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

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Nati<strong>on</strong>al Center for Atmospheric Research<br />

<str<strong>on</strong>g>The</str<strong>on</strong>g> short instrumental record of about 100-150 years forces us to use proxy indicators<br />

to study climate over l<strong>on</strong>g time scales. <str<strong>on</strong>g>The</str<strong>on</strong>g> climate informati<strong>on</strong> in these indirect data is<br />

embedded in c<strong>on</strong>siderable noise, and the past temperature rec<strong>on</strong>structi<strong>on</strong>s are therefore full of<br />

uncertainty, which blurs the understanding of the temperature evoluti<strong>on</strong>. To date, the<br />

characterizati<strong>on</strong> and quantificati<strong>on</strong> of uncertainty have not been a high priority in<br />

rec<strong>on</strong>structi<strong>on</strong> procedures. Here we propose a new statistical methodology to explicitly<br />

account for three types of uncertainties in the rec<strong>on</strong>structi<strong>on</strong> process. Via ensemble<br />

rec<strong>on</strong>structi<strong>on</strong>, we directly obtain the distributi<strong>on</strong> of decadal maximum as well as annual<br />

maximum. Our method is an integrati<strong>on</strong> of linear regressi<strong>on</strong>, bootstraping and cross-validati<strong>on</strong><br />

techniques, and it 1) accounts for the effects of temporal correlati<strong>on</strong> of temperature; 2)<br />

identifies the variability of the estimated statistical model; and 3) adjusts the effects of potential<br />

overfitting. We apply our method to the Northern Hemisphere (NH) average temperature<br />

rec<strong>on</strong>structi<strong>on</strong>. Our results indicate that the recent decadal temperature increase is rapidly<br />

overwhelming previous maxima, even with uncertainty taken into account, and the last decade<br />

is highly likely to be the warmest in the last millennium.<br />

Dec<strong>on</strong>structing Rec<strong>on</strong>structi<strong>on</strong><br />

Speaker: Matthew R. Schofield<br />

Matthew R. Schofield<br />

University of Otago<br />

Richard J. Barker<br />

University of Otago<br />

<str<strong>on</strong>g>The</str<strong>on</strong>g> study of climatological data is inhibited by the availability of data. Inference about<br />

the climate over the past hundreds or thousands of years cannot be based <strong>on</strong> direct<br />

observati<strong>on</strong>s, which are <strong>on</strong>ly available for the past century or two. To obviate this problem<br />

proxies with many more observati<strong>on</strong>s, such as isotopes, tree rings and ice cores are used to<br />

predict the past climate.<br />

Using tree rings as an example, we stress the importance of modeling the unobserved<br />

climate process in terms of a selecti<strong>on</strong> of scientifically driven pre-specified models. <str<strong>on</strong>g>The</str<strong>on</strong>g><br />

methods we suggest allow all uncertainty to be explicitly included in the model, which may<br />

substantially effect the c<strong>on</strong>clusi<strong>on</strong>s obtained. If time permits, an example will be given.<br />

60

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