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11 IMSC Session Program<br />

Comparisons of extreme parameter estimation between<br />

observed and modelled data, and implications for future<br />

projections<br />

Friday - Poster Session 7<br />

Sarah E. Perkins<br />

CSIRO Marine and Atmospheric Research, Melbourne, Victoria, Australia<br />

Extreme value theory in terms of the Generalized Extreme Value (GEV) distribution<br />

has been used comprehensively to estimate climatic extremes at the global and<br />

continental scale using both global climate model (GCM) and observed daily datasets<br />

(Wehner, 2004; Schaeffer et al., 2005; Kharin et al., 2007; Coelho et al., 2008;<br />

Rusticucci and Tencer, 2008; Perkins et al., 2009). Fitting an extreme value<br />

distribution such as the GEV to future projections by GCMs gives an indication as to<br />

how the frequency and magnitude of extreme events may change in the future, which<br />

is imperative to adaptation studies and policy. Evaluating GCMs on their ability to<br />

simulate observed extreme events is therefore warranted to give some level of<br />

confidence of their future reliability (Perkins and Pitman 2009, Perkins et al., 2009).<br />

To explore this idea, Perkins et al. (2009) modified the evaluation metric introduced<br />

by Perkins et al. (2007) to examine the difference in the daily observed and modeled<br />

Probability Density Function (PDF) tail. This metric uses an arbitrary threshold of the<br />

95 th (5 th ) percentile of the observed maximum (minimum) temperature PDF. This<br />

metric therefore always includes at least observational data which is superfluous when<br />

fitting the GEV, and does not quantify the difference in observed and modeled<br />

extremes if the tails do not overlap in the prescribed range. A new question<br />

consequently arose; how well do GCMs replicate the observed GEV parameters?<br />

This study will compare by ratios each of the observed and modeled GEV parameters<br />

(the location, scale and shape) estimated by the method of L-moments for minimum<br />

temperature, maximum temperature and precipitation. Models evaluated include<br />

CMIP3 models with daily data for the climate of the 20 th century simulation and are<br />

compared to the Australian Bureau of Meteorology observational dataset for a number<br />

of regions over Australia defined by Perkins et al. (2007). The use of these regions<br />

will allow for an evaluation of the GCMs over various climatic types.<br />

Although somewhat simplistic, calculating the observed to modeled ratio of each<br />

GEV parameter quantitatively informs us whether the model is under or over<br />

approximating the distribution and by how much (i.e. the model bias), and is not just<br />

focused on the return levels which are the end product of fitting the GEV. Further, the<br />

resulting ratios may be used in future scenarios to obtain extreme value projections<br />

which may be more realistic than the actual GCM projections, assuming that the<br />

relationship between the model and observations is consistent throughout time. This is<br />

demonstrated by scaling the model-estimated GEV parameters by their respective<br />

ratios for the SRES A2 scenario and comparing the consequential return values from<br />

the scaled and non-scaled data.<br />

Abstracts 321

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