Community Structurein Soil Porous System.

Soil is well recognized as a highly complex system. The interaction and coupled physical, chemical, and biological processes and phenomena occurring in the soil environment at different spatial and temporal scales are the main reasons for such complexity. There is a need for appropriate methodologies to characterize soil porous systems with an interdisciplinary character. Four different real soil samples, presenting different textures, have been modeled as heterogeneous complex networks, applying a model known as the heterogeneous preferential attachment. An analytical study of the degree distributions in the soil model shows a multiscaling behavior in the connectivity degrees, leaving an empirically testable signature of heterogeneity in the topology of soil pore networks. We also show that the power-law scaling in the degree distribution is a robust trait of the soil model. Last, the detection of spatial pore communities, as densely connected groups with only sparser connections between them, has been studied for the first time in these soil networks. Our results show that the presence of these communities depends on the parameter values used to construct the network. These findings could contribute to understanding the mechanisms of the diffusion phenomena in soils, such as gas and water diffusion, development and dynamics of microorganisms, among others.

Dimensional synthesis of a spherical parallel manipulator based on the evaluation of global performance indexes

In this work, the dimensional synthesis of a spherical Parallel Manipulator (PM) with a -1S kinematic chain is presented. The goal of the synthesis is to find a set of parameters that defines the PM with the best performance in terms of workspace capabilities, dexterity and isotropy. The PM is parametrized in terms of a reference element, and a non-directed search of these parameters is carried out. First, the inverse kinematics and instantaneous kinematics of the mechanism are presented. The latter is found using the screw theory formulation. An algorithm that explores a bounded set of parameters and determines the corresponding value of global indexes is presented. The concepts of a novel global performance index and a compound index are introduced. Simulation results are shown and discussed. The best PMs found in terms of each performance index evaluated are locally analyzed in terms of its workspace and local dexterity. The relationship between the performance of the PM and its parameters is discussed, and a prototype with the best performance in terms of the compound index is presented and analyzed.

Modeling the evolution of item rating networks using time-domain preferential attachment

The understanding of the structure and dynamics of the intricate network of connections among people that consumes products through Internet appears as an extremely useful asset in order to study emergent properties related to social behavior. This knowledge could be useful, for example, to improve the performance of personal recommendation algorithms. In this contribution, we analyzed five-year records of movie-rating transactions provided by Netflix, a movie rental platform where users rate movies from an online catalog. This dataset can be studied as a bipartite user-item network whose structure evolves in time. Even though several topological properties from subsets of this bipartite network have been reported with a model that combines random and preferential attachment mechanisms [Beguerisse Díaz et al., 2010], there are still many aspects worth to be explored, as they are connected to relevant phenomena underlying the evolution of the network. In this work, we test the hypothesis that bursty human behavior is essential in order to describe how a bipartite user-item network evolves in time. To that end, we propose a novel model that combines, for user nodes, a network growth prescription based on a preferential attachment mechanism acting not only in the topological domain (i.e. based on node degrees) but also in time domain. In the case of items, the model mixes degree preferential attachment and random selection. With these ingredients, the model is not only able to reproduce the asymptotic degree distribution, but also shows an excellent agreement with the Netflix data in several time-dependent topological properties.

Application of laser-induced plasma spectroscopy to the measurement of transition probabilities of Ca I

We present improved experimental transition probabilities for the optical Ca I 4s4p-4s4d and 4s4p-4p2multiplets. The values were determined with an absolute uncertainty of 10%. Transition probabilities have been determined by the branching ratios from the measurement of relative line intensities emitted by laser-induced plasma (LIP). The line intensities were obtained with the target (leadcalcium) placed in argon atmosphere at 6 Torr, recorded at a 2.5 µs delay from the laser pulse, which provides appropriate measurement conditions, and analysed between 350.0 and 550.0 nm. They are measured when the plasma reaches local thermodynamic equilibrium (LTE). The plasma is characterized by electron temperature (T) of 11400 K and an electron number density (Ne) of 1.1 x 1016 cm-3. The influence self-absorption has been estimated for every line, and plasma homogeneity has been checked. The values obtained were compared with previous experimental values in the literature. The method for measurement of transition probabilities using laser-induced plasma as spectroscopic source has been checked.

