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Title: The directional unit hydrograph model: Connecting streamflow response to storm dynamics

Abstract

Storm direction and storm velocity play a critical role in streamflow response; and despite evidence of ongoing changes in storm tracks around the world, there is no practical approach to efficiently assess and quantify the role of these storm properties in streamflow magnitude. We address this technical gap by introducing the Directional Unit Hydrograph (Directional-UH) model to systematically evaluate the storm hydrograph as a function of storm direction and storm velocity. The Directional-UH is based on the well-known theory of the unit hydrograph, which has served as a foundational block of multiple rainfall-runoff models for streamflow prediction. The Directional-UH relaxes the assumption of spatial uniform rainfall prescribed in the original concept of the unit hydrograph, by incorporating storm direction and storm velocity into the unit hydrograph function. The storm structure within the Directional-UH is represented by rectangular storms moving with constant velocity over a linear trajectory. We demonstrated, based on observations of extreme rainfall events, that rectangular storm representations can reproduce streamflow responses similar to those expected from actual radar rainfall observations. The Turkey River basin located in Iowa, USA, is used as a testbed to illustrate three practical applications of the Directional-UH model. First, the storm trajectory that producesmore » the highest peak flow response is identified. Second, the conditions that lead to the rainfall-runoff resonance are determined, which occurs when the storm motion and the flood wave are in sync to maximize the peak flow response. Third, streamflow responses from consecutive storm events are quantified, allowing exploration and identification of critical combinations of storm events that exacerbate the magnitude of flood events. Overall, the simple hydrological inference offered by the Directional-UH makes this model a unique and essential hydrological tool that provides new perspectives to expand our understanding of rainfall-runoff dynamics through the lenses of storm direction and storm velocity.« less

Authors:
ORCiD logo; ORCiD logo; ; ORCiD logo
Publication Date:
Research Org.:
Pacific Northwest National Laboratory (PNNL), Richland, WA (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
National Science Foundation (NSF); USDOE Office of Science (SC), Biological and Environmental Research (BER)
OSTI Identifier:
2204911
Alternate Identifier(s):
OSTI ID: 2205073; OSTI ID: 2251651
Report Number(s):
PNNL-SA-178480
Journal ID: ISSN 0022-1694; S0022169423013641; 130422; PII: S0022169423013641
Grant/Contract Number:  
AC05-76RL01830; AC05-00OR22725; EAR-1830172; OIA-2020814; OIA-2312326
Resource Type:
Published Article
Journal Name:
Journal of Hydrology
Additional Journal Information:
Journal Name: Journal of Hydrology Journal Volume: 627 Journal Issue: PA; Journal ID: ISSN 0022-1694
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
54 ENVIRONMENTAL SCIENCES; Directional unit hydrograph; Width function; Storm motion; Storm velocity; Peak flow; directional unit hydrograph; width function; storm motion; storm velocity; peak flow

