891 resultados para carrying capacity, population, limits, sustainability, planning, resilience


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Pioneering work by J. Stan Cobb described how habitat architecture and body size scaling affect shelter-related behavior of American lobsters. Subsequent research suggested that shelter availability and competition could set local carrying capacity and demographics for this species. To determine how shelter spacing affects population density, the intensity of intraspecific competition and the distribution of body size for this species, I deployed sets of 10 identically sized artificial shelters spaced at distances of 2.5, 0.5, 1.0, 1.5 and 2.0 meters on otherwise featureless substrate at 10 m depth in mid-coast Maine, U.S.A. Five sets had two parallel strings of five opposing shelters and an additional linear string set 2 to apart without opposing shelters was the most widely separated treatment. Shelters spaced I m apart and closer had higher lobster population densities, more intraspecific competition and higher proportions of empty shelters. Surprisingly, lobsters there were also significantly smaller, declining from 62.7 mm to 50.9 on the carapace (CL) for 2 to linear to 0.25 m spaced shelters, respectively. Nearly all 932 lobsters measured in this study were juvenile (< 90 mm CL) and preharvestable (< 83 mm CL) sized, so mate selection and fishing effects were unlikely. At the scale of the experiment, larger lobsters leave or avoid areas of high lobster population density and intense competition for areas of low population density and relaxed competition (called "demographic diffusion"). Scuba surveys in coastal zones found lobster population densities scale with shelter densities and were highest in boulder habitat where, like the experiment, more than half the shelters were vacant. Fisheries independent scuba and trawl surveys in Maine's shallow coastal zone repeatedly recorded declines of preharvestable, lobsters larger than 60 turn CL in size and increases of those sizes offshore and in deep water. It is possible that this demographic diffusion is driven by behaviors associated with intraspecific shelter competition.

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The American lobster Homarus americanus and kelp Laminaria longicruris and L. saccharina are prominent and often intimately associated members of the subtidal community in the western North Atlantic Ocean. However, no one has identified the nature of this relationship or specifically investigated whether kelp beds are a superior habitat for lobsters. We conducted field studies in 1990 and 1991 at a coastal site centrally located along the Gulf of Maine, USA, to determine how lobsters use kelp beds as habitat. Identically sized and spaced plots of live and artificial (plastic) kelp were established and monitored for lobster population densities. Adjacent featureless sediment plots of identical size served as controls. Lobster population density and biomass were significantly higher in both real and artificial kelp treatments than in non-kelp control plots (p < 0.0001). The change in lobster density was apparent the day following placement of the experiment, so a secondary trophic effect such as attracting prey into treatments is unlikely to have occurred. Thus, kelp beds can affect local lobster population densities by providing shelter for lobsters, thereby concentrating individuals and increasing the local carrying capacity of potential lobster habitats. The effect of kelp beds on the local carrying capacity of lobster habitats was further explored by testing how lobsters respond to differing patch sizes. A graded size series of circular patches of artificial kelp was established, in which kelp blade density and total area were held constant for each treatment. Treatments were subdivided into four 1 M2, two 2 M2, or one 4 m2 patches. Experiments were surveyed for lobster population density and size structure to determine ff statistical differences existed among treatments. Lobster density was significantly greater in the smallest patches (p < 0.001). Moreover, lobsters typically occupied the edges of kelp beds, and their abundance within kelp patches corresponded to the patch's perimeter-to-area relationship. This suggests that edge effects' influence the local carrying capacity for lobsters by influencing the lobsters' choice of kelp beds as habitat.

