Avaliação e espacialização da erosividade da chuva no Vale do Rio Doce, região centro-leste do Estado de Minas Gerais

Um fator muito atuante no processo erosivo e considerado de grande importância é o fator R, denominado erosividade da chuva. Esse fator é um dos componentes da equação universal de perdas de solo. Estudos de variabilidade espacial têm sido realizados almejando definir a distribuição espacial do fator R para determinada região. Objetivou-se com este trabalho calcular a erosividade da chuva (fator R - EI30) e gerar os mapas de espacialização desta. O estudo foi realizado em áreas experimentais de plantios de eucalipto localizadas em nove municípios, no Vale do Rio Doce, região centro-leste do Estado de Minas Gerais. Foram utilizados dados pluviográficos referentes ao período de janeiro de 2005 a dezembro de 2008. A espacialização da erosividade foi feita com base nos princípios da geoestatística, e a interpolação dos dados, por meio da krigagem. Os índices de erosividade anual variaram de 7.970 a 18.646 MJ mm ha-1 h-1 ano-1. O alcance para o índice de erosividade mensal variou de 10 a 177 km, e o anual foi de cerca de 52 km.

Biomassa e atividade microbiana em solo sob diferentes sistemas de manejo na região fisiográfica Campos das Vertentes - MG

A biomassa e a atividade microbiana têm sido apontadas como indicadores adequados de alterações provocadas por diferentes sistemas de uso e manejo do solo. O objetivo deste trabalho foi avaliar as alterações na biomassa e na atividade microbiana de um Latossolo Vermelho-Amarelo ácrico típico, sob Cerrado nativo e diferentes sistemas de manejo, na região fisiográfica Campos das Vertentes, Minas Gerais. Os sistemas avaliados foram: cultivo convencional com batata (CCB); cultivo com batata, sucedido por aveia e rotação com milho (CBAM); cultivo convencional com milho (CCM); plantio direto com milho (PDM); cultivo convencional com eucalipto (CCE); e o Cerrado nativo (CN) como referência. Foram coletadas amostras de solo nas profundidades de 0-10, 10-20 e 20-30 cm, analisados o C microbiano (Cmic) e a respiração basal e calculados o quociente metabólico (qCO2) e a relação Cmic/C orgânico. A biomassa e a atividade microbiana foram influenciadas pelos diferentes sistemas de manejo do solo, e as condições mais satisfatórias para a microbiota do solo ocorreram no Cerrado nativo. O manejo mais intensivo do solo e o uso frequente de agrotóxicos, característicos dos sistemas CCB e CBAM, determinaram redução nos teores de Cmic, menores valores da relação Cmic/C orgânico e maiores valores de qCO2, indicando uma provável condição de estresse para a biomassa microbiana.

Attention-related potentials allow for a highly accurate discrimination of mild cognitive impairment subtypes.

The three most frequent forms of mild cognitive impairment (MCI) are single-domain amnestic MCI (sd-aMCI), single-domain dysexecutive MCI (sd-dMCI) and multiple-domain amnestic MCI (md-aMCI). Brain imaging differences among single domain subgroups of MCI were recently reported supporting the idea that electroencephalography (EEG) functional hallmarks can be used to differentiate these subgroups. We performed event-related potential (ERP) measures and independent component analysis in 18 sd-aMCI, 13 sd-dMCI and 35 md-aMCI cases during the successful performance of the Attentional Network Test. Sensitivity and specificity analyses of ERP for the discrimination of MCI subgroups were also made. In center-cue and spatial-cue warning stimuli, contingent negative variation (CNV) was elicited in all MCI subgroups. Two independent components (ICA1 and 2) were superimposed in the time range on the CNV. The ICA2 was strongly reduced in sd-dMCI compared to sd-aMCI and md-aMCI (4.3 vs. 7.5% and 10.9% of the CNV component). The parietal P300 ERP latency increased significantly in sd-dMCI compared to md-aMCI and sd-aMCI for both congruent and incongruent conditions. This latency for incongruent targets allowed for a highly accurate separation of sd-dMCI from both sd-aMCI and md-aMCI with correct classification rates of 90 and 81%, respectively. This EEG parameter alone performed much better than neuropsychological testing in distinguishing sd-dMCI from md-aMCI. Our data reveal qualitative changes in the composition of the neural generators of CNV in sd-dMCI. In addition, they document an increased latency of the executive P300 component that may represent a highly accurate hallmark for the discrimination of this MCI subgroup in routine clinical settings.