Citation Formats

Perez, Gabriel, Gomez-Velez, Jesus D., Chen, Xingyuan, and Scheibe, Timothy. The directional unit hydrograph model: Connecting streamflow response to storm dynamics. Netherlands: N. p., 2023. Web. doi:10.1016/j.jhydrol.2023.130422.
Perez, Gabriel, Gomez-Velez, Jesus D., Chen, Xingyuan, & Scheibe, Timothy. The directional unit hydrograph model: Connecting streamflow response to storm dynamics. Netherlands. https://doi.org/10.1016/j.jhydrol.2023.130422
Perez, Gabriel, Gomez-Velez, Jesus D., Chen, Xingyuan, and Scheibe, Timothy. Fri . "The directional unit hydrograph model: Connecting streamflow response to storm dynamics". Netherlands. https://doi.org/10.1016/j.jhydrol.2023.130422.
@article{osti_2204911,
title = {The directional unit hydrograph model: Connecting streamflow response to storm dynamics},
author = {Perez, Gabriel and Gomez-Velez, Jesus D. and Chen, Xingyuan and Scheibe, Timothy},
abstractNote = {Storm direction and storm velocity play a critical role in streamflow response; and despite evidence of ongoing changes in storm tracks around the world, there is no practical approach to efficiently assess and quantify the role of these storm properties in streamflow magnitude. We address this technical gap by introducing the Directional Unit Hydrograph (Directional-UH) model to systematically evaluate the storm hydrograph as a function of storm direction and storm velocity. The Directional-UH is based on the well-known theory of the unit hydrograph, which has served as a foundational block of multiple rainfall-runoff models for streamflow prediction. The Directional-UH relaxes the assumption of spatial uniform rainfall prescribed in the original concept of the unit hydrograph, by incorporating storm direction and storm velocity into the unit hydrograph function. The storm structure within the Directional-UH is represented by rectangular storms moving with constant velocity over a linear trajectory. We demonstrated, based on observations of extreme rainfall events, that rectangular storm representations can reproduce streamflow responses similar to those expected from actual radar rainfall observations. The Turkey River basin located in Iowa, USA, is used as a testbed to illustrate three practical applications of the Directional-UH model. First, the storm trajectory that produces the highest peak flow response is identified. Second, the conditions that lead to the rainfall-runoff resonance are determined, which occurs when the storm motion and the flood wave are in sync to maximize the peak flow response. Third, streamflow responses from consecutive storm events are quantified, allowing exploration and identification of critical combinations of storm events that exacerbate the magnitude of flood events. Overall, the simple hydrological inference offered by the Directional-UH makes this model a unique and essential hydrological tool that provides new perspectives to expand our understanding of rainfall-runoff dynamics through the lenses of storm direction and storm velocity.},
doi = {10.1016/j.jhydrol.2023.130422},
journal = {Journal of Hydrology},
number = PA,
volume = 627,
place = {Netherlands},
year = {Fri Dec 01 00:00:00 EST 2023},
month = {Fri Dec 01 00:00:00 EST 2023}
}

Works referenced in this record:

Unit Hydrograph Derivation for Ungauged Watersheds by Stream-Order Laws
journal, January 1997


Fréchet and chi-square parametric expressions combined with Horton ratios to derive a synthetic unit hydrograph
journal, April 2009

  • Bhunya, P. K.; Singh, P. K.; Mishra, S. K.
  • Hydrological Sciences Journal, Vol. 54, Issue 2
  • DOI: 10.1623/hysj.54.2.274

Geomorphological Theory of the Hydrological Response
journal, June 1996


Critical Examination of Area Reduction Factors
journal, April 2014


Scale effect on geomorphologic and kinematic dispersion
journal, October 2003

  • Botter, Gianluca; Rinaldo, Andrea
  • Water Resources Research, Vol. 39, Issue 10
  • DOI: 10.1029/2003WR002154

Analyzing Effects of Crops on SMAP Satellite-Based Soil Moisture Using a Rainfall–Runoff Model in the U.S. Corn Belt
journal, January 2022

  • Jadidoleslam, Navid; Hornbuckle, Brian K.; Krajewski, Witold F.
  • IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, Vol. 15
  • DOI: 10.1109/JSTARS.2021.3131133

Synthetic Unit Hydrograph Methods: A Critical Review
journal, March 2011


A representation of an instantaneous unit hydrograph from geomorphology
journal, October 1980

  • Gupta, Vijay K.; Waymire, Ed; Wang, C. T.
  • Water Resources Research, Vol. 16, Issue 5
  • DOI: 10.1029/WR016i005p00855

Analytical modeling of the hydrologic response under moving rainstorms: Storm–catchment interaction and resonance
journal, June 2013


Laboratory experiments on the influence of storm movement on overland flow
journal, January 2003


Effect of the duration and direction of storm movement on planar flow with full and partial areal coverage
journal, January 2002

  • Singh, Vijay P.
  • Hydrological Processes, Vol. 16, Issue 17
  • DOI: 10.1002/hyp.1109

The geomorphological unit hydrograph from a historical-critical perspective: GEOMORPHOLOGICAL UNIT HYDROGRAPH
journal, December 2015

  • Rigon, Riccardo; Bancheri, Marialaura; Formetta, Giuseppe
  • Earth Surface Processes and Landforms, Vol. 41, Issue 1
  • DOI: 10.1002/esp.3855

