Articles | Volume 21, issue 6
https://doi.org/10.5194/hess-21-3093-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/hess-21-3093-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
On the probability distribution of daily streamflow in the United States
Annalise G. Blum
Civil and Environmental Engineering, Tufts University, Medford, MA
02155, USA
U.S. Geological Survey, Reston, VA 20192, USA
U.S. Geological Survey, Reston, VA 20192, USA
Richard M. Vogel
Civil and Environmental Engineering, Tufts University, Medford, MA
02155, USA
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Cited
67 citations as recorded by crossref.
- Climate and Landscape Controls of Regional Patterns of Flow Duration Curves Across the Continental United States: Statistical Approach S. Ghotbi et al. 10.1029/2020WR028041
- Streamflow estimation at partially gaged sites using multiple-dependence conditions via vine copulas K. Ahn 10.5194/hess-25-4319-2021
- A graphical non-parametric hydrologic alteration test using flow duration curves M. Mowafy et al. 10.1080/02626667.2023.2248109
- Bayesian Inference in Extremes Using the Four-Parameter Kappa Distribution P. Seenoi et al. 10.3390/math8122180
- Improved estimators of correlation and R2 for skewed hydrologic data C. Barber et al. 10.1080/02626667.2019.1686639
- Inherent Relationship between Flow Duration Curves at Different Time Scales: A Perspective on Monthly Flow Data Utilization in Daily Flow Duration Curve Estimation L. Ye et al. 10.3390/w10081008
- A multiple hydrograph separation technique for identifying hydrological model structures and an interpretation of dominant process controls on flow duration curves C. Leong & Y. Yokoo 10.1002/hyp.14569
- Simulation of Stochastic Processes Exhibiting Any‐Range Dependence and Arbitrary Marginal Distributions I. Tsoukalas et al. 10.1029/2017WR022462
- Evaluation of approaches to estimate discharge indices based on mean sediment load for suspended sediment transport in South Indian catchments S. Maheshwari & S. Chavan 10.1080/15715124.2021.2000426
- Revisiting the Probability Distribution of Low Streamflow Series in the United States S. Bhatti et al. 10.1061/(ASCE)HE.1943-5584.0001844
- Extreme Precipitation in China: A Review on Statistical Methods and Applications X. Gu et al. 10.1016/j.advwatres.2022.104144
- Multi-model ensemble projections of European river floods and high flows at 1.5, 2, and 3 degrees global warming S. Thober et al. 10.1088/1748-9326/aa9e35
- Accounting for Temporal Variability of Streamflow in Estimates of Travel Time C. Konrad et al. 10.3389/frwa.2020.00029
- Water Temperature Duration Curves for Thermoelectric Power Plant Mixing Zone Analysis L. Logan & A. Stillwell 10.1061/(ASCE)WR.1943-5452.0000980
- Predicting Hydrological Droughts of Long-Narrow Type Drainage Basin Using Monte Carlo Technique T. Baykal et al. 10.1061/JHYEFF.HEENG-6144
- Assessing microbial risk through event-based pathogen loading and hydrodynamic modelling S. Tolouei et al. 10.1016/j.scitotenv.2019.07.373
- Technical note: Stochastic simulation of streamflow time series using phase randomization M. Brunner et al. 10.5194/hess-23-3175-2019
- Identification of a Function to Fit the Flow Duration Curve and Parameterization of a Semi-Arid Region in North China L. Ma et al. 10.3390/atmos14010116
- Investigating the tail behaviour and associated risk with daily discharges in South Indian Rivers N. Gupta & S. Chavan 10.1007/s00477-023-02453-w
- Joint Probability of Extreme Streamflow and Its Day of Occurrence C. Khedun et al. 10.1061/(ASCE)HE.1943-5584.0001813
- Copula Theory as a Generalized Framework for Flow‐Duration Curve Based Streamflow Estimates in Ungaged and Partially Gaged Catchments S. Worland et al. 10.1029/2019WR025138
- All in order: Distribution of serially correlated order statistics with applications to hydrological extremes F. Serinaldi et al. 10.1016/j.advwatres.2020.103686
- Estimating the scale parameter of the norming constants method in analysing nonstationary annual maximum floods W. Xu et al. 10.1002/hyp.14797
- Identification of the Most Suitable Probability Distribution Models for Maximum, Minimum, and Mean Streamflow P. Langat et al. 10.3390/w11040734
