Meaning of the λ parameter of skew–normal and log–skew normal distributions in fluid geochemistry

The literature related to skew–normal distributions has grown rapidly in recent yearsbut at the moment few applications concern the description of natural phenomena withthis type of probability models, as well as the interpretation of their parameters. Theskew–normal distributions family represents an extension of the normal family to whicha parameter (λ) has been added to regulate the skewness. The development of this theoreticalfield has followed the general tendency in Statistics towards more flexible methodsto represent features of the data, as adequately as possible, and to reduce unrealisticassumptions as the normality that underlies most methods of univariate and multivariateanalysis. In this paper an investigation on the shape of the frequency distribution of thelogratio ln(Cl−/Na+) whose components are related to waters composition for 26 wells,has been performed. Samples have been collected around the active center of Vulcanoisland (Aeolian archipelago, southern Italy) from 1977 up to now at time intervals ofabout six months. Data of the logratio have been tentatively modeled by evaluating theperformance of the skew–normal model for each well. Values of the λ parameter havebeen compared by considering temperature and spatial position of the sampling points.Preliminary results indicate that changes in λ values can be related to the nature ofenvironmental processes affecting the data

Thermodynamics and log–contrast analysis in fluid geochemistry

There are two principal chemical concepts that are important for studying the naturalenvironment. The first one is thermodynamics, which describes whether a system is atequilibrium or can spontaneously change by chemical reactions. The second main conceptis how fast chemical reactions (kinetics or rate of chemical change) take place wheneverthey start. In this work we examine a natural system in which both thermodynamics andkinetic factors are important in determining the abundance of NH+4 , NO−2 and NO−3 insuperficial waters. Samples were collected in the Arno Basin (Tuscany, Italy), a system inwhich natural and antrophic effects both contribute to highly modify the chemical compositionof water. Thermodynamical modelling based on the reduction-oxidation reactionsinvolving the passage NH+4 -& NO−2 -& NO−3 in equilibrium conditions has allowed todetermine the Eh redox potential values able to characterise the state of each sample and,consequently, of the fluid environment from which it was drawn. Just as pH expressesthe concentration of H+ in solution, redox potential is used to express the tendency of anenvironment to receive or supply electrons. In this context, oxic environments, as thoseof river systems, are said to have a high redox potential because O2 is available as anelectron acceptor.Principles of thermodynamics and chemical kinetics allow to obtain a model that oftendoes not completely describe the reality of natural systems. Chemical reactions may indeedfail to achieve equilibrium because the products escape from the site of the rectionor because reactions involving the trasformation are very slow, so that non-equilibriumconditions exist for long periods. Moreover, reaction rates can be sensitive to poorly understoodcatalytic effects or to surface effects, while variables as concentration (a largenumber of chemical species can coexist and interact concurrently), temperature and pressurecan have large gradients in natural systems. By taking into account this, data of 91water samples have been modelled by using statistical methodologies for compositionaldata. The application of log–contrast analysis has allowed to obtain statistical parametersto be correlated with the calculated Eh values. In this way, natural conditions in whichchemical equilibrium is hypothesised, as well as underlying fast reactions, are comparedwith those described by a stochastic approach

De Heródoto a Lope : nota a El mejor alcade, el rey

Article sobre les al·lusions i anècdotes tradicionals que fa servir Lópe de Vega a les seves obres. Concretament es tracta un episodi del llibre El mejor alcalde, el rey

A Log-linear model of grain size influence on the geochemistry of sediments

Sediment composition is mainly controlled by the nature of the source rock(s), and chemical (weathering) and physical processes (mechanical crushing, abrasion, hydrodynamic sorting) during alteration and transport. Although the factors controlling these processes are conceptually well understood, detailed quantification of compositional changes induced by a single process are rare, as are examples where the effects of several processes can be distinguished. The present study was designed to characterize the role of mechanical crushing and sorting in the absence of chemical weathering. Twenty sediment samples were taken from Alpine glaciers that erode almost pure granitoid lithologies. For each sample, 11 grain-size fractions from granules to clay (ø grades &-1 to &9) were separated, and each fraction was analysed for its chemical composition.The presence of clear steps in the box-plots of all parts (in adequate ilr and clr scales) against ø is assumed to be explained by typical crystal size ranges for the relevant mineral phases. These scatter plots and the biplot suggest a splitting of the full grain size range into three groups: coarser than ø=4 (comparatively rich in SiO2, Na2O, K2O, Al2O3, and dominated by “felsic” minerals like quartz and feldspar), finer than ø=8 (comparatively rich in TiO2, MnO, MgO, Fe2O3, mostly related to “mafic” sheet silicates like biotite and chlorite), and intermediate grains sizes (4≤ø &8; comparatively rich in P2O5 and CaO, related to apatite, some feldspar).To further test the absence of chemical weathering, the observed compositions were regressed against three explanatory variables: a trend on grain size in ø scale, a step function for ø≥4, and another for ø≥8. The original hypothesis was that the trend could be identified with weathering effects, whereas each step function would highlight those minerals with biggest characteristic size at its lower end. Results suggest that this assumption is reasonable for the step function, but that besides weathering some other factors (different mechanical behavior of minerals) have also an important contribution to the trend.Key words: sediment, geochemistry, grain size, regression, step function

