Rate of convergence of a particle method to the solution of the Mc Kean-Vlasov's equation

This paper studies the rate of convergence of an appropriatediscretization scheme of the solution of the Mc Kean-Vlasovequation introduced by Bossy and Talay. More specifically,we consider approximations of the distribution and of thedensity of the solution of the stochastic differentialequation associated to the Mc Kean - Vlasov equation. Thescheme adopted here is a mixed one: Euler/weakly interactingparticle system. If $n$ is the number of weakly interactingparticles and $h$ is the uniform step in the timediscretization, we prove that the rate of convergence of thedistribution functions of the approximating sequence in the $L^1(\Omega\times \Bbb R)$ norm and in the sup norm is of theorder of $\frac 1{\sqrt n} + h $, while for the densities is ofthe order $ h +\frac 1 {\sqrt {nh}}$. This result is obtainedby carefully employing techniques of Malliavin Calculus.

On forward induction and evolutionary and strategic stability

We analyze which normal form solution concepts capture the notion offorward induction, as defined by van Damme (JET, 1989) in the classof generic two player normal form games preceded by an outsideoption. We find that none of the known strategic stability concepts(including Mertens stable sets and hyperstable sets) captures this form of forward induction. On the other hand, we show that the evolutionary concept of EES set (Swinkels, JET, 1992) is always consistent with forward induction.

Evolutionary rates of Jurassic ammonites in relation to sea-level fluctuations

An analysis is presented of the diversity and faunal turnover of Jurassic ammonites related to transgressive /regressive events. The data set contained 400 genera and 1548 species belonging to 67 ammonite zones covering the entire Jurassic System. These data were used in the construction of faunal turnover curves and ammonite diversities, that correlate with sea-level fluctuation curves. Twenty-four events of ammonite faunal turnover are analyzed throughout the Jurassic. The most important took place at the Sinemurian-Carixian boundary, latest Carixian-Middle Domerian, Domerian-Toarcian boundary, latest Middle Toarcian-Late Toarcian, Toarcian-Aalenian boundary, latest Aalenian-earliest Bajocian, latest Early Bajocian-earliest Late Bojocian, Early Bathonian-Middle Bathonian boundary, latest Middle Bathonian-earliest Late Bathonian, latest Bathonian-Early Callovian, earliest Early Oxfordian-Middle Oxfordian, earliest Late Oxfordian-latest Oxfordian, latest Early Kimmeridgian, Late Kimmeridgian, middle Early Tithonian and Early Tithonian-Late Tithonian boundary. More than 75 percent of these turnovers correlate with regressive-transgressive cycles in the Exxon, and /or Hallam's sea-level curves. Inmost cases the extinction events coincide with regressive intervals, whereas origination and radiation events are related to transgressive cycles. The turnovers frequently coincide with major or minor discontinuities in the Subbetic basin (Betic Cordillera).

Reinitialization of evolutionary clocks during sublethal environmental stress in some invertebrates

This paper describes the influence of high environmental stress on evolutionary trends in some selected Mesozoic ammonite lineages and some protists. During extinction periods, many ammonoids are affected by drastic simplifications of their shell geometry, ornamentation and suture line. We observe that relatively tightly coiled ammonites can give rise to highly evolute forms or uncoiled heteromorphs with simple ornamentation and almost ceratitic suture line-a phenomenon called "proteromorphosis". Such simplifications often correspond to a reappearance of ancestral geometries (primitive ornamentation, evolute coiling or uncoiling) which suggest that the evolutionary clock of these organisms can be reinitialized by extreme, sublethal, environmental stress such as giant volcanism (including its consequences on diverse pollutions and on climatic changes) and major regressive events. (c) 2006 Elsevier B.V. All rights reserved.

A note on the stading stock and production of microplankton off the coast of Peru as determined by particle counting

Analiza el método de conteo de particulas usado para determinar las distribución de particulas suspendidas en un rango de 2 -102 um

On the structural difference between the evolutionary approach of Young and that of Kandori, Mailath and Rob

We provide robust examples of symmetric two-player coordination games in normal form that reveal that equilibrium selection bythe evolutionary model of Young (1993) is essentially different from equilibrium selection by the evolutionary model of Kandori, Mailath and Rob (1993).

