Konrad, C.P. 20250307 1 tabular digital data https://doi.org/10.5066/P14W2QOU These data sets have at-site values of probability differences and entropy-based metrics to compare the effects of streamflow resolution, monitoring period, and record extension instead of monitoring on streamflow information. Source code for the R functions used to calculate conditional probabilities, conditional entropy, and mutual information are included in a compressed file with instructions. The data were calculated to demonstrate how decisions for operating monitoring networks can be supported by quantifying streamflow information and to infer how accuracy, monitoring period, and record extension affect streamflow information. 19801001 20201231 ground condition Complete None planned United States of America -178.2100 -48.8672 71.3500 15.6230 ISO 19115 Topic Category biota None streamflow conditional probability entropy operations research USGS Metadata Identifier USGS:67214f5dd34ed0f827eaaf27 None United States of America None. Please see 'Distribution Info' for details. None. Users are advised to read the dataset's metadata thoroughly to understand appropriate use and data limitations. Christopher P Konrad USGS - NW-PACIFIC ISLAND REG Research Hydrologist mailing and physical

WA WSC,Kress/PAyless Building

Tacoma WA 98402 253-552-1634 cpkonrad@usgs.gov Windows 11, R 4.4 NA Selected at-site values were re-calculated and compared to data release. Daily mean streamflow is available through USGS NWIS at every site for at least 60 months for period from 1 October 1980 to 30 September 2020 with no more than a two-day gap in any month and at least one day when streamflow was greater than zero. Sites with tidal influence (negative streamflow), effects from reservoir operation, or on canals (e.g., diversions, bypasses, returns) are included if they meet these criteria NA NA US Geological Survey 2024 tabular digital data http://dx.doi.org/10.5066/F7P55KJN Digital and/or Hardcopy 19801001 20201230 observed National Water Information System Daily streamflow values Daily streamflow time series were transformed into probability time series to calculate probability differences and entropy-based metrics. 2024 Christopher P Konrad USGS - NW-PACIFIC ISLAND REG Research Hydrologist mailing and physical

WA WSC,Kress/PAyless Building

Tacoma WA 98402 253-552-1634 cpkonrad@usgs.gov SiteInfo.csv Comma Separated Value (CSV) file containing data. Producer Defined SiteID Site identifier US Geological Survey Numerical code that identifies the site. RecordLength.Months Length of streamflow record used to calculate probabilities and entropy. Producer Defined 60 480 Months 1 Hydroperiod Fraction of days when streamflow was not equal to zero Producer Defined 0.0 1.0 Fraction of days 0.01 Entropy.QdvBinned.nats Shannon entropy of daily streamflow binned for -/+2.5% resolution Producer Defined 0.004 5.35 nats 0.001 PrAnom5yrCB50.PerDay 50% confidence bound on 5-year cumulative anomalies of daily streamflow probabilities from p=0.5 Producer Defined NA Sites with less than 40 years of daily streamflow Producer defined 0.002 0.252 per day 0.001 MutInfo5yr.nats Median value of mutual information of 40-year streamflow record and 5-year subsets Producer Defined NA Sites with less than 40 years of daily streamflow Producer defined 0.063 2.512 nats 0.001 PrAnom20yrCB50.PerDay 50% confidence bound on 20-year cumulative anomalies of daily streamflow probabilities from p=0.5 Producer Defined NA Sites with less than 40 years of daily streamflow Producer defined 0.001 0.127 per day 0.001 MutInfo20yr.nats Median value of mutual information of 40-year streamflow record and 20-year subsets Producer Defined NA Sites with less than 40 years of daily streamflow Producer defined 0.065 3.575 nats 0.001 SiteIDBestPair Site identifier for paired site where daily streamflow has the smallest probability difference Producer Defined Numeric code used to identify site PrDiffBestPair.PerDay Difference between daily streamflow probabilities for best paired site Producer Defined 0.0 0.312 nats 0.001 MutInfoBestPair.nats Mutual information of daily streamflow at best pair Producer Defined -0.597 3.625 nats 0.001 SeasonalDefinitions.csv Comma Separated Value (CSV) file containing data. Producer Defined SiteID Site identifier US Geological Survey Numerical code that identifies the site WetSeasonStart.DOY Median annual start of the longest continuous period of positive daily streamflow probability anomalies from p=0.5 Producer Defined NA Sites with less than 40 years of daily streamflow Producer defined 0 366 day of year (1 = 1 January) 1 WetSeasonLength.Days Median annual length of longest continuous period of positive anomalies in daily streamflow probabilities from p=0.5 Producer Defined NA Sites with less than 40 years of daily streamflow Producer defined 0 247 days 1 WetSeasonMedianAnPrAnom.PerDay Median annual cumulative probability anomaly for the longest continuous period of positive daily streamflow probability anomalies from p=0.5 Producer Defined NA Sites with less than 40 years of daily streamflow Producer defined 0.00 47.16 per day 0.01 DrySeasonStart.DOY Median annual start of the longest continuous period of negative daily streamflow probability anomalies from p=0.5 Producer Defined NA Sites with less than 40 years of daily streamflow Producer defined 0 366 day of year (1=1 January) 1 DrySeasonLength.Days Median annual length of the longest continuous period of negative daily streamflow probability anomalies from p=0.5 Producer Defined NA Sites with less than 40 years of daily streamflow Producer defined 0 310 days 1 DrySeasonMedianAnPrAnom.PerDay Median annual cumulative probability anomaly for the longest continuous period of negative daily streamflow probability anomalies from p=0.5 Producer Defined NA Sites with less than 40 years of daily streamflow Producer defined -56.54 0 per day 0.01 This data release includes two data sets: SiteInfo.csv, which provides streamflow information measures (probability differences and entropy); and SeasonalDefinitions, which characterizes dry and wet season at each site. It also has a compressed file, Rfunctions.Cond_Prob_and_Entropies.zip, with source code for R functions used to calculate conditional probabiities and entropies of time series of paired variables. The compressed file includes a README.txt file with directions on how to use the functions. Konrad, C.P., 2025. Site information, probability differences, and entropy-based metrics of streamflow information for the USGS continuous streamflow monitoring network, 1981-2020, U.S. Geological Survey Data Release, https://doi.org/10.5066/P14W2QOU. GS ScienceBase U.S. Geological Survey mailing address

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Denver CO 80225 United States 1-888-275-8747 sciencebase@usgs.gov Unless otherwise stated, all data, metadata and related materials are considered to satisfy the quality standards relative to the purpose for which the data were collected. Although these data and associated metadata have been reviewed for accuracy and completeness and approved for release by the U.S. Geological Survey (USGS), no warranty expressed or implied is made regarding the display or utility of the data for other purposes, nor on all computer systems, nor shall the act of distribution constitute any such warranty. Digital Data https://doi.org/10.5066/P14W2QOU None 20250307 Christopher P Konrad USGS - NW-PACIFIC ISLAND REG Research Hydrologist mailing and physical

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Tacoma WA 98402 253-552-1634 cpkonrad@usgs.gov FGDC Biological Data Profile of the Content Standard for Digital Geospatial Metadata FGDC-STD-001.1-1999