Analysis of a finite volume element method for the Stokes problem

In this paper we propose a stabilized conforming finite volume element method for the Stokes equations. On stating the convergence of the method, optimal a priori error estimates in different norms are obtained by establishing the adequate connection between the finite volume and stabilized finite element formulations. A superconvergence result is also derived by using a postprocessing projection method. In particular, the stabilization of the continuous lowest equal order pair finite volume element discretization is achieved by enriching the velocity space with local functions that do not necessarily vanish on the element boundaries. Finally, some numerical experiments that confirm the predicted behavior of the method are provided.

Discontinuous Galerkin methods for the Multi-dimensional Vlasov-Poisson problem

We introduce and analyze two new semi-discrete numerical methods for the multi-dimensional Vlasov-Poisson system. The schemes are constructed by combing a discontinuous Galerkin approximation to the Vlasov equation together with a mixed finite element method for the Poisson problem. We show optimal error estimates in the case of smooth compactly supported initial data. We propose a scheme that preserves the total energy of the system.

Mechanisms of agglomeration: Evidence from the location of new manufacturing firms in Spain

El objetivo de esta investigación es aportar evidencia sobre las fuentes de las economías de aglomeración para el caso español. De todas las maneras posibles que se han tomado en la literatura para medir las economías de aglomeración, nosotros lo analizamos a partir de las decisiones de localización de las empresas manufactureras. La literatura reciente ha puesto de relieve que el análisis basado en la disyuntiva localización / urbanización (relaciones dentro de un mismo sector) no es suficiente para entender las economías de aglomeración. Sin embargo, las relaciones entre los diferentes sectores sí resultan significativas al examinar por qué las empresas que pertenecen a diferentes sectores se localizan unas al lado de las otras. Con esto en mente, intentamos explicar que relaciones entre diferentes sectores pueden explicar coaglomeración. Para ello, nos centramos en aquellas relaciones entre sectores definidos a partir de los mecanismos de aglomeración de Marshall, es decir, labor market, input sharing y knowledge spillovers. Trabajamos con el labor market pooling en la medida en que los dos sectores utilizan los mismos trabajadores (clasificación de ocupaciones). Con el segundo mecanismo de Marshall, input sharing, introducimos cómo dos sectores tienen una relación de comprador / vendedor. Por último, nos referimos a dos sectores que utilizan las mismas tecnologías en cuanto a los knowledge spillovers. Con el fin de capturar todos los efectos de los mecanismos de aglomeracion en España, en esta investigación trabajamos con dos ámbitos geográficos, los municipios y los mercados de trabajo locales. La literatura existente nunca se ha puesto de acuerdo en cual es el ámbito geográfico en el que mejor trabajan los mecanismos Marshall, por lo que hemos cubierto todas las unidades geográficas potenciales.

On the effect of the geographical scope of agglomeration economies on firm location

This article analyses how agglomeration economies shaped the location decisions of new manufacturing start-ups in Catalan municipalities in 2001-2005. We estimate whether the locations of new firms are spatially autocorrelated and whether this phenomenon is industry-specific. Our aim is to estimate the geographical scope of agglomeration economies on firm entries. The data set comes from a compulsory register of manufacturing establishments (REIC: Catalan Manufacturing Establishments Register). JEL classification: R1, R3 Keywords: firm location; spatial autocorrelation

Repeated Interaction and the Revelation of the Monitor's Type: A Principal-Monitor-Agent Problem

This paper studies a dynamic principal-monitor-agent relation where a strategic principal delegates the task of monitoring the effort of a strategic agent to a third party. The latter we call the monitor, whose type is initially unknown. Through repeated interaction the agent might learn his type. We show that this process damages the principal's payoffs. Compensation is assumed exogenous, limiting to a great extent the provision of incentives. We go around this difficulty by introducing costly replacement strategies, i.e. the principal replaces the monitor, thus disrupting the agent's learning. We found that even when replacement costs are null, if the revealed monitor is strictly preferred by both parties, there is a loss in efficiency due to the impossibility of bene…tting from it. Nonetheless, these strategies can partially recover the principal's losses. Additionally, we establish upper and lower bounds on the payoffs that the principal and the agent can achieve. Finally we characterize the equilibrium strategies under public and private monitoring (with communication) for different cost and impatience levels.

