On the weights of nations: assigning voting weights in a heterogenous union

Consider a voting procedure where countries, states, or districts comprising a union each elect representatives who then participate in later votes at the union level on their behalf. The countries, provinces, and states may vary in their populations and composition. If we wish to maximize the total expected utility of all agents in the union, how to weight the votes of the representatives of the different countries, states or districts at the union level? We provide a simple characterization of the efficient voting rule in terms of the weights assigned to different districts and the voting threshold (how large a qualified majority is needed to induce change versus the status quo). Next, in the context of a model of the correlation structure of agents preferences, we analyze how voting weights relate to the population size of a country. We then analyze the voting weights in Council of the European Union under the Nice Treaty and the recently proposed constitution, and contrast them under different versions of our model.

Stable condorcet rules

We consider the following allocation problem: A fixed number of public facilities must be located on a line. Society is composed of $N$ agents, who must be allocated to one and only one of these facilities. Agents have single peaked preferences over the possible location of the facilities they are assigned to, and do not care about the location of the rest of facilities. There is no congestion. In this context, we observe that if a public decision is a Condorcet winner, then it satisfies nice properties of internal and external stability. Though in many contexts and for some preference profiles there may be no Condorcet winners, we study the extent to which stability can be made compatible with the requirement of choosing Condorcet winners whenever they exist.

On square permutations

Severini and Mansour introduced in [4]square polygons, as graphical representations of square permutations, that is, permutations such that all entries are records (left or right, minimum or maximum), and they obtained a nice formula for their number. In this paper we give a recursive construction for this class of permutations, that allows to simplify the derivation of their formula and to enumerate the subclass of square permutations with a simple record polygon. We also show that the generating function of these permutations with respect to the number of records of each type is algebraic, answering a question of Wilf in a particular case.

Landscape context on generalist and specialist aphid natural enemies

Report for the scientific sojourn at the University of Lund, Sweden, between May and September 2007. A landscape-scale research approach has been highlighted by a growing body of literature as essential for understanding important ecosystem services as biological control. Aphids are victims of a diversity of enemies making the aphid-enemy interaction a nice example for the role of enemy diversity for the functioning of biological control. Here it is examined the effects of landscape complexity on cereal aphids and associated natural enemies that varied in the degree of specialization. Parasitoids wasps abundance did not differ between landscape types but was strongly negatively related to the percentage of arable land. In contrast, abundances of generalist predators like Coccinellidae were significantly higher in simple landscapes since can benefit from the high availability of a variety of alternative resources within cropping systems. Consequently coccinellidae-to-aphid ratio was significantly higher in fields in homogenous landscapes as compared to fields included in an heterogeneous landscape, suggesting that enemy pressure on cereal aphids increases with landscape simplification. The landscape effect will depend mainly on the degree of specialization of functionally dominant natural enemies, so that the results imply that conservation actions aiming to optimise abundance for one taxonomic group in the agricultural landscape will not automatically increase abundance of other groups. Given that the strength of natural enemy impact on biocontrol depends on landscape features and the role of functionally dominant natural enemies. So, therefore it is essential to focus the future empirical work in examining the schedule of agricultural landscapes that maintain a diversity of generalist and specialist natural enemies.

Hardy-Weinberg Equilibrium and the Ternary Plot

The Hardy-Weinberg law, formulated about 100 years ago, states that under certainassumptions, the three genotypes AA, AB and BB at a bi-allelic locus are expected to occur inthe proportions p2, 2pq, and q2 respectively, where p is the allele frequency of A, and q = 1-p.There are many statistical tests being used to check whether empirical marker data obeys theHardy-Weinberg principle. Among these are the classical xi-square test (with or withoutcontinuity correction), the likelihood ratio test, Fisher's Exact test, and exact tests in combinationwith Monte Carlo and Markov Chain algorithms. Tests for Hardy-Weinberg equilibrium (HWE)are numerical in nature, requiring the computation of a test statistic and a p-value.There is however, ample space for the use of graphics in HWE tests, in particular for the ternaryplot. Nowadays, many genetical studies are using genetical markers known as SingleNucleotide Polymorphisms (SNPs). SNP data comes in the form of counts, but from the countsone typically computes genotype frequencies and allele frequencies. These frequencies satisfythe unit-sum constraint, and their analysis therefore falls within the realm of compositional dataanalysis (Aitchison, 1986). SNPs are usually bi-allelic, which implies that the genotypefrequencies can be adequately represented in a ternary plot. Compositions that are in exactHWE describe a parabola in the ternary plot. Compositions for which HWE cannot be rejected ina statistical test are typically “close" to the parabola, whereas compositions that differsignificantly from HWE are “far". By rewriting the statistics used to test for HWE in terms ofheterozygote frequencies, acceptance regions for HWE can be obtained that can be depicted inthe ternary plot. This way, compositions can be tested for HWE purely on the basis of theirposition in the ternary plot (Graffelman & Morales, 2008). This leads to nice graphicalrepresentations where large numbers of SNPs can be tested for HWE in a single graph. Severalexamples of graphical tests for HWE (implemented in R software), will be shown, using SNPdata from different human populations