Optimisation of algorithms to compute information theoretic indexes

Analysis of big amount of data is a field with many years of research. It is centred in getting significant values, to make it easier to understand and interpret data. Being the analysis of interdependence between time series an important field of research, mainly as a result of advances in the characterization of dynamical systems from the signals they produce. In the medicine sphere, it is easy to find many researches that try to understand the brain behaviour, its operation mode and its internal connections. The human brain comprises approximately 1011 neurons, each of which makes about 103 synaptic connections. This huge number of connections between individual processing elements provides the fundamental substrate for neuronal ensembles to become transiently synchronized or functionally connected. A similar complex network configuration and dynamics can also be found at the macroscopic scales of systems neuroscience and brain imaging. The emergence of dynamically coupled cell assemblies represents the neurophysiological substrate for cognitive function such as perception, learning, thinking. Understanding the complex network organization of the brain on the basis of neuroimaging data represents one of the most impervious challenges for systems neuroscience. Brain connectivity is an elusive concept that refers to diferent interrelated aspects of brain organization: structural, functional connectivity (FC) and efective connectivity (EC). Structural connectivity refers to a network of physical connections linking sets of neurons, it is the anatomical structur of brain networks. However, FC refers to the statistical dependence between the signals stemming from two distinct units within a nervous system, while EC refers to the causal interactions between them. This research opens the door to try to resolve diseases related with the brain, like Parkinson’s disease, senile dementia, mild cognitive impairment, etc. One of the most important project associated with Alzheimer’s research and other diseases are enclosed in the European project called Blue Brain. The center for Biomedical Technology (CTB) of Universidad Politecnica de Madrid (UPM) forms part of the project. The CTB researches have developed a magnetoencephalography (MEG) data processing tool that allow to visualise and analyse data in an intuitive way. This tool receives the name of HERMES, and it is presented in this document. Analysis of big amount of data is a field with many years of research. It is centred in getting significant values, to make it easier to understand and interpret data. Being the analysis of interdependence between time series an important field of research, mainly as a result of advances in the characterization of dynamical systems from the signals they produce. In the medicine sphere, it is easy to find many researches that try to understand the brain behaviour, its operation mode and its internal connections. The human brain comprises approximately 1011 neurons, each of which makes about 103 synaptic connections. This huge number of connections between individual processing elements provides the fundamental substrate for neuronal ensembles to become transiently synchronized or functionally connected. A similar complex network configuration and dynamics can also be found at the macroscopic scales of systems neuroscience and brain imaging. The emergence of dynamically coupled cell assemblies represents the neurophysiological substrate for cognitive function such as perception, learning, thinking. Understanding the complex network organization of the brain on the basis of neuroimaging data represents one of the most impervious challenges for systems neuroscience. Brain connectivity is an elusive concept that refers to diferent interrelated aspects of brain organization: structural, functional connectivity (FC) and efective connectivity (EC). Structural connectivity refers to a network of physical connections linking sets of neurons, it is the anatomical structur of brain networks. However, FC refers to the statistical dependence between the signals stemming from two distinct units within a nervous system, while EC refers to the causal interactions between them. This research opens the door to try to resolve diseases related with the brain, like Parkinson’s disease, senile dementia, mild cognitive impairment, etc. One of the most important project associated with Alzheimer’s research and other diseases are enclosed in the European project called Blue Brain. The center for Biomedical Technology (CTB) of Universidad Politecnica de Madrid (UPM) forms part of the project. The CTB researches have developed a magnetoencephalography (MEG) data processing tool that allow to visualise and analyse data in an intuitive way. This tool receives the name of HERMES, and it is presented in this document.

Mixed Elements in the Boundary Theory

The development of (static and dynamics)programs with constant and linear elements has shown good behaviour. It seems so natural to combine both advantages so that the results will not be affected by local distortions. This paper will be dedicated to presenting the reserch of mixed elements and the way to solve the over-determination that appears in some cases. Although all the study has been done with the potential theory, its application to elastic problems is straightforward.

Carbon allocation in north-western Amazon forests (Colombia)