Atributos físicos, químicos e biológicos do solo em ambientes de voçorocas no município de Lavras - MG

A região Sul de Minas Gerais apresenta grandes áreas comprometidas por erosões do tipo voçoroca, e a avaliação dos atributos do solo nesses ambientes é de extrema importância, pela sua sensibilidade às alterações na qualidade do solo. Os objetivos deste estudo foram avaliar os atributos físicos, químicos e biológicos dos solos e suas relações com a cobertura vegetal ocorrente no interior das voçorocas. O estudo foi realizado em três voçorocas, uma sob Cambissolo Háplico e as outras duas sob Latossolo Vermelho-Amarelo - LVA1 e LVA2, localizadas em Lavras, MG. Diferentes ambientes das voçorocas foram avaliados, compreendendo o leito, o terço médio sem vegetação (TMSV) e o terço médio com vegetação (TMCV), que foram comuns às três voçorocas, bem como outros dois ambientes encontrados na voçoroca sob LVA2: terço médio com eucalipto (TMEucalipto) e terço médio com candeia (Eremanthus incanus) (TMCandeia), além de áreas sob vegetação nativa (VN), próximas de cada voçoroca, adotadas como referência. Entre os atributos físicos, os mais alterados foram volume total de poros (VTP), macro e microporosidade e densidade do solo (Ds). A erosão hídrica provocou decréscimo acentuado na fertilidade do solo, expresso pela redução de Ca2+, Mg2+, K+, P e teores de matéria orgânica, além do acréscimo dos teores de Al3+, H + Al e saturação por Al3+ (m). Entre os atributos biológicos analisados, o C da biomassa microbiana apresentou reduções superiores a 80 % nos ambientes TMSV nas voçorocas sob Cambissolo e LVA1 e leito sob LVA2, em relação às suas respectivas áreas de referência. O qCO2 mostrou-se um índice sensível às alterações do ambiente, e os maiores valores encontrados foram no leito, ocasionados pelo excesso de umidade, e no ambiente TMSV, devido ao baixo teor de matéria orgânica e à ausência de vegetação. O número de esporos de fungos micorrízicos arbusculares apresentou decréscimo superior a 75 % nos ambientes mais degradados. Os resultados evidenciam que os atributos de solo analisados foram sensíveis às alterações nos ambientes de voçorocas e podem servir como indicadores para o monitoramento da dinâmica de ambientes degradados pela erosão hídrica.

Qualidade química e física do solo sob vegetação arbórea nativa e pastagens no Pantanal Sul-Mato-Grossense

A busca por aumento de produtividade da pecuária pantaneira tem motivado o desmatamento de áreas florestadas para a implantação de pastagem cultivada, gerando preocupação quanto à sustentabilidade dos recursos naturais. Para estudar alguns aspectos de uso do solo no Pantanal Sul-Mato-Grossense, este trabalho teve por objetivo avaliar as alterações nos atributos químicos e físicos do solo em razão da conversão da vegetação arbórea nativa em pastagem cultivada, bem como da submissão da pastagem nativa ao sistema de pastejo contínuo. Os ambientes de estudo consistiram de três remanescentes de vegetação arbórea nativa, representadas por uma floresta semidecídua (FN) e dois cerradões (CE1 e CE2), três pastagens de Brachiaria decumbens com 27, 26 e 11 anos de formação, implantadas em substituição a FN, CE1 e CE2, respectivamente, e uma pastagem nativa caracterizada pela predominância de Mesosetum chaseae e Axonopus purpusii, submetida a três diferentes sistemas de pastejo (contínuo e sem pastejo por 3 e 19 anos). Amostras de solo, deformadas e indeformadas, foram coletadas em cada ambiente de estudo, nas profundidades de 0-10 e 10-20 cm, com três repetições. A substituição da vegetação arbórea nativa por pastagem cultivada e o sistema de pastejo contínuo da pastagem nativa determinaram redução da qualidade química do solo, evidenciada principalmente por perdas de matéria orgânica do solo, notadamente na profundidade de 0-10 cm. Embora a qualidade física do solo também tenha apresentado tendência à redução nas pastagens cultivada e nativa sob pastejo contínuo, a densidade do solo, porosidade total, macroporosidade, microporosidade, condutividade hidráulica do solo saturado e resistência do solo à penetração não atingiram valores considerados limitantes ao desenvolvimento do sistema radicular.