Robust decoupled visual servoing based on structured light

This paper focuses on the problem of realizing a plane-to-plane virtual link between a camera attached to the end-effector of a robot and a planar object. In order to do the system independent to the object surface appearance, a structured light emitter is linked to the camera so that 4 laser pointers are projected onto the object. In a previous paper we showed that such a system has good performance and nice characteristics like partial decoupling near the desired state and robustness against misalignment of the emitter and the camera (J. Pages et al., 2004). However, no analytical results concerning the global asymptotic stability of the system were obtained due to the high complexity of the visual features utilized. In this work we present a better set of visual features which improves the properties of the features in (J. Pages et al., 2004) and for which it is possible to prove the global asymptotic stability

Plane-to-plane positioning from image-based visual servoing and structured light

In this paper we face the problem of positioning a camera attached to the end-effector of a robotic manipulator so that it gets parallel to a planar object. Such problem has been treated for a long time in visual servoing. Our approach is based on linking to the camera several laser pointers so that its configuration is aimed to produce a suitable set of visual features. The aim of using structured light is not only for easing the image processing and to allow low-textured objects to be treated, but also for producing a control scheme with nice properties like decoupling, stability, well conditioning and good camera trajectory

El efecto de los cambios climáticos y procesos geológicos en la génesis de la biodiversidad del mediterráneo occidental: el caso de los géneros de arañas Harpactocrates SIMON, 1914y Parachtes ALICATA, 1964

El objetivo principal de mi tesis doctoral es identificar y entender los procesos que determinan la enorme riqueza de seres vivos que existe en el Mediterráneo. Para conseguir los objetivos planteados he utilizado como modelo de estudio los géneros de arañas Parachtes y Harpactocrates endémicas del mediterráneo occidental. Los resultados obtenidos hasta el momento se basan en la información que nos proporcionan las datos moleculares a través de una aproximación filogenética, de inferencia de tiempos de divergencia y de genética de poblaciones. Algunas de las conclusiones a las que he llegado son: (1) la secuencia de formación de las especies que componen el género Parachtes y sus edades asociadas sigue la secuencia geocronológica de formación de la cuenca mediterránea occidental, (2) las especies del género Harpactocrates de los Alpes provienen de una colonización desde la Península Ibérica, (3) las edades de divergencia entre las especies de éste género preceden a las glaciaciones, lo que rechaza la hipótesis de especiación pleistocénica (4) el patrón filogeográfico obtenido para la especie pirenaica Harpactocrates ravastellus sugieren que los cambios climáticos pleistocénicos modelaron la estructura poblacional de la especie, identificándose refugios glaciares, (5) el patrón filogeográfico obtenido para las 3 especies del Sistema Central (H. gredensis, H. globifer y H. gurdus) muestra una marcada estructura poblacional, con tiempos de divergencia que datan alrededor de las épocas del Plio-Pleistoceno, sugiriendo la existencia de varios refugios dentro del Sistema Central.

The Franco-German motor before the eastern enlargement: the causes of its decline

The Franco-German axis has been a transcendent force behind the European integration ever since the early years of the EEC. Nevertheless, since the fall of the Berlin Wall in November 1989, the perception of a progressive distancing between France and Germany as far as the EU politics is concerned, has increased. There has not been a definitive break in Franco-German relations. However, the influence of the Franco-German axis in the EU has been reduced in the 90s. Finally, in the Nice IGC (December 2000), the misunderstandings of these two “big” states about their weight in the Council, almost caused the failure to conclude the Treaty of Nice, clearing the way for the Eastern enlargement. The traditional balance between France and Germany has been eroded. Germany has consolidated its role of leadership in the EU, and above all towards the candidate countries. The purpose of this paper is to analyse the fifth enlargement as one of the causes of the decline of the Franco-German axis as the motor of the process of European integration.

