Application of discriminant function analysis and change-point problem in dating volcanic ashes

The application of Discriminant function analysis (DFA) is not a new idea in the studyof tephrochrology. In this paper, DFA is applied to compositional datasets of twodifferent types of tephras from Mountain Ruapehu in New Zealand and MountainRainier in USA. The canonical variables from the analysis are further investigated witha statistical methodology of change-point problems in order to gain a betterunderstanding of the change in compositional pattern over time. Finally, a special caseof segmented regression has been proposed to model both the time of change and thechange in pattern. This model can be used to estimate the age for the unknown tephrasusing Bayesian statistical calibration

Statistical Analysis of Eco-Toxicologic Data of Mammals from a Polluted Area

Several eco-toxicological studies have shown that insectivorous mammals, due to theirfeeding habits, easily accumulate high amounts of pollutants in relation to other mammal species. To assess the bio-accumulation levels of toxic metals and their in°uenceon essential metals, we quantified the concentration of 19 elements (Ca, K, Fe, B, P,S, Na, Al, Zn, Ba, Rb, Sr, Cu, Mn, Hg, Cd, Mo, Cr and Pb) in bones of 105 greaterwhite-toothed shrews (Crocidura russula) from a polluted (Ebro Delta) and a control(Medas Islands) area. Since chemical contents of a bio-indicator are mainly compositional data, conventional statistical analyses currently used in eco-toxicology can givemisleading results. Therefore, to improve the interpretation of the data obtained, weused statistical techniques for compositional data analysis to define groups of metalsand to evaluate the relationships between them, from an inter-population viewpoint.Hypothesis testing on the adequate balance-coordinates allow us to confirm intuitionbased hypothesis and some previous results. The main statistical goal was to test equalmeans of balance-coordinates for the two defined populations. After checking normality,one-way ANOVA or Mann-Whitney tests were carried out for the inter-group balances

An alternative method for dating unknown tephras based on a segmented regression model

In CoDaWork’05, we presented an application of discriminant function analysis (DFA) to 4 differentcompositional datasets and modelled the first canonical variable using a segmented regression modelsolely based on an observation about the scatter plots. In this paper, multiple linear regressions areapplied to different datasets to confirm the validity of our proposed model. In addition to dating theunknown tephras by calibration as discussed previously, another method of mapping the unknown tephrasinto samples of the reference set or missing samples in between consecutive reference samples isproposed. The application of these methodologies is demonstrated with both simulated and real datasets.This new proposed methodology provides an alternative, more acceptable approach for geologists as theirfocus is on mapping the unknown tephra with relevant eruptive events rather than estimating the age ofunknown tephra.Kew words: Tephrochronology; Segmented regression

Grain size analyses in tin-lead glazes based on 2d-sections

A problem in the archaeometric classification of Catalan Renaissance pottery is the fact, thatthe clay supply of the pottery workshops was centrally organized by guilds, and thereforeusually all potters of a single production centre produced chemically similar ceramics.However, analysing the glazes of the ware usually a large number of inclusions in the glaze isfound, which reveal technological differences between single workshops. These inclusionshave been used by the potters in order to opacify the transparent glaze and to achieve a whitebackground for further decoration.In order to distinguish different technological preparation procedures of the single workshops,at a Scanning Electron Microscope the chemical composition of those inclusions as well astheir size in the two-dimensional cut is recorded. Based on the latter, a frequency distributionof the apparent diameters is estimated for each sample and type of inclusion.Following an approach by S.D. Wicksell (1925), it is principally possible to transform thedistributions of the apparent 2D-diameters back to those of the true three-dimensional bodies.The applicability of this approach and its practical problems are examined using differentways of kernel density estimation and Monte-Carlo tests of the methodology. Finally, it istested in how far the obtained frequency distributions can be used to classify the pottery

The chemical variability at the surface of Mars: implications for exogenic processes

The chemical composition of sediments and rocks, as well as their distribution at theMartian surface, represent a long term archive of processes, which have formed theplanetary surface. A survey of chemical compositions by means of Compositional DataAnalysis represents a valuable tool to extract direct evidence for weathering processesand allows to quantify weathering and sedimentation rates. clr-biplot techniques areapplied for visualization of chemical relationships across the surface (“chemical maps”).The variability among individual suites of data is further analyzed by means of clr-PCA,in order to extract chemical alteration vectors between fresh rocks and their crusts andfor an assessment of different source reservoirs accessible to soil formation. Bothtechniques are applied to elucidate the influence of remote weathering by combinedanalysis of several soil forming branches. Vector analysis in the Simplex provides theopportunity to study atmosphere surface interactions, including the role andcomposition of volcanic gases

