concluded that only the coefficients of variation of the L-moments, along with latitude, longitude and altitude at each climatological station are sufficient to define the homogeneous rainfall regions, and that either the inclusion or exclusion of information in the regional techniques has a direct impact on the estimation of events associated to different return periods.

Modeling of flood extremes using regional frequency analysis of sites of Khyber Pakhtunkhwa, Pakistan

“…Rao and Srinivas (2008) also provided useful details of hierarchical cluster analysis for the identification of homogeneous regions. Few other studies using hierarchical cluster analysis for the formation of homogenous regions are Arellano‐Lara and Escalante‐Sandoval (2014) and Rasheed et al, 2019. This study has used hierarchical cluster analysis based on site characteristics with few subjective adjustments to partition the group of 36 sites into four homogeneous regions.…”

Autocorrelation Ratio as a Measure of Inertia for the Classification of Extreme Events

“…Campos-Aranda (1994) [4] employed the Lagbein test carry out to hydrometric records to regionalize RH10, and did not find subgroups. At that time, in 2014 [39], they employed a principal component analysis (PCA) and hierarchical ascending method procedure. They recognized three regions at different altitudes, all parallel to the coast and parallel to the Sierra Madre (Figure 3).…”

“…Arellano-Lara, and Escalante-Sandoval (2014) [39] Principal component analysis [51] and hierarchical ascending clustering [52] Three regions parallel to the coast and parallel to the Sierra Madre (Figure 3).…”

Comparison between MODFLOW Groundwater Modeling with Traditional and Distributed Recharge

“…The PGR map was obtained from national databases integrating vector files [45,46]. The precipitation map was made through the interpolation [47] of meteorological information [48] that, together with the drainage map, was processed in a geographic information system.…”