Gains from switching and evolutionary stability in multi-player matrix games.

In this paper we unify, simplify, and extend previous work on the evolutionary dynamics of symmetric N-player matrix games with two pure strategies. In such games, gains from switching strategies depend, in general, on how many other individuals in the group play a given strategy. As a consequence, the gain function determining the gradient of selection can be a polynomial of degree N-1. In order to deal with the intricacy of the resulting evolutionary dynamics, we make use of the theory of polynomials in Bernstein form. This theory implies a tight link between the sign pattern of the gains from switching on the one hand and the number and stability of the rest points of the replicator dynamics on the other hand. While this relationship is a general one, it is most informative if gains from switching have at most two sign changes, as is the case for most multi-player matrix games considered in the literature. We demonstrate that previous results for public goods games are easily recovered and extended using this observation. Further examples illustrate how focusing on the sign pattern of the gains from switching obviates the need for a more involved analysis.

Generic super-exponential stability of invariant tori in Hamiltonian systems

In this article, we consider solutions starting close to some linearly stable invariant tori in an analytic Hamiltonian system and we prove results of stability for a super-exponentially long interval of time, under generic conditions. The proof combines classical Birkhoff normal forms and a new method to obtain generic Nekhoroshev estimates developed by the author and L. Niederman in another paper. We will mainly focus on the neighbourhood of elliptic fixed points, the other cases being completely similar.

Auditoria ambiental de l'edifici de l'Àrea de Territori, Medi Ambient, Paisatge i Espai Urbà de l'Ajuntament de Sitges

Aquest projecte realitza una auditoria ambiental de l’edifici de l’Àrea de Territori, Medi Ambient, Paisatge i Espai Urbà de l’Ajuntament de Sitges, com a primer pas per a la implantació d’un sistema de gestió ambiental (SGA), en acord amb el Reglament (CE) nº 761/2001, i la posterior obtenció d’un certificat de gestió i auditories ambientals (EMAS). L’auditoria s’inicia amb la identificació dels aspectes ambientals de l’edifici, mitjançant la recopilació de dades sobre consums energètics i hídrics, la estimació de la generació de residus i enquestes de mobilitat als treballadors. Aquestes dades són utilitzades per determinar els aspectes ambientals significatius i posteriorment, exposar una sèrie de propostes de millora per tal de corregir-los o minimitzar-los, com ara sistemes d’estalvi d’aigua, d’enllumenat, de producció d’electricitat i l’educació ambiental dels treballadors. Per a la implantació d’un SGA en la situació actual de l’edifici, es necessària, entre altres coses, la implantació d’un sistema de registre que arxivi els consums d’aigua, energia i generació de residus, per tal de dur un control de les despeses de cadascun dels vectors. A més, caldrà implementar un Programa de bones pràctiques ambientals en l’oficina per tal de reduir el consum elèctric, d’aigua i generació de residus, i la seva classificació per part dels treballadors.

Stability analysis of the 2007 Chehalis lake landslide based on long-range terrestrial photogrammetry and airborne LIDAR data

On December 4th 2007, a 3-Mm3 landslide occurred along the northwestern shore of Chehalis Lake. The initiation zone is located at the intersection of the main valley slope and the northern sidewall of a prominent gully. The slope failure caused a displacement wave that ran up to 38 m on the opposite shore of the lake. The landslide is temporally associated with a rain-on-snow meteorological event which is thought to have triggered it. This paper describes the Chehalis Lake landslide and presents a comparison of discontinuity orientation datasets obtained using three techniques: field measurements, terrestrial photogrammetric 3D models and an airborne LiDAR digital elevation model to describe the orientation and characteristics of the five discontinuity sets present. The discontinuity orientation data are used to perform kinematic, surface wedge limit equilibrium and three-dimensional distinct element analyses. The kinematic and surface wedge analyses suggest that the location of the slope failure (intersection of the valley slope and a gully wall) has facilitated the development of the unstable rock mass which initiated as a planar sliding failure. Results from the three-dimensional distinct element analyses suggest that the presence, orientation and high persistence of a discontinuity set dipping obliquely to the slope were critical to the development of the landslide and led to a failure mechanism dominated by planar sliding. The three-dimensional distinct element modelling also suggests that the presence of a steeply dipping discontinuity set striking perpendicular to the slope and associated with a fault exerted a significant control on the volume and extent of the failed rock mass but not on the overall stability of the slope.