Statistical evidences of cyclic changes in volcanic gas chemistry composition by inverse modelling

The identification of compositional changes in fumarolic gases of active and quiescent volcanoes is one of the mostimportant targets in monitoring programs. From a general point of view, many systematic (often cyclic) and randomprocesses control the chemistry of gas discharges, making difficult to produce a convincing mathematical-statisticalmodelling.Changes in the chemical composition of volcanic gases sampled at Vulcano Island (Aeolian Arc, Sicily, Italy) fromeight different fumaroles located in the northern sector of the summit crater (La Fossa) have been analysed byconsidering their dependence from time in the period 2000-2007. Each intermediate chemical composition has beenconsidered as potentially derived from the contribution of the two temporal extremes represented by the 2000 and 2007samples, respectively, by using inverse modelling methodologies for compositional data. Data pertaining to fumarolesF5 and F27, located on the rim and in the inner part of La Fossa crater, respectively, have been used to achieve theproposed aim. The statistical approach has allowed us to highlight the presence of random and not random fluctuations,features useful to understand how the volcanic system works, opening new perspectives in sampling strategies and inthe evaluation of the natural risk related to a quiescent volcano

Elemental analysis of New Zealand Nephrite Jade (pounamu) for forensic purposes

Pounamu (NZ jade), or nephrite, is a protected mineral in its natural form following thetransfer of ownership back to Ngai Tahu under the Ngai Tahu (Pounamu Vesting) Act 1997.Any theft of nephrite is prosecutable under the Crimes Act 1961. Scientific evidence isessential in cases where origin is disputed. A robust method for discrimination of thismaterial through the use of elemental analysis and compositional data analysis is required.Initial studies have characterised the variability within a given nephrite source. This hasincluded investigation of both in situ outcrops and alluvial material. Methods for thediscrimination of two geographically close nephrite sources are being developed.Key Words: forensic, jade, nephrite, laser ablation, inductively coupled plasma massspectrometry, multivariate analysis, elemental analysis, compositional data analysis

Proposta de consolidació d'un talús a l'estadi municipal de futbol de Montilivi (Girona)

L’estudi pretén comprovar que el talús adjacent a la grada est de l’Estadimunicipal de Montilivi no és estable i posteriorment proposar una mesura correctora, dimensionar-la i comprovar-la amb un programa d’ordinador específic Els antecedents al problema són els següents: A la ciutat de Girona, concretament al barri de Montilivi existeix un problemàtica que es va reiterant any rere any. Degut a les característiques geomecàniques del seu subsòl, argiles expansives, quan s’augmenta les condicions d’humitat del terreny, es produeix una solifluxió del terreny i desencadena en esllavissades. S’hi ha intentat posar solució però el fet és que només s’ha apedaçat el problema. A l’any 1996 es produeix la primera esllavissada del talús. S’ensorra la grada preferent del camp del Girona. El 7 de maig de 2004. Un nou esfondrament a la grada est de l’estadi que afecta al nou vial d’accés a la Universitat de Girona. Finalment, i després de la gran nevada del 2010, es produeix una nova esllavissada en elrecinte de l’obra d’ampliació de l’estadi de Montilivi

Projecte d'una indústria càrnia elaboradora d'embotits cuits seguint criteris d'eficiència energètica, situada al polígon industrial del Terme Municipal de Riudellots de la Selva, província de Girona

