Nonstationarity of low flows and their timing in the eastern United States

Abstract. The analysis of the spatial and temporal patterns of low flows as well as their generation mechanisms over large geographic regions can provide valuable insights and understanding for climate change impacts, regional frequency analysis, risk assessment of extreme events, and decision-making regarding allowable withdrawals. The goal of this paper is to examine nonstationarity in low flow generation across the eastern US and explore the potential anthropogenic influences or climate drivers. We use nonparametric tests to identify abrupt and gradual changes in time series of low flows and their timing for 508 USGS streamflow gauging sites in the eastern US with more than 50 years of daily data, to systematically distinguish the effects of human intervention from those of climate variability. A time series decomposition algorithm was applied to 1-day, 7-day, 30-day, and 90-day annual low flow time series that combines the Box–Ljung test for detection of autocorrelation, the Pettitt test for abrupt step changes and the Mann–Kendall test for monotonic trends. Examination of the USGS notes for each site showed that many of the sites with step changes and around half of the sites with an increasing trend have been documented as having some kind of regulation. Sites with decreasing or no trend are less likely to have documented influences on flows. Overall, a general pattern of increasing low flows in the northeast and decreasing low flows in the southeast is evident over a common time period (1951–2005), even when discarding sites with significant autocorrelation, documented regulation or other human impacts. The north–south pattern of trends is consistent with changes in antecedent precipitation. The main exception is along the mid-Atlantic coastal aquifer system from eastern Virginia northwards, where low flows have decreased despite increasing precipitation, and suggests that declining groundwater levels due to pumping may have contributed to decreased low flows. For most sites, the majority of low flows occur in one season in the late summer to fall, as driven by the lower precipitation and higher evaporative demand in this season, but this is complicated in many regions because of the presence of a secondary low flow season in the winter for sites in the extreme northeast and in the spring for sites in Florida. Trends in low flow timing are generally undetectable, although abrupt step changes appear to be associated with regulation.

[1]  R. Stouffer,et al.  Stationarity Is Dead: Whither Water Management? , 2008, Science.

[2]  C. D. Kemp,et al.  The Advanced Theory of Statistics, Vol. 3. Design and Analysis and Time- Series. , 1984 .

[3]  Demetris Koutsoyiannis “Hurst-Kolomogorov Dynamics and Uncertainty” , 2010 .

[4]  E. Wood,et al.  The Influence of Atlantic Tropical Cyclones on Drought over the Eastern United States (1980–2007) , 2013 .

[5]  A. A. Pucci,et al.  Simulated effects of development on regional ground-water/surface-water interactions in the northern Coastal Plain of New Jersey , 1995 .

[6]  B. E. Thomas Trends in Streamflow of the San Pedro River, Southeastern Arizona , 2006 .

[7]  Francesco Serinaldi,et al.  Stationarity is undead: Uncertainty dominates the distribution of extremes , 2015 .

[8]  D. Cox,et al.  SOME QUICK SIGN TESTS FOR TREND IN LOCATION AND DISPERSION , 1955 .

[9]  G. Kondolf,et al.  Hydrologic impacts of small‐scale instream diversions for frost and heat protection in the California wine country , 2009 .

[10]  Leonard F. Konikow,et al.  Groundwater Depletion in the United States (1900?2008) , 2014 .

[11]  G. Box,et al.  On a measure of lack of fit in time series models , 1978 .

[12]  G. McCabe,et al.  Joint Variability of Global Runoff and Global Sea Surface Temperatures , 2008 .

[13]  Richard M. Vogel,et al.  Trends in floods and low flows in the United States: impact of spatial correlation , 2000 .

[14]  Conor Murphy,et al.  Attribution of detected changes in streamflow using multiple working hypotheses , 2013 .

[15]  S. A. Leake,et al.  Streamflow depletion by wells--Understanding and managing the effects of groundwater pumping on streamflow , 2012 .