- How to explain and predict the shape parameter of the generalized extreme value distribution of streamflow extremes using a big dataset H. Tyralis et al. 10.1016/j.jhydrol.2019.04.070
- An unbiased estimator of coefficient of variation of streamflow L. Ye et al. 10.1016/j.jhydrol.2021.125954
- A modified approach to determine mean sediment load and related discharge indices for suspended sediment transport S. Maheshwari & S. Rohidas Chavan 10.1016/j.jhydrol.2022.128832
- Stochastic simulation of streamflow and spatial extremes: a continuous, wavelet-based approach M. Brunner & E. Gilleland 10.5194/hess-24-3967-2020
- Assessment of Variations in Runoff Due to Landcover Changes Using the SWAT Model in an Urban River in Dublin, Ireland A. Basu et al. 10.3390/su14010534
- Detecting Annual and Seasonal Hydrological Change Using Marginal Distributions of Daily Flows B. Blagojević et al. 10.3390/w15162919
- Stochastic Periodic Autoregressive to Anything (SPARTA): Modeling and Simulation of Cyclostationary Processes With Arbitrary Marginal Distributions I. Tsoukalas et al. 10.1002/2017WR021394
- The probability distribution of daily precipitation at the point and catchment scales in the United States L. Ye et al. 10.5194/hess-22-6519-2018
- The interactions between hydrological drought evolution and precipitation-streamflow relationship J. Wu et al. 10.1016/j.jhydrol.2021.126210
- Physical controls and regional pattern similarities of precipitation and flow duration curves using the three‐parameter gamma distribution Y. Zhou & Y. Zhang 10.1002/hyp.15082
- Evaluation of flood metrics across the Mississippi-Atchafalaya River Basin and their relation to flood damages K. Schilling et al. 10.1371/journal.pone.0307486
- Quantifying regional low flows under data scarce conditions T. Mengistu et al. 10.1016/j.heliyon.2024.e28728
- Expanding the applications of the standardized streamflow index through regionalization E. Anderson & K. Schilling 10.1111/1752-1688.13205
- A Vine Copula‐Based Polynomial Chaos Framework for Improving Multi‐Model Hydroclimatic Projections at a Multi‐Decadal Convection‐Permitting Scale B. Zhang et al. 10.1029/2022WR031954
- A step toward global-scale applicability and transferability of flow duration curve studies: A flow duration curve review (2000–2020) C. Leong & Y. Yokoo 10.1016/j.jhydrol.2021.126984
- Generalized logistic model for r largest order statistics, with hydrological application Y. Shin & J. Park 10.1007/s00477-023-02642-7
- Automatic gap-filling of daily streamflow time series in data-scarce regions using a machine learning algorithm P. Arriagada et al. 10.1016/j.jhydrol.2021.126454
- Bias correction of simulated historical daily streamflow at ungauged locations by using independently estimated flow duration curves W. Farmer et al. 10.5194/hess-22-5741-2018
- An analysis of characteristic discharges for the Adaim River (Iraq) in multiyear period M. Hussein & I. Hameed 10.1002/rra.3422
- Harnessing SMAP satellite soil moisture product to optimize soil properties to improve water resource management for agriculture A. Nanda et al. 10.1016/j.agwat.2024.108918
- The probability distribution of daily streamflow in perennial rivers of Angola M. Almeida et al. 10.1016/j.jhydrol.2021.126869
- Calibration of the US Geological Survey National Hydrologic Model in Ungauged Basins Using Statistical At-Site Streamflow Simulations W. Farmer et al. 10.1061/(ASCE)HE.1943-5584.0001854
- The tales that the distribution tails of non-Gaussian autocorrelated processes tell: efficient methods for the estimation of thek-length block-maxima distribution I. Tsoukalas 10.1080/02626667.2021.2014056
- Using R in hydrology: a review of recent developments and future directions L. Slater et al. 10.5194/hess-23-2939-2019
- Coupling higher-order probability weighted moments with norming constants method for non-stationary annual maximum flood frequency analysis F. Chen et al. 10.1016/j.jhydrol.2024.131832
- Sustainability of Water Withdrawals in the Tiber River Basin (Central Italy) S. Casadei et al. 10.3390/su10020485
- Reliability of Ensemble Climatological Forecasts Z. Huang et al. 10.1029/2023WR034942
- Toward geostatistical unbiased predictions of flow duration curves at ungauged basins W. Wolff & S. Duarte 10.1016/j.advwatres.2021.103915
