Efficient random variable generation: ratio of uniforms and polar rejection sampling

Monte Carlo techniques, which require the generation of samples from some target density, are often the only alternative for performing Bayesian inference. Two classic sampling techniques to draw independent samples are the ratio of uniforms (RoU) and rejection sampling (RS). An efficient sampling algorithm is proposed combining the RoU and polar RS (i.e. RS inside a sector of a circle using polar coordinates). Its efficiency is shown in drawing samples from truncated Cauchy and Gaussian random variables, which have many important applications in signal processing and communications. RESUMEN. Método eficiente para generar algunas variables aleatorias de uso común en procesado de señal y comunicaciones (por ejemplo, Gaussianas o Cauchy truncadas) mediante la combinación de dos técnicas: "ratio of uniforms" y "rejection sampling".

La regeneración natural del pino silvestre (Pinus sylvestris L.) en el Valle del Lozoya (Madrid): germinación y supervivencia inicial

La fase de establecimiento del regenerado es un proceso crítico para el desarrollo posterior de la masa tanto por las elevadas tasas de mortalidad que habitualmente lleva asociadas, como por proporcionar el material de partida del que van a disponer las fases subsiguientes. Las restricciones a la germinación y establecimiento de la regeneración del pino silvestre varían enormemente entre las distintas regiones de su extensa área de distribución geográfica. La región Mediterránea constituye un hábitat marginal de la especie en el que las condiciones ecológicas son muy diferentes a las del grueso de su área de distribución. Frente a otras limitaciones (frío, luz, encharcamiento…), en el entorno mediterráneo la tasa de mortalidad parece estar asociada a las condiciones micrometeorológicas del período estival - particularmente, a la sequía -, así como a la presencia excesiva de ganado o ungulados silvestres. No obstante, la mayoría de la información disponible sobre el proceso de regeneración de la especie procede del centro y norte de Europa, por lo que no es de aplicación directa en nuestra región, en la que los estudios de este tipo son mucho más escasos. El presente trabajo pretende contribuir a paliar esta relativa escasez a través del estudio del proceso de regeneración natural en el monte “Cabeza de Hierro”, masa irregular por bosquetes de pino silvestre, paradigma de gestión sostenible y uso múltiple. En este entorno, se pretende caracterizar y cuantificar tanto el proceso de germinación y supervivencia de la especie como la influencia de la cobertura vegetal (estratos arbóreo, arbustivo y herbáceo, y capa de restos vegetales) en su desarrollo. Se persigue así mismo analizar el efecto de la compactación del suelo sobre la persistencia de la masa y contrastar y comparar la eficacia de dos tratamientos edáficos de ayuda a la regeneración: escarificado y decapado+acaballonado. Con este fin se han planteado dos diseños experimentales consistentes en sendas redes de muestreo (Red de Muestreo I o RM I y Red de Muestreo II o RM II) integradas, respectivamente, por 192 y 24 parcelas de 1,5x1,5 m ubicadas bajo distintas condiciones de cobertura vegetal. Sobre una parte de estas parcelas (1/4 en la Red de Muestreo I; 1/2 en la Red de Muestreo II) se han aplicado tratamientos de ayuda a la regeneración (RM I: escarificado; RM II: decapado+acaballonado) y, tras llevar a cabo siembras controladas al inicio del período vegetativo, se han practicado controles periódicos de germinación y supervivencia durante uno (RM II) y tres años consecutivos (RM I). Se han realizado así mismo mediciones complementarias de variables micrometeorológicas, espesura, recubrimiento superficial del suelo y compactación. Los resultados obtenidos a partir de las experiencias realizadas en el monte objeto de estudio permiten concluir que, en relación con el proceso de regeneración natural de la especie en este tipo masa y entorno: 1) la regeneración del pino silvestre durante el primer período vegetativo presenta una tasa de éxito muy baja (1,4% de los sembrados), provocada por una elevada mortalidad durante el primer período estival (>92%) subsiguiente a una germinación de en torno al 17% de las semillas viables que llegan al suelo; 2) la mortalidad sigue siendo elevada hasta el tercer período vegetativo, en que comienza a reducirse significativamente hasta alcanzar el 45%; 3) la cobertura vegetal influye significativamente tanto en el proceso de germinación como en el de supervivencia, aunque ambos procesos presentan una baja correlación linear que pone de manifiesto que los lugares idóneos para la germinación no siempre son los más adecuados para la supervivencia; 4) la escarificación del suelo mejora las tasas iniciales de germinación y supervivencia, pero empeora la tasa de supervivencia posterior (años 2 y 3), por lo que su efecto a medio plazo no resulta significativo; 5) el decapado+acaballonado presenta mejores resultados que el escarificado durante el primer verano, aunque sólo resulta efectivo en condiciones intermedias de espesura de masa; 6) la compactación edáfica