Kendall-Theil Robust Line (KTRLine--version 1.0)-A Visual Basic Program for Calculating and Graphing Robust Nonparametric Estimates of Linear-Regression Coefficients Between Two Continuous Variables

Granato, Gregory E.

doi:10.3133/tm4a7

Cited by 63 publications

(107 citation statements)

References 35 publications

Supporting

Mentioning

102

Contrasting

Order By: Relevance

“…, 2007; Claessens et al. , 2006; Granato, 2006). The slope was multiplied by the length of time to estimate total change per month during each period.…”

Section: Methodsmentioning

confidence: 99%

Streamflow Changes in the South Atlantic, United States During the Mid‐ and Late 20th Century¹

Patterson

Lutz

Doyle

2012

J American Water Resour Assoc

View full text Add to dashboard Cite

Repeated severe droughts over the last decade in the South Atlantic have raised concern that streamflow may be systematically decreasing, possibly due to climate variability. We examined the monthly and annual trends of streamflow, precipitation, and temperature in the South Atlantic for the time periods: 1934‐2005, 1934‐1969, and 1970‐2005. Streamflow and climate (temperature and precipitation) trends transitioned ca. 1970. From 1934 to 1969, streamflow and precipitation increased in southern regions and decreased in northern regions; temperature decreased throughout the South Atlantic. From 1970 to 2005, streamflow decreased, precipitation decreased, and temperature increased throughout the South Atlantic. It is unclear whether these will be continuing trends or simply part of a long‐term climatic oscillation. Whether these streamflow trends have been driven by climatic or anthropogenic changes, water resources management faces challenging prospects to adapt to decadal‐scale persistently wet and dry hydrologic conditions.

show abstract

“…, 2007; Claessens et al. , 2006; Granato, 2006). The slope was multiplied by the length of time to estimate total change per month during each period.…”

Section: Methodsmentioning

confidence: 99%

Streamflow Changes in the South Atlantic, United States During the Mid‐ and Late 20th Century¹

Patterson

Lutz

Doyle

2012

J American Water Resour Assoc

View full text Add to dashboard Cite

show abstract

“…Both methods provide robust intercept estimates; Nevitt and Tam (1998) showed that the Theil (1950) method was slightly more robust than the Conover (1980) method using simulated datasets, and Helsel and Hirsch (2002) and Granato (2006) recommended using the Conover (1980) method based on its analogy to the ordinary least squares approach. When testing both methods very similar results were obtained, thus for this analysis we simply selected the first method (Eq.…”

Section: Appendix B: Mann-kendall/theil-sen Trend Analysismentioning

confidence: 96%

Trends in Canadian Short‐Duration Extreme Rainfall: Including an Intensity–Duration–Frequency Perspective

et al. 2014

View full text Add to dashboard Cite

Short-duration (5 minutes to 24 hours) rainfall extremes are important for a number of purposes, including engineering infrastructure design, because they represent the different meteorological scales of extreme rainfall events. Both single location and regional analyses of the changes in short-duration extreme rainfall amounts across Canada, as observed by tipping bucket rain gauges from 1965 to 2005, are presented. The single station analysis shows a general lack of a detectable trend signal, at the 5% significance level, because of the large variability and the relatively short period of record of the extreme short-duration rainfall amounts. The single station 30-minute to 24-hour durations show that, on average, 4% of the total number of stations have statistically significant increasing amounts of rainfall, whereas 1.6% of the cases have significantly decreasing amounts. However, regional spatial patterns are apparent in the single station trend results. Thus, for the same durations regional trends are presented by grouping the single station trend statistics across Canada. This regional trend analysis shows that at least two-thirds of the regions across Canada have increasing trends in extreme rainfall amounts, with up to 33% being significant (depending on location and duration). Both the southwest and the east (Newfoundland) coastal regions generally show significant increasing regional trends for 1-and 2-hour extreme rainfall durations. For the shortest durations of 5-15 minutes, the general overall regional trends in the extreme amounts are more variable, with increasing and decreasing trends occurring with similar frequency; however, there is no evidence of statistically significant decreasing regional trends in extreme rainfall amounts. The decreasing regional trends for the 5-to 15-minute duration amounts tend to be located in the St. Lawrence region of southern Quebec and in the Atlantic provinces. Additional analysis using criteria specified for traditional water management practice (e.g., Intensity-Duration-Frequency (IDF)) shows that fewer than 5.6% and 3.4% of the stations have significant increasing and decreasing trends, respectively, in extreme annual maximum single location observation amounts. This indicates that at most locations across Canada the traditional single station IDF assumption that historical extreme rainfall observations are stationary (in terms of the mean) over the period of record for an individual station is not violated. However, the trend information is still useful complementary information that can be considered for water management purposes, especially in terms of regional analysis.

show abstract

“…The slope of the Kendall-Theil line is calculated as the median of all possible pairs of slopes between points. The intercept is calculated so that the line will run through the median of the data used (Granato, 2006). The KendallTheil line is not affected by outliers and therefore is a good representation of monotonic trend if it exists.…”

Section: Long-term Trendsmentioning

confidence: 99%

Increasing shallow groundwater CO2 and limestone weathering, Konza Prairie, USA

Macpherson

Roberts

Blair

et al. 2008

Geochimica et Cosmochimica Acta

View full text Add to dashboard Cite

Kendall-Theil Robust Line (KTRLine--version 1.0)-A Visual Basic Program for Calculating and Graphing Robust Nonparametric Estimates of Linear-Regression Coefficients Between Two Continuous Variables

Abstract: Line (KTRLine-version 1.0)-A visual basic program for calculating and graphing robust nonparametric estimates of linear-regression coefficients between two continuous variables: Techniques and Methods of the U.S. Geological Survey, book 4, chap. A7, 31 p.

Cited by 63 publications

References 35 publications

Streamflow Changes in the South Atlantic, United States During the Mid‐ and Late 20th Century¹

Streamflow Changes in the South Atlantic, United States During the Mid‐ and Late 20th Century¹

Trends in Canadian Short‐Duration Extreme Rainfall: Including an Intensity–Duration–Frequency Perspective

Increasing shallow groundwater CO2 and limestone weathering, Konza Prairie, USA

Contact Info

Product

Resources

About

Kendall-Theil Robust Line (KTRLine--version 1.0)-A Visual Basic Program for Calculating and Graphing Robust Nonparametric Estimates of Linear-Regression Coefficients Between Two Continuous Variables

Abstract: Line (KTRLine-version 1.0)-A visual basic program for calculating and graphing robust nonparametric estimates of linear-regression coefficients between two continuous variables: Techniques and Methods of the U.S. Geological Survey, book 4, chap. A7, 31 p.

Cited by 63 publications

References 35 publications

Streamflow Changes in the South Atlantic, United States During the Mid‐ and Late 20th Century1

Streamflow Changes in the South Atlantic, United States During the Mid‐ and Late 20th Century1

Trends in Canadian Short‐Duration Extreme Rainfall: Including an Intensity–Duration–Frequency Perspective

Increasing shallow groundwater CO2 and limestone weathering, Konza Prairie, USA

Contact Info

Product

Resources

About

Streamflow Changes in the South Atlantic, United States During the Mid‐ and Late 20th Century¹

Streamflow Changes in the South Atlantic, United States During the Mid‐ and Late 20th Century¹