Estructura de les xarxes tròfiques i mecanisme de selecció de preses

Les xarxes tròfiques o alimentàries subministren una representació gràfica de quina espècie menja a quina altra en un ecosistema. Les xarxes tròfiques empíriques publicades són cada vegada més complexes, i es fa més patent la qüestió de si hi ha trets comuns a totes elles. En els darrers anys s’ha realitzat un gran esforç per modelitzar l’arquitectura d’aquestes xarxes. En particular, dos models han rebut especial atenció: el model de nínxol i el de jerarquies. Tots dos models reprodueixen satisfactòriament un bon nombre de propietats estadístiques globals de les xarxes empíriques més completes. Hipotèticament però, els diferents mecanismes de selecció de preses en els models de nínxol i de jerarquies haurien de generar estructures locals diferents en les xarxes. Utilitzant un mètode de subxarxes (també subgrafs o motius ) que permet l’anàlisi quantitativa, s’ha analitzat l’arquitectura local de les xarxes amb l’objectiu de poder discernir quin dels dos models és més realista.

The black-white test score gap widens with age?

We re-examine the theoretical concept of a production function for cognitive achievement, and argue that an indirect production function that depends upon the variables that constrain parents' choices is both moretractable from an econometric point of view, and more interesting from an economic point of view than is a direct production function that depends upon a detailed list of direct inputs such as number of books in the household. We estimate flexible econometric models of indirect production functions for two achievement measures from the Woodcock-Johnson Revised battery, using data from two waves of the Child Development Supplement to the PSID. Elasticities of achievement measures with respect to family income and parents' educational levels are positive and significant. Gaps between scores of black and white children narrow or remain constant as children grow older, a result that differs from previous findings in the literature. The elasticities of achievement scores with respect to family income are substantially higher for children of black families, and there are some notable difference in elasticities with respect to parents' educational levels across blacks and whites.

An analysis of strategic paths through the decomposition of total factor productivity: the case of Spanish savings banks

The Spanish savings banks attracted quite a considerable amount of interest within the scientific arena, especially subsequent to the disappearance of the regulatory constraints during the second decade of the 1980s. Nonetheless, a lack of research identified with respect to mainstream paths given by strategic groups, and the analysis of the total factor productivity. Therefore, on the basis of the resource-based view of the firm and cluster analysis, we make use of changes in structure and performance ratios in order to identify the strategic groups extant in the sector. We attain a threeways division, which we link with different input-output specifications defining strategic paths. Consequently, on the basis of these three dissimilar approaches we compute and decompose a Hicks-Moorsteen total factor productivity index. Obtained results put forward an interesting interpretation under a multi-strategic approach, together with the setbacks of employing cluster analysis within a complex strategic environment. Moreover, we also propose an ex-post method of analysing the outcomes of the decomposed total factor productivity index that could be merged with non-traditional techniques of forming strategic groups, such as cognitive approaches.

Ecoeficiencia en la gestión de residuos municipales: modelo y factores exógenos

El trabajo analiza los factores exógenos que pueden influir en la ecoeficiencia (E/E) de la gestión de los residuos municipales. Se dividen los residuos municipales en outputs deseables e indeseables en los períodos 2000-2003, de la comunidad de Cataluña (España) y se propone un modelo que contempla el uso de la Función de distancia Direccional (DDF). Los datos obtenidos en DDF son contrastados con tres factores socioeconómicos en un análisi de regresión de tobit. Los resultados demuestran que existe un aumento porcentual de la E/E, se debe estudiar más en los aspectos endógenos que en los exógenos de la gestión de residuos. En tal sentido se propone continuar esta investigación con estudios de casos en los municipios estudiados.

Inequality and a repeated joint project

Agents voluntarily contribute to an infinitely repeated joint project. We investigate the conditions for cooperation to be a renegotiation-proof and coalition-proof equilibrium before examining the influence of output share inequality on the sustainability of cooperation. When shares are not equally distributed, cooperation requires agents to be more patient than under perfect equality. Beyond a certain degree of share inequality, full efficiency cannot be reached without redistribution. This model also explains the coexistence of one cooperating and one free-riding coalition. In this case, increasing inequality can have a positive or negative impact on the aggregate level of effort.

Elements of algebraic geometry and the positive theory of partially commutative groups

The first main result of the paper is a criterion for a partially commutative group G to be a domain. It allows us to reduce the study of algebraic sets over G to the study of irreducible algebraic sets, and reduce the elementary theory of G (of a coordinate group over G) to the elementary theories of the direct factors of G (to the elementary theory of coordinate groups of irreducible algebraic sets). Then we establish normal forms for quantifier-free formulas over a non-abelian directly indecomposable partially commutative group H. Analogously to the case of free groups, we introduce the notion of a generalised equation and prove that the positive theory of H has quantifier elimination and that arbitrary first-order formulas lift from H to H * F, where F is a free group of finite rank. As a consequence, the positive theory of an arbitrary partially commutative group is decidable.

Foundations for contest success functions

In the literature the outcome of contests is either interpreted as win probabilities or as shares of the prize. With this in mind, we examine two approaches to contest success functions. In the first we analyze the implications of contestants' incomplete information concerning the "type" of the contest administrator. While in the case of two contestants this approach can rationalize prominent contest success functions, we show that it runs into difficulties when there are more agents. Our second approach interprets contest success functions as sharing rules and establishes a connection to bargaining and claims problems which is independent of the number of contestants. Both approaches provide foundations for popular contest success functions and guidelines for the definition of new ones. Keywords: Endogenous Contests, Contest Success Function. JEL Classification: C72 (Noncooperative Games), D72 (Economic Models of Political Processes: Rent-Seeking, Elections), D74 (Conflict; Conflict Resolution; Alliances).

