The most reliable method to measure streamflows in natural streams is the direct acquisition of discharge measurements. These measurements requires deployment of instruments and personal in the field and, in some cases, traversing the stream with measurement equipment several times. The most efficient contemporary instrument for direct discharge measurements is the Acoustic Doppler Current Profilers (ADCPs) which measure flows relatively fast and accurate (±5.4 -7.4 % in steady flows according to Boldt & Oberg, 2015). During high flows, however, direct measurements are challenging because the adversity of the flow environment for the operators and equipment (WMO, 2010). While there are intensive efforts to conduct unassisted direct discharge measurement, currently only indirect approaches are used for continuous monitoring at station located in streams or rivers (Dottori et al., 2009). Specifically, real-time monitoring is based on the conventional stage-discharge method (labeled herein as HQRC) and, increasingly, on the index-velocity method (labelled herein as IVRC).Conventional monitoring methods rely on relationships (a.k.a., ratings) that link direct streamflow measurements with real-time, continuous measurements of independent variables that are easier captured with instruments deployed permanently at the site (e.g., stage or velocity). The simultaneous measurements for rating development are acquired episodically with the goal to cover the whole flow range passing through the monitoring site. The such-obtained ratings are essentially one-to-one relationships that are used to monitor both steady and unsteady flows despite that for the latter flow conditions the ratings do not properly account for the hysteretic behavior of the flow variables . Hysteresis, a key concept for the present study, is a generic term indicating that the status of a system at any given point is dependent on its history to reach that state (i.e., the state depends on the process memory). Such a process occurs when the gradual propagation of a natural flood wave enters the stream due to runoff produced in the station's drainage area by rainfalls.It is important to mention upfront that unsteady flows are ephemeral and, in many situations, their effects on the conventional methods are small, therefore no action is required. This is certainly the case for flows propagating as kinematic waves on larger streambed slopes. However, for intermediate and lowland streams exposed to fast-varying flows the hysteresis becomes prominent. While hysteresis is a process known to monitoring agencies, it has only received attention in flood-prone areas of large rivers (e.g., Mississippi) with the purpose to provide more accurate data for the streamflow forecasting models (Holmes, 2016) and more recently in areas subjected to highly unsteady flows (Morlock et al., 2002). In many other medium and small inland rivers (i.e., non-tidal) hysteresis is not accounted for, as there is a perception in the hydrometry community that the hysteresis effect is small a...