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El análisis de las diferentes alternativas en la planificación y diseño de corredores y trazados de carreteras debe basarse en la correcta definición de variables territoriales que sirvan como criterios para la toma de decisión y esto requiere un análisis ambiental preliminar de esas variables de calidad. En España, los estudios de viabilidad de nuevas carreteras y autovías están asociados a una fase del proceso de decisión que se corresponde con el denominado Estudio Informativo, el cual establece condicionantes físicos, ambientales, de uso del suelo y culturales que deben ser considerados en las primeras fases de la definición del trazado de un corredor de carretera. Así, la metodología más frecuente es establecer diferentes niveles de capacidad de acogida del territorio en el área de estudio con el fin de resumir las variables territoriales en mapas temáticos y facilitar el proceso de trazado de las alternativas de corredores de carretera. El paisaje es un factor limitante a tener en cuenta en la planificación y diseño de carreteras y, por tanto, deben buscarse trazados más sostenibles en relación con criterios estéticos y ecológicos del mismo. Pero este factor no es frecuentemente analizado en los Estudios Informativos e incluso, si es considerado, los estudios específicos de la calidad del paisaje (estético y ecológico) y de las formas del terreno no incorporan las recomendaciones de las guías de trazado para evitar o reducir los impactos en el paisaje. Además, los mapas de paisaje que se generan en este tipo de estudios no se corresponden con la escala de desarrollo del Estudio Informativo (1:5.000). Otro déficit común en planificación de corredores y trazados de carreteras es que no se tiene en cuenta la conectividad del paisaje durante el proceso de diseño de la carretera para prevenir la afección a los corredores de fauna existentes en el paisaje. Este déficit puede originar un posterior efecto barrera en los movimientos dispersivos de la fauna y la fragmentación de sus hábitats debido a la ocupación parcial o total de las teselas de hábitats con importancia biológica para la fauna (o hábitats focales) y a la interrupción de los corredores de fauna que concentran esos movimientos dispersivos de la fauna entre teselas. El objetivo principal de esta tesis es mejorar el estudio del paisaje para prevenir su afección durante el proceso de trazado de carreteras, facilitar la conservación de los corredores de fauna (o pasillos verdes) y la localización de medidas preventivas y correctoras en términos de selección y cuantificación de factores de idoneidad a fin de reducir los impactos visuales y ecológicos en el paisaje a escala local. Concretamente, la incorporación de valores cuantitativos y bien justificados en el proceso de decisión permite incrementar la transparencia en el proceso de diseño de corredores y trazados de carreteras. Con este fin, se han planteado cuatro preguntas específicas en esta investigación (1) ¿Cómo se seleccionan y evalúan los factores territoriales limitantes para localizar una nueva carretera por los profesionales españoles de planificación del territorio en relación con el paisaje? (2) ¿Cómo pueden ser definidos los corredores de fauna a partir de factores del paisaje que influyen en los movimientos dispersivos de la fauna? (3) ¿Cómo pueden delimitarse y evaluarse los corredores de fauna incluyendo el comportamiento parcialmente errático en los movimientos dispersivos de la fauna y el efecto barrera de los elementos antrópicos a una escala local? (4) ¿Qué y cómo las recomendaciones de diseño de carreteras relacionadas con el paisaje y las formas del terreno pueden ser incluidas en un modelo de Sistemas de Información Geográfica (SIG) para ayudar a los ingenieros civiles durante el proceso de diseño de un trazado de carreteras bajo el punto de vista de la sostenibilidad?. Esta tesis doctoral propone nuevas metodologías que mejoran el análisis visual y ecológico del paisaje utilizando indicadores y modelos SIG para obtener alternativas de trazado que produzcan un menor impacto en el paisaje. Estas metodologías fueron probadas en un paisaje heterogéneo con una alta tasa de densidad de corzo (Capreolus capreolus L.), uno de los grandes mamíferos más atropellados en la red de carreteras españolas, y donde está planificada la construcción de una nueva autovía que atravesará la mitad del área de distribución del corzo. Inicialmente, se han analizado las variables utilizadas en 22 estudios de proyectos de planificación de corredores de carreteras promovidos por el Ministerio de Fomento entre 2006 y 2008. Estas variables se agruparon según condicionantes físicos, ambientales, de usos del suelo y culturales con el fin de comparar los valores asignados de capacidad de acogida del territorio a cada variable en los diferentes estudios revisados. Posteriormente, y como etapa previa de un análisis de conectividad, se construyó un mapa de resistencia de los movimientos dispersivos del corzo en base a la literatura y al juicio de expertos. Usando esta investigación como base, se le asignó un valor de resistencia a cada factor seleccionado para construir la matriz de resistencia, ponderándolo y combinándolo con el resto de factores usando el proceso analítico jerárquico y los operadores de lógica difusa como métodos de análisis multicriterio. Posteriormente, se diseñó una metodología SIG para delimitar claramente la extensión física de los corredores de fauna de acuerdo a un valor umbral de ancho geométrico mínimo, así como la existencia de múltiples potenciales conexiones entre cada par de teselas de hábitats presentes en el paisaje estudiado. Finalmente, se realizó un procesado de datos Light Detection and Ranging (LiDAR) y un modelo SIG para calcular la calidad del paisaje (estético y ecológico), las formas del terreno que presentan características similares para trazar una carretera y la acumulación de vistas de potenciales conductores y observadores de los alrededores de la nueva vía. Las principales contribuciones de esta investigación al conocimiento científico existente en el campo de la evaluación del impacto ambiental en relación al diseño de corredores y trazados de carreteras son cuatro. Primero, el análisis realizado de 22 Estudios Informativos de planificación de carreteras reveló que los métodos aplicados por los profesionales para la evaluación de la capacidad de acogida del territorio no fue suficientemente estandarizada, ya que había una falta de uniformidad en el uso de fuentes cartográficas y en las metodologías de evaluación de la capacidad de acogida del territorio, especialmente en el análisis de la calidad del paisaje estético y ecológico. Segundo, el análisis realizado en esta tesis destaca la importancia de los métodos multicriterio para estructurar, combinar y validar factores que limitan los movimientos dispersivos de la fauna en el análisis de conectividad. Tercero, los modelos SIG desarrollados Generador de alternativas de corredores o Generator of Alternative Corridors (GAC) y Eliminador de Corredores Estrechos o Narrow Corridor Eraser (NCE) pueden ser aplicados sistemáticamente y sobre una base científica en análisis de conectividad como una mejora de las herramientas existentes para la comprensión el paisaje como una red compuesta por nodos y enlaces interconectados. Así, ejecutando los modelos GAC y NCE de forma iterativa, pueden obtenerse corredores alternativos con similar probabilidad de ser utilizados por la fauna y sin que éstos presenten cuellos de botella. Cuarto, el caso de estudio llevado a cabo de prediseño de corredores y trazado de