Spatio‐temporal changes in precipitation, temperature and their possibly changing relationship: a case study in the Wei River Basin, China

With the purpose of further understanding the spatio-temporal changes in precipitation, temperature and their possibly changing relationship in the Wei River Basin (WRB), a typical arid and semi-arid region in China, the modified Mann-Kendall (MMK) test method was used to capture their trends at monthly and annual time scales, and the K-means cluster analysis method was applied to divide the whole basin into three homogeneous sub-regions. Furthermore, a copulas-based method was introduced in this study to identify possible inflection points of the relationship between precipitation and temperature in the WRB. Results indicate that: (1) spatially, both annual average precipitation and temperature decreased from southeast to northwest; temporally, for most months, a decreasing trend was found for precipitation while the air temperature in most months has a significantly increasing trend at 99% confidence level at monthly and annual time scales in the WRB; (2) climate warming has less effect on the precipitation structure than that on the precipitation magnitude in the WRB; and (3) overall, the relationship between precipitation and temperature in the whole WRB has no significant inflection point, implying a relatively stable relationship between precipitation and temperature changes. This study provides a new idea and quantitative measure for the identification of inflection points of the relationship between precipitation and temperature.

[1]  Yutong Chen,et al.  Spatio-temporal Changes and Frequency Analysis of Drought in the Wei River Basin, China , 2014, Water Resources Management.

[2]  Rao S. Govindaraju,et al.  A copula-based joint deficit index for droughts. , 2010 .

[3]  Martijn Gough Climate change , 2009, Canadian Medical Association Journal.

[4]  János Józsa,et al.  Sediment Flux and Its Environmental Implications , 2014 .

[5]  U. Sommer,et al.  Global warming benefits the small in aquatic ecosystems , 2009, Proceedings of the National Academy of Sciences.

[6]  J. V. Revadekar,et al.  Global observed changes in daily climate extremes of temperature and precipitation , 2006 .

[7]  E. Forgy,et al.  Cluster analysis of multivariate data : efficiency versus interpretability of classifications , 1965 .

[8]  Barry A. Palynchuk,et al.  A probabilistic description of rain storms incorporating peak intensities , 2011 .

[9]  Michael H Schwartz,et al.  Crouch gait patterns defined using k-means cluster analysis are related to underlying clinical pathology. , 2009, Gait & posture.

[10]  Fionn Murtagh,et al.  Cluster Dissection and Analysis: Theory, Fortran Programs, Examples. , 1986 .

[11]  M. Boccolari,et al.  Changes in temperature and precipitation extremes observed in Modena, Italy , 2013 .

[12]  Anne-Catherine Favre,et al.  Bayesian copula selection , 2006, Comput. Stat. Data Anal..

[13]  Yang GaiHe,et al.  The characteristics of precipitation variation of Weihe River Basin in Shaanxi Province during recent 50 years , 2008 .

[14]  O. Edenhofer,et al.  Mitigation from a cross-sectoral perspective , 2007 .

[15]  Meng-ben Wang,et al.  Change trends of temperature and precipitation in the Loess Plateau Region of China, 1961–2010 , 2012 .

[16]  J. D. de Lima,et al.  Recent changes in daily precipitation and surface air temperature extremes in mainland Portugal, in the period 1941-2007 , 2013 .

[17]  Abduwasit Ghulam,et al.  Assessing the impacts of future urban development patterns and climate changes on total suspended sediment loading in surface waters using geoinformatics , 2014 .

[18]  J. Overpeck,et al.  Global Temperature Patterns in Past Centuries: An Interactive Presentation , 2000 .

[19]  B. Soden,et al.  Atmospheric Warming and the Amplification of Precipitation Extremes , 2008, Science.

[20]  Jenq-Tzong Shiau,et al.  Fitting Drought Duration and Severity with Two-Dimensional Copulas , 2006 .

[21]  Miao Bai-qi Analysis of Sub-Prime Loan Crisis Contagion Based on Change Point Testing Method of Copula , 2009 .

[22]  Zhongjing Wang,et al.  Hydrograph-Based Hydrologic Alteration Assessment and Its Application to the Yellow River , 2014 .

[23]  D. Wilks Interannual variability and extreme-value characteristics of several stochastic daily precipitation models , 1999 .

[24]  N. Arnell Climate change and global water resources , 1999 .

[25]  Haibo Du,et al.  Quantitative relationships between precipitation and temperature over Northeast China, 1961–2010 , 2013, Theoretical and Applied Climatology.

[26]  Maliheh Madanian,et al.  Change Detection through Four Techniques Using Multi-Temporal Landsat Thematic Mapper Data: A Case Study on Falavarjan Area, Isfahan, Iran , 2014 .

[27]  Thomas C. Peterson,et al.  Maximum and Minimum Temperature Trends for the Globe , 1997 .

[28]  C. Genest,et al.  Statistical Inference Procedures for Bivariate Archimedean Copulas , 1993 .

[29]  Eric F. Wood,et al.  Detection of Intensification in Global- and Continental-Scale Hydrological Cycles: Temporal Scale of Evaluation , 2003 .

[30]  Mekonnen Gebremichael,et al.  Weighted likelihood copula modeling of extreme rainfall events in Connecticut. , 2010 .

[31]  Shijin Wang,et al.  Spatio-temporal characteristics of temperature and precipitation in Sichuan Province, Southwestern China, 1960–2009 , 2013 .

[32]  H. B. Mann Nonparametric Tests Against Trend , 1945 .

[33]  Kevin E. Trenberth,et al.  Conceptual Framework for Changes of Extremes of the Hydrological Cycle with Climate Change , 1999 .

[34]  Khaled H. Hamed,et al.  A modified Mann-Kendall trend test for autocorrelated data , 1998 .

[35]  Q. Ma,et al.  Changes in extreme events of temperature and precipitation over Xinjiang, northwest China, during 1960–2009 , 2013 .

[36]  C. F. Kossack,et al.  Rank Correlation Methods , 1949 .

[37]  Meilin Wu,et al.  Identification of Spatial and Temporal Patterns of Coastal Waters in Sanya Bay, South China Sea by Chemometrics , 2014 .

[38]  Alexandra da Costa Dias Copula inference for finance and insurance , 2004 .

[39]  J. C. Dunn,et al.  A Fuzzy Relative of the ISODATA Process and Its Use in Detecting Compact Well-Separated Clusters , 1973 .

[40]  Luc Perreault,et al.  The use of geometric and gamma-related distributions for frequency analysis of water deficit , 1992 .

[41]  Yutong Chen,et al.  Spatial-temporal change in precipitation patterns based on the cloud model across the Wei River Basin, China , 2014, Theoretical and Applied Climatology.