Foreword by Edward N. Lorenz |
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xi | |
Preface |
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xiii | |
Acronyms and notions |
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xv | |
List of Plates |
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xvii | |
List of symbols |
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xxi | |
Chapter 1. Introduction |
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1 | |
Chapter 2. Background on Orthogonal Functions and Covariance |
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7 | |
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7 | |
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2.2 Correlation and covariance |
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10 | |
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2.3 Issues about removal of "the mean" |
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12 | |
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13 | |
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Appendix: The anomaly correlation |
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14 | |
Chapter 3. Empirical Wave Propagation |
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17 | |
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18 | |
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18 | |
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18 | |
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3.1.5 EWP forecast method |
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21 | |
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3.3 Rock in the pond experiments |
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25 | |
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3.4 Skill of EWP one-day forecasts |
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28 | |
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30 | |
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3.5.1 Eulerian and Lagrangian persistence |
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30 | |
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3.5.2 Reversing time and targeted observations |
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31 | |
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31 | |
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33 | |
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34 | |
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Appendix 1: EWP formal derivation |
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34 | |
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Appendix 2: The Rossby equation |
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36 | |
Chapter 4. Teleconnections |
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37 | |
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38 | |
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4.2 Two most famous examples in NH |
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38 | |
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4.3 The measure of teleconnection |
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42 | |
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4.4 Finding teleconnections systematically (EOT) |
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44 | |
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47 | |
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4.6 Monitoring, indices and station data |
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50 | |
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51 | |
Chapter 5. Empirical Orthogonal Functions |
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53 | |
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5.1 Methods and definitions |
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54 | |
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54 | |
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5.1.2 The covariance matrix |
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54 | |
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5.1.3 The alternative covariance matrix |
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54 | |
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5.1.4 The covariance matrix: context |
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55 | |
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5.1.5 EOF through eigenanalysis |
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56 | |
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5.1.6 Explained variance (EV) |
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5.3 Simplification of EOF-EOT |
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63 | |
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5.4.1 Summary of procedures and properties |
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66 | |
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69 | |
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5.4.3 Interpretation of EOF |
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70 | |
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5.4.4 Reproducibility (sampling variability) |
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70 | |
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5.4.5 Variations on the EOF theme |
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71 | |
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5.4.8 Common misunderstandings |
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75 | |
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76 | |
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Appendix 1: Post processing |
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76 | |
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77 | |
Chapter 6. Degrees of Freedom |
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79 | |
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6.1 Methods to estimate effective degrees of freedom, N |
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80 | |
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6.3 Link of degrees of freedom to EOF |
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83 | |
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85 | |
Chapter 7. Analogues |
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87 | |
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7.1 Natural analogues (NA) |
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88 | |
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7.1.1 Similarity measures |
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90 | |
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7.1.2 Search for 500 mb height analogues |
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91 | |
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7.1.3 How long do we have to wait? |
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94 | |
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7.1.4 Application of natural analogues |
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96 | |
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7.2 Constructed analogues |
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7.2.2 The method of finding the weights αj |
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99 | |
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7.2.3 Example of the weights |
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100 | |
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7.3 Specification or downscaling |
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102 | |
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7.4 Global seasonal SST forecasts |
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104 | |
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7.5 Short-range forecasts and dispersion experiments |
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108 | |
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7.5.1 Short-range forecasts |
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108 | |
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7.5.2 CA dispersion experiment |
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110 | |
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7.6 Calculating the fastest growing modes by empirical means |
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7.6.3 Discussion of growing modes |
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116 | |
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Appendix: Forecasts with CA |
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117 | |
Chapter 8. Methods in Short-Term Climate Prediction |
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121 | |
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122 | |
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124 | |
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8.3 Optimal climate normals |
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126 | |
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129 | |
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8.5 Non-local regression and ENSO |
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135 | |
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138 | |
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8.7 Regression on the pattern level |
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139 | |
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8.7.1 The time-lagged covariance matrix |
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139 | |
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141 | |
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8.7.3 LIM, POP and Markov |
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145 | |
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146 | |
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147 | |
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149 | |
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151 | |
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Appendix 1: Some practical space–time continuity requirements |
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152 | |
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Appendix 2: Consolidation by ridge regression |
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153 | |
Chapter 9. The Practice of Short-Term Climate Prediction |
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157 | |
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158 | |
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9.2 Lay-out of the forecasts |
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159 | |
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9.3 Time-scales in the seasonal forecast |
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160 | |
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9.4 Which elements are forecast, and by which methods? |
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161 | |
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9.5 Expressing uncertainty |
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163 | |
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9.6 Simplifications of the probability forecast (the three classes) |
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164 | |
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9.7 Format of the forecast |
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167 | |
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9.8 The official forecast |
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169 | |
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9.9 Verification 1: a priori skill and hindcasts |
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170 | |
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9.10 Verification 2: Heidke skill scores |
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173 | |
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175 | |
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9.12 Forecasts of opportunity (and the tension with regularly scheduled operations) |
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176 | |
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Appendix: Historical notes |
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177 | |
Chapter 10. Conclusion |
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179 | |
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180 | |
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10.2 Relative performance GCMs and empirical methods |
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182 | |
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185 | |
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10.4 The future of short-term climate prediction |
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187 | |
References |
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189 | |
Index |
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201 | |