Daily Precipitation and Tropical Moisture Exports across the Eastern United States: An Application of Archetypal Analysis to Identify Spatiotemporal Structure

AbstractThis study examines the spatiotemporal variability of two sets of daily precipitation from ERA-Interim across the eastern United States between 1979 and 2013: 1) total precipitation and 2) precipitation originating from tropical moisture exports (TMEs), which have been linked to extremes of midlatitude precipitation. Archetypal analysis (AA) is introduced as a new method to decompose and characterize structures within the spatiotemporal climate data. AA is uniquely suited to identify extremal patterns and is a complementary method to empirical orthogonal function (EOF) analysis. The authors provide a brief comparison between AA and EOF analysis and then examine the spatiotemporal variability, circulation anomalies, and sea surface temperature teleconnections associated with the archetypes of the two precipitation variables. Markovian structure, seasonal variability, and interannual trends in archetype occurrence are explored using nonparametric generalized linear models (GLMs). Results show that t...

[1]  J. Wallace,et al.  Barotropic Wave Propagation and Instability, and Atmospheric Teleconnection Patterns. , 1983 .

[2]  H. Storch,et al.  Statistical Analysis in Climate Research , 2000 .

[3]  I. Jolliffe,et al.  In search of simple structures in climate: simplifying EOFs , 2006 .

[4]  P. Dirmeyer,et al.  The “Maya Express”: Floods in the U.S. Midwest , 2009 .

[5]  Upmanu Lall,et al.  Recent advances in nonparametric function estimation: Hydrologic applications , 1995 .

[6]  Y. Kushnir,et al.  Variation of the North Atlantic subtropical high western ridge and its implication to Southeastern US summer precipitation , 2012, Climate Dynamics.

[7]  Yongti Zhu,et al.  Atmospheric rivers and bombs , 1994 .

[8]  Giancarlo Ragozini,et al.  ARCHETYPAL ANALYSIS FOR INTERVAL DATA IN MARKETING RESEARCH 1 , 2006 .

[9]  Upmanu Lall,et al.  A hierarchical Bayesian regional model for nonstationary precipitation extremes in Northern California conditioned on tropical moisture exports , 2015 .

[10]  Manuel J. A. Eugster,et al.  Weighted and robust archetypal analysis , 2011, Comput. Stat. Data Anal..

[11]  Andreas Stohl,et al.  On the origin of continental precipitation , 2010 .

[12]  R. Trigo,et al.  Influence of the intensification of the major oceanic moisture sources on continental precipitation , 2013 .

[13]  Deli Zhao,et al.  Face Recognition via Archetype Hull Ranking , 2013, 2013 IEEE International Conference on Computer Vision.

[14]  Atmosphere and Ocean Origins of North American Droughts , 2014 .

[15]  Padhraic Smyth,et al.  Downscaling of Daily Rainfall Occurrence over Northeast Brazil Using a Hidden Markov Model , 2004, Journal of Climate.

[16]  G. Gastineau,et al.  Influence of the North Atlantic SST Variability on the Atmospheric Circulation during the Twentieth Century , 2015 .

[17]  H. Wernli,et al.  A Global Climatology of Tropical Moisture Exports , 2013 .

[18]  Upmanu Lall,et al.  Dynamical Structure of Extreme Floods in the U.S. Midwest and the United Kingdom , 2013, Journal of Hydrometeorology.

[19]  M. Dettinger,et al.  Drought and the California Delta—A Matter of Extremes , 2014 .

[20]  P. Dirmeyer,et al.  Floods over the U.S. Midwest: A Regional Water Cycle Perspective , 2010 .

[21]  S. Schubert,et al.  Warm Season Variations in the Low-Level Circulation and Precipitation over the Central United States in Observations, AMIP Simulations, and Idealized SST Experiments , 2009 .

[22]  Chunzai Wang,et al.  Atlantic warm pool, Caribbean low‐level jet, and their potential impact on Atlantic hurricanes , 2007 .

[23]  Sohan Seth,et al.  Probabilistic archetypal analysis , 2013, Machine Learning.

[24]  K. Fraedrich,et al.  The North Atlantic jet stream: a look at preferred positions, paths and transitions , 2012 .

[25]  G. Plaut,et al.  Spells of Low-Frequency Oscillations and Weather Regimes in the Northern Hemisphere. , 1994 .

[26]  Manuel J. A. Eugster,et al.  Performance Profiles based on Archetypal Athletes , 2012 .

[27]  G. Villarini,et al.  The nexus between atmospheric rivers and extreme precipitation across Europe , 2013 .

[28]  Alberto M. Mestas-Nuñez,et al.  The Atlantic Multidecadal Oscillation and its relation to rainfall and river flows in the continental U.S. , 2001 .

[29]  H. Wernli,et al.  A Lagrangian Climatology of Tropical Moisture Exports to the Northern Hemispheric Extratropics , 2009 .

[30]  Ian T. Jolliffe,et al.  Empirical orthogonal functions and related techniques in atmospheric science: A review , 2007 .

[31]  J. Horel Complex Principal Component Analysis: Theory and Examples , 1984 .

[32]  R. Fu,et al.  Changes to the North Atlantic Subtropical High and Its Role in the Intensification of Summer Rainfall Variability in the Southeastern United States , 2011 .

[33]  G. P. King,et al.  Extracting qualitative dynamics from experimental data , 1986 .

[34]  D. Enfield,et al.  Atlantic Warm Pool acting as a link between Atlantic Multidecadal Oscillation and Atlantic tropical cyclone activity , 2008 .

[35]  A. O'Hagan,et al.  Estimation of the Upper Tail Dependence Coefficient for Insurance Loss Data Using an Empirical Copula-Based Approach , 2014 .

