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Title: Quantifying Streamflow Properties Using a Calculus-Based Differential Approach
  • Richard Koehler
Richard Koehler
Visual Data Analytics, LLC

Corresponding Author:[email protected]

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Abstract

This research quantifies streamflow temporal configuration and demonstrates the advantages of 7 examining the hydrologic record on a day-today basis, heretofore unavailable with statistical-based index 8 parameters. The streamflow chronological structure represents a previously untapped wealth of information 9 that would benefit ecohydrology allowing alternate lines of investigation, re-evaluating past research in a 10 new light, and expanding analysis options for ecohydrologists. Innovative approaches are introduced to 11 quantify this important but overlooked hydrologic property. To accomplish this, a non-index calculus-based 12 differential approach has been developed using the lag(1) temporal autocorrelation signature of streamflow. 13 The techniques for quantifying discharge (Q), day-today discharge change (dQ/dt), rate of day-today dis-14 charge change (d 2 Q/dt 2), and sequential discharge summations, are explained and presented using updated 15 data visualization methods. A dam release river impact case study for the Colorado River at Lees Ferry, 16 Arizona, demonstrates this novel way of analyzing and comparing discharge datasets. A set of highly cus-17 tomizable tools for this new approach can be used as a stand-alone analysis or to complement other existing 18 techniques. The result is a better understanding of the hydrologic regime, permitting more focused research 19 and more effective management planning. 20