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11 IMSC Session Program<br />

A change point approach for applications to atmospheric<br />

carbon dioxide time series<br />

Tuesday - Parallel Session 8<br />

Claudie Beaulieu and Jorge L. Sarmiento<br />

Atmospheric and Oceanic Sciences, Princeton University, Princeton, USA<br />

Long-term changes in climate variables can exhibit step-like changes in the mean, in<br />

the variance and/or in the trend. Change point methods allow detecting and<br />

quantifying these changes. Change point methods have been used in atmospheric and<br />

oceanic sciences to detect artificial or natural discontinuities and regime shifts.<br />

Most change point approaches were designed to detect a specific type of shift (e.g.<br />

either a change in the mean, in the variance or in the parameters of a regression<br />

model, but rarely a combination of several types of changes at the same times).<br />

Furthermore, most change point methods rely on the independence hypothesis while<br />

the presence of autocorrelation is a common feature of climate time series (especially<br />

at the short time scales). A positive autocorrelation can lead to the detection of false<br />

shifts if it is not taken into account in the analysis. Recently, several studies have<br />

started to take into account the autocorrelation in change point detection by assuming<br />

that it can be represented by a lag-1 autoregressive model (AR(1)). The<br />

autocorrelation structure in climate time series can be more complex that that.<br />

In this work, the informational approach is used to discriminate between several types<br />

of changes (shift in the mean, shift in the variance, shift in the trend, shift in the<br />

relation with a covariable or a combination of these different types of changes) though<br />

the application of a hierarchy of models. The informational approach is also used to<br />

identify the auto correlation structure in each models (not restricted only to an AR(1))<br />

and it is taken into account in the change point analysis. The usefulness of this<br />

approach to detect change points in atmospheric CO2 concentration, in the growth rate<br />

of atmospheric CO2 and in the sources and sinks of atmospheric CO2 is demonstrated<br />

through applications.<br />

Abstracts 156

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