Understanding Mathematical and Statistical Techniques in Hydrology

An Examples-based Approach

Author: Harvey J. E. Rodda,Max A. Little

Publisher: John Wiley & Sons

ISBN: 1119076609

Category: Technology & Engineering

Page: 104

View: 5890

Pick up any hydrology textbook and it will not be long before you encounter pages listing sequences of equations representing complex mathematical concepts. Students and practitioners of hydrology will not find this very helpful, as their aim, generally, is to study and understand hydrology, and not to find themselves confronted with material that even students of mathematics would find challenging. Often, equations appear to be copied and pasted into hydrological texts in an attempt to give a more rigorous scientific basis to the narrative. However, they are commonly wrong, poorly explained, without context or background, and more likely to confuse and distance the reader than to enlighten and engage them in the topic. Understanding Mathematical and Statistical Techniques in Hydrology provides full and detailed expositions of such equations and mathematical concepts, commonly used in hydrology. In contrast to other hydrological texts, instead of presenting abstract mathematical hydrology, the essential mathematics is explained with the help of real-world hydrological examples.

Statistical Methods in Hydrology and Hydroclimatology

Author: Rajib Maity

Publisher: Springer

ISBN: 9811087792

Category: Science

Page: 444

View: 5233

This book focuses on the application of statistical methods in the field of hydrology and hydroclimatology. Among the latest theories being used in these fields, the book introduces the theory of copulas and its applications in this context. The purpose is to develop an understanding and illustrate the usefulness of the statistical techniques with detailed theory and numerous worked out examples. Apart from this, MATLAB-based codes and solutions of some worked out examples are also provided to assist the readers to handle real life data. This book presents a comprehensive knowledge of statistical techniques combining the basics of probability and the current advances in stochastic hydrology. Besides serving as a textbook for graduate courses on stochastic modeling in hydrology and related disciplines, the book offers valuable resources for researchers and professionals involved in the field of hydrology and climatology.

Stochastic and Statistical Methods in Hydrology and Environmental Engineering

Volume 2: Stochastic and Statistical Modelling with Groundwater and Surface Water Applications

Author: Keith W. Hipel

Publisher: Springer Science & Business Media

ISBN: 9401110727

Category: Science

Page: 372

View: 9644

Objectives The current global environmental crisis has reinforced the need for developing flexible mathematical models to obtain a better understanding of environmental problems so that effective remedial action can be taken. Because natural phenomena occurring in hydrology and environmental engineering usually behave in random and probabilistic fashions, stochastic and statistical models have major roles to play in the protection and restoration of our natural environment. Consequently, the main objective of this edited volume is to present some of the most up-to-date and promising approaches to stochastic and statistical modelling, especially with respect to groundwater and surface water applications. Contents As shown in the Table of Contents, the book is subdivided into the following main parts: GENERAL ISSUES PART I PART II GROUNDWATER PART III SURFACE WATER PART IV STOCHASTIC OPTIMIZATION PART V MOMENT ANALYSIS PART VI OTHER TOPICS Part I raises some thought-provoking issues about probabilistic modelling of hydro logical and environmental systems. The first two papers in Part I are, in fact, keynote papers delivered at an international environmetrics conference held at the University of Waterloo in June, 1993, in honour of Professor T. E. Unny. In his keynote pa per, Dr. S. J. Burges of the University of Washington places into perspective the historical and future roles of stochastic modelling in hydrology and environmental engineering. Additionally, Dr. Burges stresses the need for developing a sound scien tific basis for the field of hydrology. Professor P. E.

Stochastic Methods in Hydrology

Rain, Landforms, and Floods : CIMAT, Guanajuato, Mexico, March 25-28, 1996

Author: Ole E. Barndorff-Nielsen

Publisher: World Scientific

ISBN: 9789810233679

Category: Science

Page: 207

View: 2437

This book communicates some contemporary mathematical and statistical developments in river basin hydrology as they pertain to space-time rainfall, spatial landform and network structures and their role in understanding averages and fluctuations in the hydrologic water balance of river basins. While many of the mathematical and statistical nations have quite classical mathematical roots, the river basin data structure has led to many variations on the problems and theory.