Disseny i posada en marxa d’una indústria càrnia elaboradora d’embotits cuits on es segueixen criteris d’eficiència energètica en tot el procés. La indústria s’ubicarà al polígon industrial Girona, sector Ponent, del terme municipal de Riudellots de la Selva a la comarca de la Selva, en una propietat del promotor, dotada amb bones comunicacions per carretera, ferrocarril i avió, i a més es trova situada a prop de nuclis urbans importants com Girona i Barcelona. Per tant, per la seva localització i les bones infraestructures existents podem assegurar que tindrà un bon accés per la recepció de les matèries primeres i per la distribució dels productes acabats. Es dissenyen les instal•lacions de la indústria per garantir una capacitat productiva de 1.000 tones de producte acabat a l’any. La comercialització dels seus productes es preveu que sigui bàsicament a nivell de la província de Girona, abraçant una quota de mercat del sector carni en aquesta zona d’un 10%, i podent ampliar el seu mercat objectiu en un futur a d’altres províncies o a l’estranger si fos viable. Del volum anual de producció, es decideix que el 45% de la producció vagi destinada a envasos llescats, ja que la venda d’un producte llescat fa que el consumidor final compri l’estrictament necessari, per tant aquest fet assegura que elmercat sigui més estable. El 55% restant es destina a la presentació a l’engròs, per poder servir el producte a carnisseries o al sector restauració

Política turística de Girona: 1976-2007

Es pretén fer una descripció de la política turística de la ciutat de Girona en el període 1976-2007. Es defineixen 6 objectius: estudiar el concepte de política turística, estudiar l’evolució del boom turístic dels 60 fins al turisme de qualitat dels 90, observar el repartiment de competències entre les diferents administracions, observar l’actual política turística de l’Ajuntament de Girona, descriure els fets que han influït en la política turística de la ciutat de Girona, i comparar la política turística estatal i la de Girona en aquest període

Quantifying rock fabrics: a test of autocorrelation of the spatial distribution of cristals

A novel test of spatial independence of the distribution of crystals or phases in rocksbased on compositional statistics is introduced. It improves and generalizes the commonjoins-count statistics known from map analysis in geographic information systems.Assigning phases independently to objects in RD is modelled by a single-trial multinomialrandom function Z(x), where the probabilities of phases add to one and areexplicitly modelled as compositions in the K-part simplex SK. Thus, apparent inconsistenciesof the tests based on the conventional joins{count statistics and their possiblycontradictory interpretations are avoided. In practical applications we assume that theprobabilities of phases do not depend on the location but are identical everywhere inthe domain of de nition. Thus, the model involves the sum of r independent identicalmultinomial distributed 1-trial random variables which is an r-trial multinomialdistributed random variable. The probabilities of the distribution of the r counts canbe considered as a composition in the Q-part simplex SQ. They span the so calledHardy-Weinberg manifold H that is proved to be a K-1-affine subspace of SQ. This isa generalisation of the well-known Hardy-Weinberg law of genetics. If the assignmentof phases accounts for some kind of spatial dependence, then the r-trial probabilitiesdo not remain on H. This suggests the use of the Aitchison distance between observedprobabilities to H to test dependence. Moreover, when there is a spatial uctuation ofthe multinomial probabilities, the observed r-trial probabilities move on H. This shiftcan be used as to check for these uctuations. A practical procedure and an algorithmto perform the test have been developed. Some cases applied to simulated and realdata are presented.Key words: Spatial distribution of crystals in rocks, spatial distribution of phases,joins-count statistics, multinomial distribution, Hardy-Weinberg law, Hardy-Weinbergmanifold, Aitchison geometry

When zero doesn't mean it and other geomathematical mischief

There is almost not a case in exploration geology, where the studied data doesn’tincludes below detection limits and/or zero values, and since most of the geological dataresponds to lognormal distributions, these “zero data” represent a mathematicalchallenge for the interpretation.We need to start by recognizing that there are zero values in geology. For example theamount of quartz in a foyaite (nepheline syenite) is zero, since quartz cannot co-existswith nepheline. Another common essential zero is a North azimuth, however we canalways change that zero for the value of 360°. These are known as “Essential zeros”, butwhat can we do with “Rounded zeros” that are the result of below the detection limit ofthe equipment?Amalgamation, e.g. adding Na2O and K2O, as total alkalis is a solution, but sometimeswe need to differentiate between a sodic and a potassic alteration. Pre-classification intogroups requires a good knowledge of the distribution of the data and the geochemicalcharacteristics of the groups which is not always available. Considering the zero valuesequal to the limit of detection of the used equipment will generate spuriousdistributions, especially in ternary diagrams. Same situation will occur if we replace thezero values by a small amount using non-parametric or parametric techniques(imputation).The method that we are proposing takes into consideration the well known relationshipsbetween some elements. For example, in copper porphyry deposits, there is always agood direct correlation between the copper values and the molybdenum ones, but whilecopper will always be above the limit of detection, many of the molybdenum values willbe “rounded zeros”. So, we will take the lower quartile of the real molybdenum valuesand establish a regression equation with copper, and then we will estimate the“rounded” zero values of molybdenum by their corresponding copper values.The method could be applied to any type of data, provided we establish first theircorrelation dependency.One of the main advantages of this method is that we do not obtain a fixed value for the“rounded zeros”, but one that depends on the value of the other variable.Key words: compositional data analysis, treatment of zeros, essential zeros, roundedzeros, correlation dependency

