An Introduction to Numerical Classification


Book Description

An Introduction to Numerical Classification describes the rationale of numerical analyses by means of geometrical models or worked examples without possible extensive algebraic symbolism. Organized into 13 chapters, the book covers both the taxonomic and ecological aspects of numerical classification. After briefly presenting different terminologies used in this work, the book examines several types of biological classification, including classification by structure, proximity, similarity, and difference. It then describes various ecological and taxonomic data manipulations, such as data reduction, transformation, and standardization. Other chapters deal with the criteria for best computer classification and the complexities and difficulties in this classification. These difficulties are illustrated by reference to studies of the ""bottom communities"" of benthic marine invertebrates, ranging across the entire field from the sampling program and nature of the data to problems over the type of computer used. The concluding chapters consider some of the measures of diversity and the interpretations which have been made from them, as well as the relationship of diversity to classification. The concept and application in biological classification of various multivariate analyses are also discussed in these texts. Supplemental texts on the information measures, partitioning, and interdependence of data diversity are also provided. This book is of value to biologists and researchers who are interested in basic biological numerical classification.




An Introduction to Numerical Classification


Book Description

An Introduction to Numerical Classification describes the rationale of numerical analyses by means of geometrical models or worked examples without possible extensive algebraic symbolism. Organized into 13 chapters, the book covers both the taxonomic and ecological aspects of numerical classification. After briefly presenting different terminologies used in this work, the book examines several types of biological classification, including classification by structure, proximity, similarity, and difference. It then describes various ecological and taxonomic data manipulations, such as data reduc ...




An Introduction to Numerical Classification


Book Description

An Introduction to Numerical Classification describes the rationale of numerical analyses by means of geometrical models or worked examples without possible extensive algebraic symbolism. Organized into 13 chapters, the book covers both the taxonomic and ecological aspects of numerical classification. After briefly presenting different terminologies used in this work, the book examines several types of biological classification, including classification by structure, proximity, similarity, and difference. It then describes various ecological and taxonomic data manipulations, such as data reduc ...




Typologies and Taxonomies


Book Description

How do we group different subjects on a variety of variables? Should we use a classification procedure in which only the concepts are classified (typology), one in which only empirical entities are classified (taxonomy), or some combination of both? In this clearly written book, Bailey addresses these questions and shows how classification methods can be used to improve research. Beginning with an exploration of the advantages and disadvantages of classification procedures including those typologies that can be constructed without the use of a computer, the book covers such topics as clustering procedures (including agglomerative and divisive methods), the relationship among various classification techniques (including the relationship of monothetic, qualitative typologies to polythetic, quantitative taxonomies), a comparison of clustering methods and how these methods compare with related statistical techniques such as factor analysis, multidimensional scaling and systems analysis, and lists classification resources. This volume also discusses software packages for use in clustering techniques.




Ordination of Plant Communities


Book Description

A large part of ecological research depends on use of two ap proaches to synthesizing information about natural communities: classification of communities (or samples representing these) into groups, and ordination (or arrangement) of samples in relation to environmental variables. A book published in 1973, 'Ordination and Classification of Communities,' sought to provide, through contributions by an international panel of authors, a coherent treatise on these methods. The book appeared then as Volume 5 of the Handbook of Vegetation Science, for which R. TuxEN is general editor. The desire to make this work more widely available in a less expensive form is one of the reasons for this second edition separating the articles on ordinction and on classification into two volumes. The other reason is the rapid advancement of understanding in the area of indirect ordination-mathematical techniques that seek to use measurements of samples from natural communities to produce arrangements that reveal environmental relationships of these communities. Such is the rate of change in this area that the last chapter on ordination in the first edition is already, 4 or 5 years after it was written, out of date; and new techniques of indirect ordination that could only be mentioned as possibilities in the first edition are becoming prominent in the field. In preparing the second edition the chapter on evaluation of ordinations has been rewritten, a new chapter on recent developments in continuous multivariate techniques has been included, and references to recent work have been added to other chapters.