[16]  Sheng Yue,et al.  Applicability of prewhitening to eliminate the influence of serial correlation on the Mann‐Kendall test , 2002 .

[17]  Thomas R. Karl,et al.  Secular Trends of Precipitation Amount, Frequency, and Intensity in the United States , 1998 .

[18]  M. Kendall,et al.  Rank Correlation Methods , 1949 .

[19]  Catherine Leigh,et al.  Mechanistic effects of low-flow hydrology on riverine ecosystems: ecological principles and consequences of alteration , 2012, Freshwater Science.

[20]  B. Braswell,et al.  Trends in wintertime climate in the northeastern United States: 1965–2005 , 2008 .

[21]  C. C. Daniel,et al.  Preliminary hydrogeologic assessment and study plan for a regional ground-water resource investigation of the Blue Ridge and Piedmont provinces of North Carolina , 2002 .

[22]  Harry F. Lins,et al.  Streamflow trends in the United States , 1999 .

[23]  A. Pettitt A Non‐Parametric Approach to the Change‐Point Problem , 1979 .

[24]  G. Hodgkins,et al.  Historical summer base flow and stormflow trends for New England rivers , 2011 .

[25]  Does Groundwater Abstraction Cause Degradation of Rivers and Wetlands? , 2000 .

[26]  John S. Clarke,et al.  Simulation of ground-water flow in coastal Georgia and adjacent parts of South Carolina and Florida-predevelopment, 1980, and 2000 , 2005 .

[27]  D. Lettenmaier,et al.  Trends in 20 th century drought over the continental United States , 2006 .

[28]  L. Tallaksen,et al.  Hydrological drought : processes and estimation methods for streamflow and groundwater , 2004 .

[29]  K. Mo,et al.  Continental-scale water and energy flux analysis and validation for the North American Land Data Assimilation System project phase 2 (NLDAS-2): 1. Intercomparison and application of model products , 2012 .

[30]  J.-Y. Parlange,et al.  Increasing Evapotranspiration from the Conterminous United States , 2004 .

[31]  S. Hamilton,et al.  Flow variability in dryland rivers: boom, bust and the bits in between , 2006 .

[32]  Ge Sun,et al.  Sectoral contributions to surface water stress in the coterminous United States , 2013 .

[33]  R. Vogel,et al.  Probability Distribution of Low Streamflow Series in the United States , 2002 .

[34]  K. Walker,et al.  Environmental effects of flow regulation on the lower river Murray, Australia , 1993 .

[35]  Bruno Merz,et al.  HESS Opinions "More efforts and scientific rigour are needed to attribute trends in flood time series" , 2012 .

[36]  Sanjiv Kumar,et al.  Streamflow trends in Indiana: Effects of long term persistence, precipitation and subsurface drains , 2009 .

[37]  T. Huntington,et al.  Trends in Precipitation, Runoff, and Evapotranspiration for Rivers Draining to the Gulf of Maine in the United States* , 2014 .

[38]  Harry F. Lins,et al.  USGS Hydro-Climatic Data Network 2009 (HCDN-2009) , 2012 .

[39]  Glenn A. Hodgkins,et al.  Changes in the Number and Timing of Days of Ice-Affected Flow on Northern New England Rivers, 1930–2000 , 2005 .

[40]  Jae-Pil Cho,et al.  Simulation of land use impacts on groundwater levels and streamflow in a Virginia watershed , 2009 .

[41]  D. Ruppert Statistics and Data Analysis for Financial Engineering , 2010 .

[42]  Jean-Philippe Vidal,et al.  Low Flows in France and their relationship to large scale climate indices , 2013 .

[43]  V. Smakhtin Low flow hydrology: a review , 2001 .

[44]  T. Kjeldsen,et al.  Detection and attribution of urbanization effect on flood extremes using nonstationary flood‐frequency models , 2015, Water resources research.