Dimensionality of drinking consequences - cross-cultural comparability and stability over time

Despite the long tradition for asking about the negative social and health consequences of alcohol consumption in surveys, little is known about the dimensionality of these consequences. Analysing cross-sectional and longitudinal data from the Nordic Taxation Study collected for Sweden, Finland, and Denmark in two waves in 2003 and 2004 by means of an explorative principal component analysis for categorical data (CATPCA), it is tested whether consequences have a single underlying dimension across cultures. It further tests the reliability, replicability, concurrent and predictive validity of the consequence scales. A one-dimensional solution was commonly preferable. Whereas the two-dimensional solution was unable to distinguish clearly between different concepts of consequences, the one-dimensional solution resulted in interpretable, generally very stable scales within countries across different samples and time.

Avaluació de la capacitat de segrest de carboni d'un sòl restaurat amb fangs de depuradora: estabilitat de la matèria orgànica

L’avaluació de la capacitat de segrest de carboni d’un sòl denudat per l’extracció de calcàries i la seva posterior restauració amb fangs de depuradora s’ha realitzat mitjançant l’anàlisi de l’estabilitat de la matèria orgànica del sòl (MOS) en funció de la dosi de fangs aplicada. Els resultats d’aquest treball demostren dos fets fonamentals per a l’estudi de la capacitat de segrest de carboni, els qual són: la conservació del contingut total de MOS i l’augment de la seva estabilitat fins a nivells més alts que els de la MOS de les parcel·les de control. Aquests resultats són explicables per (i) la conservació i augment de la MOS recalcitrant, i (ii) la protecció d’una porció més o menys rellevant de la MO làbil continguda amb els fangs gràcies a l’acció simultània dels mecanismes d’estabilització de la MOS, com són: l’estabilització bioquímica (humificació), química, física, a més de la pròpia hidrofobicitat de la MOS, aquests dos últims potenciats per l’addicció del fangs de depuradora.

Avaluació de la capacitat de segrest de carboni d'un sòl restaurat amb fangs de depuradora: paper de les propietats físiques del sòl

S’ha estudiat el grau de protecció física del carboni dins d’agregats de diferents mides en un sòl d’una pedrera restaurada fa 17 anys amb terres adobades amb fangs de depuradora, i s’ha interpretat el seu paper en el context del segrest de carboni en el sòl. La metodologia aplicada es basa en la d’humitejament ràpid dels agregats del sòl per immersió en aigua (Le Bissonnais, 1996), que simula l’estabilitat d'un sòl sec que es veu sotmès a processos tals com la inundació local o saturació ràpida. També s’ha determinat la quantitat de carboni oxidable present en els agregats del sòl amb el mètode de Nelson i Sommers (1982). Els resultats han mostrat que l’adobat amb fangs de depuradora contribueix a augmentar el contingut de carboni orgànic en els agregats del sòl i n’estimula el segrest a mitjà termini (unes 10 tones ha-1 en 17 anys), aportant estabilitat al sòl i protegint físicament el carboni orgànic dins dels agregats de mida major (5-2 mm). A més s’ha constatat que per determinar l’estabilitat del carboni segrestat en el sòl cal conèixer com es distribueix entre les diferents mides d’agregats. Finalment, l’augment del segrest de carboni en el sòl propiciat per l’aplicació dels fangs de depuradora li dóna més capacitat per fixar CO2 atmosfèric.

Stability and change in party preferences.

