<div>This thesis has three major chapters. Structural estimation of non-homothetic demands is the element that is the most common across the three papers in which structural parameters from the data.<br></div><div><br></div><div><b>First Chapter</b>: Preference structures in applied general equilibrium models are commonly in favor of the family of linear expenditure system (LES) due to the desire for global regularity and applicability, while other emerging preference functions include the constant-elasticity-of-substitution (CES) forms that are used as sub-utility functions to fulfil regularity conditions with additional flexibilities. Hanoch (1975) introduces indirect, implicit additive relationships—a generalization of the CES—to obtain more flexible demand relationships that are globally regular. These preference relationships unlink substitution effects from income effects in ways that go beyond relaxation of homotheticity, and are more flexible than their direct dual. However, the estimation of these models as demand systems has proven to be challenging, and most published work in this area has focused on estimation approaches that involve approximations or that cannot fully identify parameter values in the preference relationships. Essay one introduces a direct approach which avoids approximations and allows parameters to be identified. We demonstrate the estimation using the readily accessible Global Trade Analysis Project (GTAP) and the confidential World Bank (International Comparison Program) databases, estimating the constant difference of elasticity or CDE directly in a maximum likelihood framework. In doing this, we show that the global regularity conditions stated in Hanoch (1975) can be slightly relaxed, and that the relaxed parametric conditions facilitate estimation. We introduce a normalization scheme that is beneficial for the scaling of the parameter values and which appears to have little impact on the economic performance of the estimated system. We develop a numerical test that justifies the normalization scheme. The series of procedures developed in this paper applied to this empirical example is generalized to solve many other econometric problems of general demand models of the Bergson family and those that are under-identified using reduced-form approaches. </div><div><br></div><div><b>Second Chapter</b>: This paper presents a general equilibrium gravity model of trade based on the constant difference of elasticities of substitution preferences. Hanoch (1975) illustrates these preferences' advantages in terms of parsimony and flexibility. This paper introduces a parsimonious, non-homothetic and globally well-behaved demand model into the gravity model that both separates substitution effects from income effects and has non-constant substitution elasticities. These features of the demand model---together with the structural estimation procedure devised in this paper---allow nesting several prominent theoretical motivations for the gravity model, and exploring the merits of this more general model. They also allow identification of the elasticity of trade costs with respect to distance and asymmetric border coefficients from the elasticity of trade flows with respect to trade costs. Most previous studies cannot separately identify these structural parameters. </div><div><br></div><div><b>Third Chapter</b>: The primary advantage of structural approaches to estimating the gravity model of trade is that they allow a transparent mapping of regression coefficients to structural parameters. Unfortunately, as shown in essay two, existing structural estimation methods are unable to separately identify trade costs and the trade elasticity without incorporating external data. We demonstrate that theoretical structure is alone sufficient for identifying all of the structural parameters of the canonical constant elasticity of substitution (CES) gravity model. We accomplish this by adopting an implicitly indirect representation of utility and estimating structurally using a mathematical program with equilibrium constraints. Our estimate of the elasticity of substitution is much smaller than in much of the rest of the literature, an outcome that we attribute to Pigou's Law, which ties income and substitution elasticities together in demand systems that assume additive preferences. This restriction is undesirable in demand systems, generally, and is a critical weakness for the canonical gravity model, a model that is commonly used to interpret the geographic trade pattern and to infer the welfare gains from trade. We demonstrate a non-homothetic CES model that both achieves identification and relaxes this restriction. Our counterfactual results based on the model suggest that the combination of a lower elasticity and lower trade costs generate a larger welfare change due to border removal compared to the CES model.<br></div>

