Modelización matemática

La modelización matemática pretende describir la realidad en términos matemáticos,una tarea difícil y que, sin embargo,está jalonada de éxitos sorprendentes. Elproceso de modelización matemática puede esquematizarse en el cuadro de la figura.A partir de un problema dado, de Índole físi ca, tecnológica, biológica. económica.ete., la primera etapa consiste en la formulación matemática del problema. Suobjetivo es asocia rle un modelo matemático que lo describa. Ello obliga a teneren cuenta únicamente una parte de las características que in tervienen en el problemainicial y prescindir de otras que se consideran accesorias o incluso irrclevantespara su resolución. Hay que hacer hipótesis sobre la influencia de los diferentesfactores que intervienen . Son elecciones difíciles y susceptibles de ser modificadasposteriormente. Para obtener el modelo matemático tenemos que conseguir traduciral lenguaje matemático las características seleccionadas. En el modelo matemáticoéstas apareceran en la forma de variables, funciones, ecuaciones, ete. A continuacióndebemos resolver el problema matemático resultante para obtener resultados concretos,normalmente numéricos.

Modelos dinámicos en finanzas

El problema de la modelización dinámica enfinanzas tiene mucho que ver con el tipo deproblema que se pretende estudiar. Es preciso teneren cuenta el subyacente así como las magnitudesque se pretende estimar para elegir el modeloadecuado.-

Spreading due to heterogeneity in two-phase flow

Postprint (published version)

Prediction of Childhood Asthma Using Conditional Probability and Discrete Event Simulation

Abstract: Asthma prevalence in children and adolescents in Spain is 10-17%. It is the most common chronic illness during childhood. Prevalence has been increasing over the last 40 years and there is considerable evidence that, among other factors, continued exposure to cigarette smoke results in asthma in children. No statistical or simulation model exist to forecast the evolution of childhood asthma in Europe. Such a model needs to incorporate the main risk factors that can be managed by medical authorities, such as tobacco (OR = 1.44), to establish how they affect the present generation of children. A simulation model using conditional probability and discrete event simulation for childhood asthma was developed and validated by simulating realistic scenario. The parameters used for the model (input data) were those found in the bibliography, especially those related to the incidence of smoking in Spain. We also used data from a panel of experts from the Hospital del Mar (Barcelona) related to actual evolution and asthma phenotypes. The results obtained from the simulation established a threshold of a 15-20% smoking population for a reduction in the prevalence of asthma. This is still far from the current level in Spain, where 24% of people smoke. We conclude that more effort must be made to combat smoking and other childhood asthma risk factors, in order to significantly reduce the number of cases. Once completed, this simulation methodology can realistically be used to forecast the evolution of childhood asthma as a function of variation in different risk factors.

Viticulture under climate change : understanding vulnerability and adaptive capacity of wineries and growers. A case study in El Penedès region, Catalonia

Climate change may pose challenges and opportunities to viticulture, and much research has focused in studying the likely impacts on grapes and wine production in different regions worldwide. This study assesses the vulnerability and adaptive capacity of the viticulture sector under changing climate conditions, based on a case study in El Penedès region, Catalonia. Farm assets, livelihood strategies, farmer-market interactions and climate changes perceptions are analysed through semi-structured interviews with different types of wineries and growers. Both types of actors are equally exposed to biophysical stressors but unevenly affected by socioeconomic changes. While wineries are vulnerable because of the current economic crisis and the lack of diversification of their work, which may affect their income or production, growers are mainly affected by the low prices of their products and the lack of fix contracts. These socioeconomic stressors strongly condition their capacity to adapt to climate change, meaning that growers prioritize their immediate income problems, rather than future socioeconomic or climate threats. Therefore, growers undertake reactive adaptation to climate changing conditions, mainly based on ancient knowledge, whilst wineries combine both reactive and anticipatory adaptation practices. These circumstances should be addressed in order to allow better anticipatory adaptation to be implemented, thus avoiding future climate threats.