Anàlisi del projecte d’innovació en l’àrea de matemàtiques a la comunitat educativa Creciendo juntos: Parque Paso del Rey, Moreno, Argentina

Resum de les pràctiques desenvolupades l’estiu de 2007 a l’escola Creciendo Juntos, situada a Parque Paso del Rey de Moreno, una ciutat de la perifèria de Buenos Aires, Argentina. Es basa principalment en l’anàlisi d’un projecte d’innovació en l’àrea de matemàtiques què realitzava l’escola

Monitoring procedures in environmental geochemistry and compositional data analysis theory

First discussion on compositional data analysis is attributable to Karl Pearson, in 1897. However, notwithstanding the recent developments on algebraic structure of the simplex, more than twenty years after Aitchison’s idea of log-transformations of closed data, scientific literature is again full of statistical treatments of this type of data by using traditional methodologies. This is particularly true in environmental geochemistry where besides the problem of the closure, the spatial structure (dependence) of the data have to be considered. In this work we propose the use of log-contrast values, obtained by asimplicial principal component analysis, as LQGLFDWRUV of given environmental conditions. The investigation of the log-constrast frequency distributions allows pointing out the statistical laws able togenerate the values and to govern their variability. The changes, if compared, for example, with the mean values of the random variables assumed as models, or other reference parameters, allow definingmonitors to be used to assess the extent of possible environmental contamination. Case study on running and ground waters from Chiavenna Valley (Northern Italy) by using Na+, K+, Ca2+, Mg2+, HCO3-, SO4 2- and Cl- concentrations will be illustrated

Federico II de Prusia : el rey flautista

En un momento histórico en el que las tendencias musicales en Europa estaban a medio camino entre el Barroco y el Clasicismo, confluyeron en la corte de Federico el Grande una serie de músicos que trabajaron para el rey prusiano y que compusieron una gran cantidad de música para flauta, instrumento que él tocaba. La actividad musical del Berlín de esos años se convirtió así en relevante para el mundo flautístico. Profundizaremos en este trabajo en la figura del monarca, en la relación de éste con sus músicos y en las características principales de la música de la segunda mitad del siglo XVIII.

La ley orgánica por la que se hace efectiva la abdicación del rey: ¿era la única opción?

La abdicación del Jefe del Estado es el acto que inicia la sucesión, siendo la proclamación del nuevo rey el que la culmina. La intervención de las Cortes queda, entonces, garantizada si se hubiera optado por un acto complejo en el que el rey solemniza su decisión de abdicar ante las Cortes Generales, reunidas en sesión conjunta y acto seguido el príncipe se proclama como jefe del Estado ante las cámaras y procede a realizar el juramento que le exige la Constitución. La sucesión, que es el acto relevante para el Estado, se inicia y se culmina en el Parlamento. Lo que debiera haber solucionado esa ley orgánica es cómo se traduce jurídicamente esta formalización, así como los requisitos a cumplir para su validez legal.

La ley orgánica por la que se hace efectiva la abdicación del rey: ¿era la única opción?

La abdicación del Jefe del Estado es el acto que inicia la sucesión, siendo la proclamación del nuevo rey el que la culmina. La intervención de las Cortes queda, entonces, garantizada si se hubiera optado por un acto complejo en el que el rey solemniza su decisión de abdicar ante las Cortes Generales, reunidas en sesión conjunta y acto seguido el príncipe se proclama como jefe del Estado ante las cámaras y procede a realizar el juramento que le exige la Constitución. La sucesión, que es el acto relevante para el Estado, se inicia y se culmina en el Parlamento. Lo que debiera haber solucionado esa ley orgánica es cómo se traduce jurídicamente esta formalización, así como los requisitos a cumplir para su validez legal.

A vueltas con la Crónica del rey don Rodrigo

The paper discusses the problem of the literary genre of the Crónica sarracina from a peninsular and european points of view. It is considerer through the prism of a new kind of fiction, related to history and an incipient realism, which grows up along the 15th century. Moreover, it reveals new fragments inspired by Pedro de Corral from the catalan version of Seneca’s tragedies and from the Libro de los doce sabios