una nueva autovía ha sido novedoso incluyendo una clasificación semisupervisada de las formas del terreno, filtrando una nube de puntos LiDAR e incluyendo la nueva geometría 3D de la carretera en el Modelo Digital de Superficie (MDS). El uso combinado del procesamiento de datos LiDAR y de índices y clasificaciones geomorfológicas puede ayudar a los responsables encargados en la toma de decisiones a evaluar qué alternativas de trazado causan el menor impacto en el paisaje, proporciona una visión global de los juicios de valor más aplicados y, en conclusión, define qué medidas de integración paisajística correctoras deben aplicarse y dónde. ABSTRACT The assessment of different alternatives in road-corridor planning and layout design must be based on a number of well-defined territorial variables that serve as decision-making criteria, and this requires a high-quality preliminary environmental analysis of those quality variables. In Spain, feasibility studies for new roads and motorways are associated to a phase of the decision procedure which corresponds with the one known as the Informative Study, which establishes the physical, environmental, land-use and cultural constraints to be considered in the early stages of defining road corridor layouts. The most common methodology is to establish different levels of Territorial Carrying Capacity (TCC) in the study area in order to summarize the territorial variables on thematic maps and facilitate the tracing process of road-corridor layout alternatives. Landscape is a constraint factor that must be considered in road planning and design, and the most sustainable layouts should be sought based on aesthetic and ecological criteria. However this factor is not often analyzed in Informative Studies and even if it is, baseline studies on landscape quality (aesthetic and ecological) and landforms do not usually include the recommendations of road tracing guides designed to avoid or reduce impacts on the landscape. The resolution of the landscape maps produced in this type of studies does not comply with the recommended road design scale (1:5,000) in the regulations for the Informative Study procedure. Another common shortcoming in road planning is that landscape ecological connectivity is not considered during road design in order to avoid affecting wildlife corridors in the landscape. In the prior road planning stage, this issue could lead to a major barrier effect for fauna dispersal movements and to the fragmentation of their habitat due to the partial or total occupation of habitat patches of biological importance for the fauna (or focal habitats), and the interruption of wildlife corridors that concentrate fauna dispersal movements between patches. The main goal of this dissertation is to improve the study of the landscape and prevent negative effects during the road tracing process, and facilitate the preservation of wildlife corridors (or green ways) and the location of preventive and corrective measures by selecting and quantifying suitability factors to reduce visual and ecological landscape impacts at a local scale. Specifically the incorporation of quantitative and well-supported values in the decision-making process provides increased transparency in the road corridors and layouts design process. Four specific questions were raised in this research: (1) How are territorial constraints selected and evaluated in terms of landscape by Spanish land-planning practitioners before locating a new road? (2) How can wildlife corridors be defined based on the landscape factors influencing the dispersal movements of fauna? (3) How can wildlife corridors be delimited and assessed to include the partially erratic movements of fauna and the barrier effect of the anthropic elements at a local scale? (4) How recommendations of road design related to landscape and landforms can be included in a Geographic Information System (GIS) model to aid civil engineers during the road layout design process and support sustainable development? This doctoral thesis proposes new methodologies that improve the assessment of the visual and ecological landscape character using indicators and GIS models to obtain road layout alternatives with a lower impact on the landscape. These methodologies were tested on a case study of a heterogeneous landscape with a high density of roe deer (Capreolus capreolus L.) –one of the large mammals most commonly hit by vehicles on the Spanish road network– and where a new motorway is planned to pass through the middle of their distribution area. We explored the variables used in 22 road-corridor planning projects sponsored by the Ministry of Public Works between 2006 and 2008. These variables were grouped into physical, environmental, land-use and cultural constraints for the purpose of comparing the TCC values assigned to each variable in the various studies reviewed. As a prior stage in a connectivity analysis, a map of resistance to roe deer dispersal movements was created based on the literature and experts judgment. Using this research as a base, each factor selected to build the matrix was assigned a resistance value and weighted and combined with the rest of the factors using the analytic hierarchy process (AHP) and fuzzy logic operators as multicriteria assessment (MCA) methods. A GIS methodology was designed to clearly delimit the physical area of wildlife corridors according to a geometric threshold width value, and the multiple potential connections between each pair of habitat patches in the landscape. A Digital Surface Model Light Detection and Ranging (LiDAR) dataset processing and a GIS model was performed to determine landscape quality (aesthetic and ecological) and landforms with similar characteristics for the road layout, and the cumulative viewshed of potential drivers and observers in the area surrounding the new motorway. The main contributions of this research to current scientific knowledge in the field of environmental impact assessment for road corridors and layouts design are four. First, the analysis of 22 Informative Studies on road planning revealed that the methods applied by practitioners for assessing the TCC were not sufficiently standardized due to the lack of uniformity in the cartographic information sources and the TCC valuation methodologies, especially in the analysis of the aesthetic and ecological quality of the landscape. Second, the analysis in this dissertation highlights the importance of multicriteria methods to structure, combine and validate factors that constrain wildlife dispersal movements in the connectivity analysis. Third, the “Generator of Alternative Corridors (GAC)” and “Narrow Corridor Eraser (NCE)” GIS models developed can be applied systematically and on a scientific basis in connectivity analyses to improve existing tools and understand landscape as a network composed of interconnected nodes and links. Thus, alternative corridors with similar probability of use by fauna and without bottlenecks can be obtained by iteratively running GAC and NCE models. Fourth, our case study of new motorway corridors and layouts design innovatively included semi-supervised classification of landforms, filtering of LiDAR point clouds and new 3D road geometry on the Digital Surface Model (DSM). The combined used of LiDAR data processing and geomorphological indices and classifications can help decision-makers assess which road layouts produce lower impacts on the landscape, provide an overall insight into the most commonly applied value judgments, and in conclusion, define which corrective measures should be applied in terms of landscaping, and where.

