Integro-difference equations for interacting species and the Neolithic transition

We introduce a set of sequential integro-difference equations to analyze the dynamics of two interacting species. Firstly, we derive the speed of the fronts when a species invades a space previously occupied by a second species, and check its validity by means of numerical random-walk simulations. As an example, we consider the Neolithic transition: the predictions of the model are consistent with the archaeological data for the front speed, provided that the interaction parameter is low enough. Secondly, an equation for the coexistence time between the invasive and the invaded populations is obtained for the first time. It agrees well with the simulations, is consistent with observations of the Neolithic transition, and makes it possible to estimate the value of the interaction parameter between the incoming and the indigenous populations

Fronts from integrodifference equations and persistence effects on the Neolithic transition

We extend a previous model of the Neolithic transition in Europe [J. Fort and V. Méndez, Phys. Rev. Lett. 82, 867 (1999)] by taking two effects into account: (i) we do not use the diffusion approximation (which corresponds to second-order Taylor expansions), and (ii) we take proper care of the fact that parents do not migrate away from their children (we refer to this as a time-order effect, in the sense that it implies that children grow up with their parents, before they become adults and can survive and migrate). We also derive a time-ordered, second-order equation, which we call the sequential reaction-diffusion equation, and use it to show that effect (ii) is the most important one, and that both of them should in general be taken into account to derive accurate results. As an example, we consider the Neolithic transition: the model predictions agree with the observed front speed, and the corrections relative to previous models are important (up to 70%)

Biomass equations for European trees : addendum

Abstract

Generalized synchronization in directionally coupled systems with identical individual dynamics

A simple chaotic flow is presented, which when driven by an identical copy of itself, for certain initial conditions, is able to display generalized synchronization instead of identical synchronization. Being that the drive and the response are observed in exactly the same coordinate system, generalized synchronization is demonstrated by means of the auxiliary system approach and by the conditional Lyapunov spectrum. This is interpreted in terms of changes in the structure of the system stationary points, caused by the coupling, which modify its global behavior.

Determination of the components of the gyration tensor of quartz by oblique incidence transmission two-modulator generalized ellipsometry

The two independent components of the gyration tensor of quartz, g11 and g33, have been spectroscopically measured using a transmission two-modulator generalized ellipsometer. The method is used to determine the optical activity in crystals in directions other than the optic axis, where the linear birefringence is much larger than the optical activity.

PROPAGAÇÃO DO UMEZEIRO (Prunus mume Sieb & Zucc.) POR ESTAQUIA HERBÁCEA

A utilização do umezeiro ou damasqueiro-japonês (Prunus mume Sieb & Zucc.) como porta-enxerto de Prunus sp. vem despertando grande interesse em função de sua rusticidade, resistência a pragas e doenças, adaptação e, principalmente, por reduzir o porte de pessegueiros e nectarineiras. Este trabalho foi conduzido no Departamento de Produção Vegetal da FCAV/UNESP, Câmpus de Jaboticabal-SP, e teve por objetivo estudar a propagação vegetativa desta espécie. Para tanto, utilizaram-se estacas herbáceas com 12cm de comprimento dos Clones 02; 05; 10 e 15, provenientes do Programa de Melhoramento Genético do Instituto Agronômico de Campinas, submetidas às concentrações de 0 e 2000mg.L-1 de AIB, por cinco segundos. O experimento foi conduzido em delineamento experimental inteiramente casualizado, com 4 repetições de 20 estacas por parcela, esquema fatorial 4 x 2, sendo o fator clone em 4 níveis (Clones 02; 05; 10 e 15) e AIB em 2 níveis (0 e 2000mg.L-1). De acordo com os resultados, verificou-se diferença entre os clones quanto à porcentagem de enraizamento, sendo o Clone 15 significativamente superior ao Clone 02 (93,75% e 78,13%, respectivamente). Os Clones 05 (85,0%) e 10 (83,13%) comportaram-se como intermediários, não diferindo dos demais. Não houve diferença entre os clones testados quanto à formação de calo, raízes por estaca, comprimento de raízes e porcentagem de estacas brotadas. O ácido indolbutírico na concentração de 2000mg.L-1 favoreceu a emissão de raízes adventícias e aumentou o comprimento das raízes, mas não teve influência na brotação das estacas. Não houve efeito da interação entre os fatores testados para as variáveis analisadas.

