Relevance of sampling schemes in light of Ruelle's linear response theory

We reconsider the theory of the linear response of non-equilibrium steady states to perturbations. We �rst show that by using a general functional decomposition for space-time dependent forcings, we can de�ne elementary susceptibilities that allow to construct the response of the system to general perturbations. Starting from the de�nition of SRB measure, we then study the consequence of taking di�erent sampling schemes for analysing the response of the system. We show that only a speci�c choice of the time horizon for evaluating the response of the system to a general time-dependent perturbation allows to obtain the formula �rst presented by Ruelle. We also discuss the special case of periodic perturbations, showing that when they are taken into consideration the sampling can be �ne-tuned to make the de�nition of the correct time horizon immaterial. Finally, we discuss the implications of our results in terms of strategies for analyzing the outputs of numerical experiments by providing a critical review of a formula proposed by Reick.

Analysis and design of multirate synchronous sampling schemes for sparse multiband signals

We consider the problem of developing efficient sampling schemes for multiband sparse signals. Previous results on multicoset sampling implementations that lead to universal sampling patterns (which guarantee perfect reconstruction), are based on a set of appropriate interleaved analog to digital converters, all of them operating at the same sampling frequency. In this paper we propose an alternative multirate synchronous implementation of multicoset codes, that is, all the analog to digital converters in the sampling scheme operate at different sampling frequencies, without need of introducing any delay. The interleaving is achieved through the usage of different rates, whose sum is significantly lower than the Nyquist rate of the multiband signal. To obtain universal patterns the sampling matrix is formulated and analyzed. Appropriate choices of the parameters, that is the block length and the sampling rates, are also proposed.

Optimization of the sampling scheme for maps of physical and chemical properties estimated by kriging

The sampling scheme is essential in the investigation of the spatial variability of soil properties in Soil Science studies. The high costs of sampling schemes optimized with additional sampling points for each physical and chemical soil property, prevent their use in precision agriculture. The purpose of this study was to obtain an optimal sampling scheme for physical and chemical property sets and investigate its effect on the quality of soil sampling. Soil was sampled on a 42-ha area, with 206 geo-referenced points arranged in a regular grid spaced 50 m from each other, in a depth range of 0.00-0.20 m. In order to obtain an optimal sampling scheme for every physical and chemical property, a sample grid, a medium-scale variogram and the extended Spatial Simulated Annealing (SSA) method were used to minimize kriging variance. The optimization procedure was validated by constructing maps of relative improvement comparing the sample configuration before and after the process. A greater concentration of recommended points in specific areas (NW-SE direction) was observed, which also reflects a greater estimate variance at these locations. The addition of optimal samples, for specific regions, increased the accuracy up to 2 % for chemical and 1 % for physical properties. The use of a sample grid and medium-scale variogram, as previous information for the conception of additional sampling schemes, was very promising to determine the locations of these additional points for all physical and chemical soil properties, enhancing the accuracy of kriging estimates of the physical-chemical properties.

Towards a universal sampling protocol for soil biotas in the humid tropics

This paper reviews the methods for the inventory of below-ground biotas in the humid tropics, to document the (hypothesized) loss of soil biodiversity associated with deforestation and agricultural intensification at forest margins. The biotas were grouped into eight categories, each of which corresponded to a major functional group considered important or essential to soil function. An accurate inventory of soil organisms can assist in ecosystem management and help sustain agricultural production. The advantages and disadvantages of transect-based and grid-based sampling methods are discussed, illustrated by published protocols ranging from the original "TSBF transect", through versions developed for the alternatives to Slash-and-Burn Project (ASB) to the final schemes (with variants) adopted by the Conservation and Sustainable Management of Below-ground Biodiversity Project (CSM-BGBD). Consideration is given to the place and importance of replication in below-ground biological sampling and it is argued that the new sampling protocols are inclusive, i.e. designed to sample all eight biotic groups in the same field exercise; spatially scaled, i.e. provide biodiversity data at site, locality, landscape and regional levels, and link the data to land use and land cover; and statistically robust, as shown by a partial randomization of plot locations for sampling.

