Application of a space‐time stochastic model for daily precipitation using atmospheric circulation patterns

Space-time series of daily precipitation amount conditioned on daily circulation pattern (CP) types are calculated. A stochastic hydroclimatological model is used to define daily precipitation under the climate of eastern Nebraska. Principal component analysis and k means method result in nine CP types in west central United States on the basis of 40 years of data. Both the probability and the amount of daily precipitation are strongly related to CP types. The approach can be used to predict the regional or local hydrological effect of climate change.

[1]  Dennis P. Lettenmaier,et al.  A Markov Renewal Model for Rainfall Occurrences , 1987 .

[2]  M. Richman,et al.  Rotation of principal components , 1986 .

[3]  Kevin E. Trenberth,et al.  Recent Observed Interdecadal Climate Changes in the Northern Hemisphere , 1990 .

[4]  T. J. Chang,et al.  Daily Precipitation Modeling by Discrete Autoregressive Moving Average Processes , 1984 .

[5]  Rafael L. Bras,et al.  Optimal estimators of mean areal precipitation in regions of orographic influence , 1982 .

[6]  J. MacQueen Some methods for classification and analysis of multivariate observations , 1967 .

[7]  D. Cayan,et al.  The Influence of North Pacific Atmospheric Circulation on Streamflow in the West , 2013 .

[8]  C. Mock Drought and Precipitation Fluctuations in the Great Plains during the Late Nineteenth Century , 1991 .

[9]  C. Willmott A component analytic approach to precipitation regionalization in California , 1976 .

[10]  John A. Hartigan,et al.  Clustering Algorithms , 1975 .

[11]  R. Barry,et al.  Synoptic climatology of the Western United States in relation to climatic fluctuations during the twentieth century , 1981 .

[12]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1972 .

[13]  D. Leathers Relationships between 700 mb Circulation Variations and Great Plains Climate , 1991 .

[14]  James D. Hamilton Time Series Analysis , 1994 .

[15]  D. Parker,et al.  A study of climatic variability of daily central england temperatures in relation to the lamb synoptic types , 1981 .

[16]  J. M. Craddock,et al.  Eigenvectors for representing the 500 mb geopotential surface over the Northern Hemisphere , 1969 .

[17]  P. S. Eagleson,et al.  Mathematical models of rainstorm events in space and time , 1987 .

[18]  András Bárdossy,et al.  Modeling daily rainfall using a semi-Markov representation of circulation pattern occurrence , 1991 .

[19]  Brent Yarnal,et al.  Subjectivity in A computer‐assisted synoptic climatology I: Classification results , 1987 .

[20]  Brent Yarnal,et al.  Subjectivity in a computer‐assisted synoptic climatology II: Relationships to surface climate , 1988 .

[21]  Henry F. Diaz,et al.  Potential Errors in the Application of Principal Component (Eigenvector) Analysis to Geophysical Data , 1982 .

[22]  Robert D. Elliott,et al.  Forecasting The Weather: The Weather Types of North America - 2 , 1949 .

[23]  John E. Kutzbach,et al.  LARGE-SCALE FEATURES OF MONTHLY MEAN NORTHERN HEMISPHERE ANOMALY MAPS OF SEA-LEVEL PRESSURE , 1970 .

[24]  T. J. Chang,et al.  Modeling of Sequences of Wet and Dry Days by Binary Discrete Autoregressive Moving Average Processes , 1984 .

[25]  Jeffrey R. Key,et al.  A COMPARISON OF SYNOPTIC CLASSIFICATION SCHEMES BASED ON 'OBJECTIVE' PROCEDURES , 1986 .

[26]  G. McCabe,et al.  Simulation of precipitation by weather type analysis , 1991 .

[27]  A. Bárdossy,et al.  SPACE-TIME MODEL FOR DAILY RAINFALL USING ATMOSPHERIC CIRCULATION PATTERNS , 1992 .

[28]  J. Delleur,et al.  A stochastic cluster model of daily rainfall sequences , 1981 .

[29]  Lucien Duckstein,et al.  Linkage between the occurrence of daily atmospheric circulation patterns and floods: an Arizona case study , 1993 .

[30]  András Bárdossy,et al.  Detection of climate change in Europe by analyzing European atmospheric circulation patterns from 1881 to 1989 , 1990 .

[31]  D. Wilhite Government Response to Drought in the United States:With Particular Reference to the Great Plains , 1983 .

[32]  K. Hirschboeck Hydroclimatology of flow events in the Gila River Basin, Central and southern Arizona , 1985 .

[33]  C. Willmott P-mode principal components analysis, grouping and precipitation regions in California , 1978 .

[34]  Iver A. Lund Map-Pattern Classification by Statistical Methods , 1963 .

[35]  D. Cayan,et al.  Local Relationships between United States West Coast Precipitation and Monthly Mean Circulation Parameters , 1984 .

[36]  Lucien Duckstein,et al.  Practical generation of synthetic rainfall event time series in a semi-arid climatic zone , 1988 .

[37]  Dennis P. Lettenmaier,et al.  A hierarchical stochastic model of large‐scale atmospheric circulation patterns and multiple station daily precipitation , 1992 .

[38]  L. H. Horn,et al.  Northern Hemisphere extratropical cyclone activity for four mid‐season months , 1984 .

[39]  D. Lettenmaier,et al.  Simulation of daily precipitation in the Pacific Northwest using a weather classification scheme , 1991 .

[40]  Roy W. Koch,et al.  Surface Climate and Streamflow Variability in the Western United States and Their Relationship to Large‐Scale Circulation Indices , 1991 .

[41]  M. Small,et al.  The Relationship Between a Continuous‐Time Renewal Model and a Discrete Markov Chain Model of Precipitation Occurrence , 1986 .

[42]  Lucien Duckstein,et al.  A stochastic model of runoff-producing rainfall for summer type storms , 1972 .