no resulta limitante para la productividad ni la persistencia de la masa considerada. ABSTRACT Seedling establishment is critical for later stand progress because it involves high mortality rates and the surviving saplings constitute the starting material for all the subsequent stages. Restrictions for Scots pine germination and seedling survival may vary greatly across its geographical range, as it is widely distributed within north latitudes. Mediterranean region is a marginal sector within this species range and its ecological conditions differ greatly from those of the bulk of the area. Mortality rates in Mediterranean environments seem to be related to summer weather (mainly drought) and high livestock stocking rather than to cold, light or flooding. Most available information on scots pine regeneration process comes from north European experiences and is not transferable to Spanish forests, whereas studies on Mediterranean region are much scarcer. The present work aims at broadening Scots pine regeneration knowledge within Mediterranean region by analyzing its establishment process in the “Cabeza de Hierro” forest: a Scots pine uneven-aged forest at blocklevel scale, exemplary managed for multi-services purpose. Germination and surviving processes are to be characterized and quantified as to vegetation cover both in trees, shrubs, grass and litter strata. Soil compaction effects on forest sustainability are also assessed and the efficacy of some site preparation techniques on regeneration success is tested and compared (scarification vs. scalping+mounding). Two sampling networks comprising respectively 198 (SN I) and 24 plots (SN II) of 1.5x1.5m have been established over a wide range of vegetal cover conditions within the forest. Soil preparation techniques have been applied only to some of the sampling points; namely, 1 out of 4 plots have been scarified within Sampling Network I , while 1 out of 2 plots have been object of scalping & mounding within Sampling Network II. After localized sowing prior to growing season, germination and surviving have been periodically sampled for either one (SN II) or three years (SN I). Supplementary measures for micrometeorological variables, stand density, ground vegetal cover and compaction have also been carried out. Results obtained for the studied forest lead to the following insights regarding Scots pine natural regeneration process within this sort of forest and environment: 1) seedling establishment success rate is quite low (0,15% of sowing seeds), due to high mortality during the first summer (>92%), following a prior 17% rate of germination over viable seeds reaching the soil; 2) mortality rate remains high until the third year after emergence and then decreases to the 50% of surviving; 3) although vegetal cover significantly affects both seedling germination and survival, lineal correlation between those two processes is rather low, which may indicate that places fit for emergence are not necessarily suitable for summer surviving; 4) soil scarification improves both germination and survival during the first growing season, but it is associated to higher mortality rates during the next two years; hence it has no significant medium term effect; 5) scalping & mounding treatment is more effective than scarification concerning establishment improving during the first summer; but its effects are only significant under intermediate stand density levels; 6) soil compaction does not restrict either forest productivity or persistence, despite the area’s long history of high livestock stocking rates and mechanized logging.

Temporal variation in arthropod sampling effectiveness: the case for using the beat sheet method in cotton

Predatory insects and spiders are key elements of integrated pest management (IPM) programmes in agricultural crops such as cotton. Management decisions in IPM programmes should to be based on a reliable and efficient method for counting both predators and pests. Knowledge of the temporal constraints that influence sampling is required because arthropod abundance estimates are likely to vary over a growing season and within a day. Few studies have adequately quantified this effect using the beat sheet, a potentially important sampling method. We compared the commonly used methods of suction and visual sampling to the beat sheet, with reference to an absolute cage clamp method for determining the abundance of various arthropod taxa over 5 weeks. There were significantly more entomophagous arthropods recorded using the beat sheet and cage clamp methods than by using suction or visual sampling, and these differences were more pronounced as the plants grew. In a second trial, relative estimates of entomophagous and phytophagous arthropod abundance were made using beat sheet samples collected over a day. Beat sheet estimates of the abundance of only eight of the 43 taxa examined were found to vary significantly over a day. Beat sheet sampling is recommended in further studies of arthropod abundance in cotton, but researchers and pest management advisors should bear in mind the time of season and time of day effects.

