A tutorial on the piecewise regression approach applied to ...

United StatesDepartmentof AgricultureForest Service General Technical Report RMRS-GTR-189 Rocky Mountain Research Station May 2007A tutorial on the piecewise regression approach applied to Bedload Transport DataSandra E. RyanLaurie S. PorthRyan, Sandra E.; Porth, Laurie S. 2007. A tutorial on the piecewise regression ap-proach applied to bedload transport data. Gen. Tech. Rep. RMRS-GTR-189. Fort Collins, CO: Department of Agriculture, Forest Service, Rocky Mountain Research Station. 41 tutorial demonstrates the application of piecewise regression to bedload data to define a shift in phase of transport so that the reader may perform similar analyses on available data. The use of piecewise regression analysis implicitly recognizes dif-ferent functions fit to bedload data over varying ranges of flow.

Estimating starting parameters The first step in applying piecewise regression to bedload and flow data is to graph the data and estimate where the breaks appear to occur. Applying a nonparametric smooth to the data, such as a LOESS fit (box 1), can help the user determine where these breaks manifest themselves. Using figure 2, we

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