Robust Estimators of the Generalized Log-Gamma Distribution

We propose robust estimators of the generalized log-gamma distribution and, more generally, of location-shape-scale families of distributions. A (weighted) Q tau estimator minimizes a tau scale of the differences between empirical and theoretical quantiles. It is n(1/2) consistent; unfortunately, it is not asymptotically normal and, therefore, inconvenient for inference. However, it is a convenient starting point for a one-step weighted likelihood estimator, where the weights are based on a disparity measure between the model density and a kernel density estimate. The one-step weighted likelihood estimator is asymptotically normal and fully efficient under the model. It is also highly robust under outlier contamination. Supplementary materials are available online.

Efeito do comprimento de estacas herbáceas de dois clones de umezeiro (Prunus mume Sieb & Zucc.) no enraizamento adventício

O umezeiro (Prunus mumeSieb & Zucc.) é uma rosácea de folhas caducas, nativa da China, cujos frutos e flores são muito apreciados pelos povos orientais. No Brasil, alguns estudos foram realizados visando a sua utilização como porta-enxerto para pessegueiro e nectarineira, dadas as suas características de adaptação, rusticidade, redução do porte da planta e compatibilidade com algumas cultivares de Prunus persica. O presente estudo foi conduzido em câmara de nebulização sob ripado, pertencente ao Departamento de Produção Vegetal da FCAV/UNESP, Câmpus de Jaboticabal-SP. Objetivou-se verificar a influência de quatro comprimentos de estacas herbáceas no enraizamento de dois clones de umezeiro. O material vegetal, identificado como Clone 10 e Clone 15, foi oriundo do Programa de Melhoramento Genético do Instituto Agronômico de Campinas-SP. O experimento foi constituido de fatorial 2 x 4, em blocos casualizados, sendo o fator clone em 2 níveis (Clone 10 e Clone 15) e o fator comprimento de estaca em 4 níveis (12; 15; 18 e 25cm). Pelos resultados observados, verificou-se diferença entre os clones somente na porcentagem de estacas brotadas e número de raízes por estaca. O comprimento da estaca influenciou na porcentagem de enraizamento e na mortalidade das estacas, sendo que estacas maiores tenderam a apresentar maiores porcentagens de enraizamento e menores de mortalidade. As estacas com 12cm, embora apresentando menor número de raízes por estaca, são recomendadas por permitirem a obtenção de um maior número de estacas por planta-matriz. Houve efeito significativo da interação entre os fatores para número e comprimento de raízes.

Reação de clones de bananeira(Musa spp.) ao nematóide Meloidogyne incognita (Kofoid & White, 1919) Chitwood, 1949, Raça 2

O trabalho teve por objetivo estudar em condições de casa de vegetação a reação de clones de bananeira, em relação a Meloidogyne incognita raça 2. Mudas micropropagadas foram inoculadas, utilizando-se da suspensão de M. incognita, formada de ovos e de juvenis do segundo estádio, totalizando 20.000 / muda. A inoculação foi feita após cinco dias do transplante das mudas para sacos de plástico preto de cinco litros de capacidade, contendo solo, areia e esterco, na proporção 3:1:1, esterilizado em caldeira a 100ºC, por duas horas. O delineamento experimental foi o inteiramente casualizado, com quatro repetições. Após 120 dias, os clones foram avaliados. Determinou-se o número de ovos e juvenis contido no sistema radicular, sendo utilizado o clone CPA-34, a cultivar Grande Naine, como padrão de suscetibilidade. Amostras de 200 cm³ de solo foram coletadas para a determinação do número de nematóides no solo. De acordo com os fatores de reprodução (Pf/Pi), verificou-se que o clone CPA-34 apresentou-se suscetível ao nematóide, como era esperado, com o maior fator de reprodução, seguido do clone CPA-49, da cultivar Maçã, com índice superior a um. Os demais clones testados apresentaram fator de reprodução menor que um, indicando certa resistência ao nematóide M. incognita raça 2. Entretanto, nas análises estatísticas, foram verificadas diferenças significativas entre o clone-padrão CPA-34, quando comparado com os clones CPA-58 e CPA-54. Para os resultados de peso de raízes e peso da parte aérea, a diferença foi significativa (1%) para todos os clones testados, apresentando os maiores valores para os clones não inoculados.

Effect of n-3 fatty acids on markers of brain injury and incidence of sepsis-associated delirium in septic patients.

