Risk premiums and benefit measures for generalized-expected-utility theories

Standard tools for the analysis of economic problems involving uncertainty, including risk premiums, certainty equivalents and the notions of absolute and relative risk aversion, are developed without making specific assumptions on functional form beyond the basic requirements of monotonicity, transitivity, continuity, and the presumption that individuals prefer certainty to risk. Individuals are not required to display probabilistic sophistication. The approach relies on the distance and benefit functions to characterize preferences relative to a given state-contingent vector of outcomes. The distance and benefit functions are used to derive absolute and relative risk premiums and to characterize preferences exhibiting constant absolute risk aversion (CARA) and constant relative risk aversion (CRRA). A generalization of the notion of Schur-concavity is presented. If preferences are generalized Schur concave, the absolute and relative risk premiums are generalized Schur convex, and the certainty equivalents are generalized Schur concave.

A test of competing explanations of compensation demanded

We find that prospect theory behavior is significantly more prevalent than utility theory behavior in experiments involving multiple, real items. In the experiments, subjects were endowed with three items and asked the minimum payments they required to be willing to return one, two, or three of them. Our key observation is that prospect theory implies concavity of compensation demanded, whereas utility theory implies convexity. We examine whether the compensation demanded is convex or concave in the number of items returned. (JEL C91).

HIV heterogeneity and proximity of homestead to roads in rural South Africa: an exploration using a geographical information system

OBJECTIVE To describe heterogeneity of HIV prevalence among pregnant women in Hlabisa health district, South Africa and to correlate this with proximity of homestead to roads. METHODS HIV prevalence measured through anonymous surveillance among pregnant women and stratified by local village clinic. Polygons were created around each clinic, assuming women attend the clinic nearest their home. A geographical information system (GIS) calculated the mean distance from homesteads in each clinic catchment to nearest primary (1 degrees) and to nearest primary or secondary (2 degrees) road. RESULTS We found marked HIV heterogeneity by clinic catchment (range 19-31% (P < 0.001). A polygon plot demonstrated lower HIV prevalence in catchments remote from 1 degrees roads. Mean distance from homesteads to nearest 1 degrees or 2 degrees road varied by clinic catchment from 1623 to 7569 m. The mean distance from homesteads to a 1 degrees or 2 degrees road for each clinic catchment was strongly correlated with HIV prevalence (r = 0.66; P = 0.002). CONCLUSIONS The substantial HIV heterogeneity in this district is closely correlated with proximity to a 1 degrees or 2 degrees road. GIS is a powerful tool to demonstrate and to start to analyse this observation. Further research is needed to better understand this relationship both at ecological and individual levels, and to develop interventions to reduce the spread of HIV infection.

Disaggregation of polygons of surficial geology and soil maps using spatial modelling and legacy data

Examples from the Murray-Darling basin in Australia are used to illustrate different methods of disaggregation of reconnaissance-scale maps. One approach for disaggregation revolves around the de-convolution of the soil-landscape paradigm elaborated during a soil survey. The descriptions of soil ma units and block diagrams in a soil survey report detail soil-landscape relationships or soil toposequences that can be used to disaggregate map units into component landscape elements. Toposequences can be visualised on a computer by combining soil maps with digital elevation data. Expert knowledge or statistics can be used to implement the disaggregation. Use of a restructuring element and k-means clustering are illustrated. Another approach to disaggregation uses training areas to develop rules to extrapolate detailed mapping into other, larger areas where detailed mapping is unavailable. A two-level decision tree example is presented. At one level, the decision tree method is used to capture mapping rules from the training area; at another level, it is used to define the domain over which those rules can be extrapolated. (C) 2001 Elsevier Science B.V. All rights reserved.

Distribution of an asymmetrical copepod, Hatschekia plectropomi, on the gills of Plectropomus leopardus

Hatschekia plectropomi, an ectoparasitic copepod found on the gills, infected Plectropomus leopardus from Heron Island Reef with 100% prevalence (n = 32) and a mean +/- S.E. infection intensity of 131.9 +/- 22.1. The distribution of 4222 adult female parasites across 32 individual host fish was investigated at several organizational levels ranging from the level of holobranch pairs to that of individual filaments. Parasites demonstrated a site preference for the two central holobranchs (2 and 3). Along the lengths of hemibranchs, filaments near the dorsal and ventral ends and those in the proximity of the bend region were rarely occupied. The probability of coming into contact with a suitable attachment site and the ability to withstand ventilation forces at that site were proposed as the major factors affecting distribution. Two H. plectropomi morphotypes were identified based on the direction of body curvature. Regardless of morphotype, 99.9% of individuals were attached such that the convex side of the body was oriented towards the oncoming ventilating water currents. Further, 93.3% of individuals attached to the posterior faces of filaments, leading to a predictable pattern of attachment for this species. It is suggested that the direction of body curvature develops in response to the direction of the ventilating water currents. (c) 2006 The Fisheries Society of the British Isles.

