Fundamentals Of Statistical Hydrology

This textbook covers the main applications of statistical methods in hydrology. It is written for upper undergraduate and graduate students but can be used as a helpful guide for hydrologists, geographers, meteorologists and engineers. The book is very useful for teaching, as it covers the main topics of the subject and contains many worked out examples and proposed exercises. Starting from simple notions of the essential graphical examination of hydrological data, the book gives a complete account of the role that probability considerations must play during modelling, diagnosis of model fit, prediction and evaluating the uncertainty in model predictions, including the essence of Bayesian application in hydrology and statistical methods under nonstationarity. The book also offers a comprehensive and useful discussion on subjective topics, such as the selection of probability distributions suitable for hydrological variables. On a practical level, it explains MS Excel charting and computing capabilities, demonstrates the use of Winbugs free software to solve Monte Carlo Markov Chain (MCMC) simulations, and gives examples of free R code to solve nonstationary models with nonlinear link functions with climate covariates.

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.

This classic text and reference has been totally revised, redesigned, and comprehensively updated for the new millennium and beyond—bound in a new, revamped hardcover version. Inside, the reader will find improved coverage of time series analysis by the addition of a treatment of IRIMA models, improved coverage of regression with the addition of consideration of multicollinarity and correlated errors, increased material on Bayesian statistics, and a major section on the use of statistics in hydrologic and water quality modeling; which includes sensitivity analysis, Monte Carlo simulation, First Order Analysis, uncertainty analysis, parameter estimation for models, and calibration and verification of models. A greater emphasis, in this new edition, has been on the use of computers in statistical analysis without the dependence on any one particular software vendor. The reader of this new edition will also notice improved coverage on plotting and graphical analysis and some added coverage of nonparametric terms applicable in hydrology. Exercises follow nearly every chapter for increased retention and learning.

This book provides a compilation of statistical analysis methods used to analyze and assess critical variables in the hydrological cycle.

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.