Event-related potentials and changes of brain rhythm oscillations during working memory activation in patients with first-episode psychosis.

Background: Earlier contributions have documented significant changes in sensory, attention-related endogenous event-related potential (ERP) components and θ band oscillatory responses during working memory activation in patients with schizophrenia. In patients with first-episode psychosis, such studies are still scarce and mostly focused on auditory sensory processing. The present study aimed to explore whether subtle deficits of cortical activation are present in these patients before the decline of working memory performance. Methods: We assessed exogenous and endogenous ERPs and frontal θ event-related synchronization (ERS) in patients with first-episode psychosis and healthy controls who successfully performed an adapted 2-back working memory task, including 2 visual n-backworking memory tasks as well as oddball detection and passive fixation tasks. Results: We included 15 patients with first-episode psychosis and 18 controls in this study. Compared with controls, patients with first-episode psychosis displayed increased latencies of early visual ERPs and phasic θ ERS culmination peak in all conditions. However, they also showed a rapid recruitment of working memory-related neural generators, even in pure attention tasks, as indicated by the decreased N200 latency and increased amplitude of sustained θ ERS in detection compared with controls. Limitations: Owing to the limited sample size, no distinction was made between patients with first-episode psychosis with positive and negative symptoms. Although we controlled for the global load of neuroleptics, medication effect cannot be totally ruled out. Conclusion: The present findings support the concept of a blunted electroencephalographic response in patients with first-episode psychosis who recruit the maximum neural generators in simple attention conditions without being able to modulate their brain activation with increased complexity of working memory tasks.

Gauge transformations in the Lagrangian and Hamilton formalisms of generally covariant theories

We study spacetime diffeomorphisms in the Hamiltonian and Lagrangian formalisms of generally covariant systems. We show that the gauge group for such a system is characterized by having generators which are projectable under the Legendre map. The gauge group is found to be much larger than the original group of spacetime diffeomorphisms, since its generators must depend on the lapse function and shift vector of the spacetime metric in a given coordinate patch. Our results are generalizations of earlier results by Salisbury and Sundermeyer. They arise in a natural way from using the requirement of equivalence between Lagrangian and Hamiltonian formulations of the system, and they are new in that the symmetries are realized on the full set of phase space variables. The generators are displayed explicitly and are applied to the relativistic string and to general relativity.

Gauge group and reality conditions in Ashtekar's complex formulation of canonical gravity

We discuss reality conditions and the relation between spacetime diffeomorphisms and gauge transformations in Ashtekars complex formulation of general relativity. We produce a general theoretical framework for the stabilization algorithm for the reality conditions, which is different from Diracs method of stabilization of constraints. We solve the problem of the projectability of the diffeomorphism transformations from configuration-velocity space to phase space, linking them to the reality conditions. We construct the complete set of canonical generators of the gauge group in the phase space which includes all the gauge variables. This result proves that the canonical formalism has all the gauge structure of the Lagrangian theory, including the time diffeomorphisms.