Electromyographic Analysis of Paravertebral Muscles in Patients with Idiopathic Scoliosis

Study Design. Prospective clinical electromyographic study in adolescents with idiopathic scoliosis and control group. Objective. To evaluate electromyographic amplitude from erector spinae muscles of patients with idiopathic scoliosis in comparison with control volunteers without spinal deformities. Summary of Background Data. Previous studies have indicated an increased electromyographic activity in paravertebral muscles in the convex side of the scoliotic curvature. However, in previous studies there is the absence or poor description of methods used, and some studies were conducted before the recording and processing recommendations for surface electromyographic signals had been described. Methods. Thirty individuals, matched by sex, age, and body mass index, were divided into two groups: scoliosis and control. The electric activity of the erector spinae muscles was determined by surface electromyography on both sides of the three levels of spine: T8, L2, and L5. Results. Normalized electromyographic amplitudes of erector spinae muscles, in the convex and concave sides of the apex region of the scoliotic curve in the thoracic and lumbar regions, were not significantly different. Also, there was no significant difference between the muscles of these regions when the scoliosis group was compared with the control group. The erector spinae muscle at the L5 level, representing the lower vertebral limit of the lumbar scoliotic curve, had significantly higher electromyographic activity on the convex side. However, the same alteration was shown in the control group homologous muscle (on the left side). Conclusion. Erector spinae muscles on the convex and concave sides at the curvature apex in patients with idiopathic scoliosis and small magnitude of curves did not show significant differences in electromyographic amplitude. Future studies should evaluate whether intragroup activation differences, at the L5 level in 80% of the maximum voluntary isometric contractions with predominance of the left side of the vertebral column, have any relation to the condition.

Class I malocclusion treatment: Influence of a missing mandibular incisor on anterior guidance

This case report describes the orthodontic treatment of a patient with a deep-overbite Angle Class I malocclusion, agenesis of a mandibular central incisor, and 2 supernumerary teeth, which caused impaction of the mandibular first premolars. The 15-year-old patient also had a convex profile, maxillary dentoalveolar protrusion, and deficiency of space for the correct alignment of teeth. Therefore, treatment consisted of fixed appliance therapy, cervical headgear, extraction of the supernumeraries and the mandibular and maxillary first premolars, and mesiodistal reduction of the maxillary incisors to solve the arch perimeter discrepancy as much as possible with interproximal stripping. This method of treatment significantly improved the patient`s facial and dental esthetics and provided a good functional occlusion, despite the absence of a mandibular incisor, which generally impairs achieving adequate incisal guidance. (Am J Orthod Dentofacial Orthop 2010;138:109-17)

On the Hopf bifurcation in control systems with a bounded nonlinearity asymptotically homogeneous at infinity

The paper studies existence, uniqueness, and stability of large-amplitude periodic cycles arising in Hopf bifurcation at infinity of autonomous control systems with bounded nonlinear feedback. We consider systems with functional nonlinearities of Landesman-Lazer type and a class of systems with hysteresis nonlinearities. The method is based on the technique of parameter functionalization and methods of monotone concave and convex operators. (C) 2001 Academic Press.

Cytotoxic effects and pulpal response caused by a mineral trioxide aggregate formulation and calcium hydroxide