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A stochastic metapopulation model accounting for habitat dynamics is presented. This is the stochastic SIS logistic model with the novel aspect that it incorporates varying carrying capacity. We present results of Kurtz and Barbour, that provide deterministic and diffusion approximations for a wide class of stochastic models, in a form that most easily allows their direct application to population models. These results are used to show that a suitably scaled version of the metapopulation model converges, uniformly in probability over finite time intervals, to a deterministic model previously studied in the ecological literature. Additionally, they allow us to establish a bivariate normal approximation to the quasi-stationary distribution of the process. This allows us to consider the effects of habitat dynamics on metapopulation modelling through a comparison with the stochastic SIS logistic model and provides an effective means for modelling metapopulations inhabiting dynamic landscapes.

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It has long been recognized that demographic structure within a population can significantly affect the likely outcomes of harvest. Many studies have focussed on equilibrium dynamics and maximization of the value of the harvest taken. However, in some cases the management objective is to maintain the population at a abundance that is significantly below the carrying capacity. Achieving such an objective by harvest can be complicated by the presence of significant structure (age or stage) in the target population. in such cases, optimal harvest strategies must account for differences among age- or stage-classes of individuals in their relative contribution to the demography of the population. In addition, structured populations are also characterized by transient non-linear dynamics following perturbation, such that even under an equilibrium harvest, the population may exhibit significant momentum, increasing or decreasing before cessation of growth. Using simple linear time-invariant models, we show that if harvest levels are set dynamically (e.g., annually) then transient effects can be as or more important than equilibrium outcomes. We show that appropriate harvest rates can be complicated by uncertainty about the demographic structure of the population, or limited control over the structure of the harvest taken. (c) 2006 Elsevier B.V. All rights reserved.