- Isolating the AFFF Signature in Coastal Watersheds Using Oxidizable PFAS Precursors and Unexplained Organofluorine B. Ruyle et al. 10.1021/acs.est.0c07296
- The construction of the flow duration curve and the regionalization parameters analysis in the northwest of China J. Luan et al. 10.2166/wcc.2021.324
- Exploring the dependence between discharge indices and catchment descriptors for suspended sediment load in Indian Rivers S. Maheshwari & S. Chavan 10.1080/09715010.2022.2104624
- AI-driven morphoclimatic regional frequency modelling of sub-daily rainfall-extremes A. Magnini et al. 10.1016/j.jhydrol.2024.130808
- A New Approach to Calculate the Water Exploitation Index (WEI+) S. Casadei et al. 10.3390/w12113227
- Connecting flow duration curve and precipitation duration curve based on the relationship deduced from machine learning in the watersheds of northern China L. Ma et al. 10.1016/j.jhydrol.2024.131235
- Modeling climate extremes using the four-parameter kappa distribution for r-largest order statistics Y. Shin & J. Park 10.1016/j.wace.2022.100533
- Expectile-based hydrological modelling for uncertainty estimation: Life after mean H. Tyralis et al. 10.1016/j.jhydrol.2022.128986
- Prediction and Inference of Flow Duration Curves Using Multioutput Neural Networks S. Worland et al. 10.1029/2018WR024463
- Penalized likelihood approach for the four-parameter kappa distribution N. Papukdee et al. 10.1080/02664763.2021.1871592
- Hybrid modified continuous time Markov chain model for daily streamflow generation L. Shilpa & K. Srinivasan 10.1016/j.jhydrol.2022.128206
- Exploring denoising diffusion probabilistic model for daily streamflow gap filling in Central Asia typical watersheds G. He et al. 10.1016/j.ejrh.2024.101701
- Improved Estimators of Model Performance Efficiency for Skewed Hydrologic Data J. Lamontagne et al. 10.1029/2020WR027101
- A Cautionary Note on the Reproduction of Dependencies through Linear Stochastic Models with Non-Gaussian White Noise I. Tsoukalas et al. 10.3390/w10060771
- Reconstruction of Missing Daily Streamflow Data using the MissForest Algorithm in Southern Baluchestan Basin, Iran J. Aryanmanesh et al. 10.61186/jwmr.15.2.49
67 citations as recorded by crossref.
- Climate and Landscape Controls of Regional Patterns of Flow Duration Curves Across the Continental United States: Statistical Approach S. Ghotbi et al. 10.1029/2020WR028041
- Streamflow estimation at partially gaged sites using multiple-dependence conditions via vine copulas K. Ahn 10.5194/hess-25-4319-2021
- A graphical non-parametric hydrologic alteration test using flow duration curves M. Mowafy et al. 10.1080/02626667.2023.2248109
- Bayesian Inference in Extremes Using the Four-Parameter Kappa Distribution P. Seenoi et al. 10.3390/math8122180
- Improved estimators of correlation and R2 for skewed hydrologic data C. Barber et al. 10.1080/02626667.2019.1686639
- Inherent Relationship between Flow Duration Curves at Different Time Scales: A Perspective on Monthly Flow Data Utilization in Daily Flow Duration Curve Estimation L. Ye et al. 10.3390/w10081008
- A multiple hydrograph separation technique for identifying hydrological model structures and an interpretation of dominant process controls on flow duration curves C. Leong & Y. Yokoo 10.1002/hyp.14569
- Simulation of Stochastic Processes Exhibiting Any‐Range Dependence and Arbitrary Marginal Distributions I. Tsoukalas et al. 10.1029/2017WR022462
- Evaluation of approaches to estimate discharge indices based on mean sediment load for suspended sediment transport in South Indian catchments S. Maheshwari & S. Chavan 10.1080/15715124.2021.2000426
- Revisiting the Probability Distribution of Low Streamflow Series in the United States S. Bhatti et al. 10.1061/(ASCE)HE.1943-5584.0001844
- Extreme Precipitation in China: A Review on Statistical Methods and Applications X. Gu et al. 10.1016/j.advwatres.2022.104144
- Multi-model ensemble projections of European river floods and high flows at 1.5, 2, and 3 degrees global warming S. Thober et al. 10.1088/1748-9326/aa9e35
- Accounting for Temporal Variability of Streamflow in Estimates of Travel Time C. Konrad et al. 10.3389/frwa.2020.00029
- Water Temperature Duration Curves for Thermoelectric Power Plant Mixing Zone Analysis L. Logan & A. Stillwell 10.1061/(ASCE)WR.1943-5452.0000980
