The impact of uncertainty in satellite data on the assessment of flood inundation models

The performance of flood inundation models is often assessed using satellite observed data; however these data have inherent uncertainty. In this study we assess the impact of this uncertainty when calibrating a flood inundation model (LISFLOOD-FP) for a flood event in December 2006 on the River Dee, North Wales, UK. The flood extent is delineated from an ERS-2 SAR image of the event using an active contour model (snake), and water levels at the flood margin calculated through intersection of the shoreline vector with LiDAR topographic data. Gauged water levels are used to create a reference water surface slope for comparison with the satellite-derived water levels. Residuals between the satellite observed data points and those from the reference line are spatially clustered into groups of similar values. We show that model calibration achieved using pattern matching of observed and predicted flood extent is negatively influenced by this spatial dependency in the data. By contrast, model calibration using water elevations produces realistic calibrated optimum friction parameters even when spatial dependency is present. To test the impact of removing spatial dependency a new method of evaluating flood inundation model performance is developed by using multiple random subsamples of the water surface elevation data points. By testing for spatial dependency using Moran’s I, multiple subsamples of water elevations that have no significant spatial dependency are selected. The model is then calibrated against these data and the results averaged. This gives a near identical result to calibration using spatially dependent data, but has the advantage of being a statistically robust assessment of model performance in which we can have more confidence. Moreover, by using the variations found in the subsamples of the observed data it is possible to assess the effects of observational uncertainty on the assessment of flooding risk.

Mathematics as a tool in the Life Sciences

Teaching mathematics to students in the biological sciences is often fraught with difficulty. Students often discover mathematics to be a very 'dry' subject in which it is difficult to see the motivation of learning it given its often abstract application. In this paper I advocate the use of mathematical modelling as a method for engaging students in understanding the use of mathematics in helping to solve problems in the Biological Sciences. The concept of mathematics as a laboratory tool is introduced and the importance of presenting students with relevant, real-world examples of applying mathematics in the Biological Sciences is discussed.

The Gift of the Nile: Hellenizing Egypt from Aeschylus to Alexander

The Egyptians mesmerized the ancient Greeks for scores of years. The Greek literature and art of the classical period are especially thick with representations of Egypt and Egyptians. Yet despite numerous firsthand contacts with Egypt, Greek writers constructed their own Egypt, one that differed in significant ways from actual Egyptian history, society, and culture. Informed by recent work on orientalism and colonialism, this book unravels the significance of these misrepresentations of Egypt in the Greek cultural imagination in the fifth and fourth centuries B.C.E. Looking in particular at issues of identity, otherness, and cultural anxiety, Phiroze Vasunia shows how Greek authors constructed an image of Egypt that reflected their own attitudes and prejudices about Greece itself. He focuses his discussion on Aeschylus Suppliants; Book 2 of Herodotus; Euripides' Helen; Plato's Phaedrus, Timaeus, and Critias; and Isocrates' Busiris. Reconstructing the history of the bias that informed these writings, Vasunia shows that Egypt in these works was shaped in relation to Greek institutions, values, and ideas on such subjects as gender and sexuality, death, writing, and political and ethnic identity. This study traces the tendentiousness of Greek representations by introducing comparative Egyptian material, thus interrogating the Greek texts and authors from a cross-cultural perspective. A final chapter also considers the invasion of Egypt by Alexander the Great and shows how he exploited and revised the discursive tradition in his conquest of the country. Firmly and knowledgeably rooted in classical studies and the ancient sources, this study takes a broad look at the issue of cross-cultural exchange in antiquity by framing it within the perspective of contemporary cultural studies. In addition, this provocative and original work shows how Greek writers made possible literary Europe's most persistent and adaptable obsession: the barbarian.

Prowess, the Nine Worthies and the Hundred Years War: the Prologues to the Chroniques of Jean Froissart and Enguerrand de Monstrelet

An analysis of the evolution of the image of chivalry in the successive redactions of the Prologue to Froissart's Chroniques, focussing on the figures of the Nine Worthies as models of behaviour for young noblemen. This is then compared and contrasted with the prologue written by his continuator, Enguerrand de Monstrelet, whose work betrays a shift in sensibilities that expresses itself, inter alia, by a near-total absence of the Worthies in his Chronique. Close textual analysis suggests that the two choniclers shared a comparable sense of disillusion, though expressed in different ways.

On the universal TRO of a JC*-triple, ideals and tensor products

In a development from material introduced in recent work, we discuss the interconnections between ternary rings of operators (TROs) and right C*-algebras generated by JC*-triples, deducing that every JC*-triple possesses a largest universally reversible ideal, that the universal TRO commutes with appropriate tensor products and establishing a reversibility criterion for type I JW*-triples.

Winckelmann and the invention of antiquity: history and aesthetics in the age of Altertumswissenschaft

This volume provides a new perspective on the emergence of the modern study of antiquity, Altertumswissenschaft, in eighteenth-century Germany through an exploration of debates that arose over the work of the art historian Johann Joachim Winckelmann between his death in 1768 and the end of the century. This period has long been recognised as particularly formative for the development of modern classical studies, and over the past few decades has received increased attention from historians of scholarship and of ideas. Winckelmann's eloquent articulation of the cultural and aesthetic value of studying the ancient Greeks, his adumbration of a new method for studying ancient artworks, and his provision of a model of cultural-historical development in terms of a succession of period styles, influenced both the public and intra-disciplinary self-image of classics long into the twentieth century. Yet this area of Winckelmann's Nachleben has received relatively little attention compared with the proliferation of studies concerning his importance for late eighteenth-century German art and literature, for historians of sexuality, and his traditional status as a 'founder figure' within the academic disciplines of classical archaeology and the history of art. Harloe restores the figure of Winckelmann to classicists' understanding of the history of their own discipline and uses debates between important figures, such as Christian Gottlob Heyne, Friedrich August Wolf, and Johann Gottfried Herder, to cast fresh light upon the emergence of the modern paradigm of classics as Altertumswissenschaft: the multi-disciplinary, comprehensive, and historicizing study of the ancient world.