Conservation genetics and population monitoring of the Alpine Salamander (Salamandra Atra) :

SUMMARYIn the context of the biodiversity crisis, amphibians are experiencing the most severe worldwide decline of all vertebrates and are in urgent need of better management. Efficient conservation strategies rely on sound knowledge of the species biology and of the genetic and demographic processes that might impair their welfare. Nonetheless, these processes are poorly understood in amphibians. Delineating population boundaries remains consequently problematic for these species, while it is of critical importance to define adequate management units for conservation. In this study, our attention focused on the alpine salamander (Salamandra atra), a species that deserves much interest in terms of both conservation biology and evolution. This endemic alpine species shows peculiar life-history traits (viviparity, reduced activity period, slow maturation) and has a slow population turnover, which might be problematic for its persistence in a changing environment. Due to its elusive behaviour (individuals spend most of their time underground and are unavailable for sampling), dynamic processes of gene and individuals were poorly understood for that species. Consequently, its conservation status could hardly be reliably assessed. Similarly the fire salamander (Salamandra salamandra) also poses special challenges for conservation, as no clear demarcation of geographical populations exists and dispersal patterns are poorly known. Through a phylogeographic analysis, we first studied the evolutionary history of the alpine salamander to better document the distribution of the genetic diversity along its geographical range. This study highlighted the presence of multiple divergent lineages in Italy together with a clear genetic divergence between populations from Northern and Dinaric Alps. These signs of cryptic genetic differentiation, which are not accounted for by the current taxonomy of the species, should not be neglected for further definition of conservation units. In addition, our data supported glacial survival of the species in northern peripheral glacial réfugia and nunataks, a pattern rarely documented for long-lived species. Then, we evaluated the level of gene flow between populations at the local scale and tested for asymmetries in male versus female dispersal using both field-based (mark-recapture) and genetic approaches. This study revealed high level of gene flow between populations, which stems mainly from male dispersal. This corroborated the idea that salamanders are much better dispersers than hitherto thought and provided a well- supported example of male-biased dispersal in amphibians. In a third step, based on a mark- recapture survey, we addressed the problem of sampling unavailability in alpine salamanders and evaluated its impact on two monitoring methods. We showed that about three quarters of individuals were unavailable for sampling during sampling sessions, a proportion that can vary with climatic conditions. If not taken into account, these complexities would result in false assumptions on population trends and misdirect conservation efforts. Finally, regarding the daunting task of delineating management units, our attention was drawn on the fire salamander. We conducted a local population genetic study that revealed high levels of gene flow among sampling sites. Management units for this species should consequently be large. Interestingly, despite the presence of several landscape features often reported to act as barriers, genetic breaks occurred at unexpected places. This suggests that landscape features may rather have idiosyncratic effects on population structure. In conclusion, this work brought new insights on both genetic and demographic processes occurring in salamanders. The results suggest that some biological paradigms should be taken with caution when particular species are in focus. Species- specific studies remain thus fundamental for a better understanding of species evolution and conservation, particularly in the context of current global changes.RESUMEDans le contexte de la crise de la biodiversité actuelle, les amphibiens subissent le déclin le plus important de tous les vertébrés et ont urgemment besoin d'une meilleure protection. L'établissement de stratégies de conservation efficaces repose sur des connaissances solides de la biologie des espèces et des processus génétiques et démographiques pouvant menacer leur survie. Ces processus sont néanmoins encore peu étudiés chez les amphibiens.Dans cette étude, notre attention s'est portée sur la salamandre noire (Salamandra atra), une espèce endémique des Alpes dont les traits d'histoire de vie atypiques (viviparité, phase d'activité réduite, lent turnover des populations) pourraient la rendre très vulnérable face aux changements environnementaux. Par ailleurs, en raison de son comportement cryptique (les individus passent la plupart de leur temps sous terre) la dynamique des gènes et des individus est mal comprise chez cette espèce. Il est donc difficile d'évaluer son statut de conservation de manière fiable. La salamandre tachetée {Salamandra salamandra), pour qui il n'existe aucune démarcation géographique apparente des populations, pose également des problèmes en termes de gestion. Dans un premier temps, nous avons étudié l'histoire évolutive de la salamandre noire afin de mieux décrire la distribution de sa diversité génétique au sein de son aire géographique. Cela a permis de mettre en évidence la présence de multiples lignées en Italie, ainsi qu'une nette divergence entre les populations du nord des Alpes et des Alpes dinariques. Ces résultats seront à prendre en compte lorsqu'il s'agira de définir des unités de conservation pour cette espèce. D'autre part, nos données soutiennent l'hypothèse d'une survie glaciaire dans des refuges nordiques périglaciaires ou dans des nunataks, fait rarement documenté pour une espèce longévive. Nous avons ensuite évalué la différentiation génétique des populations à l'échelle locale, ce qui a révélé d'important flux de gènes, ainsi qu'une asymétrie de dispersion en faveur des mâles. Ces résultats corroborent l'idée que les amphibiens dispersent mieux que ce que l'on pensait, et fournissent un exemple robuste de dispersion biaisée en faveur des mâles chez les amphibiens. Nous avons ensuite abordé le problème de Γ inaccessibilité des individus à la capture. Nous avons montré qu'environ trois quarts des individus sont inaccessibles lors des échantillonnages, une proportion qui peut varier en fonction des conditions climatiques. Ignoré, ce processus pourrait entraîner une mauvaise interprétation des fluctuations de populations ainsi qu'une mauvaise allocation des efforts de conservation. Concernant la définition d'unités de gestion pour la salamandre tachetée, nous avons pu mettre en évidence un flux de gènes important entre les sites échantillonnés. Les unités de gestion pour cette espèce devraient donc être étendues. Etonnamment, malgré la présence de nombreuses barrières potentielles au flux de gènes, les démarcations génétiques sont apparues à des endroits inattendus. En conclusion, ce travail a apporté une meilleure compréhension des processus génétiques et démographiques en action chez les salamandres. Les résultats suggèrent que certains paradigmes biologiques devraient être considérés avec précaution quand il s'agit de les appliquer à des espèces particulières. Les études spécifiques demeurent donc fondamentales pour une meilleure compréhension de l'évolution des espèces et leur conservation, tout particulièrement dans le contexte des changements globaux actuels.