Evolutionary forces affect multigenomic arbuscular mycorhizal fungi : an experimental approach using Glomus intraradices

Abstract Arbuscular Mycorhizal Fungi (AMF) are important plant symbionts that can improve floristic diversity and ecosystem productivity. These important fungi are obligate biotrophs and form symbioses with roots of the majority of plant species, improving plant nutrient acquisition in exchange of photosynthates. AM fungi are successful both ecologically as they occupy a very large spectrum of environments as well as host range and evolutionarily, as this symbiosis is over 400 million years old. These fungi grow and reproduce clonally by hyphae and multinucleate spores. AMF are coenocytic and recent work has shown that they harbor genetically different nuclei and that AMF populations are genetically diverse. How AMF species diversity is maintained has been addressed theoretically and experimentally at the community level. Much less attention has been drawn to understand how genetic diversity is maintained within populations although closely related individuals are more likely to compete for the same resources and occupy similar niches. How infra-individual genetic diversity is shaped and maintained has received even less attention. In Chapter 2, we show that individuals from a field population may differ in their symbiotic efficiency under reduced phosphate availability: We show there is genetic variation in an AMF field population for fitness-related growth traits in response to different phosphate availability acid host species. Furthermore, AFLP fingerprints of the same individuals growing in contrasting environments diverged suggesting that the composition in nuclei of AMF is dynamical and affected by environmental factors. Thus environmental heterogeneity is likely to play an important role for the maintenance of genetic diversity at the population level. In Chapter 3 we show that single spores do not inherit necessarily the same genetic material. We have found genetic divergences using two different types of molecular marker, as well as phenotypic divergences among single spore lines. Our results stress the importance of considering these organisms as a multilevel hierarchical system and of better knowing their life cycle. They have important consequences for the understanding of AMF genetics, ecology and the development of commercial AMF inocculum. Résumé Les champignons endomycorhiziens arbusculaires (CEA) sont d'importants symbiontes pour les plantes, car ils augmentent la diversité et la productivité des écosystèmes. Ces importants symbiontes sont des biotrophes obligatoires et forment une symbiose avec la plupart des plantes terrestres. Ils améliorent l'acquisition de substances nutritives de leurs hôtes en échange de sucres obtenus par photosynthèse. Ces champignons ont un grand succès écologique, ils colonisent une grande rangée d'environnements ainsi que d'hôtes. Ils ont aussi un succès évolutif certain de part le fait que cette symbiose existe depuis plus de 400 millions d'années. Les CEA sont asexués et croissent clonalement en formant des hyphes et des spores multinuclées. Les CEA sont des coenocytes et des travaux de recherche récents ont montré qu'ils possèdent des noyaux génétiquement différents. D'autres travaux ont aussi révélé que les populations de CEA sont génétiquement diversifiées. Comment la diversité des CEA est maintenue a seulement été adressée par des études théoriques et expérimentalement au niveau des communautés. Très peu d'attention a été portée sur le maintien de la diversité génétique infra et inter populationnelle, or ce sont les individus les plus proches génétiquement qui vont entrer en compétition pour des ressources et niches similaires. La formation et le maintien de la diversité intra-individu des CEA a reçu très peu d'attention. Dans le chapitre 2, nous montrons que des individus CEA d'un même champ différent dans leur efficacité symbiotique lorsque la concentration en phosphoré est réduite. Nous montrons qu'il existe de la variance génétique dans une population de CEA provenant d'un même champ en réponse à différentes concentrations de phosphore, ainsi qu'en réponse à différentes espèces d'hôtes, et ceci pour des traits de croissance vraisemblablement liés au succès reproducteur. De plus grâce à des AFLP nous avons pu montrer que le génome de ces individus subissent des changements lorsqu'ils croissent dans des environnements contrastés. Ceci suggère que les noyaux génétiquement différents des CEA sont des entités dynamiques. Il est fort probable que l'hétérogénéité environnementale joue un rôle dans le maintien de la diversité génétique des populations de CEA. Dans le chapitre 3, nous montrons que toutes les spores d'un même mycélium parental de CEA ne reçoivent pas exactement le même contenu génétique. Nous avons mis en évidence des divergences entre des Lignées monosporales en utilisant deux types de marqueur moléculaires, ainsi que des différences phénotypiques. Nos résutats soulignent l'importance de considézer ces organismes comme dés systëmes hiérarchiques mufti-niveaux, ainsi que de mieux connaître leur cycle de vie. Nos résultats ont d'importantes conséquences pour la compréhension du système génétique des CEA, ainsi que de leur évolution, leur écológie, mais également des conséquences pour la production d' inoccultim commercial.