[36]  Abdelwaheb Hannachi,et al.  Intermittency, autoregression and censoring: a first‐order AR model for daily precipitation , 2014 .

[37]  G. Lackmann The South-Central U.S. Flood of May 2010: Present and Future* , 2013 .

[38]  E. Muñoz,et al.  The boreal spring variability of the Intra-Americas low-level jet and its relation with precipitation and tornadoes in the eastern United States , 2011 .

[39]  M. Dettinger,et al.  Atmospheric Rivers, Floods and the Water Resources of California , 2011 .

[40]  John D. Horel,et al.  A Rotated Principal Component Analysis of the Interannual Variability of the Northern Hemisphere 500 mb Height Field , 1981 .

[41]  F. Martin Ralph,et al.  Flooding in Western Washington: The Connection to Atmospheric Rivers* , 2011 .

[42]  Lars Kai Hansen,et al.  Archetypal analysis for machine learning , 2010, 2010 IEEE International Workshop on Machine Learning for Signal Processing.

[43]  B. Chan,et al.  Archetypal analysis of galaxy spectra , 2003, astro-ph/0301491.

[44]  M. Dettinger Atmospheric Rivers as Drought Busters on the U.S. West Coast , 2013 .

[45]  Eric F. Wood,et al.  Winter floods in Britain are connected to atmospheric rivers , 2011 .

[46]  S. Steinschneider,et al.  Influences of North Atlantic climate variability on low-flows in the Connecticut River Basin , 2011 .

[47]  S. Marinetti,et al.  Archetypes and principal components of an IR image sequence , 2007 .

[48]  R. Seager,et al.  Mechanisms of Tropical Atlantic SST Influence on North American Precipitation Variability , 2010 .

[49]  Helen F. Dacre,et al.  How Do Atmospheric Rivers Form , 2015 .

[50]  I. Jolliffe,et al.  A Modified Principal Component Technique Based on the LASSO , 2003 .

[51]  Michael D. Dettinger,et al.  Observed Impacts of Duration and Seasonality of Atmospheric-River Landfalls on Soil Moisture and Runoff in Coastal Northern California , 2013 .

[52]  Gabriele Villarini,et al.  The contribution of atmospheric rivers to precipitation in Europe and the United States , 2015 .

[53]  Adele Cutler,et al.  Introduction to archetypal analysis of spatio-temporal dynamics , 1996 .

[54]  R. Saravanan,et al.  Impact of Atlantic SST and high frequency atmospheric variability on the 1993 and 2008 Midwest floods: Regional climate model simulations of extreme climate events , 2015, Climatic Change.

[55]  Manuel J. A. Eugster,et al.  From Spider-man to Hero - archetypal analysis in R , 2009 .

[56]  F. Martin Ralph,et al.  Physical Processes Associated with Heavy Flooding Rainfall in Nashville, Tennessee, and Vicinity during 1–2 May 2010: The Role of an Atmospheric River and Mesoscale Convective Systems* , 2011 .

[57]  Heini Wernli,et al.  A Lagrangian‐based analysis of extratropical cyclones. I: The method and some applications , 1997 .

[58]  Adele Cutler,et al.  Moving archetypes , 1997 .

[59]  Michael A. Palecki,et al.  Pacific and Atlantic Ocean influences on multidecadal drought frequency in the United States , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[60]  J. Wallace,et al.  A Pacific Interdecadal Climate Oscillation with Impacts on Salmon Production , 1997 .

[61]  F. Martin Ralph,et al.  Meteorological Characteristics and Overland Precipitation Impacts of Atmospheric Rivers Affecting the West Coast of North America Based on Eight Years of SSM/I Satellite Observations , 2008 .

[62]  Morten Mørup,et al.  Archetypal analysis of diverse Pseudomonas aeruginosa transcriptomes reveals adaptation in cystic fibrosis airways , 2013, BMC Bioinformatics.

[63]  J. Thepaut,et al.  The ERA‐Interim reanalysis: configuration and performance of the data assimilation system , 2011 .

[64]  M. Latif,et al.  A Cautionary Note on the Interpretation of EOFs , 2002 .

[65]  A. E. Gill Some simple solutions for heat‐induced tropical circulation , 1980 .

[66]  Upmanu Lall,et al.  Precipitation predictability associated with tropical moisture exports and circulation patterns for a major flood in France in 1995 , 2013 .

[67]  Kenneth E. Kunkel,et al.  Development of a Regional Climate Model for U.S. Midwest Applications. Part I: Sensitivity to Buffer Zone Treatment , 2001 .

[68]  K. Mo,et al.  Influence of the Great Plains Low-Level Jet on Summertime Precipitation and Moisture Transport over the Central United States , 1997 .

[69]  B. Weare,et al.  Examples of Extended Empirical Orthogonal Function Analyses , 1982 .

[70]  R. Horton,et al.  Beyond Hurricane Sandy: What Might the Future Hold for Tropical Cyclones in the North Atlantic? , 2014 .

[71]  G. Villarini,et al.  Atmospheric Rivers and Flooding over the Central United States , 2013 .

[72]  L. Gimeno,et al.  The role of the ENSO cycle in the modulation of moisture transport from major oceanic moisture sources , 2014 .

[73]  Phillip A. Arkin,et al.  Biennial Variations in Surface Temperature over the United States as Revealed by Singular Decomposition , 1981 .

[74]  C. Deser,et al.  A U.S. CLIVAR Project to Assess and Compare the Responses of Global Climate Models to Drought-Related SST Forcing Patterns: Overview and Results , 2009 .

[75]  Zaïd Harchaoui,et al.  Fast and Robust Archetypal Analysis for Representation Learning , 2014, 2014 IEEE Conference on Computer Vision and Pattern Recognition.