Este trabalho tem como objetivo a identificação de feições que permitam (1) a construção do arcabouço crustal profundo e da porção superior do manto em parte da Costa de Angola, (2) a comparação deste arcabouço com o embasamento aflorante e (3) a tentativa de adequar estes resultados aos modelos de ruptura continental já publicados. Para alcançar estes objetivos foi feita a interpretação de cinco linhas sísmicas de reflexão profundas (25 Km de profundidade) na costa de Angola, nas Bacias de Kwanza e Baixo Congo, adquiridas pela ION-GXT. As feições identificadas na sísmica de reflexão auxiliaram na determinação dos limites da crosta continental superior e inferior, no reconhecimento das camadas que compõem a crosta oceânica e na identificação da Descontinuidade de Mohorovicic (que marca o limite entre crosta e manto). A interpretação sísmica associada a dados da literatura (que proporcionaram valores de densidade para os pacotes identificados na interpretação sísmica) permitiram a realização de uma modelagem gravimétrica que foi comparada ao dado gravimétrico adquirido durante a aquisição sísmica. A modelagem gravimétrica serviu para validar a interpretação sísmica, atuando como um controle de qualidade para a interpretação. Caso a anomalia gravimétrica gerada pela modelagem não estivesse de acordo com a anomalia medida, a interpretação sísmica era revista na tentativa de um melhor ajuste entre o resultado modelado e o medido. Este ajuste, no entanto, sempre foi feito honrando os refletores que estavam bem marcados na sísmica. Somado a isto, ainda foi utilizado o dado magnético adquirido no campo, no auxilio da interpretação. O arcabouço crustal obtido com a utilização deste método permitiu a comparação dos resultados da interpretação com os modelos de evolução de margens passivas existentes na literatura, mostrando muitos pontos em comum aos modelos que defendem a possibilidade de ocorrência de manto exumado em margens passivas pobres em magmatismo. A interpretação final destes dados mostrou um domínio proximal marcado por uma crosta continental espessa porém pouco afinada em contato com um domínio distal marcado por uma crosta continental muito afinada (crosta hiper-estirada) e, em direção ao centro do oceano, uma região em que ocorre a exumação do manto. A passagem do domínio proximal para o distal ocorre de forma rápida em uma região denominada Zona de Estrangulamento. À oeste do manto exumado é possível identificar a crosta oceânica. O cruzamento dos resultados obtidos neste trabalho com dados do embasamento aflorante no continente africano sugerem um controle do deste nos valores finais de afinamento da crosta continental sob a bacia e nas regiões de manto exumado. Trabalhos recentes realizados na costa de Angola e do Brasil mostram feições semelhantes às identificadas nesta dissertação. / The main objectives of this study are to identify features on seismic data that allow (1) the building of a deep crustal framework and of the upper portion of the mantle, in part of the Angolan margin; (2) to compare this framework with the adjacent outcropping basement of the African continent and; (3) to try to fit these results to the published continental breakup models. In order to achieve these objectives, five deep reflection seismic lines (25 km of depth) situated in the in Kwanza and Lower Congo Basins on the passive margin of Angola were interpreted. The features identified on seismic were useful to recognize the tripartite division that caracterize the oceanic crust and in defining the Mohorovicic Discontinuity (that represents the limit between crust and mantle). The seismic interpretation associated with the data obtained from the scientific literature (that provided density values for the packages identified on seismic interpretation) allowed the establishment of a gravity modeling that was compared to the gravity data acquired during the seismic acquisition. The gravity model was useful to validate the seismic interpretation, acting as a quality control of the latter. In case of the gravity anomaly generated by the modeling not being in accordance with the measured anomaly, the seismic interpretation was revised in order to obtain a better adjustment between the modeled and the measured result. This adjustment, however, was always done honoring the reflectors that were clearly positioned on seismic. In addition, the magnetic data acquired on the field was used to help on interpretation. The crustal framework obtained by the methodology described above was compared with the passive margin evolution models found on scientific literature, showing some points in common with the models that postulate the occurrence of exhumed mantle in magma-poor passive margins. The final interpretation of these data showed the existence of a proximal domain characterized by a thick continental crust slightly thinned in contact with a distal domain marked by a hyper-extended continental crust. Oceanwards there is a region where the exhumation of the mantle took place. The passage of the proximal to the distal domain is abrupt, here termed as a Necking Zone. Oceanic crust is identified to the west of exhumed mantle. The comparison of the results obtained in this study with data from the outcropping basement on the African continent suggests a basement control on the vales of continental crust thinning attained under the basins and on the regions of exhumed mantle. Recent works done on the Angolan and Brazilian margins show features similar to the ones identified on this dissertation.