Sparse image reconstruction on the sphere: implications of a new sampling theorem.

We study the impact of sampling theorems on the fidelity of sparse image reconstruction on the sphere. We discuss how a reduction in the number of samples required to represent all information content of a band-limited signal acts to improve the fidelity of sparse image reconstruction, through both the dimensionality and sparsity of signals. To demonstrate this result, we consider a simple inpainting problem on the sphere and consider images sparse in the magnitude of their gradient. We develop a framework for total variation inpainting on the sphere, including fast methods to render the inpainting problem computationally feasible at high resolution. Recently a new sampling theorem on the sphere was developed, reducing the required number of samples by a factor of two for equiangular sampling schemes. Through numerical simulations, we verify the enhanced fidelity of sparse image reconstruction due to the more efficient sampling of the sphere provided by the new sampling theorem.

Optimization of the sampling scheme for maps of physical and chemical properties estimated by kriging

The sampling scheme is essential in the investigation of the spatial variability of soil properties in Soil Science studies. The high costs of sampling schemes optimized with additional sampling points for each physical and chemical soil property, prevent their use in precision agriculture. The purpose of this study was to obtain an optimal sampling scheme for physical and chemical property sets and investigate its effect on the quality of soil sampling. Soil was sampled on a 42-ha area, with 206 geo-referenced points arranged in a regular grid spaced 50 m from each other, in a depth range of 0.00-0.20 m. In order to obtain an optimal sampling scheme for every physical and chemical property, a sample grid, a medium-scale variogram and the extended Spatial Simulated Annealing (SSA) method were used to minimize kriging variance. The optimization procedure was validated by constructing maps of relative improvement comparing the sample configuration before and after the process. A greater concentration of recommended points in specific areas (NW-SE direction) was observed, which also reflects a greater estimate variance at these locations. The addition of optimal samples, for specific regions, increased the accuracy up to 2 % for chemical and 1 % for physical properties. The use of a sample grid and medium-scale variogram, as previous information for the conception of additional sampling schemes, was very promising to determine the locations of these additional points for all physical and chemical soil properties, enhancing the accuracy of kriging estimates of the physical-chemical properties.

Design of universal multicoset sampling patterns for compressed sensing of multiband sparse signals

Many problems in digital communications involve wideband radio signals. As the most recent example, the impressive advances in Cognitive Radio systems make even more necessary the development of sampling schemes for wideband radio signals with spectral holes. This is equivalent to considering a sparse multiband signal in the framework of Compressive Sampling theory. Starting from previous results on multicoset sampling and recent advances in compressive sampling, we analyze the matrix involved in the corresponding reconstruction equation and define a new method for the design of universal multicoset codes, that is, codes guaranteeing perfect reconstruction of the sparse multiband signal.

Performance and Robustness Analysis of Co-Prime and Nested Sampling

Coprime and nested sampling are well known deterministic sampling techniques that operate at rates significantly lower than the Nyquist rate, and yet allow perfect reconstruction of the spectra of wide sense stationary signals. However, theoretical guarantees for these samplers assume ideal conditions such as synchronous sampling, and ability to perfectly compute statistical expectations. This thesis studies the performance of coprime and nested samplers in spatial and temporal domains, when these assumptions are violated. In spatial domain, the robustness of these samplers is studied by considering arrays with perturbed sensor locations (with unknown perturbations). Simplified expressions for the Fisher Information matrix for perturbed coprime and nested arrays are derived, which explicitly highlight the role of co-array. It is shown that even in presence of perturbations, it is possible to resolve $O(M^2)$ under appropriate conditions on the size of the grid. The assumption of small perturbations leads to a novel ``bi-affine" model in terms of source powers and perturbations. The redundancies in the co-array are then exploited to eliminate the nuisance perturbation variable, and reduce the bi-affine problem to a linear underdetermined (sparse) problem in source powers. This thesis also studies the robustness of coprime sampling to finite number of samples and sampling jitter, by analyzing their effects on the quality of the estimated autocorrelation sequence. A variety of bounds on the error introduced by such non ideal sampling schemes are computed by considering a statistical model for the perturbation. They indicate that coprime sampling leads to stable estimation of the autocorrelation sequence, in presence of small perturbations. Under appropriate assumptions on the distribution of WSS signals, sharp bounds on the estimation error are established which indicate that the error decays exponentially with the number of samples. The theoretical claims are supported by extensive numerical experiments.