Estudi de la capacitat d'un ERP de programari lliure en l'entorn manufacturer

Aquest projecte sorgeix amb la intenció de determinar si és possible adaptar un ERP de programari lliure per a la gestió i planificació dels processos industrials d'una petita o mitjana empresa.

Auditoria energètica i proposta de millores en una fàbrica de portes hermètiques

L’objectiu d’aquest projecte, és estudiar i proposar mesures que permetin millorar l'eficiència energètica i el confort de les instal•lacions, d'una empresa dedicada a l'activitat de fabricació de portes hermètiques ubicada a la comarca de la Garrotxa. Per aconseguir aquest objectiu es realitza una auditoria energètica de l'activitat de l'empresa, la qual permet conèixer i entendre el seu comportament energètic. A partir dels resultats i de les conclusions de l’auditoria, es proposa diverses millores i s’estudia les possibilitats que ofereixen un major estalvi energètic, tant des del punt de vista de consum de matèries primeres (gas propà i electricitat), com d’estalvi d’emissions de CO2 a l’atmosfera i augmentar el confort a l’interior dels tallers. A més a més, s’estudia la viabilitat econòmica d'aquestes millores, calculant-ne l’amortització a partir de la seva inversió inicial i de l’estalvi econòmic que ofereixen. En l’auditoria s’estudia el contracte amb l’empresa distribuïdora i altres empreses d’energia, per tal d’optimitzar la facturació d’electricitat, analitzar els paràmetres i consums d’energia activa, reactiva i potència contractada. També s’estudia i s’avalua el sistema d’il•luminació per la seva optimització energètica. A més a més, s’analitza i s’estudia el consum i el cost de subministrament de gas propà. I finalment es realitza una anàlisi dels sistemes productors d’energia i distribució de calefacció, per tal d’optimitzar el consum i millorar el rendiment de les instal•lacions

Automatització d’una fàbrica de pinso

Les produccions ramaderes en el seu conjunt no es podrien atendre en el món actual sensela participació de la indústria del pinso compost. L’alternativa de treballar en base a pinsosimple o senzillament amb cereals o altres primeres matèries individuals, faria inviablel’abastiment en qualitat i quantitat del que es consumeix.La realització de pinso compost és el resultat de la barreja de variades substànciesalimentàries, sals minerals i fàrmacs per a la nutrició del bestiar.Les fàbriques de pinso aglutinen diverses explotacions agràries, garantint diàriament un treballcontinu sense grans fluctuacions, una dosificació exacta depenent de la recepta que hagiprogramat el veterinari i flexibilitat davant els canvis.Aquestes fàbriques requereixen de maquinària més precisa per fer front a les molt variades receptesnutricionals depenent del tipus de bestiar i de l’època estacional.La dimensió de les fàbriques també serà més gran, per poder atendre la major demanda decomandes i assegurar una producció de qualitat.Moltes fàbriques de pinso són velles o provenen d’antigues explotacions ramaderesreconvertides, les quals d’acord amb l’actual necessitat de control de qualitat, efectivitat irapidesa s’han modernitzat o s’estan reciclant, car el propi mercat i competència els estàprecipitant a fer-ho.Una fàbrica moderna de pinso és una planta de processos que incorpora tecnologies defabricació i control, iguals que qualsevol indústria.S’ha de dissenyar per produir pinso compost de forma competitiva i tindre en tot momentcapacitat per controlar els seus processos, així com assegurar la qualitat del producte final,tant a nivell nutricional com el sanitari.Això s’ha de realitzar amb el màxim nivell de seguretat pels operaris, alhora que s’elimininels efectes de contaminació ambiental, com la pols i el soroll.Amb l’automatització de la fàbrica ja no es repetiran les errades per l’accionament demotors, malmetent una dosificació i perdent un temps molt valuós