This article analyses stability and volatility of party preferences using data from the Swiss Household-Panel (SHP), which, for the first time, allow studying transitions and stability of voters over several years in Switzerland. Analyses cover the years 1999- 2007 and systematically distinguish changes between party blocks and changes within party blocks. The first part looks at different patterns of change, which show relatively high volatility. The second part tests several theories on causes of such changes applying a multinomial random-effects model. Results show that party preferences stabilise with their duration and with age and that the electoral cycle, political sophistication, socio-structural predispositions, the household-context as well as party size and the number of parties each explain part of electoral volatility. Different results for withinand between party-block changes underlie the importance of that differentiation.

Evolutionary and convergence stability for continuous phenotypes in finite populations derived from two-allele models.

The evolution of a quantitative phenotype is often envisioned as a trait substitution sequence where mutant alleles repeatedly replace resident ones. In infinite populations, the invasion fitness of a mutant in this two-allele representation of the evolutionary process is used to characterize features about long-term phenotypic evolution, such as singular points, convergence stability (established from first-order effects of selection), branching points, and evolutionary stability (established from second-order effects of selection). Here, we try to characterize long-term phenotypic evolution in finite populations from this two-allele representation of the evolutionary process. We construct a stochastic model describing evolutionary dynamics at non-rare mutant allele frequency. We then derive stability conditions based on stationary average mutant frequencies in the presence of vanishing mutation rates. We find that the second-order stability condition obtained from second-order effects of selection is identical to convergence stability. Thus, in two-allele systems in finite populations, convergence stability is enough to characterize long-term evolution under the trait substitution sequence assumption. We perform individual-based simulations to confirm our analytic results.

Ambient vertical flow in long-screen wells: a case study in the Fontainebleau Sands Aquifer (France)

A tritium (H-3) profile was constructed in a long-screened well (LSW) of the Fontainebleau Sands Aquifer (France), and the data were combined with temperature logs to gain insight into the potential effects of the ambient vertical flow (AVF) of water through the well on the natural aquifer stratification. AVF is commonly taken into account in wells located in fracture aquifers or intercepting two different aquifers with distinct hydraulic heads. However, due to the vertical hydraulic gradient of the flow lines intercepted by wells, AVF of groundwater is a common process within any type of aquifer. The detection of 3H in the deeper parts of the studied well ( approximate depth 50m), where H-3-free groundwater is expected, indicates that shallow young water is being transported downwards through the well itself. The temperature logs show a nearly zero gradient with depth, far below the mean geothermal gradient in sedimentary basins. The results show that the age distribution of groundwater samples might be biased in relation to the age distribution in the surroundings of the well. The use of environmental tracers to investigate aquifer properties, particularly in LSWs, is then limited by the effects of the AVF of water that naturally occurs through the well.

On stability of solutions to systems of convex inequalities

"Vegeu el resum a l'inici del document del fitxer adjunt."

On the stability of the optimal value and the optimal set in optimization problems

The paper develops a stability theory for the optimal value and the optimal set mapping of optimization problems posed in a Banach space. The problems considered in this paper have an arbitrary number of inequality constraints involving lower semicontinuous (not necessarily convex) functions and one closed abstract constraint set. The considered perturbations lead to problems of the same type as the nominal one (with the same space of variables and the same number of constraints), where the abstract constraint set can also be perturbed. The spaces of functions involved in the problems (objective and constraints) are equipped with the metric of the uniform convergence on the bounded sets, meanwhile in the space of closed sets we consider, coherently, the Attouch-Wets topology. The paper examines, in a unified way, the lower and upper semicontinuity of the optimal value function, and the closedness, lower and upper semicontinuity (in the sense of Berge) of the optimal set mapping. This paper can be seen as a second part of the stability theory presented in [17], where we studied the stability of the feasible set mapping (completed here with the analysis of the Lipschitz-like property).

A non-possibility theorem for joint-stability in interindustry models

Joint-stability in interindustry models relates to the mutual simultaneous consistency of the demand-driven and supply-driven models of Leontief and Ghosh, respectively. Previous work has claimed joint-stability to be an acceptable assumption from the empirical viewpoint, provided only small changes in exogenous variables are considered. We show in this note, however, that the issue has deeper theoretical roots and offer an analytical demonstration that shows the impossibility of consistency between demand-driven and supply-driven models.