Statistical modelling of extreme rainfall in Madeira Island

Extreme rainfall events have triggered a significant number of flash floods in Madeira Island along its past and recent history. Madeira is a volcanic island where the spatial rainfall distribution is strongly affected by its rugged topography. In this thesis, annual maximum of daily rainfall data from 25 rain gauge stations located in Madeira Island were modelled by the generalised extreme value distribution. Also, the hypothesis of a Gumbel distribution was tested by two methods and the existence of a linear trend in both distributions parameters was analysed. Estimates for the 50– and 100–year return levels were also obtained. Still in an univariate context, the assumption that a distribution function belongs to the domain of attraction of an extreme value distribution for monthly maximum rainfall data was tested for the rainy season. The available data was then analysed in order to find the most suitable domain of attraction for the sampled distribution. In a different approach, a search for thresholds was also performed for daily rainfall values through a graphical analysis. In a multivariate context, a study was made on the dependence between extreme rainfall values from the considered stations based on Kendall’s τ measure. This study suggests the influence of factors such as altitude, slope orientation, distance between stations and their proximity of the sea on the spatial distribution of extreme rainfall. Groups of three pairwise associated stations were also obtained and an adjustment was made to a family of extreme value copulas involving the Marshall–Olkin family, whose parameters can be written as a function of Kendall’s τ association measures of the obtained pairs.

WAMM: wiki aided meta modelling

All over the world, organizations are becoming more and more complex, and there’s a need to capture its complexity, so this is when the DEMO methodology (Design and Engineering Methodology for Organizations), created and developed by Jan L. G. Dietz, reaches its potential, which is to capture the structure of business processes in a coherent and consistent form of diagrams with their respective grammatical rules. The creation of WAMM (Wiki Aided Meta Modeling) platform was the main focus of this thesis, and had like principal precursor the idea to create a Meta-Editor that supports semantic data and uses MediaWiki. This prototype Meta-Editor uses MediaWiki as a receptor of data, and uses the ideas created in the Universal Enterprise Adaptive Object Model and the concept of Semantic Web, to create a platform that suits our needs, through Semantic MediaWiki, which helps the computer interconnect information and people in a more comprehensive, giving meaning to the content of the pages. The proposed Meta-Modeling platform allows the specification of the abstract syntax i.e., the grammar, and concrete syntax, e.g., symbols and connectors, of any language, as well as their model types and diagram types. We use the DEMO language as a proofof-concept and example. All such specifications are done in a coherent and formal way by the creation of semantic wiki pages and semantic properties connecting them.