The relationship between Mathematical Utility Theory and the Integrability Problem: some arguments in favour

The resort to utility-theoretical issues will permit us to propose a constructive procedure for deriving a homogeneous of degree one, continuous function that gives raise to a primitive demand function under suitably mild conditions. This constitutes the first elementary proof of a necessary and sufficient condition for an integrability problem to have a solution by continuous (subjective utility) functions. Such achievement reinforces the relevance of a technique that was succesfully formalized in Alcantud and Rodríguez-Palmero (2001). The analysis of these two works exposes deep relationships between two apparently separate fields: mathematical utility theory and the revealed preference approach to the integrability problem.Strong Axiom of Homothetic Revelation; revealed preference; continuous homogeneous of degree one utility; integrability of demand.

Sur la présence de Mylesinus paraschomburgkii Jégu et al., 1989 (Characiformes, Serrasalmidae) dans le bassin du rio Jari (Brésil, Amapa)

Des récoltes postérieures à la description de #Mylesinus paraschomburgkii permettent d'étendre son aire de distribution au bassin du Jari et au principal affluent du Uatuma. Une analyse en composantes principales sur 18 descripteurs morphologiques montrent que la morphologie générale de la population du Jari est différente de celle des populations du Trombetas et du Uatuma. L'isolement de la population du Jari serait donc plus ancien que la séparation des populations du Trombetas et du Uatuma. La dispersion de #Mylesinus paraschomburgkii le long de la marge sud du plateau des Guyanes serait reliée aux transgressions marines du Quaternaire. (Résumé d'auteur

Functional trophic composition of the ichthyofauna of forest streams in eastern Brazilian Amazon.

Este estudo teve como objetivo descrever a organização funcional da fauna de peixes de riachos do nordeste do estado do Pará, Brasil, com base em observações comportamentais das táticas alimentares das espécies. Sete igarapés foram amostrados entre junho e novembro de 2010 por técnicas de observações diretas durante sessões de mergulho livre, totalizando 91h 51min de observação, nos períodos diurno, crepuscular vespertino e noturno. Foram observadas 73 espécies distribuídas em seis ordens, 26 famílias e 63 gêneros, com predomínio de Characiformes, seguidos por Siluriformes. A partir de informações coligidas por observações ad libitum, as espécies foram organizadas em 18 grupos tróficos funcionais (GTFs), de acordo com duas características principais: (1) a tática alimentar observada com maior frequência; e (2) sua distribuição espacial no riacho, considerando suas dimensões lateral (margens e canal central) e vertical (coluna d?água). Os GTFs mais frequentes foram Catadores noturnos de invertebrados (9 espécies), Coletores diurnos de canal (8 spp.), Catadores diurnos de superfície (7 spp.), e Predadores de tocaia e emboscada (6 spp.). Os GTFs aqui definidos possibilitam uma análise comparativa da estrutura e composição da ictiofauna, que representa uma abordagem alternativa ao uso da estrutura taxonômica em estudos ecológicos. A classificação da ictiofauna baseada em GTFs proposta neste trabalho é comparada com outras três classificações, propostas por Sazima (1986), Sabino & Zuanon (1998) e Casatti et al. (2001)

Isotonies on ordered cones throught the concept of a decreasing scale

Using techniques based on decreasing scales, necessary and sufficient conditions are presented for the existence of a continuous and homogeneous of degree one real-valued function representing a (not necessarily complete) preorder defined on a cone of a real vector space. Applications to measure theory and expected utility are given as consequences

Mathematical utility theory and the representability of demand by continuous homogeneous functions

The resort to utility-theoretical issues will permit us to propose a constructive procedure for deriving a homogeneous of degree one continuous function that gives raise to a primitive demand function under suitably mild conditions. This constitutes the first self-contained and elementary proof of a necessary and sufficient condition for an integrability problem to have a solution by continuous (subjective utility) functions

A list of commercial fish species from Santarem, state of Para, Brazil

A list, comprising 129 species in 23 families, is presented of the fish commonly caught in 1992/93 in the commercial fisheries around Santarem, Para State, Brazil. The most important families were the Pimelodidae (22 spp.), Cichildae (20) and Serrasalmidae (15), and six species contribute over 50% of the catch in weight

Contribution of anadromous fish to the diet of European catfish in a large river system

Many anadromous fish species, when migrating from the sea to spawn in fresh waters, can potentially be a valuable prey for larger predatory fish, thereby efficiently linking these two ecosystems. Here, we assess the contribution of anadromous fish to the diet of European catfish (Silurus glanis) in a large river system (Garonne, southwestern France) using stable isotope analysis and allis shad (Alosa alosa) as an example of anadromous fish. Allis shad caught in the Garonne had a very distinct marine delta(13)C value, over 8 per thousand higher after lipid extraction compared to the mean delta(13)C value of all other potential freshwater prey fish. The delta(13)C values of European catfish varied considerably between these two extremes and some individuals were clearly specializing on freshwater prey, whereas others specialized on anadromous fish. The mean contribution of anadromous fish to the entire European catfish population was estimated to be between 53% and 65%, depending on the fractionation factor used for delta(13)C