The investigation of vegetation change using remote sensing to detect and monitor migration of landfill gas

Decomposition of domestic wastes in an anaerobic environment results in the production of landfill gas. Public concern about landfill disposal and particularly the production of landfill gas has been heightened over the past decade. This has been due in large to the increased quantities of gas being generated as a result of modern disposal techniques, and also to their increasing effect on modern urban developments. In order to avert diasters, effective means of preventing gas migration are required. This, in turn requires accurate detection and monitoring of gas in the subsurface. Point sampling techniques have many drawbacks, and accurate measurement of gas is difficult. Some of the disadvantages of these techniques could be overcome by assessing the impact of gas on biological systems. This research explores the effects of landfill gas on plants, and hence on the spectral response of vegetation canopies. Examination of the landfill gas/vegetation relationship is covered, both by review of the literature and statistical analysis of field data. The work showed that, although vegetation health was related to landfill gas, it was not possible to define a simple correlation. In the landfill environment, contribution from other variables, such as soil characteristics, frequently confused the relationship. Two sites are investigated in detail, the sites contrasting in terms of the data available, site conditions, and the degree of damage to vegetation. Gas migration at the Panshanger site was dominantly upwards, affecting crops being grown on the landfill cap. The injury was expressed as an overall decline in plant health. Discriminant analysis was used to account for the variations in plant health, and hence the differences in spectral response of the crop canopy, using a combination of soil and gas variables. Damage to both woodland and crops at the Ware site was severe, and could be easily related to the presence of gas. Air photographs, aerial video, and airborne thematic mapper data were used to identify damage to vegetation, and relate this to soil type. The utility of different sensors for this type of application is assessed, and possible improvements that could lead to more widespread use are identified. The situations in which remote sensing data could be combined with ground survey are identified. In addition, a possible methodology for integrating the two approaches is suggested.

Environmental lead contamination in Miami inner-city area

The purpose of the study was to evaluate the magnitude of environmental lead contamination in the downtown area of Miami. Lead inspections took place at 121 homes in Little Haiti and Liberty City and involved the collection ofrepresentative samples from floors, window wells, tap water, soil and air. Community health workers (CHWs) trained in interview and safety techniques went from door to door to enlist participation. On-site investigations were tailored to areas most utilized by children underthe age of6 years. The presence of lead-containing paint was also investigated in situ via X-ray fluorescence (XRF) analysis. Results: Of the sampling areas, the window wells area had the most abundant occurrence of lead. On analysis, 24% of sites returned window well samples with lead levels above Department of Housing and Urban Development (HUD) guidelines. Of the soil samples, the playgrounds around the house had the highest concentration of lead. Soil sampling demonstrated that 27.5% of sites returned samples with lead levels (400 to 1600 ppm) inexcess of HUD/Environmental Protection Agency (EPA) standards. Positive XRF readings in one or more components were returned by 18% of sites. Conclusions: More than half of the houses in these two neighborhoods exhibited unacceptably high levels of lead dust and soil in areas where children live and play. Limitations of this study did not allow the assessment of how many children in this area are affected. A more comprehensive study including other areas of Miami-Dade County with older housing stock is recommended.

Increase in soil organic carbon by agricultural intensification in northern China

Acknowledgements. This research was supported by National Natural Science Foundation of China (no. 31370527 and 31261140367) and the National Science and Technology Support Program of China (no. 2012BAD14B01-2). The authors gratefully thank the Huantai Agricultural Station for providing of the Soil Fertility Survey data. We also thank Zheng Liang from China Agricultural University for the soil sampling and analysis in 2011. Thanks are extended to Jessica Bellarby for helpful discussion and suggestions.

The impact of organic amendments on soil properties under mediterranean climatic conditions

Soil erosion and unsustainable land use produce adverse effects on SOC content. Soil management techniques and corrections can be applied for soil recovery, especially, with afforestaion purposes. This study presents the short term effects on the application of different treatments on soil properties for soil included in several sets of closed plots located in the experimental area of Pinarillo (Nerja, Spain). The analysed soil properties were: PH, EC, organic carbon, total nitrogen and total carbon. In order to verify possible differences, we applied the test of Mann-Whitney U in corroboration with the previous homogeneity test of variance.