Superconducting p-branes and extremal black holes

In Einstein-Maxwell theory, magnetic flux lines are "expelled" from a black hole as extremality is approached, in the sense that the component of the field strength normal to the horizon goes to zero. Thus, extremal black holes are found to exhibit the sort of ¿Meissner effect¿ which is characteristic of superconducting media. We review some of the evidence for this effect and present new evidence for it using recently found black hole solutions in string theory and Kaluza-Klein theory. We also present some new solutions, which arise naturally in string theory, which are non-superconducting extremal black holes. We present a nice geometrical interpretation of these effects derived by looking carefully at the higher dimensional configurations from which the lower dimensional black hole solutions are obtained. We show that other extremal solitonic objects in string theory (such as p-branes) can also display superconducting properties. In particular, we argue that the relativistic London equation will hold on the world volume of ¿light¿ superconducting p-branes (which are embedded in flat space), and that minimally coupled zero modes will propagate in the adS factor of the near-horizon geometries of "heavy," or gravitating, superconducting p-branes.

Eduard Frey-Stauffer (1888-1974)

Después de breve y grave enfermedad ha muerto en Lagenthal, Suiza, el gran liquenólogo helvético Dr. E. Frey. A lo largo de su dilatada vida trabajó en el campo de la taxonomía de los liqúenes (monografía de Cladoniáceas y Umbilicariáceas en la Rabenhorst's Kryptogamenflora, 1933), y en los de la florística y de la fitosociología de los liqúenes, campo este último en el que debe considerársele pionero en la aplicación de la metodología sigmatista al estudio de las comunidades de liqúenes de los Alpes Suizos.

La difusión de la glaciología en España (1849-1917)

Después de las discusiones en Suiza sobre dinámica glaciar, algunos países europeos fueron explorados durante el siglo XIX para comprobar las hipótesis generadas en los Alpes. España fue el campo de trabajo de muchos científicos (J. Macpherson, A. Penck, II. Obermaier) que se interesaron por el límite sur de las glaciaciones cuaternarias. Consideramos al geólogo alemán Ilugo Obermaier como el introductor de la moderna glaciología en España enire 1914-17, seguido por otros científicos: II uguet del Villar, J. Carandell, L. Fernández Navarro y E. Ilernández Pacheco, quienes trabajaron en el Sistema Ibérico, Sistema Central y Sierra Nevada. Por tanto, este artículo no recoge la glaciología pirenaica, llevada también a cabo por geólogos franceses.

Los nummulítidos (Nummulites y Assilina) del Paleoceno Superior-Eoceno Inferior de la cuenca pirenaica: Sistemaáica.

Se ha realizado el estudio sistemático de los nummulítidos pertenecientes a los géneros Nummulites y Assilina del intervalo Paleoceno Superior - Eoceno Inferior de la Cuenca Pirenaica, a partir de muestras procedentes principalmente del sector meridional de la cuenca. Los taxones descritos se han comparado con especímenes procedentes de otras cuencas de la Mesogea: Alpes suizos (Schlieren- y Gumigelflysch) y austríacos (unidades alóctonas helvéticas), norte de Italia (Verona y Vicenza), plataformas marinas adriáticas (Eslovenia y Croacia), península de Crimea (Ucrania), Cuenca de Haymana (Anatolia central, Turquía), y Salt Range (Pakistán). Se han descrito 98 taxones de nummuiítidos -entre especies y subespecies-, de los cuales: - 66 taxones del género Nummulites, pertenecientes a los grupos de N. perforatus, N. partschi, N. rotularius, N. minewensis, N. globulus, N. laevigatus, N. distans, N. heberti y N. spirectypus. - 32 taxones del género Assilina, pertenecientes a los gmpos de A. spira, A. exponens, A. subgranulosa, A. ammonea, A. canalijera y A. alpina. En este trabajo -y siguiendo las consideraciones de Loeblich y Tappan (1987)- Assilina integra las denominaciones gen6ricas tradicionales de Assilina y Operculina.