The vast distribution and long duration of the Late Mesozoic magmatism in the eastern part of South China presents a unique case in the world. This offers a natural laboratory to study the process of magma genesis, the magma emplacement mode, the relationship between magmatism and tectonics, the geodynamic role on the magma emplacement and lithospheric evolution. Since 50's, particularly 90's of the last century, geoscientists have made important efforts in geological cartography and carried out numerous studies with remarkable scientific achievements, building a solid background to understand the tectonic evolution of the South China Block (SCB). However, certain fundamental questions mentioned above remain unsolved and/or are in hot debate. In order to make progress in these scientific issues, we have carried out in a multi-disciplinary study in the Late Mesozoic Qingyang-Jiuhua massif, Hengshan massif and Fujian coastal zone according to their distance with respect to the paleo subduction zone of the Paleo-Pacific plate, the ages of granitic massifs and related tectonics, including field observation on the structure geology, micro-observation on thin section, U-Pb dating on monazite, AMS, paleomagnetism, gravity modeling and P condition concern the granite emplacement. In the view of deformation in these granitic massifs and their country rocks, mode and influence of regional tectonics on the emplacement, though each studied zone reveals its distinguished characteristics, they show some intrinsic and common relationships between them. With our new results and integrating previous data, in this thesis, we discuss the tectonic context of emplacement of these Late Mesozoic magmatic massifs and the geodynamic evolution of the SCB., We propose a 3-step geodynamic model: (1) during 145-130 Ma period, the Paleo-Pacific plate subducted northwestwardly, the West Philippines micro-continent, approaching to SCB, important subduction-related arc volcanism was produced in the coastal areas of Southeast China coast (Zhejiang-Fujian-Guangdong), forming a back-arc extension tectonic system in SCB; (2) during 130-110 Ma period, due to the collision between the West Philippines microcontinent and SCB, the compressional tectonic structures were developed in the Changle-Na'ao coastal zone, producing ductile deformation zones. However, the inland of the eastern part of SCB was under a NW-SE extensional tectonic regime; (3) during 105-90 Ma period, a new subduction zone was developed in the SE flank of the West Philippines micro-continent, the subducting slab reached the Changle-Nan'ao tectonic belt, with the possible break-off of slab, the asthenospheric ascent was responsible for the important emplacement of plutonic massifs and dykes. The tectonics of the eastern part of SCB was characterized by a general extensional system in this period. This tectonic pattern has been significantly disturbed by the Oligocene-Eocene opening of the South China sea,and the Miocene shortening of the SCB margin in Taiwan. Of course, this model should be improved by more geological, geophysical and geochemical investigations.

Este trabalho tem como objetivo a identificação de feições que permitam (1) a construção do arcabouço crustal profundo e da porção superior do manto em parte da Costa de Angola, (2) a comparação deste arcabouço com o embasamento aflorante e (3) a tentativa de adequar estes resultados aos modelos de ruptura continental já publicados. Para alcançar estes objetivos foi feita a interpretação de cinco linhas sísmicas de reflexão profundas (25 Km de profundidade) na costa de Angola, nas Bacias de Kwanza e Baixo Congo, adquiridas pela ION-GXT. As feições identificadas na sísmica de reflexão auxiliaram na determinação dos limites da crosta continental superior e inferior, no reconhecimento das camadas que compõem a crosta oceânica e na identificação da Descontinuidade de Mohorovicic (que marca o limite entre crosta e manto). A interpretação sísmica associada a dados da literatura (que proporcionaram valores de densidade para os pacotes identificados na interpretação sísmica) permitiram a realização de uma modelagem gravimétrica que foi comparada ao dado gravimétrico adquirido durante a aquisição sísmica. A modelagem gravimétrica serviu para validar a interpretação sísmica, atuando como um controle de qualidade para a interpretação. Caso a anomalia gravimétrica gerada pela modelagem não estivesse de acordo com a anomalia medida, a interpretação sísmica era revista na tentativa de um melhor ajuste entre o resultado modelado e o medido. Este ajuste, no entanto, sempre foi feito honrando os refletores que estavam bem marcados na sísmica. Somado a isto, ainda foi utilizado o dado magnético adquirido no campo, no auxilio da interpretação. O arcabouço crustal obtido com a utilização deste método permitiu a comparação dos resultados da interpretação com os modelos de evolução de margens passivas existentes na literatura, mostrando muitos pontos em comum aos modelos que defendem a possibilidade de ocorrência de manto exumado em margens passivas pobres em