The Music of Rivers: The Mathematics of Waves Reveals Global Structure and Drivers of Streamflow Regime

Abstract River flows change on timescales ranging from minutes to millennia. These vibrations in flow are tuned by diverse factors globally, for example, by dams suppressing multi‐day variability or vegetation attenuating flood peaks in some ecosystems. The relative importance of the physical, biolo...

Full description

Saved in:
Bibliographic Details
Main Authors: Brian C. Brown, Aimee H. Fullerton, Darin Kopp, Flavia Tromboni, Arial J. Shogren, J. Angus Webb, Claire Ruffing, Matthew Heaton, Lenka Kuglerová, Daniel C. Allen, Lillian McGill, Jay P. Zarnetske, Matt R. Whiles, Jeremy B. Jones Jr., Benjamin W. Abbott
Format: Article
Language:English
Published: Wiley 2023-07-01
Series:Water Resources Research
Subjects:
Online Access:https://doi.org/10.1029/2023WR034484
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849706686122557440
author Brian C. Brown
Aimee H. Fullerton
Darin Kopp
Flavia Tromboni
Arial J. Shogren
J. Angus Webb
Claire Ruffing
Matthew Heaton
Lenka Kuglerová
Daniel C. Allen
Lillian McGill
Jay P. Zarnetske
Matt R. Whiles
Jeremy B. Jones Jr.
Benjamin W. Abbott
author_facet Brian C. Brown
Aimee H. Fullerton
Darin Kopp
Flavia Tromboni
Arial J. Shogren
J. Angus Webb
Claire Ruffing
Matthew Heaton
Lenka Kuglerová
Daniel C. Allen
Lillian McGill
Jay P. Zarnetske
Matt R. Whiles
Jeremy B. Jones Jr.
Benjamin W. Abbott
author_sort Brian C. Brown
collection DOAJ
description Abstract River flows change on timescales ranging from minutes to millennia. These vibrations in flow are tuned by diverse factors globally, for example, by dams suppressing multi‐day variability or vegetation attenuating flood peaks in some ecosystems. The relative importance of the physical, biological, and human factors influencing flow is an active area of research, as is the related question of finding a common language for describing overall flow regime. Here, we addressed both topics using a daily river discharge data set for over 3,000 stations across the globe from 1988 to 2016. We first studied similarities between common flow regime quantification methods, including traditional flow metrics, wavelets, and Fourier analysis. Across all these methods, the flow data showed low‐dimensional structure (i.e., simple and consistent patterns), suggesting that fundamental mechanisms are constraining flow regime. One such pattern was that day‐to‐day variability was negatively correlated with year‐to‐year variability. Additionally, the low‐dimensional structure in river flow data correlated closely with only a small number of catchment characteristics, including catchment area, precipitation, and temperature—but notably not biome, dam surface area, or number of dams. We discuss these findings in a framework intended to be accessible to the many communities engaged in river research and management, while stressing the importance of letting structure in data guide both mechanistic inference and interdisciplinary discussion.
format Article
id doaj-art-adda1d0272db438fb463a00cfd2530d1
institution DOAJ
issn 0043-1397
1944-7973
language English
publishDate 2023-07-01
publisher Wiley
record_format Article
series Water Resources Research
spelling doaj-art-adda1d0272db438fb463a00cfd2530d12025-08-20T03:16:07ZengWileyWater Resources Research0043-13971944-79732023-07-01597n/an/a10.1029/2023WR034484The Music of Rivers: The Mathematics of Waves Reveals Global Structure and Drivers of Streamflow RegimeBrian C. Brown0Aimee H. Fullerton1Darin Kopp2Flavia Tromboni3Arial J. Shogren4J. Angus Webb5Claire Ruffing6Matthew Heaton7Lenka Kuglerová8Daniel C. Allen9Lillian McGill10Jay P. Zarnetske11Matt R. Whiles12Jeremy B. Jones Jr.13Benjamin W. Abbott14Department of Plant and Wildlife Sciences Brigham Young University Provo UT USAFish Ecology Division Northwest Fisheries Science Center National Marine Fisheries Service National Oceanic and Atmospheric Administration Seattle WA USAOak Ridge Institute for Science and Education (ORISE) Corvallis OR USARheinland‐PfälzischeTechnische Universität Kaiserslautern Landau Landau GermanyEarth and Environmental Sciences Department Michigan State University East Lansing MI USAWater, Environment and Agriculture Program Department of Infrastructure Engineering The University of Melbourne Parkville VIC AustraliaThe Nature Conservancy in Oregon Portland OR USADepartment of Statistics Brigham Young University Provo UT USADepartment of Forest Ecology and Management Swedish University of Agricultural Sciences Umeå SwedenDepartment of Ecosystem Science and Management Penn State University Park PA USACenter for Quantitative Science University of Washington Seattle WA USADepartment of Earth and Environmental Sciences Michigan State University East Lansing MI USASoil and Water Sciences Department University of Florida Gainesville FL USAInstitute for Arctic Biology University of Alaska Fairbanks Fairbanks AK USADepartment of Plant and Wildlife Sciences Brigham Young University Provo UT USAAbstract River flows change on timescales ranging from minutes to