FN Archimer Export Format PT J TI The transformed-stationary approach: a generic and simplified methodology for non-stationary extreme value analysis BT AF MENTASCHI, Lorenzo VOUSDOUKAS, Michalis VOUKOUVALAS, Evangelos SARTINI, Ludovica FEYEN, Luc BESIO, Giovanni ALFIERI, Lorenzo AS 1:1,2;2:1,4;3:1;4:2,3;5:1;6:2;7:1; FF 1:;2:;3:;4:PDG-REM-RDT-LCSM;5:;6:;7:; C1 European Commiss, JRC, IES, Climate Risk Management Unit, Via Enrico Fermi 2749, I-21027 Ispra, Italy. Univ Genoa, Dipartimento Ingn Chim Civile & Ambientale, Via Montallegro 1, I-16145 Genoa, Italy. IFREMER, Unite Rech Rech & Dev Technol, Lab Comportement Struct Mer CSM, F-29280 Plouzane, France. Univ Aegean, Dept Marine Sci, Univ Hill, Mitilini 81100, Lesbos, Greece. C2 JRC, ITALY UNIV GENOA, ITALY IFREMER, FRANCE UNIV AEGEAN, GREECE SI BREST SE PDG-REM-RDT-LCSM IN WOS Ifremer jusqu'en 2018 DOAJ copubli-europe IF 4.437 TC 45 UR https://archimer.ifremer.fr/doc/00354/46490/46266.pdf https://archimer.ifremer.fr/doc/00354/46490/47920.pdf LA English DT Article AB Statistical approaches to study extreme events require, by definition, long time series of data. In many scientific disciplines, these series are often subject to variations at different temporal scales that affect the frequency and intensity of their extremes. Therefore, the assumption of stationarity is violated and alternative methods to conventional stationary extreme value analysis (EVA) must be adopted. Using the example of environmental variables subject to climate change, in this study we introduce the transformed-stationary (TS) methodology for non-stationary EVA. This approach consists of (i) transforming a non-stationary time series into a stationary one, to which the stationary EVA theory can be applied, and (ii) reverse transforming the result into a non-stationary extreme value distribution. As a transformation, we propose and discuss a simple time-varying normalization of the signal and show that it enables a comprehensive formulation of non-stationary generalized extreme value (GEV) and generalized Pareto distribution (GPD) models with a constant shape parameter. A validation of the methodology is carried out on time series of significant wave height, residual water level, and river discharge, which show varying degrees of long-term and seasonal variability. The results from the proposed approach are comparable with the results from (a) a stationary EVA on quasi-stationary slices of non-stationary series and (b) the established method for non-stationary EVA. However, the proposed technique comes with advantages in both cases. For example, in contrast to (a), the proposed technique uses the whole time horizon of the series for the estimation of the extremes, allowing for a more accurate estimation of large return levels. Furthermore, with respect to (b), it decouples the detection of non-stationary patterns from the fitting of the extreme value distribution. As a result, the steps of the analysis are simplified and intermediate diagnostics are possible. In particular, the transformation can be carried out by means of simple statistical techniques such as low-pass filters based on the running mean and the standard deviation, and the fitting procedure is a stationary one with a few degrees of freedom and is easy to implement and control. An open-source MAT-LAB toolbox has been developed to cover this methodology, which is available at https://github.com/menta78/tsEva/(Mentaschi et al., 2016). PY 2016 PD SEP SO Hydrology And Earth System Sciences SN 1027-5606 PU Copernicus Gesellschaft Mbh VL 20 IS 8 UT 000383894400001 BP 3527 EP 3547 DI 10.5194/hess-20-3527-2016 ID 46490 ER EF