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What is the maximum rate at which information can be transmitted error-free in fibre-optic communication systems? For linear channels, this was established in classic works of Nyquist and Shannon. However, despite the immense practical importance of fibre-optic communications providing for >99% of global data traffic, the channel capacity of optical links remains unknown due to the complexity introduced by fibre nonlinearity. Recently, there has been a flurry of studies examining an expected cap that nonlinearity puts on the information-carrying capacity of fibre-optic systems. Mastering the nonlinear channels requires paradigm shift from current modulation, coding and transmission techniques originally developed for linear communication systems. Here we demonstrate that using the integrability of the master model and the nonlinear Fourier transform, the lower bound on the capacity per symbol can be estimated as 10.7 bits per symbol with 500 GHz bandwidth over 2,000 km.

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Many beef producers within the extensive cattle industry of northern Australia attempt to maintain a constant herd size from year-to-year (fixed stocking), whereas others adjust stock numbers to varying degrees annually in response to changes in forage supply. The effects of these strategies on pasture condition and cattle productivity cannot easily be assessed by grazing trials. Simulation studies, which include feedbacks of changes to pasture condition on cattle liveweight gain, can extend the results of grazing trials both spatially and temporally. They can compare a large number of strategies, over long periods of time, for a range of climate periods, at locations which differ markedly in climate. This simulation study compared the pasture condition and cattle productivity achieved by fixed stocking at the long-term carrying capacity with that of 55 flexible stocking strategies at 28 locations across Queensland and the Northern Territory. Flexible stocking strategies differed markedly in the degree they increased or decreased cattle stocking rates after good and poor pasture growing seasons, respectively. The 28 locations covered the full range in average annual rainfall and inter-annual rainfall variability experienced across northern Australia. Constrained flexibility, which limited increases in stocking rates after good growing seasons to 10% but decreased them by up to 20% after poor growing seasons, provides sustainable productivity gains for cattle producers in northern Australia. This strategy can improve pasture condition and increase cattle productivity relative to fixed stocking at the long-term carrying capacity, and its capacity to do this was greatest in the semiarid rangeland regions that contain the majority of beef cattle in northern Australia. More flexible stocking strategies, which also increased stocking rates after good growing seasons by only half as much as they decreased them after poor growing seasons, were equally sustainable and more productive than constrained flexibility, but are often impractical at property and industry scales. Strategies with the highest limits (e.g. 70%) for both annual increases and decreases in stocking rates could achieve higher cattle productivity, but this was at the expense of pasture condition and was not sustainable. Constrained flexible stocking, with a 10% limit for increases and a 20% limit for decreases in stocking rates annually, is a risk-averse adaptation to high and unpredictable rainfall variability for the extensive beef industry of northern Australia. © Australian Rangeland Society 2016.

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Dissertação de Mestrado, Arquitetura Paisagista, Faculdade de Ciências e Tecnologia, Universidade do Algarve, 2016

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This paper reports on progress in developing new design and measurement concepts, and translating these concepts into practical applications. This research addresses gaps in ‘best practice’ green building, and is aimed ultimately at replacing green buildings with sustainable urban environments. Building on the author’s previously articulated concepts of Design for Eco-services and Positive Development, this research will demonstrate how to eco-retrofit cities so that they reverse the negative impacts of past design and generate net positive ecological impacts, at no extra cost. In contrast to ‘restorative’ design,this means increasing ecological carrying capacity and natural and social capital through built environment design. Some exemplars for facilitating Positive development will be presented in this talk,such as Green Scaffolding for retrofits, and Green Space Walls for new construction. These structures have been designed to grow and change over time, be easily deconstructed, and entail little waste. The frames support mini-ecospheres that provide a wide range of ecosystem services and biodiversity habitats, as well as heating, cooling and ventilating. In combination, the modules serve to improve human and environmental health. Current work is focused on developing a range of such space frame walls, optimised through an innovative marriage of eco-logical design and virtual modelling.

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Carbon nanotubes (CNTs) are expected to become the ideal constituent of many technologes, in particular for future generation electronics. This considerable interest is due to their unique electrical and mechanical properties. They show indeed super-high current-carrying capacity, ballistic electron transport and good field-emission properties. Then, these superior features make CNTs the most promising building blocks for electronic devices, as organic solar cells and organic light emitting devices (OLED). By using Focused Ion Beam (FIB) patterning it is possible to a obtain a high control on position, relative distances and diameter of CNTs. The present work shows how to grow three-dimensional architecture made of vertical-aligned CNTs directly on silicon. Thanks to the higher activity of a pre-patterned surface the synthesis process results very quick, cheap and simple. Such large area growths of CNTs could be used in preliminary test for application as electrodes for organic solar cells.