Modeling Hydrologic Change

Statistical Methods

Author: Richard H. McCuen

Publisher: CRC Press

ISBN: 1420032194

Category: Science

Page: 448

View: 4643

Modeling hydrologic changes and predicting their impact on watersheds is a dominant concern for hydrologists and other water resource professionals, civil and environmental engineers, and urban and regional planners. As such changes continue, it becomes more essential to have the most up-to-date tools with which to perform the proper analyses and modeling of the complex ecology, morphology, and physical processes that occur within watersheds. An application-oriented text, Modeling Hydrologic Change: Statistical Methods provides a step-by-step presentation of modeling procedures to help you properly analyze and model real-world data. The text addresses modeling systems where change has affected data that will be used to calibrate and test models of the system. The use of actual hydrologic data will help you learn how to handle the vagaries of real-world hydrologic-change data. All four elements of the modeling process are discussed: conceptualization, formulation, calibration, and verification. Although the book is oriented towards the statistical aspects of modeling, a strong background in statistics is not required. The statistical and modeling methods discussed here will be of value to all disciplines involved in modeling change. With approximately 100 illustrations, Modeling Hydrologic Change will equip you with an understanding with which to perform the proper analyses and modeling of the complex processes that occur across various disciplines.


Author: Andrew C. Harvey

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 3486786741

Category: Business & Economics

Page: 396

View: 3090

Gegenstand des Werkes sind Analyse und Modellierung von Zeitreihen. Es wendet sich an Studierende und Praktiker aller Disziplinen, in denen Zeitreihenbeobachtungen wichtig sind.

Statistical Data Analysis Explained

Applied Environmental Statistics with R

Author: Clemens Reimann,Peter Filzmoser,Robert Garrett,Rudolf Dutter

Publisher: John Wiley & Sons

ISBN: 1119965284

Category: Science

Page: 362

View: 4004

Few books on statistical data analysis in the natural sciences are written at a level that a non-statistician will easily understand. This is a book written in colloquial language, avoiding mathematical formulae as much as possible, trying to explain statistical methods using examples and graphics instead. To use the book efficiently, readers should have some computer experience. The book starts with the simplest of statistical concepts and carries readers forward to a deeper and more extensive understanding of the use of statistics in environmental sciences. The book concerns the application of statistical and other computer methods to the management, analysis and display of spatial data. These data are characterised by including locations (geographic coordinates), which leads to the necessity of using maps to display the data and the results of the statistical methods. Although the book uses examples from applied geochemistry, and a large geochemical survey in particular, the principles and ideas equally well apply to other natural sciences, e.g., environmental sciences, pedology, hydrology, geography, forestry, ecology, and health sciences/epidemiology. The book is unique because it supplies direct access to software solutions (based on R, the Open Source version of the S-language for statistics) for applied environmental statistics. For all graphics and tables presented in the book, the R-scripts are provided in the form of executable R-scripts. In addition, a graphical user interface for R, called DAS+R, was developed for convenient, fast and interactive data analysis. Statistical Data Analysis Explained: Applied Environmental Statistics with R provides, on an accompanying website, the software to undertake all the procedures discussed, and the data employed for their description in the book.

Hydrology and Hydroclimatology

Principles and Applications

Author: M. Karamouz,S. Nazif,M. Falahi

Publisher: CRC Press

ISBN: 1466512202

Category: Science

Page: 740

View: 3639

This book presents a systematic approach to understanding and applying the principles of hydrology and hydroclimatology, examining the interactions among different components of the water cycle. It takes a fresh look at the fundamentals and challenges in hydrologic and hydroclimatic systems as well as climate change. The author describes the application of nontraditional data sets and new investigation techniques to water-related problems. He also examines long lead forecasting and simulation, time series analysis, and risk and uncertainty in hydrologic design.