[45]  Kermit K. Keeter,et al.  Winter Weather Forecasting throughout the Eastern United States. Part II: An Operational Perspective of Cyclogenesis , 1995 .

[46]  P. Bates,et al.  Flood frequency analysis for nonstationary annual peak records in an urban drainage basin , 2009 .

[47]  B. Anderson,et al.  Past and future changes in climate and hydrological indicators in the US Northeast , 2007 .

[48]  W. Brutsaert Annual drought flow and groundwater storage trends in the eastern half of the United States during the past two-third century , 2010 .

[49]  Demetris Koutsoyiannis,et al.  Hurst‐Kolmogorov Dynamics and Uncertainty 1 , 2011 .

[50]  Thomas C. Brown,et al.  Projected freshwater withdrawals in the United States under a changing climate , 2013 .

[51]  R. Vogel,et al.  Trends in precipitation and streamflow in the eastern U.S.: Paradox or perception? , 2006 .

[52]  Timothy A. Cohn,et al.  Nature's style: Naturally trendy , 2005 .

[53]  M. Kendall Rank Correlation Methods , 1949 .

[54]  J. Sheffield,et al.  Changes in the low flow regime over the eastern United States (1962–2011): variability, trends, and attributions , 2016, Climatic Change.

[55]  M. Ek,et al.  Continental‐scale water and energy flux analysis and validation for North American Land Data Assimilation System project phase 2 (NLDAS‐2): 2. Validation of model‐simulated streamflow , 2012 .

[56]  H. B. Mann Nonparametric Tests Against Trend , 1945 .

[57]  Gregory J. McCabe,et al.  A step increase in streamflow in the conterminous United States , 2002 .

[58]  Donald H. Burn,et al.  A Fuzzy C-Means approach for regionalization using a bivariate homogeneity and discordancy approach , 2011 .

[59]  Gregory J. Cavallo,et al.  BASE FLOW TRENDS IN URBANIZING WATERSHEDS OF THE DELAWARE RIVER BASIN 1 , 2005 .

[60]  R. Lowrance,et al.  Ground Water Storage Effect on Streamflow for a Southeastern Coastal Plain Watershed , 2003 .

[61]  H. Lins,et al.  Stationarity: Wanted Dead or Alive? 1 , 2011 .

[62]  Eric A. Rosenberg,et al.  A Long-Term Hydrologically Based Dataset of Land Surface Fluxes and States for the Conterminous United States: Update and Extensions* , 2002 .

[63]  Richard M. Vogel,et al.  Developing a Watershed Characteristics Database to Improve Low Streamflow Prediction , 2004 .

[64]  G. Hodgkins,et al.  Historical Groundwater Trends in Northern New England and Relations with Streamflow and Climatic Variables , 2013 .

[65]  M. Kendall,et al.  The advanced theory of statistics , 1945 .

[66]  Michael J Bradford,et al.  Low Flows, Instream Flow Needs and Fish Ecology in Small Streams , 2008 .

[67]  S. Opsahl,et al.  Evaluation of Ground‐Water and Surface‐Water Exchanges Using Streamflow Difference Analyses 1 , 2007 .

[68]  R. Sparks,et al.  THE NATURAL FLOW REGIME. A PARADIGM FOR RIVER CONSERVATION AND RESTORATION , 1997 .

[69]  Steven A. Mauget,et al.  Multidecadal Regime Shifts in U.S. Streamflow, Precipitation, and Temperature at the End of the Twentieth Century , 2003 .

[70]  Dennis P. Lettenmaier,et al.  Trends in 20th century drought over the continental United States , 2006 .

[71]  A. Robock,et al.  Large-scale water cycle perturbation due to irrigation pumping in the US High Plains: A synthesis of observed streamflow changes , 2010 .

[72]  Anja Walter The Advanced Theory Of Statistics Vol 3 Design And Analysis And Time Series , 2016 .