Los estudios sobre la asignación del carbono en los ecosistemas forestales proporcionan información esencial para la comprensión de las diferencias espaciales y temporales en el ciclo del carbono de tal forma que pueden aportar información a los modelos y, así predecir las posibles respuestas de los bosques a los cambios en el clima. Dentro de este contexto, los bosques Amazónicos desempeñan un papel particularmente importante en el balance global del carbono; no obstante, existen grandes incertidumbres en cuanto a los controles abióticos en las tasas de la producción primaria neta (PPN), la asignación de los productos de la fotosíntesis a los diferentes componentes o compartimentos del ecosistema (aéreo y subterráneo) y, cómo estos componentes de la asignación del carbono responden a eventos climáticos extremos. El objetivo general de esta tesis es analizar los componentes de la asignación del carbono en bosques tropicales maduros sobre suelos contrastantes, que crecen bajo condiciones climáticas similares en dos sitios ubicados en la Amazonia noroccidental (Colombia): el Parque Natural Nacional Amacayacu y la Estación Biológica Zafire. Con este objetivo, realicé mediciones de los componentes de la asignación del carbono (biomasa, productividad primaria neta, y su fraccionamiento) a nivel ecosistémico y de la dinámica forestal (tasas anuales de mortalidad y reclutamiento), a lo largo de ocho años (20042012) en seis parcelas permanentes de 1 hectárea establecidas en cinco tipos de bosques sobre suelos diferentes (arcilloso, franco-arcilloso, franco-arcilloso-arenoso, franco-arenoso y arena-francosa). Toda esta información me permitió abordar preguntas específicas que detallo a continuación. En el Capítulo 2 evalúe la hipótesis de que a medida que aumenta la fertilidad del suelo disminuye la cantidad del carbono asignado a la producción subterránea (raíces finas con diámetro <2 mm). Y para esto, realicé mediciones de la masa y la producción de raíces finas usando dos métodos: (1) el de los cilindros de crecimiento y, (2) el de los cilindros de extracción secuencial. El monitoreo se realizó durante 2.2 años en los bosques con suelos más contrastantes: arcilla y arena-francosa. Encontré diferencias significativas en la masa de raíces finas y su producción entre los bosques y, también con respecto a la profundidad del suelo (010 y 1020 cm). El bosque sobre arena-francosa asignó más carbono a las raíces finas que el bosque sobre arcillas. La producción de raíces finas en el bosque sobre arena-francosa fue dos veces más alta (media ± error estándar = 2.98 ± 0.36 y 3.33 ± 0.69 Mg C ha1 año1, con el método 1 y 2, respectivamente), que para el bosque sobre arcillas, el suelo más fértil (1.51 ± 0.14, método 1, y desde 1.03 ± 0.31 a 1.36 ± 0.23 Mg C ha1 año1, método 2). Del mismo modo, el promedio de la masa de raíces finas fue tres veces mayor en el bosque sobre arena-francosa (5.47 ± 0.17 Mg C ha1) que en el suelo más fértil (de 1.52 ± 0.08 a 1.82 ± 0.09 Mg C ha1). La masa de las raíces finas también mostró un patrón temporal relacionado con la lluvia, mostrando que la producción de raíces finas disminuyó sustancialmente en el período seco del año 2005. Estos resultados sugieren que los recursos del suelo pueden desempeñar un papel importante en los patrones de la asignación del carbono entre los componentes aéreo y subterráneo de los bosques tropicales; y que el suelo no sólo influye en las diferencias en la masa de raíces finas y su producción, sino que también, en conjunto con la lluvia, sobre la estacionalidad de la producción. En el Capítulo 3 estimé y analicé los tres componentes de la asignación del carbono a nivel del ecosistema: la biomasa, la productividad primaria neta PPN, y su fraccionamiento, en los mismos bosques del Capítulo 2 (el bosque sobre arcillas y el bosque sobre arena-francosa). Encontré diferencias significativas en los patrones de la asignación del carbono entre los bosques; el bosque sobre arcillas presentó una mayor biomasa total y aérea, así como una PPN, que el bosque sobre arena-francosa. Sin embargo, la diferencia entre los dos bosques en términos de la productividad primaria neta total fue menor en comparación con las diferencias entre la biomasa total de los bosques, como consecuencia de las diferentes estrategias en la asignación del carbono a los componentes aéreo y subterráneo del bosque. La proporción o fracción de la PPN asignada a la nueva producción de follaje fue relativamente similar entre los dos bosques. Nuestros resultados de los incrementos de la biomasa aérea sugieren una posible compensación entre la asignación del carbono al crecimiento de las raíces finas versus el de la madera, a diferencia de la compensación comúnmente asumida entre la parte aérea y la subterránea en general. A pesar de estas diferencias entre los bosques en términos de los componentes de la asignación del carbono, el índice de área foliar fue relativamente similar entre ellos, lo que sugiere que el índice de área foliar es más un indicador de la PPN total que de la asignación de carbono entre componentes. En el Capítulo 4 evalué la variación espacial y temporal de los componentes de la asignación del carbono y la dinámica forestal de cinco tipos e bosques amazónicos y sus respuestas a fluctuaciones en la precipitación, lo cual es