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.

Soil chemical attributes and leaf nutrients of Pacovan banana under two cover crops.

Banana is one of the most consumed fruits in the world, which is grown in most tropical countries. The objective of this work was to evaluate the main attributes of soil fertility in a banana crop under two cover crops and two root development locations. The work was conducted in Curaçá, BA, Brazil, between October 2011 and May 2013, using a randomized block design in split plot with five repetitions. Two cover crops were assessed in the plots, the cover 1 consisting of Pueraria phaseoloid es, and the cover 2 consisting of a crop mix with Sorghum bicolor, Ricinus commun is L., Canavalia ensiform is, Mucuna aterrima and Zea mays, and two soil sampling locations in the subplots, between plants in the banana rows (location 1) and between the banana rows (location 2). There were significant and independent effects for the cover crop and sampling location factors for the variables organic matter, Ca and P, and significant effects for the interaction between cover crops and sampling locations for the variables potassium, magnesium and total exchangeable bases. The cover crop mix and the between-row location presented the highest organic matter content. Potassium was the nutrient with the highest negative variation from the initial content and its leaf content was below the reference value, however not reducing the crop yield. The banana crop associated with crop cover using the crop mix provided greater availability of nutrients in the soil compared to the coverage with tropical kudzu.

Variabilidade espacial de atributos físicos de um argissolo vermelho-amarelo sob pastagem e vegetação secundária em regeneração natural

This work was carried out with the objective of studying the spatial variability of the physical attributes of a Red-Yellow Ultisol under pasture and secondary vegetation in natural regeneration. Two areas were chosen in a hillside, with the soil sampling to the depth of 0-0.2 m, with the georeferenced points in a regular grid of 10x10 m, totalizing 64 points. In each point it was evaluated the total volume of porosity, macroporosity, microporosity, bulk density, soil penetration resistance and soil water content. The studied attributes in the pasture area present indicator of soil compaction for the animals' traffic, with moderate and strong structure of spatial dependence, except for the macroporosity and penetration resistance. In the area of secondary vegetation (VN) only the macroporosity does not present spatial dependence. The total volume of porosity and the bulk density present the same spatial standard in the area under pasture.

Multidimensional cluster stability analysis from a Brazilian Bradyrhizobium sp RFLP/PCR data set

The taxonomy of the N(2)-fixing bacteria belonging to the genus Bradyrhizobium is still poorly refined, mainly due to conflicting results obtained by the analysis of the phenotypic and genotypic properties. This paper presents an application of a method aiming at the identification of possible new clusters within a Brazilian collection of 119 Bradryrhizobium strains showing phenotypic characteristics of B. japonicum and B. elkanii. The stability was studied as a function of the number of restriction enzymes used in the RFLP-PCR analysis of three ribosomal regions with three restriction enzymes per region. The method proposed here uses Clustering algorithms with distances calculated by average-linkage clustering. Introducing perturbations using sub-sampling techniques makes the stability analysis. The method showed efficacy in the grouping of the species B. japonicum and B. elkanii. Furthermore, two new clusters were clearly defined, indicating possible new species, and sub-clusters within each detected cluster. (C) 2008 Elsevier B.V. All rights reserved.

Test procedure for variable rate fertilizer on coffee

The objective was to develop and test a procedure for applying variable rates of fertilizers and evaluate yield response in coffee (Coffea arabica L.) with regard to the application of phosphorus and potassium. The work was conducted during the 2004 season in a 6.4 ha field located in central Sao Paulo state. Two treatments were applied with alternating strips of fixed and variable rates during the whole season: one following the fertilizing procedures recommended locally, and the other based on a grid soil sampling. A prototype pneumatic fertilizer applicator was used, carrying two conveyor belts, one for each row. Harvesting was done with a commercial harvester equipped with a customized volumetric yield monitor, separating the two treatments. Data were analyzed based on geostatistics, correlations and regressions. The procedure showed to be feasible and effective. The area that received fertilizer applications at a variable rate showed a 34% yield increase compared to the area that received a fixed rate. The variable rate fertilizer resulted in a savings of 23% in phosphate fertilizer and a 13% increase in potassium fertilizer, when compared to fixed rate fertilizer. Yield in 2005, the year after the variable rate treatments, still presented residual effect from treatments carried out during the previous cycle.