“It’s Raining Bits”: Patterns in Directional Precipitation Persistence across the United States
journal, December 2020


Network configuration and hydrograph sensitivity to storm kinematics: NETWORK CONFIGURATION AND HYDROGRAPH SENSITIVITY
journal, April 2013

  • Seo, Yongwon; Schmidt, Arthur R.
  • Water Resources Research, Vol. 49, Issue 4
  • DOI: 10.1002/wrcr.20115

On geomorphological dispersion in natural catchments and the geomorphological unit hydrograph
journal, July 1994

  • Snell, John D.; Sivapalan, Murugesu
  • Water Resources Research, Vol. 30, Issue 7
  • DOI: 10.1029/94WR00537

A remote sensing-based tool for assessing rainfall-driven hazards
journal, April 2017


Synthetic Unit Hydrograph Development for Ungauged Basins Using Dimensional Analysis
journal, March 2016


An Approach to Determinate Stream Flow
journal, January 1935

  • Bernard, Merrill M.
  • Transactions of the American Society of Civil Engineers, Vol. 100, Issue 1
  • DOI: 10.1061/TACEAT.0004608

Tests of the random network model, and its application to basin hydrology
journal, July 1976


Fitting a Gamma Distribution Over a Synthetic Unit Hydrograph1
journal, February 1982


Effects of hillslope dynamics and network geometry on the scaling properties of the hydrologic response
journal, November 2011


Insights into storm direction effect on flood response
journal, September 2021


Effects of Spatially-Distributed Rainfall on Runoff for a Conceptual Catchment
journal, February 1991


TITAN: Thunderstorm Identification, Tracking, Analysis, and Nowcasting—A Radar-based Methodology
journal, December 1993


Simulating North American mesoscale convective systems with a convection-permitting climate model
journal, October 2017


The Influence of Spatial Variability of Width Functions on Regional Peak Flow Regressions
journal, October 2018

  • Perez, Gabriel; Mantilla, Ricardo; Krajewski, Witold F.
  • Water Resources Research, Vol. 54, Issue 10
  • DOI: 10.1029/2018WR023509

Effect of storm movement on flood peaks: Analysis framework based on characteristic timescales: EFFECT OF STORM MOVEMENT ON FLOOD PEAKS
journal, May 2012

  • Seo, Yongwon; Schmidt, Arthur R.; Sivapalan, Murugesu
  • Water Resources Research, Vol. 48, Issue 5
  • DOI: 10.1029/2011WR011761

Geomorphological dispersion
journal, April 1991

  • Rinaldo, Andrea; Marani, Alessandro; Rigon, Riccardo
  • Water Resources Research, Vol. 27, Issue 4
  • DOI: 10.1029/90WR02501

Flow time estimation with spatially variable hillslope velocity in ungauged basins
journal, October 2010


Field studies of the storm event hydrologic response in an urbanizing watershed: FIELD STUDIES OF URBAN HYDROLOGIC RESPONSE
journal, October 2005

  • Smith, James A.; Baeck, Mary Lynn; Meierdiercks, Katherine L.
  • Water Resources Research, Vol. 41, Issue 10
  • DOI: 10.1029/2004WR003712

River routing at the continental scale: use of globally-available data and an a priori method of parameter estimation
journal, March 1999

  • Naden, P.; Broadhurst, P.; Tauveron, N.
  • Hydrology and Earth System Sciences, Vol. 3, Issue 1
  • DOI: 10.5194/hess-3-109-1999

Object-Based Comparison of Data-Driven and Physics-Driven Satellite Estimates of Extreme Rainfall
journal, December 2020

  • Li, Zhe; Wright, Daniel B.; Zhang, Sara Q.
  • Journal of Hydrometeorology, Vol. 21, Issue 12
  • DOI: 10.1175/JHM-D-20-0041.1

Storm Track Shifts under Climate Change: What Can Be Learned from Large-Scale Dry Dynamics
journal, December 2013


Unit‐hydrograph lag and peak flow related to basin characteristics
journal, April 1952

  • Taylor, Arnold B.; Schwarz, Harry E.
  • Eos, Transactions American Geophysical Union, Vol. 33, Issue 2, p. 235-246
  • DOI: 10.1029/TR033i002p00235