Three essays in financial economics: asset pricing, optimal portfolio selection and financial integration

Executive Summary The unifying theme of this thesis is the pursuit of a satisfactory ways to quantify the riskureward trade-off in financial economics. First in the context of a general asset pricing model, then across models and finally across country borders. The guiding principle in that pursuit was to seek innovative solutions by combining ideas from different fields in economics and broad scientific research. For example, in the first part of this thesis we sought a fruitful application of strong existence results in utility theory to topics in asset pricing. In the second part we implement an idea from the field of fuzzy set theory to the optimal portfolio selection problem, while the third part of this thesis is to the best of our knowledge, the first empirical application of some general results in asset pricing in incomplete markets to the important topic of measurement of financial integration. While the first two parts of this thesis effectively combine well-known ways to quantify the risk-reward trade-offs the third one can be viewed as an empirical verification of the usefulness of the so-called "good deal bounds" theory in designing risk-sensitive pricing bounds. Chapter 1 develops a discrete-time asset pricing model, based on a novel ordinally equivalent representation of recursive utility. To the best of our knowledge, we are the first to use a member of a novel class of recursive utility generators to construct a representative agent model to address some long-lasting issues in asset pricing. Applying strong representation results allows us to show that the model features countercyclical risk premia, for both consumption and financial risk, together with low and procyclical risk free rate. As the recursive utility used nests as a special case the well-known time-state separable utility, all results nest the corresponding ones from the standard model and thus shed light on its well-known shortcomings. The empirical investigation to support these theoretical results, however, showed that as long as one resorts to econometric methods based on approximating conditional moments with unconditional ones, it is not possible to distinguish the model we propose from the standard one. Chapter 2 is a join work with Sergei Sontchik. There we provide theoretical and empirical motivation for aggregation of performance measures. The main idea is that as it makes sense to apply several performance measures ex-post, it also makes sense to base optimal portfolio selection on ex-ante maximization of as many possible performance measures as desired. We thus offer a concrete algorithm for optimal portfolio selection via ex-ante optimization over different horizons of several risk-return trade-offs simultaneously. An empirical application of that algorithm, using seven popular performance measures, suggests that realized returns feature better distributional characteristics relative to those of realized returns from portfolio strategies optimal with respect to single performance measures. When comparing the distributions of realized returns we used two partial risk-reward orderings first and second order stochastic dominance. We first used the Kolmogorov Smirnov test to determine if the two distributions are indeed different, which combined with a visual inspection allowed us to demonstrate that the way we propose to aggregate performance measures leads to portfolio realized returns that first order stochastically dominate the ones that result from optimization only with respect to, for example, Treynor ratio and Jensen's alpha. We checked for second order stochastic dominance via point wise comparison of the so-called absolute Lorenz curve, or the sequence of expected shortfalls for a range of quantiles. As soon as the plot of the absolute Lorenz curve for the aggregated performance measures was above the one corresponding to each individual measure, we were tempted to conclude that the algorithm we propose leads to portfolio returns distribution that second order stochastically dominates virtually all performance measures considered. Chapter 3 proposes a measure of financial integration, based on recent advances in asset pricing in incomplete markets. Given a base market (a set of traded assets) and an index of another market, we propose to measure financial integration through time by the size of the spread between the pricing bounds of the market index, relative to the base market. The bigger the spread around country index A, viewed from market B, the less integrated markets A and B are. We investigate the presence of structural breaks in the size of the spread for EMU member country indices before and after the introduction of the Euro. We find evidence that both the level and the volatility of our financial integration measure increased after the introduction of the Euro. That counterintuitive result suggests the presence of an inherent weakness in the attempt to measure financial integration independently of economic fundamentals. Nevertheless, the results about the bounds on the risk free rate appear plausible from the view point of existing economic theory about the impact of integration on interest rates.

Consistência hidrológica de modelos digitais de elevação (MDE) para definição da rede de drenagem na sub-bacia do horto florestal Terra Dura, Eldorado do Sul, RS

