Quantification of Discharge Hysteresis Produced in Amazon River Basin: Fid-Bau Portal

Quantification of Discharge Hysteresis Produced in Amazon River Basin

Sharma, Durga / Biswal, Basudev

Hysteresis in hydrology has been observed in many areas like for instance, storage discharge relationship, soil–moisture relationship and sediment discharge relationship. It is extremely important to quantify these hysterical patterns properly and effectively. Many indices have already been used by researcher to quantify hysterical pattern, but most of them lack proper range to quantify the pattern. Here in this paper, we have developed a hysterical index which ranges from 0 to 1. The hysterical index so determined is based on analysing two sine curves, if one is denoted by $sin (x)$ \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{sin}}\left( x \right)$$\end{document}, the other is considered as $sin (x + t) .$ \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sin \left( {x + t} \right).$$\end{document} This analysis has been done for basin having area ranging from few 100 km² to 6.65 × km²_. The basin having more area shows hysterical pattern with hysterical index varying from 0.1 to 0.89. The highest hysterical index was found for Obidos River basin in Amazon River. Catchments with largest area in Mississippi River basin have hysterical pattern for less lag time. The hysterical index for Mississippi River basin was found around 0.23. In some of the basins, no hysteresis were formed, so for them hysterical index is not determined as it will be close to zero.