Process-based flood frequency analysis in an agricultural watershed exhibiting nonstationary flood seasonality
journal, January 2019

  • Yu, Guo; Wright, Daniel B.; Zhu, Zhihua
  • Hydrology and Earth System Sciences, Vol. 23, Issue 5
  • DOI: 10.5194/hess-23-2225-2019

The Impact of Rainfall Space‐Time Structure in Flood Frequency Analysis
journal, November 2018

  • Zhu, Zhihua; Wright, Daniel B.; Yu, Guo
  • Water Resources Research, Vol. 54, Issue 11
  • DOI: 10.1029/2018WR023550

The geomorphologic structure of hydrologic response
journal, December 1979

  • Rodríguez-Iturbe, Ignacio; Valdés, Juan B.
  • Water Resources Research, Vol. 15, Issue 6
  • DOI: 10.1029/WR015i006p01409

The relation between mainstream length and area in drainage basins
journal, December 1967


A review of the synthetic unit hydrograph: from the empirical UH to advanced geomorphological methods
journal, February 2014


Enhanced poleward propagation of storms under climate change
journal, November 2017


Daily flow duration curve model for ungauged intermittent subbasins of gauged rivers
journal, January 2022


Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
journal, January 1998

  • Lagarias, Jeffrey C.; Reeds, James A.; Wright, Margaret H.
  • SIAM Journal on Optimization, Vol. 9, Issue 1
  • DOI: 10.1137/S1052623496303470

General and Analytic Unit Hydrograph and Its Applications
journal, February 2022


GEOMORPHIC PARAMETERS PREDICT HYDROGRAPH CHARACTERISTICS IN THE SOUTHWEST1
journal, February 1977


Extreme Flood Response: The June 2008 Flooding in Iowa
journal, December 2013

  • Smith, James A.; Baeck, Mary Lynn; Villarini, Gabriele
  • Journal of Hydrometeorology, Vol. 14, Issue 6
  • DOI: 10.1175/JHM-D-12-0191.1

Using Physically Based Synthetic Peak Flows to Assess Local and Regional Flood Frequency Analysis Methods
journal, November 2019

  • Perez, Gabriel; Mantilla, Ricardo; Krajewski, Witold F.
  • Water Resources Research, Vol. 55, Issue 11
  • DOI: 10.1029/2019WR024827

The role of rainfall spatial variability in estimating areal reduction factors
journal, January 2019


The Effect of Storm Direction on Flood Frequency Analysis
journal, May 2021

  • Perez, G.; Gomez‐Velez, J. D.; Mantilla, R.
  • Geophysical Research Letters, Vol. 48, Issue 9
  • DOI: 10.1029/2020GL091918

A parsimonious geomorphological unit hydrograph for rainfall–runoff modelling in small ungauged basins
journal, December 2011


Can One Gauge the Shape of a Basin?
journal, April 1995

  • Rinaldo, Andrea; Vogel, Gregor K.; Rigon, Riccardo
  • Water Resources Research, Vol. 31, Issue 4
  • DOI: 10.1029/94WR03290

Nonlinear Instantaneous Unit-Hydrograph Theory
journal, March 1964


Object-Based Verification of Precipitation Forecasts. Part II: Application to Convective Rain Systems
journal, July 2006

  • Davis, Christopher; Brown, Barbara; Bullock, Randy
  • Monthly Weather Review, Vol. 134, Issue 7
  • DOI: 10.1175/MWR3146.1

Hydrograph Sensitivity to Storm Kinematics
journal, March 1985


Gamma synthetic hydrographs
journal, May 1980


Synthetic unit‐graphs
journal, August 1938

  • Snyder, Franklin F.
  • Eos, Transactions American Geophysical Union, Vol. 19, Issue 1, p. 447-454
  • DOI: 10.1029/TR019i001p00447

Influence of rainfall spatial variability on rainfall–runoff modelling: Benefit of a simulation approach?
journal, December 2015


The Effects of a Moving Rainstorm on Direct Runoff Properties
journal, February 1984


A time-varying distributed unit hydrograph method considering soil moisture
journal, October 2022