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Correlation of spatial climate/weather maps and the advantages of using the Mahalanobis metric in predictions Cover

Correlation of spatial climate/weather maps and the advantages of using the Mahalanobis metric in predictions

Tellus
Volume 49 (1997): Issue 5
By:   
Open Access
|Jan 1997
References

References

  1. Barnett , T. P. and Preisendorfer , R. W . 1987 . Origins and levels of monthly and seasonal forecast skill for United States surface air temperatures determined by canonical correlation analysis. Mon. Wea. Re v . 115 , 1825 – 1850 .
    Search in Google ScholarBack to article
  2. Barnett , T. P. and Schlesinger , M. E . 1987 . Detecting changes in global climate induced by greenhouse gases . J. Geophys. Res . 92 , 14772 – 14780 .
    Search in Google ScholarBack to article
  3. Bell , T. L . 1982 . Optimal weighting of data to detect climate change: application to the carbon dioxide problem . J. Geophys. Res . 87 , 11161 – 11170 .
    Search in Google ScholarBack to article
  4. Bell , T. L . 1986 . Theory of optimal weighting to detect climate change. J. Atmos. Sc i . 43 , 1694 – 1710 .
    Search in Google ScholarBack to article
  5. Besse , P . 1992 . PCA stability and choice of dimensionality . Statistics and Probability Letters 13 , 405 – 410 .
    Search in Google ScholarBack to article
  6. Bronshtein , I. N. and Semendyayev , K. A . 1985 . Hand-book of mathematics . Van Nostrand Reinhold Company , Inc ., New York .
    Search in Google ScholarBack to article
  7. Chen , W. Y . 1982 . Assessment of Southern Oscillation sea-level pressure indices. Mon. Wea. Re v . 110 , 800 – 807 .
    Search in Google ScholarBack to article
  8. Chu , P. S. and Katz , R. W . 1985 . Modeling and forecasting the Southern Oscillation: A time domain approach. Mon. Wea. Re v . 113 , 1876 – 1888 .
    Search in Google ScholarBack to article
  9. Elliott , W. P. and Angell , J. K . 1988 . Evidence for changes in Southern Oscillation relationships during the last 100 years . J. Climate 1 , 729 – 737 .
    Search in Google ScholarBack to article
  10. Fraedrich , K. , Ziehmann , C. and Sielinann , F . 1995 . Estimates of spatial degrees of freedom . J. Climate 8 , 361 – 369 .
    Search in Google ScholarBack to article
  11. Gutzler , D. S. and Shukla , J . 1984 . Analogs in the wintertime 500 mb height field. J. Atmos. Sc i . 41 , 177 – 189 .
    Search in Google ScholarBack to article
  12. Hasselmann , K . 1976 . Stochastic climate models. Part I: Theory . Tellus 28 , 473 – 485 .
    Search in Google ScholarBack to article
  13. Hasselmann , K . 1993 . Optimal Fingerprints for the Detection of Time-dependent Climate Change . J. Climate 6 , 1957 – 1971 .
    Search in Google ScholarBack to article
  14. Horel , J. D . 1985 . Persistence of the 500 mb height field during Northern Hemisphere Winter. Mon. Wea. Re v . 113 , 2030 – 2042 .
    Search in Google ScholarBack to article
  15. Jolliffe , I. T . 1986 . Principal component analysis . Springer Verlag , New York .
    Search in Google ScholarBack to article
  16. Karoly , D. J. , Cohen , J. A. , Meehl , G. A. , Mitchell , J. F. B. , Oort , A. H. , Stouffer , R. J. and Wetherald , R. T . 1994 . An example of fingerprint detection of greenhouse climate change . Climate Dyn . 10 , 97 – 105 .
    Search in Google ScholarBack to article
  17. Kendall , M. , Stuart , A. and Ord , J. K . 1983 . The advanced theory of statistics , 4th edition . Griffin Press , High Wycombe, UK .
    Search in Google ScholarBack to article
  18. Lorenz , E. N ., 1969 . Atmospheric predictability as revealed by naturally occurring analogues . Tellus 26 , 636 – 646 .
    Search in Google ScholarBack to article
  19. Mardia , K. V . 1970 . Measures of multivariate skewness and kurtosis with applications . Biometrika 57 , 519 – 530 .
    Search in Google ScholarBack to article
  20. Martha , K. V . 1974 . Applications of some measures of multivariate skewness and kurtosis in testing normality and robustness studies . Sankhyā: The Indian Journal of Statistics 36 , 115 – 128 .
    Search in Google ScholarBack to article
  21. Mardia , K. V. , Kent , J. T. and Bibby , J. M . 1979 . Mulitvariate analysis . Academic Press Limited , London .
    Search in Google ScholarBack to article
  22. Marshall , J. and Molteni , F . 1993 . Towards a dynamical understanding of planetary-scale flow regimes. J. Atmos. Sc i . 50 , 1792 – 1818 .
    Search in Google ScholarBack to article
  23. Menke , W . 1989 . Geophysical data analysis: discrete inverse theory . Academic Press , Inc ., San Diego .
    Search in Google ScholarBack to article
  24. Miyakoda , K. , Hembree , G. D. , Strickler , R. F. and Shulman , I . 1972 . Cumulative results of extended forecast experiments (I). Model performance for winter cases. Mon. Wea. Re v . 100 , 836 – 855 .