Assessing farmers' vulnerability to climate change : a case study in Karnataka, India

In the context of observed climate change impacts and their effect on agriculture and crop production, this study intends to assess the vulnerability of rural livelihoods through a study case in Karnataka, India. The social approach of climate change vulnerability in this study case includes defining and exploring factors that determine farmers’ vulnerability in four villages. Key informant interviews, farmer workshops and structured household interviews were used for data collection. To analyse the data, we adapted and applied three vulnerability indices: Livelihood Vulnerability Index (LVI), LVI-IPCC and the Livelihood Effect Index (LEI), and used descriptive statistical methods. The data was analysed at two scales: whole sample-level and household level. The results from applying the indices for the whole-sample level show that this community's vulnerability to climate change is moderate, whereas the household-level results show that most of the households' vulnerability is high-very high, while 15 key drivers of vulnerability were identified. Results and limitations of the study are discussed under the rural livelihoods framework, in which the indices are based, allowing a better understanding of the social behaviouraltrends, as well as an holistic and integrated view of the climate change, agriculture, and livelihoods processes shaping vulnerability. We conclude that these indices, although a straightforward method to assess vulnerability, have limitations that could account for inaccuracies and inability to be standardised for benchmarking, therefore we stress the need for further research.

Progress in front propagation research

We review the progress in the field of front propagation in recent years. We survey many physical, biophysical and cross-disciplinary applications, including reduced-variable models of combustion flames, Reid's paradox of rapid forest range expansions, the European colonization of North America during the 19th century, the Neolithic transition in Europe from 13 000 to 5000 years ago, the description of subsistence boundaries, the formation of cultural boundaries, the spread of genetic mutations, theory and experiments on virus infections, models of cancer tumors, etc. Recent theoretical advances are unified in a single framework, encompassing very diverse systems such as those with biased random walks, distributed delays, sequential reaction and dispersion, cohabitation models, age structure and systems with several interacting species. Directions for future progress are outlined

Modeling and control of electromechanical systems

The material presented in the these notes covers the sessions Modelling of electromechanical systems, Passive control theory I and Passive control theory II of the II EURON/GEOPLEX Summer School on Modelling and Control of Complex Dynamical Systems.We start with a general description of what an electromechanical system is from a network modelling point of view. Next, a general formulation in terms of PHDS is introduced, and some of the previous electromechanical systems are rewritten in this formalism. Power converters, which are variable structure systems (VSS), can also be given a PHDS form.We conclude the modelling part of these lectures with a rather complex example, showing the interconnection of subsystems from several domains, namely an arrangement to temporally store the surplus energy in a section of a metropolitan transportation system based on dc motor vehicles, using either arrays of supercapacitors or an electric poweredflywheel. The second part of the lectures addresses control of PHD systems. We first present the idea of control as power connection of a plant and a controller. Next we discuss how to circumvent this obstacle and present the basic ideas of Interconnection and Damping Assignment (IDA) passivity-based control of PHD systems.

Estratègies d'adaptació al canvi climàtic a la Costa Brava: una reflexió teòrica sobre la relació amb el rejoveniment de les destinacions madures

Aquesta Master Tesi té per objecte investigar la relació entre el canvi climàtic i el desenvolupament de destinacions turístiques madures. En concret, es pretén avançar en el coneixement que es té sobre: 1) com afectarà el canvi climàtic a les destinacions madures; 2) quines mesures s’estan prenent per a fer-hi front des de l’àmbit públic; i 3) en quina mesura la lluita contra el canvi climàtic pot alinear-se al costat dels processos de rejoveniment de les destinacions, de forma que ambdós es retroalimentin i generin sinèrgies positives perquè les destinacions turístiques les aprofitin per esdevenir més sostenibles i, a la vegada, es projectin cap al futur resultant més atractives. Per contrastar els avenços teòrics a nivell pràctic, s’ha decidit delimitar l’àrea geogràfica de la Costa Brava (Catalunya, Espanya) per tal de formular un estudi de cas, que consisteix en l’anàlisi de les Agendes 21 locals dels municipis de litoral. Aquesta anàlisi ha permès extreure conclusions que, si bé encara s’han de considerar a nivell prospectiu i les quals caldrà que siguin revalidades per la comunitat científica, igualment s’han de considerar valuoses per la seva aportació en les teories de gestió de destinacions turístiques i d’estratègies per fer front del canvi climàtic

Estratègies d'adaptació al canvi climàtic a la Costa Brava: una reflexió teòrica sobre la relació amb el rejoveniment de les destinacions madures

