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The tenth IMSC, Beijing, China, 2007 - International Meetings on ...

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Andrew Moore<br />

Uni. of California at Santa Cruz, USA<br />

In this study, ensemble predicti<strong>on</strong>s were c<strong>on</strong>structed using two realistic ENSO<br />

predicti<strong>on</strong> models and using stochastic optimals. By applying a recently developed theoretical<br />

framework, we have explored several important issues relating to ENSO predictability<br />

including reliability measures of ENSO dynamical predicti<strong>on</strong>s; and the dominant precursors<br />

that c<strong>on</strong>trol reliability. It was found that predicti<strong>on</strong> utility (R), defined by relative entropy, is a<br />

useful measure for the reliability of ENSO dynamical predicti<strong>on</strong>s, such that the larger the value<br />

of R, the more reliable a predicti<strong>on</strong>. <str<strong>on</strong>g>The</str<strong>on</strong>g> predicti<strong>on</strong> utility R c<strong>on</strong>sists of two comp<strong>on</strong>ents, a<br />

dispersi<strong>on</strong> comp<strong>on</strong>ent (DC) associated with the ensemble spread, and a signal comp<strong>on</strong>ent<br />

(SC) determined by the predictive mean signals. Our results show that the predicti<strong>on</strong> utility R is<br />

dominated by SC.<br />

Using a linear stochastic dynamical system, we further examined SC and found it to be<br />

intrinsically related to the leading eigenmode amplitude of the initial c<strong>on</strong>diti<strong>on</strong>s. This finding<br />

was validated by actual model predicti<strong>on</strong> results, and is also c<strong>on</strong>sistent with other recent work.<br />

<str<strong>on</strong>g>The</str<strong>on</strong>g> relati<strong>on</strong>ship between R and SC has particular practical significance for ENSO<br />

predictability studies, since it provides an inexpensive and robust method for exploring<br />

forecast uncertainties without the need for costly ensemble runs.<br />

Comparis<strong>on</strong> of Informati<strong>on</strong>-based Measures of Forecast Uncertainty in Ensemble ENSO<br />

Predicti<strong>on</strong><br />

Speaker: Youmin Tang<br />

Youmin Tang<br />

University of Northern British Columbia, Canada<br />

ytang@unbc.ca<br />

Richard Kleeman<br />

Courant Institute, New York University, USA<br />

Andrew Moore<br />

Uni. of California at Santa Cruz, USA<br />

In this study, we have applied informati<strong>on</strong> theory to investigate the reliability of El Nino<br />

Southern Oscillati<strong>on</strong> (ENSO) predicti<strong>on</strong>s from 1981-1998. Several recently proposed<br />

informati<strong>on</strong>-based measures, including relative entropy (R), predictive informati<strong>on</strong> (PI),<br />

predictive power (PP) and mutual informati<strong>on</strong> (MI), were explored for quantifying predicti<strong>on</strong><br />

reliability. It was found that the MI is a good indicator of overall pedictability. When it is large,<br />

the predicti<strong>on</strong> system has high predictability whereas small MI often corresp<strong>on</strong>ds to a low<br />

83

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