Les comunitats epistèmiques en el procés de formació de polítiques ambientals: el cas del canvi climàtic a Espanya

Aquest projecte té per objectiu avaluar l’existència, la composició, el paper i l’evolució d’una comunitat epistèmica en les polítiques contra el canvi climàtic a Espanya. Més concretament, els objectius principals són explicar la seva influència sobre aquest procés així com quins han estat els resultats de la seva actuació, tant sobre les polítiques domèstiques del govern espanyol com de la seva postura adoptada a l’arena europea i internacional.

Reconstrucció de les temperatures superficials marines dels últims dos milions d'anys al Corrent de Benguela utilitzant l'índex TEX86

Per tal de reconstruir i obtenir una evolució climàtica a partir de les temperatures superficials marines dels últims dos milions d’anys al Corrent de Benguela (costa oest sud-africana) s’han analitzat 60 mostres del testimoni amb ODP 175-1084. Per fer-ho, s’ha utilitzat la nova calibració de l’índex TEX86 (Kim et al., 2007) i s’han representat els resultats juntament amb els valors obtinguts amb altres índexs referents a les temperatures mitjanes anuals de l’aire (MAAT) i el grau d’aportació sedimentària d’origen continental als sediments marins (BIT). També s’han comparat amb els registres de temperatura d’altres estudis en la mateixa àrea obtinguts a partir de proxies diferents. Els resultats del TEX86 mostren certa concordança amb alguns dels valors obtinguts en altres estudis i proposen hipòtesis que relacionen de manera directa els tres índexs calculats.

Música i matemàtiques

Treball de recerca realitzat per una alumna d’ensenyament secundari i guardonat amb un Premi CIRIT per fomentar l'esperit científic del Jovent l’any 2008. Existeix una relació entre la música i les matemàtiques i per demostrar-ho s’ha relacionat la música amb diferents matèries que avalen aquesta afirmació. Mitjançant una entrevista es situa el panorama musical en relació a les noves tecnologies en l’actualitat. Des d’una perspectiva teòrica, s’estudia la concepció de la música; seguidament s’aprofundeix en la figura de Pitàgores com a descobridor de les proporcions matemàtiques de l’escala musical, amb una introducció al llenguatge i la notació musical. Com a part pràctica, s’analitza una de les teories de Pitàgores sobre l’univers i la música per demostrar la certesa dels seus raonaments en base als coneixements actuals. D’una banda, es treballa el camp de les ones sonores, la formació de les diferents escales matemàticament i els models matemàtics emprats per diversos compositors a l’hora de realitzar les seves peces musicals. D’altra banda, es presenten els efectes que té la música sobre l’oïda, seguit d’un estudi exhaustiu de l’asimetria cerebral i les seves conseqüències en l’aprenentatge i l’execució musical. En relació a la cultura, es mostra la relació matemàtica de les diferents escales, modes i harmonies arreu del món. Aplicant aquests coneixements s’ha realitzat la composició d’una peça musical.

Bargaining one-dimensional policies and the efficiency of super majority rules

We consider negotiations selecting one-dimensional policies. Individuals have single-peaked preferences, and they are impatient. Decisions arise from a bargaining game with random proposers and (super) majority approval, ranging from the simple majority up to unanimity. The existence and uniqueness of stationary subgame perfect equilibrium is established, and its explicit characterization provided. We supply an explicit formula to determine the unique alternative that prevails, as impatience vanishes, for each majority. As an application, we examine the efficiency of majority rules. For symmetric distributions of peaks unanimity is the unanimously preferred majority rule. For asymmetric populations rules maximizing social surplus are characterized.

Linking conflict to inequality and polarization

In this paper we study a behavioral model of conflict that provides a basis for choosing certain indices of dispersion as indicators for conflict. We show that the (equilibrium) level of conflict can be expressed as an (approximate) linear function of the Gini coefficient, the Herfindahl-Hirschman fractionalization index, and a specific measure of polarization due to Esteban and Ray

Asynchronous growth and competition in a two-sex age-structured population model

Asynchronous exponential growth has been extensively studied in population dynamics. In this paper we find out the asymptotic behaviour in a non-linear age-dependent model which takes into account sexual reproduction interactions. The main feature of our model is that the non-linear process converges to a linear one as the solution becomes large, so that the population undergoes asynchronous growth. The steady states analysis and the corresponding stability analysis are completely made and are summarized in a bifurcation diagram according to the parameter R0. Furthermore the effect of intraspecific competition is taken into account, leading to complex dynamics around steady states.

The Causal effect of education on aggregate income

Empirical studies assume that the macro Mincer return on schooling is con- stant across countries. Using a large sample of countries this paper shows that countries with a better quality of education have on average relatively higher macro Mincer coeficients. As rich countries have on average better educational quality, differences in human capital between countries are larger than has been typically assumed in the development accounting literature. Consequently, factor accumulation explains a considerably larger share of income differences across countries than what is usually found.

Modelling the cooling of concrete by piped water

Piped water is used to remove hydration heat from concrete blocks during construction. In this paper we develop an approximate model for this process. The problem reduces to solving a one-dimensional heat equation in the concrete, coupled with a first order differential equation for the water temperature. Numerical results are presented and the effect of varying model parameters shown. An analytical solution is also provided for a steady-state constant heat generationmodel. This helps highlight the dependence on certain parameters and can therefore provide an aid in the design of cooling systems.