magmatismo. A interpretação final destes dados mostrou um domínio proximal marcado por uma crosta continental espessa porém pouco afinada em contato com um domínio distal marcado por uma crosta continental muito afinada (crosta hiper-estirada) e, em direção ao centro do oceano, uma região em que ocorre a exumação do manto. A passagem do domínio proximal para o distal ocorre de forma rápida em uma região denominada Zona de Estrangulamento. À oeste do manto exumado é possível identificar a crosta oceânica. O cruzamento dos resultados obtidos neste trabalho com dados do embasamento aflorante no continente africano sugerem um controle do deste nos valores finais de afinamento da crosta continental sob a bacia e nas regiões de manto exumado. Trabalhos recentes realizados na costa de Angola e do Brasil mostram feições semelhantes às identificadas nesta dissertação. / The main objectives of this study are to identify features on seismic data that allow (1) the building of a deep crustal framework and of the upper portion of the mantle, in part of the Angolan margin; (2) to compare this framework with the adjacent outcropping basement of the African continent and; (3) to try to fit these results to the published continental breakup models. In order to achieve these objectives, five deep reflection seismic lines (25 km of depth) situated in the in Kwanza and Lower Congo Basins on the passive margin of Angola were interpreted. The features identified on seismic were useful to recognize the tripartite division that caracterize the oceanic crust and in defining the Mohorovicic Discontinuity (that represents the limit between crust and mantle). The seismic interpretation associated with the data obtained from the scientific literature (that provided density values for the packages identified on seismic interpretation) allowed the establishment of a gravity modeling that was compared to the gravity data acquired during the seismic acquisition. The gravity model was useful to validate the seismic interpretation, acting as a quality control of the latter. In case of the gravity anomaly generated by the modeling not being in accordance with the measured anomaly, the seismic interpretation was revised in order to obtain a better adjustment between the modeled and the measured result. This adjustment, however, was always done honoring the reflectors that were clearly positioned on seismic. In addition, the magnetic data acquired on the field was used to help on interpretation. The crustal framework obtained by the methodology described above was compared with the passive margin evolution models found on scientific literature, showing some points in common with the models that postulate the occurrence of exhumed mantle in magma-poor passive margins. The final interpretation of these data showed the existence of a proximal domain characterized by a thick continental crust slightly thinned in contact with a distal domain marked by a hyper-extended continental crust. Oceanwards there is a region where the exhumation of the mantle took place. The passage of the proximal to the distal domain is abrupt, here termed as a Necking Zone. Oceanic crust is identified to the west of exhumed mantle. The comparison of the results obtained in this study with data from the outcropping basement on the African continent suggests a basement control on the vales of continental crust thinning attained under the basins and on the regions of exhumed mantle. Recent works done on the Angolan and Brazilian margins show features similar to the ones identified on this dissertation.

La vaste distribution géographique et la longue durée du magmatisme au Mésozoïque supérieur (Jurassique et Crétacé) en Chine du Sud présente le cas unique dans le monde. Ceci présente un laboratoire naturel très favorable a l’étude des processus de magmatogénèse, et des modes de mise place des plutons granitiques. Il permet également d’aborder l’analyse des relations magmatisme-tectonique et les contextes géodynamiques de la mise en place de magma dans leur cadre lithosphérique. Depuis les années 50, et surtout les années 90, des scientifiques ont mis un effort important sur la cartographie géologique, mené des études pétrologiques et géochronologiques et ainsi obtenu une base solide pour la compréhension de l’évolution tectonique du Bloc de Chine du Sud (SCB). Cependant, des questions fondamentales restent encore sans réponses ou vivement débattues. Dans le but de progresser sur ces sujets fondamentaux, nous avons mené des études pluridisciplinaires sur les massifs d’âge Mésozoïque supérieur de Qingyang-Jiuhua (Province d’Anhui), Hengshan (Province de Hunan) et certains plutons affleurant dans la zone côtière du Fujian. Le choix des massifs est fonde sur leur distance variable par rapport à la paléozone de subduction, les âges comparables de ces massifs et les déformations associées. Les méthodes d’étude comprennent l’observation de terrain, l’analyse microscopique de lames minces, la datation par U-Pb de monazite, l’ASM, le paléomagnétisme, la modélisation gravimétrique et la barométrie à partir