Affiliations: [a] Department of Mathematics, Instituto Superior de Engenharia de Lisboa, Lisboa, Portugal | [b] Department of Quantitative Methods, Business School, ISCTE – Lisbon University Institute, Lisboa, Portugal
Correspondence:
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Corresponding author: Ana Alexandra A.F. Martins, Department of Mathematics, Instituto Superior de Engenharia de Lisboa, Rua Conselheiro Emídio Navarro 1, 1950-062 Lisboa, Portugal. Tel.: +351 218317010; Fax: +351 218317009; E-mail: [email protected]
Abstract: In this paper we present a methodology which enables the graphical representation, in a bi-dimensional Euclidean space, of atmospheric pollutants emissions in European countries. This approach relies on the use of Multidimensional Unfolding (MDU), an exploratory multivariate data analysis technique. This technique illustrates both the relationships between the emitted gases and the gases and their geographical origins. The main contribution of this work concerns the evaluation of MDU solutions. We use simulated data to define thresholds for the model fitting measures, allowing the MDU output quality evaluation. The quality assessment of the model adjustment is thus carried out as a step before interpretation of the gas types and geographical origins results. The MDU maps analysis generates useful insights, with an immediate substantive result and enables the formulation of hypotheses for further analysis and modeling.