Aquesta Master Tesi té per objecte investigar la relació entre el canvi climàtic i el desenvolupament de destinacions turístiques madures. En concret, es pretén avançar en el coneixement que es té sobre: 1) com afectarà el canvi climàtic a les destinacions madures; 2) quines mesures s’estan prenent per a fer-hi front des de l’àmbit públic; i 3) en quina mesura la lluita contra el canvi climàtic pot alinear-se al costat dels processos de rejoveniment de les destinacions, de forma que ambdós es retroalimentin i generin sinèrgies positives perquè les destinacions turístiques les aprofitin per esdevenir més sostenibles i, a la vegada, es projectin cap al futur resultant més atractives. Per contrastar els avenços teòrics a nivell pràctic, s’ha decidit delimitar l’àrea geogràfica de la Costa Brava (Catalunya, Espanya) per tal de formular un estudi de cas, que consisteix en l’anàlisi de les Agendes 21 locals dels municipis de litoral. Aquesta anàlisi ha permès extreure conclusions que, si bé encara s’han de considerar a nivell prospectiu i les quals caldrà que siguin revalidades per la comunitat científica, igualment s’han de considerar valuoses per la seva aportació en les teories de gestió de destinacions turístiques i d’estratègies per fer front del canvi climàtic

El canvi climàtic podria incremetar la biodiversitat del planeta

L"escalfament de la Terra i la invasió d"espècies té cara i creu. Al mateix temps que alteren l"equilibri dels ecosistemes, poden augmentar-ne la riquesa

Multidelayed random walks: Theory and application to the neolithic transition in Europe

We present a model in which particles (or individuals of a biological population) disperse with a rest time between consecutive motions (or migrations) which may take several possible values from a discrete set. Particles (or individuals) may also react (or reproduce). We derive a new equation for the effective rest time T˜ of the random walk. Application to the neolithic transition in Europe makes it possible to derive more realistic theoretical values for its wavefront speed than those following from the single-delayed framework presented previously [J. Fort and V. Méndez, Phys. Rev. Lett. 82, 867 (1999)]. The new results are consistent with the archaeological observations of this important historical process

Evaluación económica de los impactos del cambio climático sobre la salud

El Informe Stern, realizado a instancias del Gobierno Británico, se ha convertido en el documento paradigmático de la economía del cambio climático. No solo proporciona una estimación de los costes del cambio climático, sino que resulta ser una aportación fundamental a la evaluación de los datos existentes y al fomento de un mayor conocimiento de los aspectos económicos del cambio climático. El informe tiene una perspectiva internacional, por cuanto el cambio climático es un problema mundial, tanto en sus causas como en sus consecuencias. La adopción de medidas colectivas a nivel internacional es crucial para conseguir una respuesta eficaz, eficiente y equitativa. Así, se insta a la comunidad internacional a actuar con fuerza y de forma inmediata en la toma de decisiones que permitan reducir las emisiones (de CO2) para que los efectos del cambio climático no comiencen a ser irremediables. De hecho, la principal conclusión del informe es que los beneficios de la adopción de medidas prontas y firmes sobre el cambio climático superarán con creces los costes

Scale effect in hazard assessment - application to daily rainfall

Daily precipitation is recorded as the total amount of water collected by a rain-gauge in 24h. Events are modelled as a Poisson process and the 24h precipitation by a Generalized Pareto Distribution (GPD) of excesses. Hazard assessment is complete when estimates of the Poisson rate and the distribution parameters, together with a measure of their uncertainty, are obtained. The shape parameter of the GPD determines the support of the variable: Weibull domain of attraction (DA) corresponds to finite support variables, as should be for natural phenomena. However, Fréchet DA has been reported for daily precipitation, which implies an infinite support and a heavy-tailed distribution. We use the fact that a log-scale is better suited to the type of variable analyzed to overcome this inconsistency, thus showing that using the appropriate natural scale can be extremely important for proper hazard assessment. The approach is illustrated with precipitation data from the Eastern coast of the Iberian Peninsula affected by severe convective precipitation. The estimation is carried out by using Bayesian techniques

Analysis of sensitivity with respect to a compositional parameter : A comment on 'Local sensitivity analysis for compositional data with application to soil texture in hydrologic modelling' by L. Loosvelt and co-authors

A comment about the article “Local sensitivity analysis for compositional data with application to soil texture in hydrologic modelling” writen by L. Loosvelt and co-authors. The present comment is centered in three specific points. The first one is related to the fact that the authors avoid the use of ilr-coordinates. The second one refers to some generalization of sensitivity analysis when input parameters are compositional. The third tries to show that the role of the Dirichlet distribution in the sensitivity analysis is irrelevant