BACKGROUND: Data regarding immunomodulatory effects of parenteral n-3 fatty acids in sepsis are conflicting. In this study, the effect of administration of parenteral n-3 fatty acids on markers of brain injury, incidence of sepsis-associated delirium, and inflammatory mediators in septic patients was investigated. METHODS: Fifty patients with sepsis were randomized to receive either 2 ml/kg/day of a lipid emulsion containing highly refined fish oil (equivalent to n-3 fatty acids 0.12 mg/kg/day) during 7 days after admission to the intensive care unit or standard treatment. Markers of brain injury and inflammatory mediators were measured on days 1, 2, 3 and 7. Assessment for sepsis-associated delirium was performed daily. The primary outcome was the difference in S-100β from baseline to peak level between both the intervention and the control group, compared by t-test. Changes of all markers over time were explored in both groups, fitting a generalized estimating equations model. RESULTS: Mean difference in change of S-100β from baseline to peak level was 0.34 (95% CI: -0.18-0.85) between the intervention and control group, respectively (P = 0.19). We found no difference in plasma levels of S-100β, neuron-specific enolase, interleukin (IL)-6, IL-8, IL-10, and C-reactive protein between groups over time. Incidence of sepsis-associated delirium was 75% in the intervention and 71% in the control groups (risk difference 4%, 95% CI -24-31%, P = 0.796). CONCLUSION: Administration of n-3 fatty acids did not affect markers of brain injury, incidence of sepsis-associated delirium, and inflammatory mediators in septic patients.

Fenologia da floração da nogueira macadâmia (Macadamia integrifolia Maiden & Betche) nas condições climáticas de Jaboticabal, São Paulo, Brasil

Com o objetivo de conhecer a fenologia da floração da nogueira macadâmia, foram efetuadas observações, durante o período de maio de 1993 a outubro de 1995, em plantas do pomar da FCAV-UNESP, Jaboticabal, São Paulo, Brasil (latitude 21º 15'S, longitude 48º 18'W). Foram utilizadas plantas de 6 anos de idade, das cultivares IAC 5-10 e IAC 8-17, selecionadas no Brasil. Verificou-se que o período de intumescimento das gemas florais ocorreu a partir de maio. As gemas florais são mistas e localizam-se principalmente em ramos finos (0,2 a 0,7 cm). Das três gemas existentes na axila foliar, a gema superior e a mediana geralmente originam inflorescências. O período ocorrido entre o início de crescimento da gema floral e a antese foi de 48 a 55 dias ou 330 a 350 graus-dia (temperatura-base = 12,8 ºC). A inflorescência e a flor + pedicelo apresentaram um padrão de crescimento do tipo sigmoidal simples. O período de flores em antese concentrou-se entre meados de agosto e meados de setembro.

PRPF mutations are associated with generalized defects in spliceosome formation and pre-mRNA splicing in patients with retinitis pigmentosa.

Proteins PRPF31, PRPF3 and PRPF8 (RP-PRPFs) are ubiquitously expressed components of the spliceosome, a macromolecular complex that processes nearly all pre-mRNAs. Although these spliceosomal proteins are conserved in eukaryotes and are essential for survival, heterozygous mutations in human RP-PRPF genes lead to retinitis pigmentosa, a hereditary disease restricted to the eye. Using cells from patients with 10 different mutations, we show that all clinically relevant RP-PRPF defects affect the stoichiometry of spliceosomal small nuclear RNAs (snRNAs), the protein composition of tri-small nuclear ribonucleoproteins and the kinetics of spliceosome assembly. These mutations cause inefficient splicing in vitro and affect constitutive splicing ex-vivo by impairing the removal of at least 9% of endogenously expressed introns. Alternative splicing choices are also affected when RP-PRPF defects are present. Furthermore, we show that the steady-state levels of snRNAs and processed pre-mRNAs are highest in the retina, indicating a particularly elevated splicing activity. Our results suggest a role for PRPFs defects in the etiology of PRPF-linked retinitis pigmentosa, which appears to be a truly systemic splicing disease. Although these mutations cause widespread and important splicing defects, they are likely tolerated by the majority of human tissues but are critical for retinal cell survival.

Calculation of Activity Coefficients of Uni-Univalent Electrolytes by Equations Containing No Adjustable Parameters in Aqueous Solutions at 298.15 K

Normally either the Güntelberg or Davies equation is used to predict activity coefficients of electrolytes in dilute solutions when no better equation is available. The validity of these equations and, additionally, of the parameter-free equations used in the Bates-Guggenheim convention and in the Pitzerformalism for activity coefficients were tested with experimentally determined activity coefficients of HCl, HBr, HI, LiCl, NaCl, KCl, RbCl, CsCl, NH4Cl, LiBr,NaBr and KBr in aqueous solutions at 298.15 K. The experimental activity coefficients of these electrolytes can be usually reproduced within experimental errorby means of a two-parameter equation of the Hückel type. The best Hückel equations were also determined for all electrolytes considered. The data used in the calculations of this study cover almost all reliable galvanic cell results available in the literature for the electrolytes considered. The results of the calculations reveal that the parameter-free activity coefficient equations can only beused for very dilute electrolyte solutions in thermodynamic studies.