- Predicting Hydrological Droughts of Long-Narrow Type Drainage Basin Using Monte Carlo Technique T. Baykal et al. 10.1061/JHYEFF.HEENG-6144
- Assessing microbial risk through event-based pathogen loading and hydrodynamic modelling S. Tolouei et al. 10.1016/j.scitotenv.2019.07.373
- Technical note: Stochastic simulation of streamflow time series using phase randomization M. Brunner et al. 10.5194/hess-23-3175-2019
- Identification of a Function to Fit the Flow Duration Curve and Parameterization of a Semi-Arid Region in North China L. Ma et al. 10.3390/atmos14010116
- Investigating the tail behaviour and associated risk with daily discharges in South Indian Rivers N. Gupta & S. Chavan 10.1007/s00477-023-02453-w
- Joint Probability of Extreme Streamflow and Its Day of Occurrence C. Khedun et al. 10.1061/(ASCE)HE.1943-5584.0001813
- Copula Theory as a Generalized Framework for Flow‐Duration Curve Based Streamflow Estimates in Ungaged and Partially Gaged Catchments S. Worland et al. 10.1029/2019WR025138
- All in order: Distribution of serially correlated order statistics with applications to hydrological extremes F. Serinaldi et al. 10.1016/j.advwatres.2020.103686
- Estimating the scale parameter of the norming constants method in analysing nonstationary annual maximum floods W. Xu et al. 10.1002/hyp.14797
- Identification of the Most Suitable Probability Distribution Models for Maximum, Minimum, and Mean Streamflow P. Langat et al. 10.3390/w11040734
- How to explain and predict the shape parameter of the generalized extreme value distribution of streamflow extremes using a big dataset H. Tyralis et al. 10.1016/j.jhydrol.2019.04.070
- An unbiased estimator of coefficient of variation of streamflow L. Ye et al. 10.1016/j.jhydrol.2021.125954
- A modified approach to determine mean sediment load and related discharge indices for suspended sediment transport S. Maheshwari & S. Rohidas Chavan 10.1016/j.jhydrol.2022.128832
- Stochastic simulation of streamflow and spatial extremes: a continuous, wavelet-based approach M. Brunner & E. Gilleland 10.5194/hess-24-3967-2020
- Assessment of Variations in Runoff Due to Landcover Changes Using the SWAT Model in an Urban River in Dublin, Ireland A. Basu et al. 10.3390/su14010534
- Detecting Annual and Seasonal Hydrological Change Using Marginal Distributions of Daily Flows B. Blagojević et al. 10.3390/w15162919
- Stochastic Periodic Autoregressive to Anything (SPARTA): Modeling and Simulation of Cyclostationary Processes With Arbitrary Marginal Distributions I. Tsoukalas et al. 10.1002/2017WR021394
- The probability distribution of daily precipitation at the point and catchment scales in the United States L. Ye et al. 10.5194/hess-22-6519-2018
- The interactions between hydrological drought evolution and precipitation-streamflow relationship J. Wu et al. 10.1016/j.jhydrol.2021.126210
- Physical controls and regional pattern similarities of precipitation and flow duration curves using the three‐parameter gamma distribution Y. Zhou & Y. Zhang 10.1002/hyp.15082
- Evaluation of flood metrics across the Mississippi-Atchafalaya River Basin and their relation to flood damages K. Schilling et al. 10.1371/journal.pone.0307486
- Quantifying regional low flows under data scarce conditions T. Mengistu et al. 10.1016/j.heliyon.2024.e28728
- Expanding the applications of the standardized streamflow index through regionalization E. Anderson & K. Schilling 10.1111/1752-1688.13205
- A Vine Copula‐Based Polynomial Chaos Framework for Improving Multi‐Model Hydroclimatic Projections at a Multi‐Decadal Convection‐Permitting Scale B. Zhang et al. 10.1029/2022WR031954
- A step toward global-scale applicability and transferability of flow duration curve studies: A flow duration curve review (2000–2020) C. Leong & Y. Yokoo 10.1016/j.jhydrol.2021.126984
- Generalized logistic model for r largest order statistics, with hydrological application Y. Shin & J. Park 10.1007/s00477-023-02642-7
- Automatic gap-filling of daily streamflow time series in data-scarce regions using a machine learning algorithm P. Arriagada et al. 10.1016/j.jhydrol.2021.126454
- Bias correction of simulated historical daily streamflow at ungauged locations by using independently estimated flow duration curves W. Farmer et al. 10.5194/hess-22-5741-2018
