Conservation of catchments: some theoretical considerations and case histories from Rio de Janeiro

Conservation has developed along two lines: protection of species and communities, and preservation of natural resources. Catchments provide the natural unit for conservation since they are the fundamental unit of terrestrial ecosystems and account for most of the flow of materials. Urban streams of the city of Rio de Janeiro are generally well protected in their headwaters by the large urban parks in steep terrain. However, the lower reaches are often very heavily impacted by sewage, channelling, etc. Fauna that require estuarine habitats for part of their life history are excluded from such streams. Ecosystem functioning in urban streams is probably changed through the loss of strongly-interacting shrimp. Leaf decomposition was found to be reduced in urban streams compared to pristine streams in one study. Conservation entities in the state of Rio de Janeiro tend to protect the mountainous areas; piedmont and coastal plain habitats are generally impacted by agriculture and habitation. Many attempts are being made to conserve catchments in the state of Rio de Janeiro; we discuss 4 case histories, which have different constraints and employ different strategies for management and conservation. Key words: connectivity, catadromous shrimp, conservation planning and management.Conservation has developed along two lines: protection of species and communities, and preservation of natural resources. Catchments provide the natural unit for conservation since they are the fundamental unit of terrestrial ecosystems and account for most of the flow of materials. Urban streams of the city of Rio de Janeiro are generally well protected in their headwaters by the large urban parks in steep terrain. However, the lower reaches are often very heavily impacted by sewage, channelling, etc. Fauna that require estuarine habitats for part of their life history are excluded from such streams. Ecosystem functioning in urban streams is probably changed through the loss of strongly-interacting shrimp. Leaf decomposition was found to be reduced in urban streams compared to pristine streams in one study. Conservation entities in the state of Rio de Janeiro tend to protect the mountainous areas; piedmont and coastal plain habitats are generally impacted by agriculture and habitation. Many attempts are being made to conserve catchments in the state of Rio de Janeiro; we discuss 4 case histories, which have different constraints and employ different strategies for management and conservation. Key words: connectivity, catadromous shrimp, conservation planning and management

Minimal Morphoelastic Models of Solid Tumour Spheroids: A Tutorial

Tumour spheroids have been the focus of a variety of mathematical models, ranging from Greenspan's classical study of the 1970 s through to contemporary agent-based models. Of the many factors that regulate spheroid growth, mechanical effects are perhaps some of the least studied, both theoretically and experimentally, though experimental enquiry has established their significance to tumour growth dynamics. In this tutorial, we formulate a hierarchy of mathematical models of increasing complexity to explore the role of mechanics in spheroid growth, all the while seeking to retain desirable simplicity and analytical tractability. Beginning with the theory of morphoelasticity, which combines solid mechanics and growth, we successively refine our assumptions to develop a somewhat minimal model of mechanically regulated spheroid growth that is free from many unphysical and undesirable behaviours. In doing so, we will see how iterating upon simple models can provide rigorous guarantees of emergent behaviour, which are often precluded by existing, more complex modelling approaches. Perhaps surprisingly, we also demonstrate that the final model considered in this tutorial agrees favourably with classical experimental results, highlighting the potential for simple models to provide mechanistic insight whilst also serving as mathematical examples

Trees, Tight-Spans and Point Configuration

Tight-spans of metrics were first introduced by Isbell in 1964 and rediscovered and studied by others, most notably by Dress, who gave them this name. Subsequently, it was found that tight-spans could be defined for more general maps, such as directed metrics and distances, and more recently for diversities. In this paper, we show that all of these tight-spans as well as some related constructions can be defined in terms of point configurations. This provides a useful way in which to study these objects in a unified and systematic way. We also show that by using point configurations we can recover results concerning one-dimensional tight-spans for all of the maps we consider, as well as extend these and other results to more general maps such as symmetric and unsymmetric maps.Comment: 21 pages, 2 figure

Poly[[aqua­(μ2-oxalato)(μ2-2-oxido­pyridinium-3-carboxylato)dysprosium(III)] monohydrate]

In the title complex, {[Dy(C6H4NO3)(C2O4)(H2O)]·H2O}n, the DyIII ion is coordinated by seven O atoms from two 2-oxidopyridinium-3-carboxylate ligands, two oxalate ligands and one water mol­ecule, displaying a distorted bicapped trigonal-prismatic geometry. The carboxyl­ate groups of the 2-oxidopyridinium-3-carboxylate and oxalate ligands link dysprosium metal centres, forming layers parallel to (100). These layers are further connected by inter­molecular O—H⋯O hydrogen-bonding inter­actions involving the coordin­ated water mol­ecules, forming a three-dimensional supra­molecular network. The uncoordinated water mol­ecule is involved in N—H⋯O and O—H⋯O hydrogen-bonding inter­actions within the layer

Identifying and explaining vibrational modes of sanbornite (low- BaSi2O5) and Ba5Si8O21: A joint experimental and theoretical study