Purpose: To evaluate: the in vivo pulpal response after pulpotomy with different capping agents. In addition, the in vitro cytotoxic effects of both materials were assessed by applying them on culture of pulp cells. Methods: For the in vivo test, the coronal pulp of 28 teeth of dogs was mechanically removed and the root pulps were capped with the following dental materials: Group 1: Pro-Root NITA (PRMTA); and Group 2 (control): calcium hydroxide saline paste (CH). After 60 days, the animals were sacrificed and the teeth processed for histological analysis. In the in vitro test, experimental extracts obtained from both capping agents were applied on the cultured MDPC-23 odontoblast-like cells. Results: In the root pulps capped with PRMTA or CH, coagulation necrosis partially replaced by dystrophic calcification as well as tubular dentin matrix laid down by elongated pulp cells was observed. None or mild inflammatory response occurred beneath the capped pulpal wound. Regarding the pulpal response, PRMTA and CH presented no statistical difference. However, the teeth capped CH presented greater healthy pulp loss which resulted in convex shape of the hard barrier than PRMTA. When applied on the cultured cells, it was demonstrated that PRMTA and CH solutions decreased the cell metabolic activity by 9.9% and 29.4%, respectively. CH caused higher cytotoxic effects to the MDPC-23 cells as well as deeper healthy pulp tissue loss than PRMTA. However, similar sequence of healing occurred after pulpotomy with both dental materials.

On positive solutions of nonlinear elliptic equations involving concave and critical nonlinearities

We study the existence of nonnegative solutions of elliptic equations involving concave and critical Sobolev nonlinearities. Applying various variational principles we obtain the existence of at least two nonnegative solutions.

Implicit vector equilibrium problems with applications

Let X and Y be Hausdorff topological vector spaces, K a nonempty, closed, and convex subset of X, C: K--> 2(Y) a point-to-set mapping such that for any x is an element of K, C(x) is a pointed, closed, and convex cone in Y and int C(x) not equal 0. Given a mapping g : K --> K and a vector valued bifunction f : K x K - Y, we consider the implicit vector equilibrium problem (IVEP) of finding x* is an element of K such that f (g(x*), y) is not an element of - int C(x) for all y is an element of K. This problem generalizes the (scalar) implicit equilibrium problem and implicit variational inequality problem. We propose the dual of the implicit vector equilibrium problem (DIVEP) and establish the equivalence between (IVEP) and (DIVEP) under certain assumptions. Also, we give characterizations of the set of solutions for (IVP) in case of nonmonotonicity, weak C-pseudomonotonicity, C-pseudomonotonicity, and strict C-pseudomonotonicity, respectively. Under these assumptions, we conclude that the sets of solutions are nonempty, closed, and convex. Finally, we give some applications of (IVEP) to vector variational inequality problems and vector optimization problems. (C) 2003 Elsevier Science Ltd. All rights reserved.

Quasiequilibrium problem in H-spaces

In the present paper, we study the quasiequilibrium problem and generalized quasiequilibrium problem of generalized quasi-variational inequality in H-spaces by a new method. Some new equilibrium existence theorems are given. Our results are different from corresponding given results or contain some recent results as their special cases. (C) 2003 Elsevier Science Ltd. All rights reserved.

Classical approach to interpretation of the charge-dependence of peptide mobilities obtained by capillary zone electrophoresis

Published mobility measurements obtained by capillary zone electrophoresis of human growth hormone peptides are described reasonably well by the classical theoretical relationships for electrophoretic migration. This conformity between theory and experiment has rendered possible a more critical assessment of a commonly employed empirical relationship between mobility (u), net charge (z) and molecular mass (M) of peptides in capillary electrophoresis. The assumed linear dependence between u and z/M-2/3 is shown to be an approximate description of a shallow curvilinear dependence convex to the abscissa. An improved procedure for the calculation of peptide charge (valence) is also described. (C) 2003 Elsevier B.V. All rights reserved.

Indicadores de qualidade do solo e determinação de níveis de degradação de pastagens