Statistical Methods for Trend Detection and Analysis in the Environmental Sciences

Author: Richard Chandler,Marian Scott

Publisher: John Wiley & Sons

ISBN: 111999196X

Category: Mathematics

Page: 388

View: 8509

The need to understand and quantify change is fundamental throughout the environmental sciences. This might involve describing past variation, understanding the mechanisms underlying observed changes, making projections of possible future change, or monitoring the effect of intervening in some environmental system. This book provides an overview of modern statistical techniques that may be relevant in problems of this nature. Practitioners studying environmental change will be familiar with many classical statistical procedures for the detection and estimation of trends. However, the ever increasing capacity to collect and process vast amounts of environmental information has led to growing awareness that such procedures are limited in the insights that they can deliver. At the same time, significant developments in statistical methodology have often been widely dispersed in the statistical literature and have therefore received limited exposure in the environmental science community. This book aims to provide a thorough but accessible review of these developments. It is split into two parts: the first provides an introduction to this area and the second part presents a collection of case studies illustrating the practical application of modern statistical approaches to the analysis of trends in real studies. Key Features: Presents a thorough introduction to the practical application and methodology of trend analysis in environmental science. Explores non-parametric estimation and testing as well as parametric techniques. Methods are illustrated using case studies from a variety of environmental application areas. Looks at trends in all aspects of a process including mean, percentiles and extremes. Supported by an accompanying website featuring datasets and R code. The book is designed to be accessible to readers with some basic statistical training, but also contains sufficient detail to serve as a reference for practising statisticians. It will therefore be of use to postgraduate students and researchers both in the environmental sciences and in statistics.

Long-Memory Processes

Probabilistic Properties and Statistical Methods

Author: Jan Beran,Yuanhua Feng,Sucharita Ghosh,Rafal Kulik

Publisher: Springer Science & Business Media

ISBN: 3642355129

Category: Mathematics

Page: 884

View: 9677

Long-memory processes are known to play an important part in many areas of science and technology, including physics, geophysics, hydrology, telecommunications, economics, finance, climatology, and network engineering. In the last 20 years enormous progress has been made in understanding the probabilistic foundations and statistical principles of such processes. This book provides a timely and comprehensive review, including a thorough discussion of mathematical and probabilistic foundations and statistical methods, emphasizing their practical motivation and mathematical justification. Proofs of the main theorems are provided and data examples illustrate practical aspects. This book will be a valuable resource for researchers and graduate students in statistics, mathematics, econometrics and other quantitative areas, as well as for practitioners and applied researchers who need to analyze data in which long memory, power laws, self-similar scaling or fractal properties are relevant.

Probability and statistics in hydrology

Author: Vujica M. Yevjevich

Publisher: Water Resources Pubns


Category: Science

Page: 302

View: 1684

Characteristics of hidrologic phenomena; Random variables and their distributions; Various probability topics applied to hydrology; Statistics and hydrology; Empirical distributions of hydrologic variables; Parameters and order-statistics as descriptors of distributions; Probability distribution functions in hydrology; Estimation methods; Sampling Theory; Testing hypotheses and goodness of fit; Correlation and regression; Multivariate analysis.