completamente relevante en el ciclo global del carbono y los procesos biogeoquímicos en general. Estas variaciones son así mismo importantes para evaluar los efectos de la sequía o eventos extremos sobre la dinámica natural de los bosques amazónicos. Evalué la variación interanual y la estacionalidad de los componentes de la asignación del carbono y la dinámica forestal durante el periodo 2004−2012, en cinco bosques maduros sobre diferentes suelos (arcilloso, franco-arcilloso, franco-arcilloso-arenoso, franco-arenoso y arena-francosa), todos bajo el mismo régimen local de precipitación en la Amazonia noroccidental (Colombia). Quería examinar sí estos bosques responden de forma similar a las fluctuaciones en la precipitación, tal y como pronostican muchos modelos. Consideré las siguientes preguntas: (i) ¿Existe una correlación entre los componentes de la asignación del carbono y la dinámica forestal con la precipitación? (ii) ¿Existe correlación entre los bosques? (iii) ¿Es el índice de área foliar (LAI) un indicador de las variaciones en la producción aérea o es un reflejo de los cambios en los patrones de la asignación del carbono entre bosques?. En general, la correlación entre los componentes aéreo y subterráneo de la asignación del carbono con la precipitación sugiere que los suelos juegan un papel importante en las diferencias espaciales y temporales de las respuestas de estos bosques a las variaciones en la precipitación. Por un lado, la mayoría de los bosques mostraron que los componentes aéreos de la asignación del carbono son susceptibles a las fluctuaciones en la precipitación; sin embargo, el bosque sobre arena-francosa solamente presentó correlación con la lluvia con el componente subterráneo (raíces finas). Por otra parte, a pesar de que el noroeste Amazónico es considerado sin una estación seca propiamente (definida como <100 mm meses −1), la hojarasca y la masa de raíces finas mostraron una alta variabilidad y estacionalidad, especialmente marcada durante la sequía del 2005. Además, los bosques del grupo de suelos francos mostraron que la hojarasca responde a retrasos en la precipitación, al igual que la masa de raíces finas del bosque sobre arena-francosa. En cuanto a la dinámica forestal, sólo la tasa de mortalidad del bosque sobre arena-francosa estuvo correlacionada con la precipitación (ρ = 0.77, P <0.1). La variabilidad interanual en los incrementos en el tallo y la biomasa de los individuos resalta la importancia de la mortalidad en la variación de los incrementos en la biomasa aérea. Sin embargo, las tasas de mortalidad y las proporciones de individuos muertos por categoría de muerte (en pie, caído de raíz, partido y desaparecido), no mostraron tendencias claras relacionadas con la sequía. Curiosamente, la hojarasca, el incremento en la biomasa aérea y las tasas de reclutamiento mostraron una alta correlación entre los bosques, en particular dentro del grupo de los bosques con suelos francos. Sin embargo, el índice de área foliar estimado para los bosques con suelos más contrastantes (arcilla y arena-francosa), no presentó correlación significativa con la lluvia; no obstante, estuvo muy correlacionado entre bosques; índice de área foliar no reflejó las diferencias en la asignación de los componentes del carbono, y su respuesta a la precipitación en estos bosques. Por último, los bosques estudiados muestran que el noroeste amazónico es susceptible a fenómenos climáticos, contrario a lo propuesto anteriormente debido a la ausencia de una estación seca propiamente dicha. ABSTRACT Studies of carbon allocation in forests provide essential information for understanding spatial and temporal differences in carbon cycling that can inform models and predict possible responses to changes in climate. Amazon forests play a particularly significant role in the global carbon balance, but there are still large uncertainties regarding abiotic controls on the rates of net primary production (NPP) and the allocation of photosynthetic products to different ecosystem components; and how the carbon allocation components of Amazon forests respond to extreme climate events. The overall objective of this thesis is to examine the carbon allocation components in old-growth tropical forests on contrasting soils, and under similar climatic conditions in two sites at the Amacayacu National Natural Park and the Zafire Biological Station, located in the north-western Amazon (Colombia). Measurements of above- and below-ground carbon allocation components (biomass, net primary production, and its partitioning) at the ecosystem level, and dynamics of tree mortality and recruitment were done along eight years (20042012) in six 1-ha plots established in five Amazon forest types on different soils (clay, clay-loam, sandy-clay-loam, sandy-loam and loamy-sand) to address specific questions detailed in the next paragraphs. In Chapter 2, I evaluated the hypothesis that as soil fertility increases the amount of carbon allocated to below-ground production (fine-roots) should decrease. To address this hypothesis the standing crop mass and production of fine-roots (<2 mm) were estimated by two methods: (1) ingrowth cores and, (2) sequential soil coring, during 2.2 years in the most contrasting forests: the clay-soil forest and the loamy-sand forest. We found that the standing