Modules d'endo-permutation

Dans la th´eorie des repr´esentations modulaires des groupes finis, les modules d?endo-permutation occupent une place importante. En e_et, c?est le r?ole jou´e par ces modules dans l?analyse de la structure de certains modules simples pour des groupes finis p-nilpotents, qui a amen´e E. Dade `a en introduire le concept, en 1978. Quelques ann´ees plus tard, L. Puig a d´emontr´e que la source de n?importe quel module simple pour un groupe fini p-r´esoluble quelconque est un module d?endo-permutation. Plus r´ecemment, on s?est rendu compte que ces modules interviennent aussi dans l?analyse locale des cat´egories d´eriv´ees et dans l?´etude des syst`emes de fusion. La situation que l?on consid`ere est la suivante. On se donne un nombre premier p, un p-groupe fini P, un corps alg´ebriquement clos k de caract´eristique p et on veut d´eterminer tous les kP-modules d?endo-permutation couverts ind´ecomposables de type fini, c?est-`a-dire tous les kP-modules ind´ecomposables de type fini, tels que leur alg`ebre d?endomorphismes est un kP-module de permutation ayant un facteur direct trivial. On d´efinit une relation d?´equivalence sur l?ensemble de ces kP-modules et le produit tensoriel des modules induit une structure de groupe ab´elien sur l?ensemble des classes d?´equivalence. On appelle ce groupe, le groupe de Dade de P. Ainsi, classifier les modules d?endo-permutation couverts revient `a d´eterminer le groupe de Dade de P. Le groupe de Dade d?un p-groupe fini arbitraire est encore inconnu, bien qu?E. Dade, en 1978, ´etait d´ej`a parvenu `a la classification dans le cas o`u P est ab´elien. La premi`ere partie de ce travail de th`ese est consacr´ee au probl`eme de la classification dans le cas g´en´eral et r´esoud la question dans le cas de deux familles de p-groupes finis, `a savoir celle des p-groupes m´etacycliques, pour un nombre premier p impair, et celle des 2-groupes extrasp´eciaux, de la forme D8 _ · · · _ D8. Ces deux choix ont ´et´e motiv´es par le fait que ces groupes sont "presque" ab´eliens. De plus, certains r´esultats sur la structure du groupe de Dade d?un p-groupe fini quelconque rendent le groupe de Dade des groupes de ces deux familles plus simple `a ´etudier. Dans un deuxi`eme temps, nous nous sommes int´eress´es `a deux occurrences de ces modules dans la th´eorie de la repr´esentation des groupes finis, c?est-`a-dire `a deux raisons qui motivent leur ´etude. Ainsi, nous avons r´ealis´e des modules d?endo-permutation comme sources de modules simples. En particulier, il s?av`ere que, dans le cas d?un nombre premier p impair, tout module d?endo-permutation ind´ecomposable dont la classe est un ´el´ement de torsion dans le groupe de Dade est la source d?un module simple. Finalement, nous avons d´etermin´e, parmi tous les modules d?endo-permutation connus actuellement, lesquels poss`edent une r´esolution de permutation endo-scind´ee. Nous sommes arriv´es `a la conclusion que les seuls modules d?endo-permutation qui n?ont pas de r´esolution de permutation endo-scind´ee sont les modules "exceptionnels" apparaissant pour un 2-groupe de quaternions g´en´eralis´es.<br/><br/>In modular representation theory, endo-permutation modules occupy an important position. Indeed, the role that these modules play, in the analysis of the structure of some particular simple modules for finite p-nilpotent groups, induced E. Dade, in 1978, to give them their current name. A few years later, L. Puig proved that the source of any simple module for any finite psolvable group is an endo-permutation module. More recently, the occurrence of endo-permutation modules has also been noticed in the local analysis of splendid equivalences between derived categories and in the study of fusion systems. We consider the following situation. Given a prime number p, a finite pgroup P and an algebraically closed field k of characteristic p, we are looking for all finitely generated indecomposable capped endo-permutation kP-modules. That is, all finitely generated indecomposable kP-modules such that their endomorphism algebra is a permutation kP-module having a trivial direct summand. Then, we define an equivalence relation on the set of all isomorphism classes of such modules, and it turns out that the tensor product (over k) induces a structure of abelian group on this set. We call this group the Dade group of P. Hence, classifying all indecomposable finitely generated capped endo-permutation