EVALUATING and IMPROVING the PERFORMANCE of RADAR to ESTIMATE RAINFALL a Thesis Presented to the Faculty of the Graduate School
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EVALUATING AND IMPROVING THE PERFORMANCE OF RADAR TO ESTIMATE RAINFALL A thesis presented to the Faculty of the Graduate School at the University of Missouri-Columbia In Partial Fulfillment Of the Requirements for the Degree Master of Science by GEORGE LIMPERT Dr. Neil Fox, Thesis Supervisor August 2008 The undersigned, appointed by the dean of the Graduate School, have examined the thesis entitled EVALUATING AND IMPROVING THE PERFORMANCE OF RADAR TO ESTIMATE RAINFALL presented by George Limpert, a candidate for the degree of master of science, and hereby certify that, in their opinion, it is worthy of acceptance. _____________________________________ Dr. Neil I. Fox _____________________________________ Dr. E. John Sadler _____________________________________ Dr. Kannappan Palaniappan Acknowledgements I would first like to thank my Lord and Savior Jesus Christ. Without Him, I would not be here at the University of Missouri finishing up my M.S. and heading on my way to the University of Nebraska-Lincoln. I would like to thank the University of Missouri. In particular, I would like to thank my advisor, Dr. Neil Fox for his guidance and direction in this research and for giving me the opportunity to attend MU and seeking funding for me. I would like to thank the other members of my committee, Dr. John Sadler and Dr. Kannappan Palaniappan. I would in particular like to thank the USDA-ARS Cropping Systems and Water Quality research unit for providing me with a topic to research and for funding me for my three years at MU. There are way too many students to thank along the way, so I will only thank a few. If I haven't mentioned you but you helped me along the way, I thank you, but just can't mention it here without writing an extremely long essay. I would like to thank Steve Lack for giving me ideas and guidance in my research. I would also like to thank Steve for convincing me to make many a trip to McDonalds, talking Cleveland Indians and Penn State smack to me, and for making my time in 1-77 a fun time. ii I would like to thank Chris Schultz for helping me find my way around the department and become accustomed to meteorology. I'm studying meteorology here because in part people like Chris welcomed me and gave me plenty of reasons to stay at MU. I would like to thank Katy Morgan for working with me on my first conference presentation of my own and presenting with me. My first year in the department would not have been the same. I would also like to thank Katy for doing her best to convince me not to root for Kansas. Whether or not she was successful remains to be seen. Go Nationals! I would like to thank Jeff La Montia for talking to me many a time about meteorology for hours. I would also like to thank Jeff for talking plenty of smack to me about the Nebraska Cornhuskers. I would like to thank Kelly Scott for spending many hours with me in the GIS lab doing tedious work to process lots of radar data. I'm sure glad I didn't do all the data processing on my own. I would like to thank Tara Travers for working with me on the part of the algorithm that distinguishes between rotating and non-rotating storms and for presenting this work with me. I also thank Tara for giving me plenty of encouragement to keep working and to finish my M.S. and my thesis. Rock Chalk Jayhawk KU! (Sorry, Katy) This one's for you. I would like to thank Brittany Perrin for working with me on many projects, including some very cool tropical meteorology projects. I would iii like to thank Brittany for helping me prepare for my defense and giving me the needed encouragement and criticism. Go Royals! Finally, I would like to thank my family for their encouragement and support to complete my M.S. and to finish up my thesis. Thank you! iv Table of Contents Acknowledgements.................................................................. ii Table of Contents.................................................................... v List of Figures......................................................................... viii List of Tables........................................................................... xi Abstract.................................................................................. xv Chapter 1 Introduction............................................................. 1 1.1 Evaluation of Radar Estimates of Rainfall......................................... 4 1.2 Improving Radar Estimates of Rainfall............................................. 7 Chapter 2 Background Information........................................... 12 2.1 Rain Gage Observations and Errors................................................. 12 2.2 Radar Estimation of Rainfall............................................................. 13 2.3 Postprocessing of Rainfall Estimates................................................ 18 2.4 Calibration of Rainfall Estimates...................................................... 20 Chapter 3 Methodology of Intercomparison............................... 22 3.1 Catchment........................................................................................ 22 3.2 Rain Gages....................................................................................... 24 3.2.1 Automated Surface Observing Stations............................ 25 3.2.2 Missouri Climate Center Stations...................................... 26 3.2.3 USDA-ARS Stations........................................................... 28 3.3 Radar-Derived Observations............................................................ 30 3.3.1 Rainfall Derived from Level III Data.................................. 30 3.3.2 MPE Data.......................................................................... 31 3.4 Cases................................................................................................ 32 3.4.1 May 19, 2004 at 07 UTC................................................... 32 3.4.2 July 6, 2004 at 13 UTC...................................................... 33 3.4.3 August 4, 2004 at 08 UTC................................................. 34 3.4.4 August 4, 2004 at 09 UTC................................................. 35 3.4.5 August 26, 2004 at 06 UTC............................................... 37 3.4.6 August 26, 2004 at 07 UTC............................................... 37 3.4.7 August 27, 2004 at 18 UTC............................................... 38 3.4.8 October 18, 2004 at 10 UTC............................................. 39 3.5 Procedure......................................................................................... 40 3.5.1 Ingesting Data.................................................................. 41 v 3.5.2 Interpolation of Data......................................................... 44 3.5.3 Methods of Intercomparing Observations......................... 48 3.5.4 Intercomparison of Data Sets........................................... 49 3.5.5 Calibrating Radar-Derived Products.................................. 50 3.5.6 Intercomparing Calibrated Radar-Derived Products......... 51 Chapter 4 Results of Intercomparison....................................... 52 4.1 Intercomparison of Unadjusted Data................................................ 52 4.2 Intercomparison of Adjusted Data.................................................... 63 4.3 Discussion of Results........................................................................ 70 Chapter 5 Algorithm Methodology............................................ 75 5.1 Purpose of Algorithm........................................................................ 75 5.2 Identifying Precipitation Type and Structure.................................... 76 5.3 Evaluating Thunderstorm Organization............................................ 79 5.3.1 Detecting Rotation in Thunderstorms............................... 80 5.3.2 Detecting Linear Thunderstorms...................................... 82 5.4 Selecting an Appropriate Z-R Relationship....................................... 83 5.5 Limiting Hail Comtamination............................................................ 85 5.6 Procedure......................................................................................... 87 Chapter 6 Results of Algorithm................................................. 90 6.1 Algorithm Output.............................................................................. 90 6.2 Discussion of Results........................................................................ 100 6.2.1 Effects of Different Data Sets........................................... 101 6.2.2 Z-R Relationship Selection................................................ 102 6.2.3 Hail Cap Effects................................................................ 104 6.2.4 Other Sources of Error...................................................... 106 6.3 Future Work...................................................................................... 106 6.4 Summary.......................................................................................... 107 Chapter 7 Conclusion............................................................... 109 References.............................................................................. 114 Appendix A Z-R Relationships................................................... 119 vi Appendix B Radar Errors.......................................................... 122 B.1 Bright Band...................................................................................... 122 B.2 Anomalous Propagation..................................................................