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Activity Number: 321
Type: Topic Contributed
Date/Time: Tuesday, July 31, 2007 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics and the Environment
Abstract - #309305
Title: The Uncertain Hockey Stick: A Statistical Perspective on the Reconstruction of Past Temperatures
Author(s): Douglas Nychka*+
Companies: National Center for Atmospheric Research
Address: Box 3000, Boulder, CO, 80307-3000,
Keywords: Hockey Stick ; uncertainty ; ensembles ; NH temperature
Abstract:

A reconstruction of past temperatures based on proxies is inherently a statistical process and a deliberate statistical model for the reconstruction can also provide companion measures of uncertainty. we suggest a framework where the reconstruction is expressed as a conditional distribution of the temperatures given the proxies. Random draws from this distribution provide an ensemble of reconstructions where the spread among ensemble members is a valid statistical measure of uncertainty. This approach is illustrated for Northern Hemisphere temperatures and the multi-proxy data used by Mann, Bradley and Hughes (1999). Here we explore the scope of the statistical assumptions needed to carry through a rigorous analysis and use Monte Carlo sampling to determine the uncertainty in maxima or other complicated statistics in the reconstructed series.


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Revised September, 2007