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11 IMSC Session Program<br />

Memory in climate and things not to be forgotten<br />

Wednesday - Plenary Session 10<br />

Demetris Koutsoyiannis<br />

Department of Water Resources and Environmental Engineering, Faculty of Civil<br />

Engineering, National Technical University of Athens, Zographou, Greece<br />

Forgetting some fundamental issues related to climate may have detrimental effects in<br />

its research. A first issue that need not be forgotten is the fact that the very notion of<br />

climate relies on statistics. For example, according to a popular definition (U.S.<br />

Global Change Research Program: Climate Literacy, The Essential Principles of<br />

Climate Sciences, 2009), climate is the long-term average of conditions in the<br />

atmosphere, ocean, and ice sheets and sea ice described by statistics, such as means<br />

and extremes. In turn, long-term average conditions cannot be assessed correctly if<br />

inappropriate statistical models and assumptions are used. For example, statistical<br />

methods commonly used in climate research are based on the classical statistical<br />

paradigm that assumes independence of processes in time, or on the slightly modified<br />

model of Markovian dependence. However, substantial evidence has been<br />

accumulated from long time series, observed or proxy, that climate is characterized by<br />

long-term persistence, also known as long memory or long-range dependence. Such<br />

behaviour needs to be described by processes of Hurst-Kolmogorov type, rather than<br />

by independent or Markovian processes. Consequently, it should be remembered that<br />

the Hurst-Kolmogorov dynamics implies dramatically higher uncertainty of statistical<br />

parameters of location and high negative bias of statistical parameters of dispersion. It<br />

also implies change at all scales, thus contradicting the misperception of a static<br />

climate and making redundant the overly used term “climate change”. The<br />

fundamental mathematical properties of Hurst-Kolmogorov processes is another issue<br />

that must not be forgotten, in order to avoid incorrect or misleading results about<br />

climate.<br />

Abstracts 160

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