19The complexity, predictability and predictive instability of the Western Mediterranean 20 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 The contents of the paper include a description of the WeMOi, its cumulative distribution 72 (Section 2), monofractal properties (Section 3) and multifractal characteristics derived from 73 the multifractal detrended fluctuaction analysis, MF-DFA, which is also succinctly described 74 (Section 4). A comparison of the mono-and multifractal properties for the WeMO, NAO and 75 AMO indices, and the validity of fGn series to simulate the WeMOi are presented in Section 5. 76Section 6 introduces results derived from the ARIMA process and the Conclusions Section 77 outlines the main WeMOi fractal features and reviews the autoregressive prediction results. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 P e e r R e v i e w O n l y
The monthly Western Mediterranean Oscillation index, WeMOi 82The WeMOi was proposed by Martín-Vide and López-Bustins (2006) to detect atmospheric 83 circulation patterns related to rainfall shortage or excess affecting the eastern Iberian 84Peninsula López-Bustins et al., 2008; Gonzalez-Hidalgo et al., 2009), 85 being also used in other regional climatic applications (Azorín-Molina and Lopez-Bustins, 2008; 86 Sánchez-Lorenzo et al., 2009;Vicente-Serrano et al., 2009;Ouachani et al., 2013; El Kenawy et 87 al., 2013;Beranová and Kyselý, 2015;Ríos-Cornejo et al., 2015). (Figure 1b), strongly suggests that this decreasing tendency could be mainly 107 linked to the behaviour of WeMOi at spring and summer seasons. The cumulative distribution 108 of WeMOi (Figure 2) is Gaussian, the observations being kept within the 95% confidence bands 109 derived from the Kolmogorov-Smirnov test (Benjamin and Cornell, 1970;Press et al., 1992). 110 Figure 3 represents WeMOi for several return periods, given in months, compared with 111 theoretic return values for a Gaussian distribution. Empiric values are also quite well described 112 by a logarithmic law, by taking as argument the return period (months). Taking into account 113 the symmetry of the Gaussian distribution, similar results would be obtained for negative 114
WeMOi. 115 116On the other hand, it is well known that the Mediterranean climate is submitted to the NAO 117 (Trigo et al., 2002;Lionello et al., 2006; López-Moreno et al., 2011) region, NAO plays a significant role on decadal variance in precipitation, especially...