    Search in Google ScholarBack to article
  25. Palmer , T. N. and Anderson , D. L. T . 1994 . The prospects for seasonal forecasting - A review paper . Quart. J. Roy. Meteor. Soc . 120 , 755 – 793 .
    Search in Google ScholarBack to article
  26. Palmer , T. N. , Gelaro , R. , Barkmeijer , J. and Buizza , R . 1997 . Singular vectors, metrics and adaptive observations . J. Atmos. Sci ., in press .
    Search in Google ScholarBack to article
  27. Pasmanter , R. A ., 1996 . Metric structures of inviscid flows. Chaotic dynamics.
    Search in Google ScholarBack to article
  28. Pearson , E. S. and Hartley , H. O . 1972 . Biometrika tables for statisticians , vol. 2 . Cambridge University Press.
    Search in Google ScholarBack to article
  29. Ropelewski , C. F. and Jones , P. D . 1987 . An extension of the Tahiti-Darwin Southern Oscillation Index. Mon. Wea. Re v . 115 , 2161 – 2165 .
    Search in Google ScholarBack to article
  30. Santer , B. D. , Taylor , K. E. , Wigley , T. M. L. , Penner , J. E. , Jones , P. D. and Cubasch , U . 1995 . Towards the detection and attribution of an anthropogenic effect on climate . Climate Dyn . 12 , 77 – 100 .
    Search in Google ScholarBack to article
  31. Simmons , A. J. , Mureau , R. and Petroliagis , T . 1995 . Error growth and estimates of predictability from the ECMWF forecasting system . Quart. J. Roy. Meteor. Soc . 121 , 1739 – 1771 .
    Search in Google ScholarBack to article
  32. Tett , S. F. B. , Mitchell , J. F. B. , Parker , D. E. and Allen , M . 1996 . Human influence on the atmospheric vertical temperature structure: detection and observations . Science 274 , 1170 – 1173 .
    Search in Google ScholarBack to article
  33. Thacker , W. C . 1996 . Climate fingerprints, patterns, and indices . J. Climate 9 , 2259 – 2261 .
    Search in Google ScholarBack to article
  34. Thacker , W. C. and Lewandowicz , R . 1996 . Climate indices, principal components, and the Gauss-Markov theorem . J. Climate 9 , 1942 – 1958 .
    Search in Google ScholarBack to article
  35. Toth , Z . 1991a . Intercomparison of circulation similarity measures. Mon. Wea. Re v . 119 , 55 – 64 .
    Search in Google ScholarBack to article
  36. Toth , Z . 1991b . Circulation patterns in phase space: a multinormal distribution? Mon. Wea. Re v . 119 , 1501 – 1511 .
    Search in Google ScholarBack to article
  37. Toth , Z . 1993 . Preferred and unpreferred circulation types in the northern hemisphere wintertime phase space. J. Atmos. Sc i . 50 , 2868 – 2888 .
    Search in Google ScholarBack to article
  38. Toth , Z . 1995 . Degrees of freedom in northern hemisphere circulation data . Tellus 47A , 457 – 472 .
    Search in Google ScholarBack to article
  39. Trenberth , K. E ., 1984 . Signal versus noise in the Southern Oscillation. Mon. Wea. Re v . 112 , 326 – 332 .
    Search in Google ScholarBack to article
  40. Trenberth , K. E. and Hoar , T. J . 1996 . The 1990-95 El Niño-Southern Oscillation event: longest on record . Geophys. Res. Lett . 23 , 57 – 60 .
    Search in Google ScholarBack to article
  41. Trenberth , K. E. and Shea , D. J . 1987 . On the evolution of the Southern Oscillation. Mon. Wea. Re v . 115 , 3078 – 3096 .
    Search in Google ScholarBack to article
  42. Van den Dool , H. M . 1994 . Searching for analogues, how long must we wait? Tellus 46A , 314 – 324 .
    Search in Google ScholarBack to article
  43. Van den Dool , H. M. and Chervin , R. M . 1986 . A comparison of month-to-month persistence of anomalies in a general circulation model and in the earth’s atmosphere. J. Atmos. Sc i ., 43 , 1454 – 1466 .
    Search in Google ScholarBack to article
  44. Wallace , J. M. , Cheng , X. and Sun , D . 1991 . Does low-frequency atmospheric variability exhibit regime-like behavior? Tellus 43AB , 16 - 26 .
    Search in Google ScholarBack to article
  45. Wallace , J. M. and Gutzler , D . 1981 . Teleconnections in the geopotential height field during the northern hemisphere winter. Mon. Wea. Re v . 109 , 784 – 812 .
    Search in Google ScholarBack to article
  46. Wright , P. B . 1985 . The Southern Oscillation: An ocean-atmosphere feedback system? Bull. Amer. Meteor. Soc . 66 , 398 – 412 .
    Search in Google ScholarBack to article
  47. Zwiers , F. W . 1987 . Statistical considerations for climate experiments. Part II: Multivariate tests . J. Clim. App. Meteorology 26 , 477 – 487 .
    Search in Google ScholarBack to article
DOI: https://doi.org/10.3402/tellusa.v49i5.14687 | Journal eISSN: 3035-9554
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Language: English
Page range: 513 - 527
Submitted on: Dec 27, 1996
Accepted on: May 16, 1997
Published on: Jan 1, 1997
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 1997 D. B. Stephenson, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 49 (1997): Issue 5
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