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Marinas currently exist primarily to service recreational boats, and these vessels are a potential cause of both problems and opportunities in environmental management. Thus, on the one hand, destructive fuel and other pollutants may be expelled, boat wakes can cause littoral soil erosion, physical damage results from collisions with marine life, and litter and noise pollution occur in otherwise pristine habitat. Boats also provide access to otherwise inaccessible natural environments for educational and other management reasons. In this study, boat traffic at three large marinas located along the Queensland coastline has been field surveyed for introductory information. No attempt was made at this juncture to survey the behaviour of the boat crews and passengers (concerning actual destinations, activities on board, etc. or to survey the recreational boat industry. Such studies rely on boat registration records and personal questionnaires. Some other surveys relating to fishing draw on boat ramp surveys and direct submissions by recreational fishers; these provide some data on daily usage of boat ramps, but without particular attention to boats. We believe field observations of overall boat activities in the water are necessary for environmental management purposes. The aim of the survey was to provide information to help prioritize the potential impacts that boats’ activities have on the surrounding natural environment. Any impact by boats will be a product of their numbers, size, frequency of movement, carrying capacity and routes/destinations. The severity of impacts will dictate the appropriate management action.

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This paper describes a series of double strap shear tests loaded in tension to investigate the bond between CFRP sheets and steel plates. Both normal modulus (240 GPa) and high modulus (640 GPa) CFRPs were used in the test program. Strain gauges were mounted to capture the strain distribution along the CFRP length. Different failure modes were observed for joints with normal modulus CFRP and those with high modulus CFRP. The strain distribution along the CFRP length was found to be similar for the two cases. A shorter effective bond length was obtained for joints with high modulus CFRP whereas larger ultimate load carrying capacity can be achieved for joints with normal modulus CFRP when the bond length is long enough. The Hart-Smith Model was modified to predict the effective bond length and ultimate load carrying capacity of joints between the normal modulus CFRP and steel plates. The Multilayer Distribution Model developed by the authors was modified to predict the load carrying capacity of joints between the high modulus CFRP and steel plates. The predicted values agreed well with experimental ones.

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Deterministic transit capacity analysis applies to planning, design and operational management of urban transit systems. The Transit Capacity and Quality of Service Manual (1) and Vuchic (2, 3) enable transit performance to be quantified and assessed using transit capacity and productive capacity. This paper further defines important productive performance measures of an individual transit service and transit line. Transit work (p-km) captures the transit task performed over distance. Passenger transmission (p-km/h) captures the passenger task delivered by service at speed. Transit productiveness (p-km/h) captures transit work performed over time. These measures are useful to operators in understanding their services’ or systems’ capabilities and passenger quality of service. This paper accounts for variability in utilized demand by passengers along a line and high passenger load conditions where passenger pass-up delay occurs. A hypothetical case study of an individual bus service’s operation demonstrates the usefulness of passenger transmission in comparing existing and growth scenarios. A hypothetical case study of a bus line’s operation during a peak hour window demonstrates the theory’s usefulness in examining the contribution of individual services to line productive performance. Scenarios may be assessed using this theory to benchmark or compare lines and segments, conditions, or consider improvements.

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Models of cell invasion incorporating directed cell movement up a gradient of an external substance and carrying capacity-limited proliferation give rise to travelling wave solutions. Travelling wave profiles with various shapes, including smooth monotonically decreasing, shock-fronted monotonically decreasing and shock-fronted nonmonotone shapes, have been reported previously in the literature. The existence of tacticallydriven shock-fronted nonmonotone travelling wave solutions is analysed for the first time. We develop a necessary condition for nonmonotone shock-fronted solutions. This condition shows that some of the previously reported shock-fronted nonmonotone solutions are genuine while others are a consequence of numerical error. Our results demonstrate that, for certain conditions, travelling wave solutions can be either smooth and monotone, smooth and nonmonotone or discontinuous and nonmonotone. These different shapes correspond to different invasion speeds. A necessary and sufficient condition for the travelling wave with minimum wave speed to be nonmonotone is presented. Several common forms of the tactic sensitivity function have the potential to satisfy the newly developed condition for nonmonotone shock-fronted solutions developed in this work.