FN Archimer Export Format PT J TI Analysing multiple time series and extending significance testing in wavelet analysis BT AF ROUYER, Tristan FROMENTIN, Jean-Marc STENSETH, N CAZELLES, B AS 1:1,2;2:1;3:2,3;4:4,5; FF 1:PDG-DOP-DCM-HMT-RHSETE;2:PDG-DOP-DCM-HMT-RHSETE;3:;4:; C1 IFREMER, Ctr Rech Halieut Mediterraneenne & Trop, F-34203 Sete, France. Univ Oslo, Dept Biol, Ctr Ecol & Evolut Synth, N-0316 Oslo, Norway. Inst Marine Res, Dept Coastal Zone Studies, Flodevigen Res Stn, N-4817 His, Norway. Ecole Normale Super, CNRS, UMR 7625, F-75230 Paris 05, France. GEODES Ctr IRD Ile France, IRD, UR 079, F-93143 Bondy, France. C2 IFREMER, FRANCE UNIV OSLO, NORWAY INST MAR RES, NORWAY ENS, FRANCE IRD, FRANCE SI SETE SE PDG-DOP-DCM-HMT-RHSETE IN WOS Ifremer jusqu'en 2018 copubli-france copubli-p187 copubli-europe IF 2.631 TC 75 UR https://archimer.ifremer.fr/doc/2008/publication-4291.pdf LA English DT Article DE ;Maximum covariance analysis;Surrogates;Wavelet significance testing;Wavelet clustering;Multivariate time series;Non stationarity AB In nature, non-stationarity is rather typical, but the number of statistical tools allowing for non-stationarity remains rather limited. Wavelet analysis is such a tool allowing for non-stationarity but the lack of an appropriate test for statistical inference as well as the difficulty to deal with multiple time series are 2 important shortcomings that limits its use in ecology. We present 2 approaches to deal with these shortcomings. First, we used 1/f beta models to test cycles in the wavelet spectrum against a null hypothesis that takes into account the highly autocorrelated nature of ecological time series. To illustrate the approach, we investigated the fluctuations in bluefin tuna trap catches with a set of different null models. The 1/f beta models approach proved to be the most consistent to discriminate significant cycles. Second, we used the maximum covariance analysis to compare, in a quantitative way, the time-frequency patterns (i.e. the wavelet spectra) of numerous time series. This approach built cluster trees that grouped the wavelet spectra according to their time-frequency patterns. Controlled signals and time series of sea surface temperature (SST) in the Mediterranean Sea were used to test the ability and power of this approach. The results were satisfactory and clusters on the SST time series displayed a hierarchical division of the Mediterranean into a few homogeneous areas that are known to display different hydrological and oceanic patterns. We discuss the limits and potentialities of these methods to study the associations between ecological and environmental fluctuations. PY 2008 PD APR SO Marine Ecology Progress Series SN 0171-8630 PU Inter-Research VL 359 UT 000256338000002 BP 11 EP 23 DI 10.3354/meps07330 ID 4291 ER EF