crop fine-root mass and its production were significantly different between forests and also between soil depths (0–10 and 10–20 cm). The loamysand forest allocated more carbon to fine-roots than the clay-soil forest, with fine-root production in the loamy-sand forest twice (mean ± standard error = 2.98 ± 0.36 and 3.33 ± 0.69 Mg C ha −1 yr −1, method 1 and 2, respectively) as much as for the more fertile claysoil forest (1.51 ± 0.14, method 1, and from 1.03 ± 0.31 to 1.36 ± 0.23 Mg C ha −1 yr −1, method 2). Similarly, the average of standing crop fine-root mass was three times higher in the loamy-sand forest (5.47 ± 0.17 Mg C ha1) than in the more fertile soil (from 1.52 ± 0.08 a 1.82 ± 0.09 Mg C ha1). The standing crop fine-root mass also showed a temporal pattern related to rainfall, with the production of fine-roots decreasing substantially in the dry period of the year 2005. These results suggest that soil resources may play an important role in patterns of carbon allocation of below-ground components, not only driven the differences in the biomass and its production, but also in the time when it is produced. In Chapter 3, I assessed the three components of stand-level carbon allocation (biomass, NPP, and its partitioning) for the same forests evaluated in Chapter 2 (clay-soil forest and loamy-sand forest). We found differences in carbon allocation patterns between these two forests, showing that the forest on clay-soil had a higher aboveground and total biomass as well as a higher above-ground NPP than the loamy-sand forest. However, differences between the two types of forests in terms of stand-level NPP were smaller, as a consequence of different strategies in the carbon allocation of above- and below-ground components. The proportional allocation of NPP to new foliage production was relatively similar between the two forests. Our results of aboveground biomass increments and fine-root production suggest a possible trade-off between carbon allocation to fine-roots versus wood growth (as it has been reported by other authors), as opposed to the most commonly assumed trade-off between total above- and below-ground production. Despite these differences among forests in terms of carbon allocation components, the leaf area index showed differences between forests like total NPP, suggesting that the leaf area index is more indicative of total NPP than carbon allocation. In Chapter 4, I evaluated the spatial and temporal variation of carbon allocation components and forest dynamics of Amazon forests as well as their responses to climatic fluctuations. I evaluated the intra- and inter-annual variation of carbon allocation components and forest dynamics during the period 2004−2012 in five forests on different soils (clay, clay-loam, sandy-clay-loam, sandy-loam and loamy-sand), but growing under the same local precipitation regime in north-western Amazonia (Colombia). We were interested in examining if these forests respond similarly to rainfall fluctuations as many models predict, considering the following questions: (i) Is there a correlation in carbon allocation components and forest dynamics with precipitation? (ii) Is there a correlation among forests? (iii) Are temporal responses in leaf area index (LAI) indicative of variations of above-ground production or a reflection of changes in carbon allocation patterns among forests?. Overall, the correlation of above- and below-ground carbon allocation components with rainfall suggests that soils play an important role in the spatial and temporal differences of responses of these forests to rainfall fluctuations. On the one hand, most forests showed that the above-ground components are susceptible to rainfall fluctuations; however, there was a forest on loamy-sand that only showed a correlation with the below-ground component (fine-roots). On the other hand, despite the fact that north-western Amazonia is considered without a conspicuous dry season (defined as <100 mm month−1), litterfall and fine-root mass showed high seasonality and variability, particularly marked during the drought of 2005. Additionally, forests of the loam-soil group showed that litterfall respond to time-lags in rainfall as well as and the fine-root mass of the loamy-sand forest. With regard to forest dynamics, only the mortality rate of the loamy-sand forest was significantly correlated with rainfall (77%). The observed inter-annual variability of stem and biomass increments of individuals highlighted the importance of the mortality in the above-ground biomass increment. However, mortality rates and death type proportion did not show clear trends related to droughts. Interestingly, litterfall, above-ground biomass increment and recruitment rates of forests showed high correlation among forests, particularly within the loam-soil forests group. Nonetheless, LAI measured in the most contrasting forests (clay-soil and loamysand) was poorly correlated with rainfall but highly correlated between forests; LAI did not reflect the differences in the carbon allocation components, and their response to rainfall on these forests. Finally, the forests studied highlight that north-western Amazon forests are also susceptible to climate fluctuations, contrary to what has been proposed previously due to their lack of a pronounced dry season.