Fractal analysis of persistence in fluctuation of levels of the Magdalena River

D. A. Prada; D. J. Serrano; M. S. Rueda; L. Duarte; A. Acevedo; S. C. Prada; J. Gómez

doi:10.1088/1757-899X/437/1/012009

Fractal analysis of persistence in fluctuation of levels of the Magdalena River

D. A. Prada, D. J. Serrano, M. S. Rueda, L. Duarte, A. Acevedo, S. C. Prada, J. Gómez

Research output: Contribution to journal › Conference and proceedings › peer-review

1 Scopus citations

Abstract

The measures of water level in a river contributes to understand the dynamic of the discharge in a specific point of the catchment. With this kind of information, it is possible to predict and study future flooding events. The official entity CORMAGDALENA with support of IDEAM report every two days the water level along the Magdalena River. The Hurst coefficient H generates a new statistic methodology, which is based on the tendencies of data series, determining the persistence a dataset and consequently its fractality. This research applies this methodology to a dataset of time, registered by CORMAGDALENA in the municipality of Barrancabermeja, in the Department of Santander. The time has been taken between September 29^th of 2011 and March 31^st of 2017. According to the value of H we can say if the series of behaviours taken has persistence in the case that H is greater than 0.5, if H is less than 0.5 we will say that the series is anti-persistent. With these values of H it is possible to calculate the fractal dimension associated to the comportment and thus to determine the volatility for the analysis of the risk in terms of the fluctuation of the Magdalena River.

Original language	English
Article number	012009
Journal	IOP Conference Series: Materials Science and Engineering
Volume	437
Issue number	1
DOIs	https://doi.org/10.1088/1757-899X/437/1/012009
State	Published - 25 Oct 2018
Event	3rd International Congress of Mechanical Engineering and Agricultural Science, CIIMCA 2017 - Bucaramanga, Colombia Duration: 2 Oct 2017 → 6 Oct 2017

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© Published under licence by IOP Publishing Ltd.

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abstract = "The measures of water level in a river contributes to understand the dynamic of the discharge in a specific point of the catchment. With this kind of information, it is possible to predict and study future flooding events. The official entity CORMAGDALENA with support of IDEAM report every two days the water level along the Magdalena River. The Hurst coefficient H generates a new statistic methodology, which is based on the tendencies of data series, determining the persistence a dataset and consequently its fractality. This research applies this methodology to a dataset of time, registered by CORMAGDALENA in the municipality of Barrancabermeja, in the Department of Santander. The time has been taken between September 29th of 2011 and March 31st of 2017. According to the value of H we can say if the series of behaviours taken has persistence in the case that H is greater than 0.5, if H is less than 0.5 we will say that the series is anti-persistent. With these values of H it is possible to calculate the fractal dimension associated to the comportment and thus to determine the volatility for the analysis of the risk in terms of the fluctuation of the Magdalena River.",

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AU - Acevedo, A.

AU - Prada, S. C.

AU - Gómez, J.

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N2 - The measures of water level in a river contributes to understand the dynamic of the discharge in a specific point of the catchment. With this kind of information, it is possible to predict and study future flooding events. The official entity CORMAGDALENA with support of IDEAM report every two days the water level along the Magdalena River. The Hurst coefficient H generates a new statistic methodology, which is based on the tendencies of data series, determining the persistence a dataset and consequently its fractality. This research applies this methodology to a dataset of time, registered by CORMAGDALENA in the municipality of Barrancabermeja, in the Department of Santander. The time has been taken between September 29th of 2011 and March 31st of 2017. According to the value of H we can say if the series of behaviours taken has persistence in the case that H is greater than 0.5, if H is less than 0.5 we will say that the series is anti-persistent. With these values of H it is possible to calculate the fractal dimension associated to the comportment and thus to determine the volatility for the analysis of the risk in terms of the fluctuation of the Magdalena River.

AB - The measures of water level in a river contributes to understand the dynamic of the discharge in a specific point of the catchment. With this kind of information, it is possible to predict and study future flooding events. The official entity CORMAGDALENA with support of IDEAM report every two days the water level along the Magdalena River. The Hurst coefficient H generates a new statistic methodology, which is based on the tendencies of data series, determining the persistence a dataset and consequently its fractality. This research applies this methodology to a dataset of time, registered by CORMAGDALENA in the municipality of Barrancabermeja, in the Department of Santander. The time has been taken between September 29th of 2011 and March 31st of 2017. According to the value of H we can say if the series of behaviours taken has persistence in the case that H is greater than 0.5, if H is less than 0.5 we will say that the series is anti-persistent. With these values of H it is possible to calculate the fractal dimension associated to the comportment and thus to determine the volatility for the analysis of the risk in terms of the fluctuation of the Magdalena River.

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Fractal analysis of persistence in fluctuation of levels of the Magdalena River

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