We report here the analysis of vibrational properties of the sanbornite (low-BaSi2O5) and Ba5Si8O21 using theoretical and experimental approaches, as well as results of high temperature experiments up to 1100-1150 ̊C. The crystal parameters derived from Rietveld refinement and calculations show excellent agreement, within 4%, while the absolute mean difference between the theoretical and experimental results for the IR and Raman vibrational frequencies was <6 cm -1. The temperature-dependent Raman study renders that both sanbornite and Ba5Si8O21 display21 specific Ba and Si sites and their Ba-O and Si-O bonds. In the case of the stretching modes assigned to specific Si sites, the frequency dependence on the Si-O bond length exhibited very strong correlations. Both phases showed that for a change of 0.01 Å, the vibrational mode shifted 10 ± 2 cm-1. These results are promising for using Raman spectroscopy to track in situ reactions under a wide variety of conditions, especially during crystallization

Conservation of catchments: some theoretical considerations and case histories from Rio de Janeiro

Conservation has developed along two lines: protection of species and communities, and preservation of natural resources. Catchments provide the natural unit for conservation since they are the fundamental unit of terrestrial ecosystems and account for most of the flow of materials. Urban streams of the city of Rio de Janeiro are generally well protected in their headwaters by the large urban parks in steep terrain. However, the lower reaches are often very heavily impacted by sewage, channelling, etc. Fauna that require estuarine habitats for part of their life history are excluded from such streams. Ecosystem functioning in urban streams is probably changed through the loss of strongly-interacting shrimp. Leaf decomposition was found to be reduced in urban streams compared to pristine streams in one study. Conservation entities in the state of Rio de Janeiro tend to protect the mountainous areas; piedmont and coastal plain habitats are generally impacted by agriculture and habitation. Many attempts are being made to conserve catchments in the state of Rio de Janeiro; we discuss 4 case histories, which have different constraints and employ different strategies for management and conservation. Key words: connectivity, catadromous shrimp, conservation planning and management.Conservation has developed along two lines: protection of species and communities, and preservation of natural resources. Catchments provide the natural unit for conservation since they are the fundamental unit of terrestrial ecosystems and account for most of the flow of materials. Urban streams of the city of Rio de Janeiro are generally well protected in their headwaters by the large urban parks in steep terrain. However, the lower reaches are often very heavily impacted by sewage, channelling, etc. Fauna that require estuarine habitats for part of their life history are excluded from such streams. Ecosystem functioning in urban streams is probably changed through the loss of strongly-interacting shrimp. Leaf decomposition was found to be reduced in urban streams compared to pristine streams in one study. Conservation entities in the state of Rio de Janeiro tend to protect the mountainous areas; piedmont and coastal plain habitats are generally impacted by agriculture and habitation. Many attempts are being made to conserve catchments in the state of Rio de Janeiro; we discuss 4 case histories, which have different constraints and employ different strategies for management and conservation. Key words: connectivity, catadromous shrimp, conservation planning and management

Empirical regularities of opening call auction in Chinese stock market

We study the statistical regularities of opening call auction using the ultra-high-frequency data of 22 liquid stocks traded on the Shenzhen Stock Exchange in 2003. The distribution of the relative price, defined as the relative difference between the order price in opening call auction and the closing price of last trading day, is asymmetric and that the distribution displays a sharp peak at zero relative price and a relatively wide peak at negative relative price. The detrended fluctuation analysis (DFA) method is adopted to investigate the long-term memory of relative order prices. We further study the statistical regularities of order sizes in opening call auction, and observe a phenomenon of number preference, known as order size clustering. The probability density function (PDF) of order sizes could be well fitted by a $q$-Gamma function, and the long-term memory also exists in order sizes. In addition, both the average volume and the average number of orders decrease exponentially with the price level away from the best bid or ask price level in the limit-order book (LOB) established immediately after the opening call auction, and a price clustering phenomenon is observed.Comment: 11 pages, 6 figures, 3 table

Recognizing Treelike k-Dissimilarities

A k-dissimilarity D on a finite set X, |X| >= k, is a map from the set of size k subsets of X to the real numbers. Such maps naturally arise from edge-weighted trees T with leaf-set X: Given a subset Y of X of size k, D(Y) is defined to be the total length of the smallest subtree of T with leaf-set Y . In case k = 2, it is well-known that 2-dissimilarities arising in this way can be characterized by the so-called "4-point condition". However, in case k > 2 Pachter and Speyer recently posed the following question: Given an arbitrary k-dissimilarity, how do we test whether this map comes from a tree? In this paper, we provide an answer to this question, showing that for k >= 3 a k-dissimilarity on a set X arises from a tree if and only if its restriction to every 2k-element subset of X arises from some tree, and that 2k is the least possible subset size to ensure that this is the case. As a corollary, we show that there exists a polynomial-time algorithm to determine when a k-dissimilarity arises from a tree. We also give a 6-point condition for determining when a 3-dissimilarity arises from a tree, that is similar to the aforementioned 4-point condition.Comment: 18 pages, 4 figure