Spatial scale effects of sampling on the interpolation of species distribution models in the southwestern Amazon.

Knowledge of the geographical distribution of timber tree species in the Amazon is still scarce. This is especially true at the local level, thereby limiting natural resource management actions. Forest inventories are key sources of information on the occurrence of such species. However, areas with approved forest management plans are mostly located near access roads and the main industrial centers. The present study aimed to assess the spatial scale effects of forest inventories used as sources of occurrence data in the interpolation of potential species distribution models. The occurrence data of a group of six forest tree species were divided into four geographical areas during the modeling process. Several sampling schemes were then tested applying the maximum entropy algorithm, using the following predictor variables: elevation, slope, exposure, normalized difference vegetation index (NDVI) and height above the nearest drainage (HAND). The results revealed that using occurrence data from only one geographical area with unique environmental characteristics increased both model overfitting to input data and omission error rates. The use of a diagonal systematic sampling scheme and lower threshold values led to improved model performance. Forest inventories may be used to predict areas with a high probability of species occurrence, provided they are located in forest management plan regions representative of the environmental range of the model projection area.

Intrinsic test of independence in contingency tables

A condition needed for testing nested hypotheses from a Bayesianviewpoint is that the prior for the alternative model concentratesmass around the small, or null, model. For testing independencein contingency tables, the intrinsic priors satisfy this requirement.Further, the degree of concentration of the priors is controlled bya discrete parameter m, the training sample size, which plays animportant role in the resulting answer regardless of the samplesize.In this paper we study robustness of the tests of independencein contingency tables with respect to the intrinsic priors withdifferent degree of concentration around the null, and comparewith other “robust” results by Good and Crook. Consistency ofthe intrinsic Bayesian tests is established.We also discuss conditioning issues and sampling schemes,and argue that conditioning should be on either one margin orthe table total, but not on both margins.Examples using real are simulated data are given

Parallel imaging with phase scrambling.

PURPOSE: Most existing methods for accelerated parallel imaging in MRI require additional data, which are used to derive information about the sensitivity profile of each radiofrequency (RF) channel. In this work, a method is presented to avoid the acquisition of separate coil calibration data for accelerated Cartesian trajectories. METHODS: Quadratic phase is imparted to the image to spread the signals in k-space (aka phase scrambling). By rewriting the Fourier transform as a convolution operation, a window can be introduced to the convolved chirp function, allowing a low-resolution image to be reconstructed from phase-scrambled data without prominent aliasing. This image (for each RF channel) can be used to derive coil sensitivities to drive existing parallel imaging techniques. As a proof of concept, the quadratic phase was applied by introducing an offset to the x(2) - y(2) shim and the data were reconstructed using adapted versions of the image space-based sensitivity encoding and GeneRalized Autocalibrating Partially Parallel Acquisitions algorithms. RESULTS: The method is demonstrated in a phantom (1 × 2, 1 × 3, and 2 × 2 acceleration) and in vivo (2 × 2 acceleration) using a 3D gradient echo acquisition. CONCLUSION: Phase scrambling can be used to perform parallel imaging acceleration without acquisition of separate coil calibration data, demonstrated here for a 3D-Cartesian trajectory. Further research is required to prove the applicability to other 2D and 3D sampling schemes. Magn Reson Med, 2014. © 2014 Wiley Periodicals, Inc.