- An analysis of characteristic discharges for the Adaim River (Iraq) in multiyear period M. Hussein & I. Hameed 10.1002/rra.3422
- Harnessing SMAP satellite soil moisture product to optimize soil properties to improve water resource management for agriculture A. Nanda et al. 10.1016/j.agwat.2024.108918
- The probability distribution of daily streamflow in perennial rivers of Angola M. Almeida et al. 10.1016/j.jhydrol.2021.126869
- Calibration of the US Geological Survey National Hydrologic Model in Ungauged Basins Using Statistical At-Site Streamflow Simulations W. Farmer et al. 10.1061/(ASCE)HE.1943-5584.0001854
- The tales that the distribution tails of non-Gaussian autocorrelated processes tell: efficient methods for the estimation of thek-length block-maxima distribution I. Tsoukalas 10.1080/02626667.2021.2014056
- Using R in hydrology: a review of recent developments and future directions L. Slater et al. 10.5194/hess-23-2939-2019
- Coupling higher-order probability weighted moments with norming constants method for non-stationary annual maximum flood frequency analysis F. Chen et al. 10.1016/j.jhydrol.2024.131832
- Sustainability of Water Withdrawals in the Tiber River Basin (Central Italy) S. Casadei et al. 10.3390/su10020485
- Reliability of Ensemble Climatological Forecasts Z. Huang et al. 10.1029/2023WR034942
- Toward geostatistical unbiased predictions of flow duration curves at ungauged basins W. Wolff & S. Duarte 10.1016/j.advwatres.2021.103915
- Isolating the AFFF Signature in Coastal Watersheds Using Oxidizable PFAS Precursors and Unexplained Organofluorine B. Ruyle et al. 10.1021/acs.est.0c07296
- The construction of the flow duration curve and the regionalization parameters analysis in the northwest of China J. Luan et al. 10.2166/wcc.2021.324
- Exploring the dependence between discharge indices and catchment descriptors for suspended sediment load in Indian Rivers S. Maheshwari & S. Chavan 10.1080/09715010.2022.2104624
- AI-driven morphoclimatic regional frequency modelling of sub-daily rainfall-extremes A. Magnini et al. 10.1016/j.jhydrol.2024.130808
- A New Approach to Calculate the Water Exploitation Index (WEI+) S. Casadei et al. 10.3390/w12113227
- Connecting flow duration curve and precipitation duration curve based on the relationship deduced from machine learning in the watersheds of northern China L. Ma et al. 10.1016/j.jhydrol.2024.131235
- Modeling climate extremes using the four-parameter kappa distribution for r-largest order statistics Y. Shin & J. Park 10.1016/j.wace.2022.100533
- Expectile-based hydrological modelling for uncertainty estimation: Life after mean H. Tyralis et al. 10.1016/j.jhydrol.2022.128986
- Prediction and Inference of Flow Duration Curves Using Multioutput Neural Networks S. Worland et al. 10.1029/2018WR024463
- Penalized likelihood approach for the four-parameter kappa distribution N. Papukdee et al. 10.1080/02664763.2021.1871592
- Hybrid modified continuous time Markov chain model for daily streamflow generation L. Shilpa & K. Srinivasan 10.1016/j.jhydrol.2022.128206
- Exploring denoising diffusion probabilistic model for daily streamflow gap filling in Central Asia typical watersheds G. He et al. 10.1016/j.ejrh.2024.101701
- Improved Estimators of Model Performance Efficiency for Skewed Hydrologic Data J. Lamontagne et al. 10.1029/2020WR027101
- A Cautionary Note on the Reproduction of Dependencies through Linear Stochastic Models with Non-Gaussian White Noise I. Tsoukalas et al. 10.3390/w10060771
- Reconstruction of Missing Daily Streamflow Data using the MissForest Algorithm in Southern Baluchestan Basin, Iran J. Aryanmanesh et al. 10.61186/jwmr.15.2.49
Latest update: 14 Dec 2024
Short summary
Flow duration curves are ubiquitous in surface water hydrology for applications including water allocation and protection of ecosystem health. We identify three probability distributions that can provide a reasonable fit to daily streamflows across much of United States. These results help us understand of the behavior of daily streamflows and enhance our ability to predict streamflows at ungaged river locations.
Flow duration curves are ubiquitous in surface water hydrology for applications including water...