Evolutionary branching in deme-structured populations.

Adaptive dynamics shows that a continuous trait under frequency dependent selection may first converge to a singular point followed by spontaneous transition from a unimodal trait distribution into a bimodal one, which is called "evolutionary branching". Here, we study evolutionary branching in a deme-structured population by constructing a quantitative genetic model for the trait variance dynamics, which allows us to obtain an analytic condition for evolutionary branching. This is first shown to agree with previous conditions for branching expressed in terms of relatedness between interacting individuals within demes and obtained from mutant-resident systems. We then show this branching condition can be markedly simplified when the evolving trait affect fecundity and/or survival, as opposed to affecting population structure, which would occur in the case of the evolution of dispersal. As an application of our model, we evaluate the threshold migration rate below which evolutionary branching cannot occur in a pairwise interaction game. This agrees very well with the individual-based simulation results.

Independent evolution of hypervariable regions of HIV-1 gp120: V4 as a swarm of N-Linked glycosylation variants

In this study we have characterized intra-patient length polymorphism in V4 by cloning and sequencing a C2-C4 fragment from HIV plasma RNA in patients at different stages of HIV disease. Clonal analysis of clade B, G, and CRF02 isolates during early infection shows extensive intra-patient V4 variability, due to the presence of indel-associated polymorphism. Indels, coupled to amino acid substitution events, affect the number and distribution of potential N-glycosylation sites, resulting in the coexistence, within the same patient, of V4 subsets, each characterized by different sizes, amino acid sequences, and potential N-glycosylation patterns. In contrast, V3 appears to be relatively homogeneous, with similar V3 associated to significantly different V4 within the same clinical specimen. Based on these data, we propose that during early chronic infection V4 is present as a highly divergent quasispecies, enabling the virus to adopt different conformational structures according to immune constrains and other selective pressures

An evolutionary model explaining the Neolithic transition from egalitarianism to leadership and despotism.

The Neolithic was marked by a transition from small and relatively egalitarian groups to much larger groups with increased stratification. But, the dynamics of this remain poorly understood. It is hard to see how despotism can arise without coercion, yet coercion could not easily have occurred in an egalitarian setting. Using a quantitative model of evolution in a patch-structured population, we demonstrate that the interaction between demographic and ecological factors can overcome this conundrum. We model the coevolution of individual preferences for hierarchy alongside the degree of despotism of leaders, and the dispersal preferences of followers. We show that voluntary leadership without coercion can evolve in small groups, when leaders help to solve coordination problems related to resource production. An example is coordinating construction of an irrigation system. Our model predicts that the transition to larger despotic groups will then occur when: (i) surplus resources lead to demographic expansion of groups, removing the viability of an acephalous niche in the same area and so locking individuals into hierarchy; (ii) high dispersal costs limit followers' ability to escape a despot. Empirical evidence suggests that these conditions were probably met, for the first time, during the subsistence intensification of the Neolithic.

Evolutionary dynamics of coding and non-coding transcriptomes.

Gene expression changes may underlie much of phenotypic evolution. The development of high-throughput RNA sequencing protocols has opened the door to unprecedented large-scale and cross-species transcriptome comparisons by allowing accurate and sensitive assessments of transcript sequences and expression levels. Here, we review the initial wave of the new generation of comparative transcriptomic studies in mammals and vertebrate outgroup species in the context of earlier work. Together with various large-scale genomic and epigenomic data, these studies have unveiled commonalities and differences in the dynamics of gene expression evolution for various types of coding and non-coding genes across mammalian lineages, organs, developmental stages, chromosomes and sexes. They have also provided intriguing new clues to the regulatory basis and phenotypic implications of evolutionary gene expression changes.

Effluent particle removal by microirrigation system filters

The aim of this work was to determine whether the filters used in microirrigation systems can remove potentially emitter-clogging particles. The particle size and volume distributions of different effluents and their filtrates were established, and the efficiency of the removal of these particles and total suspended solids by screen, disc and sand filters determined. In most of the effluents and filtrates, the number of particles with a diameter > 20 μm was minimal. By analysing the particle volume distribution it was found that particles larger than the disc and screen filter pores appeared in the filtrates. However, the sand filter was able to retain particles larger than the pore size. The filtration efficiency depended more on the type of effluent than on the filter. It was also found that the particle size distribution followed a potential law. Analysis of the β exponents showed that the filters did not significantly modify the particle size distribution of the effluents