Introduction to Numerical Analysis


Book Description

On the occasion of this new edition, the text was enlarged by several new sections. Two sections on B-splines and their computation were added to the chapter on spline functions: Due to their special properties, their flexibility, and the availability of well-tested programs for their computation, B-splines play an important role in many applications. Also, the authors followed suggestions by many readers to supplement the chapter on elimination methods with a section dealing with the solution of large sparse systems of linear equations. Even though such systems are usually solved by iterative methods, the realm of elimination methods has been widely extended due to powerful techniques for handling sparse matrices. We will explain some of these techniques in connection with the Cholesky algorithm for solving positive definite linear systems. The chapter on eigenvalue problems was enlarged by a section on the Lanczos algorithm; the sections on the LR and QR algorithm were rewritten and now contain a description of implicit shift techniques. In order to some extent take into account the progress in the area of ordinary differential equations, a new section on implicit differential equa tions and differential-algebraic systems was added, and the section on stiff differential equations was updated by describing further methods to solve such equations.




Numerical Algorithms


Book Description

Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic desig




An Introduction to Mathematical Taxonomy


Book Description

Students of mathematical biology discover modern methods of taxonomy with this text, which introduces taxonomic characters, the measurement of similarity, and the analysis of principal components. Other topics include multidimensional scaling, cluster analysis, identification and assignment techniques, more. A familiarity with matrix algebra and elementary statistics are the sole prerequisites.




Introduction to the Numerical Modeling of Groundwater and Geothermal Systems


Book Description

This book provides an introduction to the scientific fundamentals of groundwater and geothermal systems. In a simple and didactic manner the different water and energy problems existing in deformable porous rocks are explained as well as the corresponding theories and the mathematical and numerical tools that lead to modeling and solving them. This approach provides the reader with a thorough understanding of the basic physical laws of thermoporoelastic rocks, the partial differential equations representing these laws and the principal numerical methods, which allow finding approximate solutions of the corresponding mathematical models. The book also presents the form in which specific useful models can be generated and solved. The text is introductory in the sense that it explains basic themes of the systems mentioned in three areas: engineering, physics and mathematics. All the laws and equations introduced in this book are formulated carefully based on fundamental physical principles. This way, the reader will understand the key importance of mathematics applied to all the subjects. Simple models are emphasized and solved with numerous examples. For more sophisticated and advanced models the numerical techniques are described and developed carefully. This book will serve as a synoptic compendium of the fundamentals of fluid, solute and heat transport, applicable to all types of subsurface systems, ranging from shallow aquifers down to deep geothermal reservoirs. The book will prove to be a useful textbook to senior undergraduate and graduate students, postgraduates, professional geologists and geophysicists, engineers, mathematicians and others working in the vital areas of groundwater and geothermal resources.




The Ecology of Regulated Streams


Book Description

The idea for an international symposium on regulated streams was conceived over an open-faced sandwich at the R&dhus in Copenhagen when we attended the Congress of the Societas Internationalis Lim nologiae in summer 1977. Although· we were aware that various col leagues were working on ecological problems in reservoir tailwaters, we did not fully comprehend the magnitude of worldwide stream regu lation nor the extent of interest in the subject. Such revelations are reflected in the 21 papers included in this book. The authors have summarized current understanding of the ecology of regulated streams and attempted to convey the importance and direction of future scientific investigations in stream ecosystems altered by upstream impoundments. The First International Symposium on Regulated Streams was the plenary event at the 27th annual meeting of the North American Benthological Society, April 18-20, 1979, in Erie, Pennsylvania. More than 500 colleagues attended. We gratefully acknowledge the support granted by the National Science Foundation; these funds permitted intellectual exchange between scientists from eight coun tries on four continents. We extend personal thanks to Dr. K. W. Stewart, President of NABS, and the NABS Program Committee, including Drs. E. C. Masteller, E. R. Brezina, and W. P. Kovalak. These individuals and other officers and members of the Executive Committee assisted us with the many details leading to organization and staging of a scientific forum. Discussions with Dr. John Cairns, Jr. and Dr. G. Richard Marzolf during the early planning stage were most helpful.