kPmodules is equivalent to determining the Dade group of P. At present, the Dade group of an arbitrary finite p-group is still unknown. However, E. Dade computed the Dade group of all finite abelian p-groups, in 1978 already. The first part of this doctoral thesis is concerned with the problem of the classification in the general case and solve it in the case of two families of finite p-groups, namely the metacyclic p-groups, for an odd prime number p, and the extraspecial 2-groups of the shape D8 _· · ·_D8. These two choices have been motivated by the fact that these groups are not far from being abelian. Moreover, some general results concerning the Dade group of arbitrary finite p-groups suggest that the Dade group of the groups belonging to these two families is easier to study. In the second part of this thesis, we have been looking at two particular occurrences of these modules in representation theory of finite groups which motivate the interest of their classification. Thus, we realised endo-permutation modules as sources of simple modules. In particular, it turns out that, in case p is an odd prime, any indecomposable module whose class in the Dade group is a torsion element is the source of some simple module. Finally, we considered all the modules we know at present and determined which ones have an endo-split permutation resolution. We could then conclude that all but the "exceptionnal" modules occurring in the generalized quaternion case have an endo-split permutation resolution.<br/><br/>"Module d?endo-permutation" n?est pas le nom d?une maladie exotique contagieuse (du moins pas `a ma connaissance), comme vous pourriez peut-?etre l?imaginer si vous faites partie des personnes qui croient que le titre de docteur n?est destin´e qu?aux m´edecins. Dans ce cas, il se peut que le sujet dont il est question ici vous cause quelques naus´ees et r´eveille de douloureux souvenirs d?´ecole, car un module d?endo-permutation est un objet math´ematique, alg´ebrique, plus pr´ecis´ement. Ce concept a ´et´e introduit il y a un quart de si`ecle, de l?autre c?ot´e de l?Atlantique, et il s?est r´ev´el´e su_samment int´eressant pour qu?aujourd?hui il ait franchi bien des fronti`eres, celles de l?alg`ebre y compris. Mais de quoi s?agit-il ? Si vous entendez le terme "endo-permutation" probablement pour la premi`ere fois, ce n?est certainement pas le cas pour celui de "module". Cependant, sa d´efinition dans le pr´esent contexte ne co¨ýncide avec aucune de celles figurant dans les dictionnaires ordinaires. Les personnes qui ont d´ej`a entendu parler de Frobenius, Burnside, Schur, ou encore Brauer, pourront vous dire qu?un module est une repr´esentation. "De quoi ?" vous demanderezvous. "Un spectacle de marionnettes, peut-?etre ?" Bien s?ur que non ! Un module d?endo-permutation est une repr´esentation particuli`ere de certains groupes finis, o`u un groupe n?est pas un groupe de rock, comme vous pouvez vous en douter, mais d´esigne un objet math´ematique connu par tous les ´etudiants en sciences au terme de leur premi`ere ann´ee universitaire (en th´eorie, du moins). La "popularit´e" de la notion de groupe, fini ou non, est due au fait que les groupes sont fr´equemment utilis´es, aussi bien dans le domaine abstrait des math´ematiques, que dans le monde r´eel des physiciens, chimistes et autres biologistes (pour ne citer qu?eux). "Mais comment peut-on utiliser concr`etement ces objets invisibles ?" vous demanderez-vous alors. Et bien, justement, en les consid´erant par l?interm´ediaire de leurs repr´esentations, c?est-`a-dire en leur associant des matrices, de fa¸con plus ou moins naturelle. Or, comme il y a "beaucoup trop" de matrices pour un groupe donn´e, elles sont classifi´ees selon certaines de leurs propri´et´es, ce qui permet de les r´epertorier dans diverses familles (celle des modules d?endo-permutation, par exemple). Un groupe est ainsi rendu "concret", car les donn´ees matricielles sont manipulables par tous les scienti- fiques (et leurs ordinateurs), qui peuvent alors les utiliser dans leurs recherches, afin de contribuer au progr`es de la science. En toute franchise, c?est bien loin de ces soucis terre-`a-terre que ce travail de th`ese sur la classification des modules d?endo-permutation a ´et´e accompli. En fait, quitte `a choquer certaines ?ames sensibles, sa r´ealisation est surtout due au caract`ere ´epicure de son auteur, qui, avouons-le, en a ´et´e pleinement satisfait !