Advancing low-flow quantile estimation: The role of areal scale factor (ASF) and annual flow–duration curves

Abstract

Estimating the streamflow corresponding to a particular probability is of great importance in many hydrological studies, such as determining hydroelectric water potential, assessing water quality, and investigating sedimentation and drought. This paper aims to effectively estimate low-flow quantiles since hydrologic droughts motivate the study. The study illustrates a methodology, where droughts are characterized by the lower part of the flow–duration curve (FDC), and offers a perspective estimating low-flow quantiles related to the basin characteristics. Low-flow quantiles are derived both from traditional FDCs curves and median annual FDCs (AFDCs). As an innovation, the concept of areal scale factor, which represents a scaling ratio between the basin area and flow quantiles, was introduced. Unlike many other parametric approaches, this study models the streamflow quantiles depending on the basin characteristics instead of the parameters in the analytical equation of FDCs. The methodology was evaluated for the Western and Southwestern Anatolia regions in Turkey. The outcomes were compared for two types of FDCs in two regions. The approach gave similar results for both study regions. AFDCs provided a distinct advantage over traditional FDCs, especially for low-flow quantiles, due to the superiority of AFDCs in estimating streamflow quantiles of intermittent streams. HIGHLIGHTS This research study offers a practical solution in terms of low-flow estimation.; It uses median annual flow–duration curves (AFDCs) instead of traditional FDCs, which were frequently used in the literature.; Instead of FDC used in many studies, it models the streamflow quantiles.; It proposes the areal scale factor, which describes the ratio between flow quantiles and basin area, as an innovation.;

Keywords

• annual flow–duration curve
• areal scale factor
• low-flow estimation