A utilização do solo no Brasil foi realizada de forma exploratória, com a conversão de sistemas naturais em sistemas agrícolas extrativistas. Grande parte das áreas de sistemas naturais deu lugar às áreas de cultivo, posteriormente sucedidas por pastagens, encontrando-se boa parte em elevado estágio de degradação. Diante do exposto, o presente trabalho tem como objetivo avaliar a sensibilidade de alguns atributos físicos, químicos, compartimentos da matéria orgânica e determinações de campo como indicadores de qualidade do solo estabelecendo relações entre os mesmos. O estudo foi desenvolvido no município de Governador Valadares-MG, para tal foram escolhidos níveis de pastagens progressivamente degradadas observadas visualmente (pastagem 1, pastagem 2, pastagem 3 e pastagem 4), duas áreas de capoeira em estágios de regeneração natural (capoeira 1 e capoeira 2) e mata (referência). O solo em estudo foi um Argissolo Vermelho, textura argilosa. As determinações dos indicadores físicos, químicos e compartimentos da matéria orgânica foram realizadas em quatro profundidades (0-5, 5-10, 10-20 e 20-40 cm). Foram realizadas também determinações de campo, todos os atributos foram determinados no terço médio de uma pedoforma convexa, em dois períodos, chuvoso e seco. Através dos atributos do solo utilizados como indicadores do solo, foi possível separar dois níveis de pastagens degradadas, baixa degradação (pastagem 1 e pastagem 2) e elevada degradação (pastagem 3 e pastagem 4). A melhor qualidade do solo foi observada na área de mata. Entre os atributos do solo utilizados como indicadores de qualidade do solo os mais sensíveis aos níveis de pastagens degradadas são os atributos químicos pH, Ca2+, Mg2+, Al3+, H+Al, saturação por bases (V), saturação por alumínio (m), seguidos pelos atributos físicos macroporosidade e porosidade total. Os compartimentos da matéria orgânica do solo, matéria orgânica particulada (MOP), matéria orgânica leve (MOL) e carbono solúvel em água (CSA) utilizados como indicadores de qualidade do solo são eficientes em diferenciar a qualidade do solo nas conversões de sistema, mata/pastagens e pastagens/capoeiras, não sendo sensível aos níveis de pastagens degradadas, o que sugere estudos futuros utilizado compartimentos mais sensíveis a pequenas variações. As determinações de campo espessura do horizonte “A”, profundidade do sistema radicular e taxa de cobertura do solo são sensíveis aos níveis de pastagens degradadas, e apresentam uma boa correlação com os indicadores de laboratório macroporosidade (Ma), matéria orgânica particulada (MOP), saturação por bases (V), saturação por alumínio (m) sugerindo assim a utilização dessas determinações como indicadores de qualidade do solo em pastagens degradadas, para o solo e a região estudados.

Abordagens metodológicas para avaliar risco de extinção de espécies de Brachyteles (Primates : Atelidae)

A distribuição geográfica de um táxon é limitada por aspectos ecológicos e históricos. Muitas atividades humanas têm causado modificações na cobertura vegetal, o que leva à fragmentação e perda do habitat. Isso tem levado à extinção local de populações de várias espécies, alterando sua distribuição geográfica. Entre elas estão as duas espécies do gênero Brachyteles (os muriquis), que são primatas endêmicos de um dos biomas mais afetados por esses processos, a Mata Atlântica. A União Internacional para a Conservação da Natureza (UICN) é uma organização que busca conservar a biodiversidade. Entre outros critérios, utiliza o conhecimento sobre as distribuições geográficas restritas das espécies para classificá-las em categorias de ameaça de extinção, nas chamadas listas vermelhas. Para isso, utiliza parâmetros espaciais, cujos resultados indicam o risco de extinção de determinado táxon em relação à sua distribuição geográfica. Muitas vezes os cálculos desses parâmetros são realizados de maneira subjetiva, de maneira que é importante a busca de métodos que tornem as classificações mais objetivas, precisas e replicáveis. Nesse contexto, o presente trabalho testou diferentes métodos de cálculos de três parâmetros relacionados à distribuição geográfica de B. hypoxanthus e B. arachnoides. Tratam-se de espécies ameaçadas de extinção, com localidades de ocorrência bem conhecidas, que foram profundamente afetadas pela degradação da Mata Atlântica. Assim, podem ser consideradas bons modelos para essas análises. Foi construído um banco de dados de localidades de ocorrência atuais das duas espécies. Por meio de abordagens de Sistemas de Informação Geográfica (SIG), foram estimadas a Extensão de Ocorrência (EOO) através de Mínimo Polígono Convexo e α-hull e Área de Ocupação (AOO) e Subpopulações por meio de métodos de grids, buffers circulares e α-hull, em diferentes escalas espaciais. Os resultados dos cálculos desses parâmetros foram comparados para identificar as abordagens e escalas mais adequadas para a avaliação de risco de extinção. Esses resultados indicam que as listas de localidades e os mapas de distribuição disponibilizados pela UICN precisam ser atualizados. Além disso, sugerem que α-hull é uma abordagem vantajosa para EOO e o método de buffers é mais adequado para os parâmetros de AOO e Subpopulações, quando utiliza escalas espaciais menores. Também foi utilizada a ferramenta GeoCAT, para as duas espécies. Essa ferramenta, por realizar análises de EOO e AOO instantâneas e por seus resultados serem semelhantes aos de outras análises, serve como uma abordagem preliminar de risco de extinção baseado no critério de distribuição geográfica.