Location Determinants of New Firms: Does Skill Level of Human Capital Really Matter?

This paper is about the role played by stock of human capital on location decisions of new manufacturing plants. We analyse the effect of several skill levels (from basic school to PhD) on decisions about the location of plants in various industries and, therefore, of different technological levels. We also test whether spatial aggregation level biases the results and determine the most appropriate areas to be considered in analyses of these phenomena. Our main statistical source is the Register of Manufacturing Establishments of Catalonia (REIC), which has plant-level microdata on the locations of new manufacturing plants. Keywords: agglomeration economies, industrial location, human capital, count-data models, spatial econometrics.

Industrial Location and Space: New Insights

This paper tries to resolve some of the main shortcomings in the empirical literature of location decisions for new plants, i.e. spatial effects and overdispersion. Spatial effects are omnipresent, being a source of overdispersion in the data as well as a factor shaping the functional relationship between the variables that explain a firm’s location decisions. Using Count Data models, empirical researchers have dealt with overdispersion and excess zeros by developments of the Poisson regression model. This study aims to take this a step further, by adopting Bayesian methods and models in order to tackle the excess of zeros, spatial and non-spatial overdispersion and spatial dependence simultaneously. Data for Catalonia is used and location determinants are analysed to that end. The results show that spatial effects are determinant. Additionally, overdispersion is descomposed into an unstructured iid effect and a spatially structured effect. Keywords: Bayesian Analysis, Spatial Models, Firm Location. JEL Classification: C11, C21, R30.

Electrode location and clinical outcome in hippocampal electrical stimulation for mesial temporal lobe epilepsy.

PURPOSE: To study the clinical outcome in hippocampal deep brain stimulation (DBS) for the treatment of patients with refractory mesial temporal lobe epilepsy (MTLE) according to the electrode location. METHODS: Eight MTLE patients implanted in the hippocampus and stimulated with high-frequency DBS were included in this study. Five underwent invasive recordings with depth electrodes to localize ictal onset zone prior to chronic DBS. Position of the active contacts of the electrode was calculated on postoperative imaging. The distances to the ictal onset zone were measured as well as atlas-based hippocampus structures impacted by stimulation were identified. Both were correlated with seizure frequency reduction. RESULTS: The distances between active electrode location and estimated ictal onset zone were 11±4.3 or 9.1±2.3mm for patients with a >50% or <50% reduction in seizure frequency. In patients (N=6) showing a >50% seizure frequency reduction, 100% had the active contacts located <3mm from the subiculum (p<0.05). The 2 non-responders patients were stimulated on contacts located >3mm to the subiculum. CONCLUSION: Decrease of epileptogenic activity induced by hippocampal DBS in refractory MTLE: (1) seems not directly associated with the vicinity of active electrode to the ictal focus determined by invasive recordings; (2) might be obtained through the neuromodulation of the subiculum.

