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: 9330

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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: 8055

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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 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: 5703

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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.

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: 4846

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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 and Statistical Methods in Hydrology and Environmental Engineering: Stochastic and statistical modelling with groundwater and surface water applications

Author: Keith W. Hipel

Publisher: Kluwer Academic Pub

ISBN: 9780792327578

Category: Science

Page: 372

View: 4732

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World renowned scientists present valuable contributions to stochastic and statistical modelling of groundwater and surface water systems. The philosophy of probabilistic modelling in the hydrological sciences is put into proper perspective and the importance of stochastic differential equations in the environmental sciences is explained and illustrated. The new research ideas put forward in groundwater modelling will assist decision makers in tackling challenging problems such as controlling pollution of underground aquifers and obtaining adequate water supplies. Additionally, different types of stochastic models are used in modelling a range of interesting surface water problems. Other topics covered in this landmark volume include stochastic optimization, moment analysis, carbon dioxide modelling and rainfall prediction. Audience The book is of interest to researchers, teachers, students and practitioners who wish to be at the leading edge of stochastic and statistical modelling in the environmental sciences.

Modeling Hydrologic Change

Statistical Methods

Author: Richard H. McCuen

Publisher: CRC Press

ISBN: 1420032194

Category: Science

Page: 448

View: 4364

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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.

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: 6618

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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.

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: 2878

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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: 748

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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: 5773

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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.

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

ISBN: N.A

Category: Hydrology

Page: 51

View: 4823

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Hydrological cycle

Author: Igor Alekseevich Shiklomanov

Publisher: N.A

ISBN: 9781848264762

Category: Hydrologic cycle

Page: N.A

View: 1768

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Floods in a Changing Climate

Hydrologic Modeling

Author: P. P. Mujumdar,D. Nagesh Kumar

Publisher: Cambridge University Press

ISBN: 1107018765

Category: Science

Page: 177

View: 3876

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Provides unique synthesis of various modeling methodologies used to aid planning and operational decision making, for academic researchers and professionals.

Statistik für Dummies

Author: Deborah J. Rumsey

Publisher: John Wiley & Sons

ISBN: 3527692762

Category: Education

Page: 355

View: 850

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Statistik ist ganz sicher kein beliebtes, aber ein notwendiges und auch nï¿1⁄2tzliches Thema. Deborah Rumsey erklï¿1⁄2rt Ihnen in diesem Buch die notwendigen Grundbegriffe, erlï¿1⁄2utert die wichtigsten statistischen Konzepte und schafft einen Bezug zwischen Theorie und Praxis. Dabei kommt Sie fast ohne Formeln aus. Sie lernen die verschiedenen grafischen Darstellungsmï¿1⁄2glichkeiten von statistischem Material kennen und erfahren, wie Sie Ihre Ergebnisse richtig auswerten. Egal ob Mittelwert, Bias, Standardabweichung oder Konfidenzintervall, schon bald kann Ihnen keiner mehr etwas vormachen.