O desenvolvimento da erosão hídrica ocorre em resposta ao modo como a água se move através e sobre uma determinada paisagem. O modelo digital de elevação (MDE) deve, portanto, ser o mais preciso possível, uma vez que constitui a base para a análise do relevo. Este trabalho teve como objetivo definir um modelo digital de elevação hidrologicamente consistente (MDEHC) e o método de direção de fluxo mais adequado para a definição da rede de drenagem na sub-bacia do horto florestal Terra Dura, município de Eldorado do Sul, RS. Foram testados os modelos gerados com os interpoladores Topogrid e redes triangulares irregulares (Triangulated Irregular Network -TIN) linear (TIN L) e TIN natural neighbor (TIN NN). A qualidade em relação às análises hidrológicas foi avaliada por meio da comparação das curvas de nível geradas pelos modelos testados com as curvas originais da sub-bacia (escala 1:10.000); da avaliação da quantidade de áreas planas; e da comparação da drenagem gerada pelos modelos a partir dos métodos de direção de fluxo Deterministic (D8) e Deterministic infinity (D∞ ou D infinito) com a drenagem original. Entre os modelos avaliados, o Topogrid apresentou maior consistência hidrológica, verificada na melhor continuidade das curvas de nível (menos arestas) e maior detalhamento da área de drenagem e divisores, acarretando menor quantidade de áreas planas e caminhos de fluxo mais detalhados, independentemente do método de direção de fluxo utilizado. Em relação à rede de drenagem, o método distribuído D∞ obteve melhor desempenho na descrição dos caminhos de fluxo, comparado ao método de direção única D8. O MDEHC Topogrid associado ao método D∞ proporcionou a identificação mais precisa dos caminhos preferenciais do fluxo que formam a rede de drenagem.

Poincaré is a subgroup of Galilei in one space dimension more

Through an imaginary change of coordinates, the ordinary Poincar algebra is shown to be a subalgebra of the Galilei one in four space dimensions. Through a subsequent contraction the remaining Lie generators are eliminated in a natural way. An application of these results to connect Galilean and relativistic field equations is discussed.

Noether's theorem and gauge transformations. Application to the bosonic string and CP(2,n-1) model

New results on the theory of constrained systems are applied to characterize the generators of Noethers symmetry transformations. As a byproduct, an algorithm to construct gauge transformations in Hamiltonian formalism is derived. This is illustrated with two relevant examples.

Perturbation theory and locality in the Field-Antifield formalism

The BatalinVilkovisky formalism is studied in the framework of perturbation theory by analyzing the antibracket BecchiRouetStoraTyutin (BRST) cohomology of the proper solution S0. It is concluded that the recursive equations for the complete proper solution S can be solved at any order of perturbation theory. If certain conditions on the classical action and on the gauge generators are imposed the solution can be taken local.

Soil losses from typic cambisols and red latosol as related to three erosive rainfall patterns

Rainfall erosivity is one of the main factors related to water erosion in the tropics. This work focused on relating soil loss from a typic dystrophic Tb Haplic Cambisol (CXbd) and a typic dystrophic Red Latosol (LVdf) to different patterns of natural erosive rainfall. The experimental plots of approximately 26 m² (3 x 8.67 m) consisted of a CXbd area with a 0.15 m m-1 slope and a LVdf area with 0.12 m m-1 slope, both delimited by galvanized plates. Drainpipes were installed at the lower part of these plots to collect runoff, interconnected with a Geib or multislot divisor. To calculate erosivity (EI30), rainfall data, recorded continuously at a weather station in Lavras, were used. The data of erosive rainfall events were measured (10 mm precipitation intervals, accuracy 0.2 mm, 24 h period, 20 min intervals), characterized as rainfall events with more than 10 mm precipitation, maximum intensity > 24 mm h-1 within 15 min, or kinetic energy > 3.6 MJ, which were used in this study to calculate the rainfall erosivity parameter, were classified according to the moment of peak precipitation intensity in advanced, intermediate and delayed patterns. Among the 139 erosive rainfall events with CXbd soil loss, 60 % were attributed to the advanced pattern, with a loss of 415.9 Mg ha-1, and total losses of 776.0 Mg ha-1. As for the LVdf, of the 93 erosive rainfall events with soil loss, 58 % were listed in the advanced pattern, with 37.8 Mg ha-1 soil loss and 50.9 Mg ha-1 of total soil loss. The greatest soil losses were observed in the advanced rain pattern, especially for the CXbd. From the Cambisol, the soil loss per rainfall event was greatest for the advanced pattern, being influenced by the low soil permeability.