Spectral theory of Toeplitz and Hankel operators on the Bergman space A1

The Fredholm properties of Toeplitz operators on the Bergman space A2 have been well-known for continuous symbols since the 1970s. We investigate the case p=1 with continuous symbols under a mild additional condition, namely that of the logarithmic vanishing mean oscillation in the Bergman metric. Most differences are related to boundedness properties of Toeplitz operators acting on Ap that arise when we no longer have 1of Hankel operators on A1.

Natural effusions: Mrs J. Howorth’s English translation of Albrecht von Haller’s Die Alpen

Albrecht von Haller's Die Alpen [The Alps] was an immensely popular piece of early eighteenth-century poetry, yet it took more than half a century to be translated into English. In this article I examine Mrs J. Howorth's prose rendering of it in her translated collection The Poems of Baron Haller (1794) and analyse how the translation itself reflects late-eighteenth-century scientific, political and aesthetic concerns, notably through the influence of Linnaeus and Jean-Jacques Rousseau. Secondly, I explore how Howorth constructed a public image of herself as a female consumer and producer of botanical literature, and argue that her translation constitutes an early example of British women's increasing engagement in science through the activity of translation.

Mathematics applied to the climate system: outstanding challenges and recent progress

The societal need for reliable climate predictions and a proper assessment of their uncertainties is pressing. Uncertainties arise not only from initial conditions and forcing scenarios, but also from model formulation. Here, we identify and document three broad classes of problems, each representing what we regard to be an outstanding challenge in the area of mathematics applied to the climate system. First, there is the problem of the development and evaluation of simple physically based models of the global climate. Second, there is the problem of the development and evaluation of the components of complex models such as general circulation models. Third, there is the problem of the development and evaluation of appropriate statistical frameworks. We discuss these problems in turn, emphasizing the recent progress made by the papers presented in this Theme Issue. Many pressing challenges in climate science require closer collaboration between climate scientists, mathematicians and statisticians. We hope the papers contained in this Theme Issue will act as inspiration for such collaborations and for setting future research directions.

A generalized collectively compact operator theory with an application to integral equations on unbounded domains

In this paper a generalization of collectively compact operator theory in Banach spaces is developed. A feature of the new theory is that the operators involved are no longer required to be compact in the norm topology. Instead it is required that the image of a bounded set under the operator family is sequentially compact in a weaker topology. As an application, the theory developed is used to establish solvability results for a class of systems of second kind integral equations on unbounded domains, this class including in particular systems of Wiener-Hopf integral equations with L1 convolutions kernels

The FunFOLD2 server for the prediction of protein-ligand interactions

The FunFOLD2 server is a new independent server that integrates our novel protein–ligand binding site and quality assessment protocols for the prediction of protein function (FN) from sequence via structure. Our guiding principles were, first, to provide a simple unified resource to make our function prediction software easily accessible to all via a simple web interface and, second, to produce integrated output for predictions that can be easily interpreted. The server provides a clean web interface so that results can be viewed on a single page and interpreted by non-experts at a glance. The output for the prediction is an image of the top predicted tertiary structure annotated to indicate putative ligand-binding site residues. The results page also includes a list of the most likely binding site residues and the types of predicted ligands and their frequencies in similar structures. The protein–ligand interactions can also be interactively visualized in 3D using the Jmol plug-in. The raw machine readable data are provided for developers, which comply with the Critical Assessment of Techniques for Protein Structure Prediction data standards for FN predictions. The FunFOLD2 webserver is freely available to all at the following web site: http://www.reading.ac.uk/bioinf/FunFOLD/FunFOLD_form_2_0.html.

Detection of flooded urban areas in high resolution Synthetic Aperture Radar images using double scattering

Flooding is a particular hazard in urban areas worldwide due to the increased risks to life and property in these regions. Synthetic Aperture Radar (SAR) sensors are often used to image flooding because of their all-weather day-night capability, and now possess sufficient resolution to image urban flooding. The flood extents extracted from the images may be used for flood relief management and improved urban flood inundation modelling. A difficulty with using SAR for urban flood detection is that, due to its side-looking nature, substantial areas of urban ground surface may not be visible to the SAR due to radar layover and shadow caused by buildings and taller vegetation. This paper investigates whether urban flooding can be detected in layover regions (where flooding may not normally be apparent) using double scattering between the (possibly flooded) ground surface and the walls of adjacent buildings. The method estimates double scattering strengths using a SAR image in conjunction with a high resolution LiDAR (Light Detection and Ranging) height map of the urban area. A SAR simulator is applied to the LiDAR data to generate maps of layover and shadow, and estimate the positions of double scattering curves in the SAR image. Observations of double scattering strengths were compared to the predictions from an electromagnetic scattering model, for both the case of a single image containing flooding, and a change detection case in which the flooded image was compared to an un-flooded image of the same area acquired with the same radar parameters. The method proved successful in detecting double scattering due to flooding in the single-image case, for which flooded double scattering curves were detected with 100% classification accuracy (albeit using a small sample set) and un-flooded curves with 91% classification accuracy. The same measures of success were achieved using change detection between flooded and un-flooded images. Depending on the particular flooding situation, the method could lead to improved detection of flooding in urban areas.