Ensemble methods for environmental data modelling with support vector regression

This paper investigates the use of ensemble of predictors in order to improve the performance of spatial prediction methods. Support vector regression (SVR), a popular method from the field of statistical machine learning, is used. Several instances of SVR are combined using different data sampling schemes (bagging and boosting). Bagging shows good performance, and proves to be more computationally efficient than training a single SVR model while reducing error. Boosting, however, does not improve results on this specific problem.

Population genetics of Capercaillie (Tetrao urogallus) in the Jura and the Pyrenees: a non-invasive approach to avian conservation genetics

RÉSUMÉ Le Grand tétras est un galliforme de montagne apparenté au faisan et au tétras lyre. Il est distribué de manière continue à travers la toundra et les montagnes de moyenne altitude en Europe de l'ouest. Toutefois, les populations d'Europe de l'ouest ont subi un déclin constant au cours des derniers siècles. Les causes de ce déclin sont probablement liées à l'activité humaine, telle .que l'élevage ou le tourisme, qui ont engendré une modification et une fragmentation de l'habitat de l'espèce. Malheureusement, les populations soumises à de forts déclins démographiques peuvent subir des effets génétiques (augmentation de la consanguinité et perte de diversité génétique) pouvant diminuer leur potentiel de reproduction et conduire irrémédiablement à l'extinction. Cette thèse présente les analyses conduites dans le but d'estimer l'impact du déclin démographique des populations de Grand tétras sur l'étendue et la distribution de leur variabilité génétique dans le Jura et dans les Pyrénées. Du fait de la législation locale protégeant les tétraonidés en général, mais également en raison de la biologie très cryptique du Grand tétras, l'ensemble des analyses de cette étude a été réalisé à partir de matériel génétique extrait des fientes (ou échantillonnage génétique non invasif). Dans la première partie de l'étude, je détaille les protocoles d'extraction. d'ADN et d'amplification par PCR modifiés à partir des protocoles classiques utilisant des échantillons conventionnels, riches en ADN. L'utilisation d'ADN fécal impose des contraintes dues à la mauvaise qualité et à la faible quantité du matériel génétique à disposition dans les fientes. Ces contraintes ont pu être partiellement contournées en réalisant des répétitions multiples du génotypage afin d'obtenir un degré de fiabilité suffisante. J'ai également analysé les causes de la dégradation de l'ADN dans les excréments. Parmi les causes les plus communes, telles que l'activité bactérienne, l'hydrolyse spontanée et la dégradation enzymatique par les DNases libres, c'est ce dernier facteur qui apparaît comme étant la cause majeure et la plus rapide responsable de la dégradation de la qualité des échantillons. La rapidité de l'action enzymatique suggère que les plans d'échantillonnages de excréments sur le terrain pourraient être optimisés en les réalisant dans des conditions climatiques froides et sèches, favorisant ainsi l'inhibition des DNases. La seconde partie de la thèse est une étude par simulation visant à déterminer la capacité du logiciel Structure à identifier les structures génétiques complexes et hiérarchiques fréquemment rencontrées dans les populations naturelles, et ce en utilisant différents types de marqueurs génétiques. Les troisième et quatrième parties de cette thèse décrivent le statut génétique des populations résiduelles du Jura et des Pyrénées à partir de l'analyse de 11 loci microsatellites. Nous n'avons pas pu mettre en évidence dans les deux populations des effets liés à la consanguinité ou à la réduction de la diversité génétique. De plus, la différenciation génétique entre les patches d'habitats favorables reste modérée et corrélée à la distance géographique, ce qui suggère que la dispersion d'individus entre les patches a été importante au moins pendant ces dernières générations. La comparaison des paramètres de la diversité génétique avec ceux d'autres populations de Grand tétras, ou d'autres espèces proches, indique que la population du Jura a retenu une proportion importante de sa diversité originelle. Ces résultats suggèrent que le déclin récent des populations a jusqu'ici eu un impact modéré sur les facteurs génétiques et que ces populations semblent avoir conservé le potentiel génétique nécessaire à leur survie à long terme. Finalement, en cinquième partie, l'analyse de l'apparentement entre les mâles qui participent à la parade sur les places de chant (leks) indique que ces derniers sont distribués en agrégats de manière non aléatoire, préférentiellement entre individus apparentés. De plus, la corrélation entre les distances génétique et géographique entre les leks est en accord avec les motifs d'isolement par la distance mis en évidence à d'autres niveaux hiérarchiques (entre patches d'habitat et populations), ainsi qu'avec les études menées sur d'autres espèces ayant choisi ce même système de reproduction. En conclusion, cette première étude basée uniquement sur de l'ADN nucléaire aviaire extrait à partir de fèces a fourni des informations nouvelles qui n'auraient pas pu être obtenues par une méthode d'observation sur le terrain ou d'échantillonnage génétique classique. Aucun oiseau n'a été dérangé ou capturé, et les résultats sont comparables à d'autres études concernant des espèces proches. Néanmoins, la taille de ces populations approche des niveaux au-dessous desquels la survie à long terme est fortement incertaine. La persistance de la diversité génétique pour les prochaines générations reste en conséquence liée à la survie des adultes et à une reprise du succès de la reproduction. ABSTRACT Capercaillie (Tetrao urogallus) is a large grouse that is continuously distributed across the tundra and the mid-high mountains of Western Europe. However, the populations in Western Europe have been showing a constant decline during the last decades. The causes for this decline are possibly related to human activities, such as cattle breeding and tourism that have both led to habitat modification and fragmentation. Unfortunately, populations that have undergone drastic demographic bottlenecks often go through genetic processes of inbreeding and loss of diversity that decrease their fitness and eventually lead to extinction. This thesis presents the investigations conducted to estimate the impact of the demographic decline of capercaillie populations on the extent and distribution of their genetic variability in the Jura and in the Pyrenees mountains. Because grouse are protected by wildlife legislation, and also because of the cryptic behaviour of capercaillie, all DNA material used in this study was extracted from faeces (non-invasive genetic sampling). In the first part of my thesis, I detail the protocols of DNA extraction and PCR amplification adapted from classical methods using conventional DNA-rich samples. The use of faecal DNA imposes specific constraints due to the low quantity and the highly degraded genetic material available. These constraints are partially overcome by performing multiple genotyping repetitions to obtain sufficient reliability. I also investigate the causes of DNA degradation in faeces. Among the main degraders, namely bacterial activity, spontaneous hydrolysis, and free-¬DNase activities, the latter was pointed out as the most important according to our experiments. These enzymes degrade DNA very rapidly, and, as a consequence, faeces sampling schemes must be planned preferably in cold and dry weather conditions, allowing for enzyme activity inhibition. The second part of the thesis is a simulation study aiming to assess the capacity of the software Structure to detect population structure in hierarchical models relevant to situations encountered in wild populations, using several genetic markers. The methods implemented in Structure appear efficient in detecting the highest hierarchical structure. The third and fourth parts of the thesis describe the population genetics status of the remaining Jura and Pyrenees populations using 11 microsatellite loci. In either of these populations, no inbreeding nor reduced genetic diversity was detected. Furthermore, the genetic differentiation between patches defined by habitat suitability remains moderate and correlated with geographical distance, suggesting that significant dispersion between patches was at work at least until the last generations. The comparison of diversity indicators with other species or other populations of capercaillie indicate that population in the Jura has retained a large part of its original genetic diversity. These results suggest that the recent decline has had so forth a moderate impact on• genetic factors and that these populations might have retained the potential for long term survival, if the decline is stopped. Finally, in the fifth part, the analysis of relatedness between males participating in the reproduction parade, or lek, indicate that capercaillie males, like has been shown for some other grouse species, gather on leks• among individuals that are more related than the average of the population. This pattern appears to be due to both population structure and kin-association. As a conclusion, this first study relying exclusively on nuclear DNA extracted from faeces has provided novel information that was not available through field observation or classical genetic sampling. No bird has been captured or disturbed, and the results are consistent with other studies of closely related species. However, the size of these populations is approaching thresholds below which long-term survival is unlikely. The persistence of genetic diversity for the forthcoming generations remains therefore bond to adult survival and to the increase of reproduction success.

