Compositional analysis of bivariate discrete probabilities

A joint distribution of two discrete random variables with finite support can be displayed as a two way table of probabilities adding to one. Assume that this table has n rows and m columns and all probabilities are non-null. This kind of table can be seen as an element in the simplex of n · m parts. In this context, the marginals are identified as compositional amalgams, conditionals (rows or columns) as subcompositions. Also, simplicial perturbation appears as Bayes theorem. However, the Euclidean elements of the Aitchison geometry of the simplex can also be translated into the table of probabilities: subspaces, orthogonal projections, distances. Two important questions are addressed: a) given a table of probabilities, which is the nearest independent table to the initial one? b) which is the largest orthogonal projection of a row onto a column? or, equivalently, which is the information in a row explained by a column, thus explaining the interaction? To answer these questions three orthogonal decompositions are presented: (1) by columns and a row-wise geometric marginal, (2) by rows and a columnwise geometric marginal, (3) by independent two-way tables and fully dependent tables representing row-column interaction. An important result is that the nearest independent table is the product of the two (row and column)-wise geometric marginal tables. A corollary is that, in an independent table, the geometric marginals conform with the traditional (arithmetic) marginals. These decompositions can be compared with standard log-linear models. Key words: balance, compositional data, simplex, Aitchison geometry, composition, orthonormal basis, arithmetic and geometric marginals, amalgam, dependence measure, contingency table

Prediction of the bulking phenomenon in wastewater treatment plants

The control and prediction of wastewater treatment plants poses an important goal: to avoid breaking the environmental balance by always keeping the system in stable operating conditions. It is known that qualitative information — coming from microscopic examinations and subjective remarks — has a deep influence on the activated sludge process. In particular, on the total amount of effluent suspended solids, one of the measures of overall plant performance. The search for an input–output model of this variable and the prediction of sudden increases (bulking episodes) is thus a central concern to ensure the fulfillment of current discharge limitations. Unfortunately, the strong interrelation between variables, their heterogeneity and the very high amount of missing information makes the use of traditional techniques difficult, or even impossible. Through the combined use of several methods — rough set theory and artificial neural networks, mainly — reasonable prediction models are found, which also serve to show the different importance of variables and provide insight into the process dynamics

La mujer y la geografia universitaria española

This article lies within the sphere of studies initiated recently in various social sciences and which aim to introduce women's problems as an element of analysis, or in other words, the gender perspective. In the field of geography, the earliest contributions of this nature were made in English-speaking countries. It is only in the 1980s that similar contributions begin to appear in Spanish geography, albeit sporadically . In the first part of this article, an analysis is made of the presence of women geographers in Spanish universities, based on a questionnaire submitted to twenty-six departments of geography. The questionnaires provide information on the age, sex and marital status of women staff, and other relevant facts. It becomes evident that women lecturers are in the minority in Spanish university Geography Departments, especially in the top posts, although the percentage compares favourably with English-speaking countries. The second part of the article consists of a study of the written contributions of women geographers through the analysis of the various geographical magazines published by geography departments and other related bodies. The author reaches the conclusion that the percentage of articles written by women geographers is even lower than the corresponding percentage of staff members. Especially noteworthy is the very limited number of articles in the fields of physical geography and geographical theory, in contrast to a certain tendency to publish studies on, for example, population or urban topics with a highly restricted territorial scope

Selenium cycling in volcanic environments: the role of soils as reactive interfaces

Selenium (Se) is an element with important health implications that is emitted in significant amounts from volcanoes. Attracted by the fertility of volcanic soils, around 10% of the world population lives within 100 km of an active volcano. Nevertheless, the behaviour of Se in volcanic environments is poorly understood. Therefore, the main aim of this thesis is to investigate the role of soils in the Se cycling in volcanic environments. Prior to the geochemical studies, precise and accurate methods for the determination of Se contents, speciation and isotopic signatures were developed. Afterwards, a combination of field studies and lab controlled experiments were performed with soils from two contrasting European volcanic settings: Mount Etna in Sicily (Italy) and Mount Teide in Tenerife (Spain). The results showed a strong link between Se behaviour and soil development, indicating that Se mobility in volcanic soils is controlled by sorption processes and soil mineralogy.

El programa iconogràfic de l'Attideion del Campo della Magna Matter a Ostia

L'objectiu d'aquesta tesi és l'estudi de tot un seguit d'escultures votives trobades dins el santuari de Cibele de Ostia, descobert a finals del segle passat i excavat amb extensió just abans de la Segona Guerra Mundial. Tanmateix, el nostre objectiu no era el de presentar, únicament, un catàleg de l'estatuària sinó, especialment, la seva funció i relació dins el santuari com un element a considerar per a l'estudi del culte a Cibele i més concretament a Atis.