U.S. Programs in Research Drainage Basins

An Interim Assessment

Author: U.S. National Committee for the International Hydrological Decade. Work Group on Representative and Experimental Basins

Publisher: National Academies


Category: Hydrology

Page: 51

View: 9407


Hydrological Drought

Processes and Estimation Methods for Streamflow and Groundwater

Author: Lena M. Tallaksen,Henny A. J. van Lanen

Publisher: Gulf Professional Publishing

ISBN: 9780444516886

Category: Science

Page: 579

View: 6450

Hydrological drought is a textbook for university students, practising hydrologists and researchers. The main scope of this book is to provide the reader with a comprehensive review of processes and estimation methods for streamflow and groundwater drought. It includes a qualitative conceptual understanding of drought features and processes, a detailed presentation of estimation methods and tools, practical examples and key aspects of operational practice. The methods are demonstrated using sample data sets and tools that are provided on the accompanying CD. The drought phenomenon and its diversity across the world are illustrated using a global set of daily streamflow series, whereas regional and local aspects of drought are studied using a combination of hydrological time series and catchment information. The book concludes with human impacts, ecological issues and examples of procedures for designing and operating water resources schemes. The majority of the examples are taken from regions where the rivers run most of the year. The material presented ranges from well established knowledge and analysing methods to recent developments in drought research. Its nature varies accordingly, from a more traditional textbook with its clear overview to that of a research paper, which introduces new approaches and methodologies for drought analysis. Also available in paperback, ISBN 0-444-51767-7.


Principles and Practice

Author: Kevin M. Hiscock

Publisher: John Wiley & Sons

ISBN: 1405144505

Category: Science

Page: 408

View: 4271

Hydrogeology: Principles and Practice provides a comprehensiveintroduction to the study of hydrogeology and the significance ofgroundwater in the terrestrial aquatic environment. Earlier chapters explain the fundamental physical and chemicalprinciples of hydrogeology, and later chapters feature groundwaterinvestigation techniques and contaminant hydrogeology. A uniquefeature of the book is a chapter on the application ofenvironmental isotopes and noble gases in the interpretation ofaquifer evolution. The last chapter discusses groundwater resourcesand environmental management, and examines the role of groundwaterin integrated river basin management, including the possibleimpacts of climate change. Throughout the text, boxes are used to explain special topics andto illustrate international case studies. The appendices provideuseful reference material and include review questions andexercises to develop the reader's knowledge and problem-solvingskills in hydrogeology. This accessible textbook is essential reading for undergraduate andgraduate students in earth and environmental sciences taking acourse in hydrogeology or groundwater science. An Instructor manual CD-ROM for this title is available. Pleasecontact our Higher Education team at ahref="mailto:[email protected]"[email protected]/afor more information.


Author: Willi Gujer

Publisher: Springer-Verlag

ISBN: 3662129914

Category: Science

Page: 411

View: 5071

Die Siedlungswasserwirtschaft ist eine Disziplin, die zunehmend multidisziplinärer wird. Das aktuelle Lehrbuch "Siedlungswasserwirtschaft" behandelt systematisch und kompakt die ganze Breite dieses Arbeitsgebietes für das Bau- und Umweltingenieurwesen. - Konzepte, Methoden und Modelle, die für eine vertiefte praxisorientierte Ausbildung unverzichtbar sind - Grundlagenkenntnisse, ganzheitliche Problemlösungen und neueste Trends für die Praxis - Didaktisch ausgefeilt, gut lesbar, mit zahlreichen Beispielen und Abbildungen Die beiliegende CD-ROM enthält umfangreiches Material wie Übungen, Vorlesungsunterlagen und farbige Folien, die im Unterricht und bei der Prüfungsvorbereitung helfen. Das Lehrbuch ergänzt optimal die Vorlesung an Fachhochschulen und Technischen Universitäten. Auch wer sich in der Praxis up-to-date halten und aktuelle Fragen schnell nachschlagen möchte, findet hier die ideale Unterstützung. Aus den Beurteilungen: "Das Bestechende an diesem Buch ist die klare Linie, die Darstellung des Wesentlichen und der Zusammenhänge. Es ist ein Lehrbuch im besten Sinne und es ist auch ein Buch für Lehrer. ...äußerst empfehlenswert für alle, die mit Siedlungswasserwirtschaft oder Umwelttechnik zu tun haben." (Prof. R. Otterpohl in KA Korrespondenz Abwasser)