The problem of the competitiveness of nuclear energy: a biophysical explanation

In this study I try to explain the systemic problem of the low economic competitiveness of nuclear energy for the production of electricity by carrying out a biophysical analysis of its production process. Given the fact that neither econometric approaches nor onedimensional methods of energy analyses are effective, I introduce the concept of biophysical explanation as a quantitative analysis capable of handling the inherent ambiguity associated with the concept of energy. In particular, the quantities of energy, considered as relevant for the assessment, can only be measured and aggregated after having agreed on a pre-analytical definition of a grammar characterizing a given set of finite transformations. Using this grammar it becomes possible to provide a biophysical explanation for the low economic competitiveness of nuclear energy in the production of electricity. When comparing the various unit operations of the process of production of electricity with nuclear energy to the analogous unit operations of the process of production of fossil energy, we see that the various phases of the process are the same. The only difference is related to characteristics of the process associated with the generation of heat which are completely different in the two systems. Since the cost of production of fossil energy provides the base line of economic competitiveness of electricity, the (lack of) economic competitiveness of the production of electricity from nuclear energy can be studied, by comparing the biophysical costs associated with the different unit operations taking place in nuclear and fossil power plants when generating process heat or net electricity. In particular, the analysis focuses on fossil-fuel requirements and labor requirements for those phases that both nuclear plants and fossil energy plants have in common: (i) mining; (ii) refining/enriching; (iii) generating heat/electricity; (iv) handling the pollution/radioactive wastes. By adopting this approach, it becomes possible to explain the systemic low economic competitiveness of nuclear energy in the production of electricity, because of: (i) its dependence on oil, limiting its possible role as a carbon-free alternative; (ii) the choices made in relation to its fuel cycle, especially whether it includes reprocessing operations or not; (iii) the unavoidable uncertainty in the definition of the characteristics of its process; (iv) its large inertia (lack of flexibility) due to issues of time scale; and (v) its low power level.

Growth in a Cross-Section of Cities: Location, Increasing Returns or Random Growth?

This article analyzes empirically the main existing theories on income and population city growth: increasing returns to scale, locational fundamentals and random growth. To do this we implement a threshold nonlinearity test that extends standard linear growth regression models to a dataset on urban, climatological and macroeconomic variables on 1,175 U.S. cities. Our analysis reveals the existence of increasing returns when per-capita income levels are beyond $19; 264. Despite this, income growth is mostly explained by social and locational fundamentals. Population growth also exhibits two distinct equilibria determined by a threshold value of 116,300 inhabitants beyond which city population grows at a higher rate. Income and population growth do not go hand in hand, implying an optimal level of population beyond which income growth stagnates or deteriorates

Plasticity in sex allocation in the plant Mercurialis annua is greater for hermaphrodites sampled from dimorphic than from monomorphic populations.

Plants are notoriously variable in gender, ranging in sex allocation from purely male through hermaphrodite to purely female. This variation can have both a genetic and an adaptive plastic component. In gynodioecious species, where females co-occur with hermaphrodites, hermaphrodites tend to shift their allocation towards greater maleness when growing under low-resource conditions, either as a result of hermaphrodites shifting away from an expensive female function, or because of enhanced siring advantages in the presence of females. Similarly, in the androdioecious plant Mercurialis annua, where hermaphrodites co-exist with males, hermaphrodites also tend to enhance their relative male allocation under low-resource conditions. Here, we ask whether this response differs between hermaphrodites that have been evolving in the presence of males, in a situation analogous to that supposed for gynodioecious populations, vs. those that have been evolving in their absence. We grew hermaphrodites of M. annua from populations in which males were either present or absent under different levels of nutrient availability and compared their reaction norms. We found that, overall, hermaphrodites from populations with males tended to be more female than those from populations lacking males. Importantly, hermaphrodites' investment in pollen and seed production was more plastic when they came from populations with males than without them, reducing their pollen production at low resource availability and increasing their seed production at high resource availability. These results are consistent with the hypothesis that plasticity in sex allocation is enhanced in hermaphrodites that have likely been exposed to variation in mating opportunities due to fluctuations in the frequency of co-occurring males.