ABSTRACT. Statistical studies that consider multiscale relationships among several variables use wavelet correlations and cross-correlations between pairs of variables. This procedure needs to calculate and compare a large number of wavelet statistics. The analysis can then be rather confusing and even frustrating since it may fail to indicate clearly the multiscale overall relationship that might exist among the variables. This paper presents two new statistical tools that help to determine the overall correlation for the whole multivariate set on a scale-by-scale basis. This is illustrated in the analysis of a multivariate set of daily Eurozone stock market returns during a recent period. Wavelet multiple correlation analysis reveals the existence of a nearly exact linear relationship for periods longer than the year, which can be interpreted as perfect integration of these Euro stock markets at the longest time scales. It also shows that small inconsistencies between Euro markets seem to be just short within-year discrepancies possibly due to the interaction of different agents with different trading horizons. On the other hand, multiple cross-correlation analysis shows that the French CAC40 may lead the rest of the Euro markets at those short time scales.

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This paper shows that cultural identity may have considerable influence on the WTP to protect natural resources. The Basque Country, the region with the highest ethnic homogeneity in Europe, serves as an example to illustrate how important this issue can be in the environmental valuation of natural resources. The rationale for this influence may be found in the deep roots of the Basque culture, a culture where amalurra (mother Earth), i.e. the natural environment, has a central role, as studies from diverse disciplines such as anthropology, psychology and political science have shown.Simulated full distribution of the WTP to protect a Basque natural area using a random parameter logit model reveals that mean marginal WTP to protect its environmental attributes is approximately 60% higher if the cultural identity of the respondent is Basque. To our knowledge, this is the first application to show the influence of cultural identity on the WTP to protect natural resources. Our findings have some methodological and policy implications. On the one hand, failure to take into account cultural identitary issues could result in significantly biased results in benefit transfer applications. On the other hand, policies aimed at conservation natural resources should consider the cultural context in which they will be implemented.

This paper presents an analysis of EU peripheral (so-called PIIGS) stock market indices and the S&P Europe 350 index (SPEURO), as a European benchmark market, over the pre-crisis (2004-2007) and crisis (2008-2011) periods. We computed a rolling-window wavelet correlation for the market returns and applied a non-linear Granger causality test to the wavelet decomposition coefficients of these stock market returns. Our results show that the correlation is stronger for the crisis than for the pre-crisis period. The stock market indices from Portugal, Italy and Spain were more interconnected among themselves during the crisis than with the SPEURO. The stock market from Portugal is the most sensitive and vulnerable PIIGS member, whereas the stock market from Greece tends to move away from the European benchmark market since the 2008 financial crisis till 2011. The non-linear causality test indicates that in the first three wavelet scales (intraweek, weekly and fortnightly) the number of uni-directional and bi-directional causalities is greater during the crisis than in the pre-crisis period, because of financial contagion. Furthermore, the causality analysis shows that the direction of the Granger cause-effect for the pre-crisis and crisis periods is not invariant in the considered timescales , and that the causality directions among the studied stock markets do not seem to have a preferential direction. These results are relevant to better understand the behaviour of vulnerable stock markets, especially for investors and policymakers.

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