millennia. These vibrations in flow are tuned by diverse factors globally, for example, by dams suppressing multi‐day variability or vegetation attenuating flood peaks in some ecosystems. The relative importance of the physical, biological, and human factors influencing flow is an active area of research, as is the related question of finding a common language for describing overall flow regime. Here, we addressed both topics using a daily river discharge data set for over 3,000 stations across the globe from 1988 to 2016. We first studied similarities between common flow regime quantification methods, including traditional flow metrics, wavelets, and Fourier analysis. Across all these methods, the flow data showed low‐dimensional structure (i.e., simple and consistent patterns), suggesting that fundamental mechanisms are constraining flow regime. One such pattern was that day‐to‐day variability was negatively correlated with year‐to‐year variability. Additionally, the low‐dimensional structure in river flow data correlated closely with only a small number of catchment characteristics, including catchment area, precipitation, and temperature—but notably not biome, dam surface area, or number of dams. We discuss these findings in a framework intended to be accessible to the many communities engaged in river research and management, while stressing the importance of letting structure in data guide both mechanistic inference and interdisciplinary discussion.https://doi.org/10.1029/2023WR034484ecohydrologystreamflow regimewaveletmachine learningtimeseries
spellingShingle Brian C. Brown
Aimee H. Fullerton
Darin Kopp
Flavia Tromboni
Arial J. Shogren
J. Angus Webb
Claire Ruffing
Matthew Heaton
Lenka Kuglerová
Daniel C. Allen
Lillian McGill
Jay P. Zarnetske
Matt R. Whiles
Jeremy B. Jones Jr.
Benjamin W. Abbott
The Music of Rivers: The Mathematics of Waves Reveals Global Structure and Drivers of Streamflow Regime
Water Resources Research
ecohydrology
streamflow regime
wavelet
machine learning
timeseries
title The Music of Rivers: The Mathematics of Waves Reveals Global Structure and Drivers of Streamflow Regime
title_full The Music of Rivers: The Mathematics of Waves Reveals Global Structure and Drivers of Streamflow Regime
title_fullStr The Music of Rivers: The Mathematics of Waves Reveals Global Structure and Drivers of Streamflow Regime
title_full_unstemmed The Music of Rivers: The Mathematics of Waves Reveals Global Structure and Drivers of Streamflow Regime
title_short The Music of Rivers: The Mathematics of Waves Reveals Global Structure and Drivers of Streamflow Regime
title_sort music of rivers the mathematics of waves reveals global structure and drivers of streamflow regime
topic ecohydrology
streamflow regime
wavelet
machine learning
timeseries
url https://doi.org/10.1029/2023WR034484
work_keys_str_mv AT briancbrown themusicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT aimeehfullerton themusicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT darinkopp themusicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT flaviatromboni themusicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT arialjshogren themusicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT janguswebb themusicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT claireruffing themusicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT matthewheaton themusicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT lenkakuglerova themusicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT danielcallen themusicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT lillianmcgill themusicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT jaypzarnetske themusicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT mattrwhiles themusicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT jeremybjonesjr themusicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT benjaminwabbott themusicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT briancbrown musicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT aimeehfullerton musicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT darinkopp musicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT flaviatromboni musicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT arialjshogren musicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT janguswebb musicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT claireruffing musicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT matthewheaton musicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT lenkakuglerova musicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT danielcallen musicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT lillianmcgill musicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT jaypzarnetske musicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT mattrwhiles musicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT jeremybjonesjr musicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime
AT benjaminwabbott musicofriversthemathematicsofwavesrevealsglobalstructureanddriversofstreamflowregime