Genetic variation in foliar carbon isotope composition in relation to tree growth and foliar nitrogen concentration in clones of the F-1 hybrid between slash pine and Caribbean pine

The objectives of this study were: (1) to quantify the genetic variation in foliar carbon isotope composition (delta(13)C) of 122 clones of ca. 4-year-old F-1 hybrids between slash pine (Pinus elliottii Engelm var. elliottii) and Caribbean pine (Pinus caribaea var. hondurensis Barr.,et Golf.) grown at two field experimental sites with different water and nitrogen availability in southeast Queensland, Australia, in relation to tree growth and foliar nitrogen concentration (N-mass); and (2) to assess the potential of using delta(13)C measurements, in the foliage materials collected from the clone hedges at nursery and the 4-year-old tree canopies in the field, as an indirect index of tree water use efficiency for selecting elite F-1 hybrid pine clones with improved tree growth. There were significant differences in foliar delta(13)C between the nursery hedges and the 4-year-old tree canopies in the field, between the summer and winter seasons, between the two experimental sites, and between the upper outer and lower outer canopy positions sampled. This indicates that delta(13)C measurements in the foliage materials are significantly influenced by the sampling techniques and environmental conditions. Significant differences in foliar delta(13)C, at the upper outer canopy in both field experiments in summer and winter, were detected between the clones, and between the female parents of the clones. Clone means of tree height at age ca. 3 years were positively related to those of the upper outer canopy delta(13)C at both experimental sites in winter, but only for the wetter site in summer. There were positive, linear relationships between clone means of canopy delta(13)C and those of canopy N-mass, indicating that canopy photosynthetic capacity might be an important factor regulating the clonal variation in canopy delta(13)C. Significant correlations were found between clone means of canopy delta(13)C at both experimental sites in summer and winter, and between those at the upper outer and lower outer canopy positions. Mean clone delta(13)C for the nursery hedges was only positively related to mean clone stem diameter at 1.3 m height at age 3 years on the wetter site. The clone by site interaction for foliar delta(13)C at the upper outer canopy was significant only in summer. Overall, the relatively high genetic variance components for foliar delta(13)C and significant, positive correlations between clone means of foliar delta(13)C and tree growth have highlighted the potential of using foliar delta(13)C measurements for assisting in selection of the elite F-1 hybrid pine clones with improved tree growth. (C) 2002 Elsevier Science B.V. All rights reserved.

Impacts of vinasse and methods of sugarcane harvesting on the availability of K and carbon stock of an Argisol

ABSTRACT Soils of tropical regions are more weathered and in need of conservation managements to maintain and improve the quality of its components. The objective of this study was to evaluate the availability of K, the organic matter content and the stock of total carbon of an Argisol after vinasse application and manual and mechanized harvesting of burnt and raw sugarcane, in western São Paulo.The data collection was done in the 2012/2013 harvest, in a bioenergy company in Presidente Prudente/SP. The research was arranged out following a split-plot scheme in a 5x5 factorial design, characterized by four management systems: without vinasse application and harvest without burning; with vinasse application and harvest without burning; with vinasse application and harvest after burning; without vinasse application and harvest after burning; plus native forest, and five soil sampling depths (0-10 10-20, 20-30, 30-40, 40-50 cm), with four replications. In each treatment, the K content in the soil and accumulated in the remaining dry biomass in the area, the levels of organic matter, organic carbon and soil carbon stock were determined. The mean values were compared by Tukey test. The vinasse application associated with the harvest without burning increased the K content in soil layers up to 40 cm deep. The managements without vinasse application and manual harvest after burning, and without vinasse application with mechanical harvesting without burning did not increase the levels of organic matter, organic carbon and stock of total soil organic carbon, while the vinasse application and harvest after burning and without burning increased the levels of these attributes in the depth of 0-10 cm.

Amostragem em auditoria

Dissertação apresentada ao Instituto Superior de Contabilidade para a obtenção do Grau de Mestre em Auditoria Orientada por Professor Doutor António Carvalho Pedrosa