Soybean yield maps using regular and optimized sample with different configurations by simulated annealing

ABSTRACT This study aimed to compare thematic maps of soybean yield for different sampling grids, using geostatistical methods (semivariance function and kriging). The analysis was performed with soybean yield data in t ha-1 in a commercial area with regular grids with distances between points of 25x25 m, 50x50 m, 75x75 m, 100x100 m, with 549, 188, 66 and 44 sampling points respectively; and data obtained by yield monitors. Optimized sampling schemes were also generated with the algorithm called Simulated Annealing, using maximization of the overall accuracy measure as a criterion for optimization. The results showed that sample size and sample density influenced the description of the spatial distribution of soybean yield. When the sample size was increased, there was an increased efficiency of thematic maps used to describe the spatial variability of soybean yield (higher values of accuracy indices and lower values for the sum of squared estimation error). In addition, more accurate maps were obtained, especially considering the optimized sample configurations with 188 and 549 sample points.

Effets des nanoparticules manufacturées sur les cellules pulmonaires humaines

La détection et la caractérisation des nanoparticules manufacturées (NPM) est l’une des premières étapes pour contrôler et diminuer leurs risques potentiels sur la santé humaine et l’environnement. Différents systèmes d’échantillonnage dans l’air existent pour l’évaluation d’une exposition aux NPM. Cependant, ils ne mesurent pas le risque potentiel de cette exposition à la santé humaine ni les mécanismes cellulaires qui en seraient responsables. Nos objectifs de recherche sont 1) Évaluer les effets de différents types de nanoparticules sur des cellules pulmonaires humaines et 2) Identifier de nouveaux mécanismes intracellulaires activés lors de l’exposition à divers types de NPM. Méthodologie: La lignée de cellules A549 a été utilisée. Trois types de NPM ont été étudiés (différentes concentrations et temps d’exposition): les nanoparticules de dioxyde de titane de type anatase (TiO2), les nanotubes de carbone simple paroi (NTCSP) et les nanoparticules de noir de carbone (NC). La viabilité cellulaire a été mesurée par le test MTS, le test PrestoBlue et le test d’exclusion du bleu de Trypan (uniquement pour les NTCSP). La mesure du stress oxydatif a été déterminée par la mesure des dérivés réactifs de l’oxygène (ROS) en utilisant l’essai DCFH-DA. L’activation d’une réponse anti-oxydative a été déterminée par la mesure de la forme réduite (GSH) et oxydée (GSSG) du glutathion, ainsi que du ratio GSH/GSSG (seulement avec NTCSP et TiO2). Résultats: Les trois nanoparticules ne semblent pas être toxiques pour les cellules A549 car il y a une diminution significative mais minime de la viabilité cellulaire. Cependant, elles induisent une augmentation du contenu intracellulaire en ROS qui est à la fois dépendante du temps et de la concentration. Aucun changement dans les concentrations de GSH et GSSG n’a été observé. En conclusion, nos données indiquent que la mesure de la viabilité n’est pas un critère suffisant pour conclure à la toxicité des NPM. La production de ROS est un critère intéressant, cependant il faudra démontrer l’activation de systèmes anti-oxydatifs pour expliquer l’absence de mortalité cellulaire suite à l’exposition aux NPM.