de Al-total dans l’amphibole magmatique. Bien que chaque massif présente des caractéristiques distinctes, ils partagent des points communs du point de vue de leur orientation préférentielle, de la déformation de leurs encaissants et de l’influence de la tectonique régionale sur leur mise en place, D’après nos nouveaux résultats et en intégrant les données précédentes, nous discutons dans cette thèse les contextes tectoniques de mise en place de ces massifs granitiques et l’évolution géodynamique de SCB, et proposons un scénario géodynamique en 3 étapes. (1) Pendant la période 145-130 Ma, la subduction vers le NW de la plaque Paléo-Pacifique sous le continent asiatique fait rapprocher le micro-continent de l’Ouest-Philippines avec le continent de Chine du Sud, produisant l’important magmatisme d’arc et formant un régime tectonique en extension en SCB ? Dans l’arrière-arc; (2) Pendant la période 130-110 Ma, dûe à la collision entre le micro-continent de l’Ouest Philippines et SCB, une structure compressive vers le NW a été développée dans la zone de Changle Nan’ao, produisant des déformations ductiles. Cependant, l’intérieur de la partie orientale du SCB était encore en régime tectonique extensif de direction NW-SE; (3) Pendant la période 105-90Ma, une nouvelle zone de subduction a été développée au SE du micro-continent de l’Ouest Philippines, le panneau subductant atteint la zone de Changle-Nan’ao, avec probablement des morceaux de panneau cassé, provocant l’ascension de l’asthénosphère, responsable de la mise en place d’importants massifs granitiques et de filons. La tectonique de SCB pendant cette période est caractérisée par un système tectonique d’extension générale. Ce dispositif a été significativement perturbe par l’ouverture oligo-miocène de la mer de Chine du Sud et par la compression miocène de la marge à Taiwan. Ce modèle géodynamique reste à être amélioré par de futures investigations géologiques, géophysiques et géochimiques. / The vast distribution and long duration of the Late Mesozoic magmatism in the eastern part of South China presents a unique case in the world. This offers a natural laboratory to study the process of magma genesis, the magma emplacement mode, the relationship between magmatism and tectonics, the geodynamic role on the magma emplacement and lithospheric evolution. Since 50’s, particularly 90’s of the last century, geoscientists have made important efforts in geological cartography and carried out numerous studies with remarkable scientific achievements, building a solid background to understand the tectonic evolution of the South China Block (SCB). However, certain fundamental questions mentioned above remain unsolved and/or are in hot debate. In order to make progress in these scientific issues, we have carried out in a multi-disciplinary study in the Late Mesozoic Qingyang-Jiuhua massif, Hengshan massif and Fujian coastal zone according to their distance with respect to the paleo subduction zone of the Paleo-Pacific plate, the ages of granitic massifs and related tectonics, including field observation on the structure geology, micro-observation on thin section, U-Pb dating on monazite, AMS, paleomagnetism, gravity modeling and P condition concern the granite emplacement. In the view of deformation in these granitic massifs and their country rocks, mode and influence of regional tectonics on the emplacement, though each studied zone reveals its distinguished characteristics, they show some intrinsic and common relationships between them. With our new results and integrating previous data, in this thesis, we discuss the tectonic context of emplacement of these Late Mesozoic magmatic massifs and the geodynamic evolution of the SCB., We propose a 3-step geodynamic model: (1) during 145-130 Ma period, the Paleo-Pacific plate subducted northwestwardly, the West Philippines micro-continent, approaching to SCB, important subduction-related arc volcanism was produced in the coastal areas of Southeast China coast (Zhejiang-Fujian-Guangdong), forming a back-arc extension tectonic system in SCB; (2) during 130-110 Ma period, due to the collision between the West Philippines microcontinent and SCB, the compressional tectonic structures were developed in the Changle-Na’ao coastal zone, producing ductile deformation zones. However, the inland of the eastern part of SCB was under a NW-SE extensional tectonic regime; (3) during 105-90 Ma period, a new subduction zone was developed in the SE flank of the West Philippines micro-continent, the subducting slab reached the Changle-Nan’ao tectonic belt, with the possible break-off of slab, the asthenospheric ascent was responsible for the important emplacement of plutonic massifs and dykes. The tectonics of the eastern part of SCB was characterized by a general extensional system in this period. This tectonic pattern has been significantly disturbed by the Oligocene-Eocene opening of the South China sea,and the Miocene shortening of the SCB margin in Taiwan. Of course, this model should be improved by more geological, geophysical and geochemical investigations.