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Computational statistical analysis of estimated river discharge with Generalized Pareto Distribution

doi: 10.6062/jcis.2016.07.02.0107

(Free PDF)

Authors

Henrique R. A. Freitas

Abstract

Time series analysis is important for the detection of extreme events that occur in processes of nature. This work considers the analysis of estimated river discharge data generated from a hydrological model by comparing the properly rescaled data of the time series to a function of the Generalized Pareto Distribution (GPD) with particular parameters estimated from a GPD algorithm. Results indicate that the patterns of the rescaled data are well represented by the GPD function, and also that positive shape parameter values correspond to the presence of extreme events.

Keywords

Time series analysis, river dynamics, generalized Pareto distribution, computational statistics

References

[1] Collischonn, W., Allasia, D., Silva, B. C., Tucci, C. E. M. (2007). The MGB-IPH model for large-scale rainfall-runoff modelling. Hydrological Sciences, v. 52, n. 5, p. 878 895.

[2] Fan, F. M., Pontes, P. R. M., Paiva, R. C. D. (2014). Avaliao de um mtodo de propagao de cheias em rios com aproximao inercial das equaes de SaintVenant. Revista Brasileira de Recursos Hdricos, v. 19, n. 4, p. 137147.

[3] IPH. (2015). Modelo de grandes bacias, Fortran 90 source code. Instituto de Pesquisas Hidrulicas. Available from ¡https://www.ufrgs.br/hge/mgb-iph¿.

[4] Paiva, R. C. D., Collischonn, W., Tucci, C. E. M. (2011). Large scale hydrologic and hydrodynamic modeling using limited data and a GIS based approach. Journal of Hydrology, v. 406, p. 170181.

[5] Ramos, F. M., Lima, I. B. T., Rosa, R. R., Mazzi, E. A., Carvalho, J. C., Rasera, M. F. F. L., Ometto, J. P. H. B., Assireu, A. T., Stech, J. L. (2006). Extreme event dynamics in methane ebullition fluxes from tropical reservoirs. Geophysical Research Letters, v. 33, p. 14.

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