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As part of global climate change an accelerated hydrologic cycle (includingan increase in heavy precipitation) is anticipated. So, it is of greatimportance to be able to quantify high-impact hydrologic relationships, forexample, the impact that an extreme precipitation (or temperature) in alocation has on a surrounding region. Building on the Multivariate ExtremeValue Theory we propose a contagion index and a stability index. The contagionindex makes it possible to quantify the effect that an exceedance above a highthreshold can have on a region. The stability index reflects the expectednumber of crossings of a high threshold in a region associated to a specificlocation i, given the occurrence of at least one crossing at that location. Wewill find some relations with well-known extremal dependence measures found inthe literature, which will provide immediate estimators. For these estimatorsan application to the annual maxima precipitation in Portuguese regions ispresented.

Stability and contagion measures for spatial extreme value analyses