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.
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1 Introduction to Statistical Hydrology |
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2 Preliminary Analysis of Hydrologic Data |
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3 Elementary Probability Theory |
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4 Discrete Random Variables: Probability Distributions and Their Applications in Hydrology |
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5 Continuous Random Variables: Probability Distributions and Their Applications in Hydrology |
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123 | (80) |
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6 Parameter and Quantile Estimation |
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203 | (48) |
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7 Statistical Hypothesis Testing |
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251 | (60) |
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8 At-Site Frequency Analysis of Hydrologic Variables |
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311 | (80) |
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Eber Jose de Andrade Pinto |
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9 Correlation and Regression |
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391 | (50) |
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10 Regional Frequency Analysis of Hydrologic Variables |
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441 | (56) |
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Eber Jose de Andrade Pinto |
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11 Introduction to Bayesian Analysis of Hydrologic Variables |
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497 | (40) |
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12 Introduction to Nonstationary Analysis and Modeling of Hydrologic Variables |
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537 | (42) |
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| Appendix 1 Mathematics: A Brief Review of Some Important Topics |
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| Appendix 2 Values for the Gamma Function Γ(t) |
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585 | (2) |
| Appendix 3 Χ1-α, ν Quantiles from Chi-Square Distribution, with ν Degrees of Freedom |
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587 | (4) |
| Appendix 4 t1-1-α, ν Quantiles from Student's t Distribution, with ν Degrees of Freedom |
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591 | (4) |
| Appendix 5 Snedecor's F Quantiles, with γ1=m (Degrees of Freedom of the Numerator) and γ2=n (Degrees of Freedom of the Denominator) |
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595 | (4) |
| Appendix 6 Annual Minimum 7-Day Mean Flows, in m3/s, (Q7) at 11 Gauging Stations in the Paraopeba River Basin, in Brazil |
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599 | (4) |
| Appendix 7 Annual Maximum Flows for 7 Gauging Stations in the Upper Paraopeba River Basin |
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| Appendix 8a Rainfall Rates (mm/h) Recorded at Rainfall Gauging Stations in the Serra dos Orgaos Region |
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607 | (12) |
| Appendix 8b L-Moments and L-Moment Ratios of Rainfall Rates (mm/h) Recorded at Rainfall Gauging Stations in the Serra dos Orgaos Region, Located in the State of Rio de Janeiro, Brazil |
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Appendix 9 Regional Data for Exercise 6 of
Chapter 10 |
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| Appendix 10 Data of 92 Rainfall Gauging Stations in the Upper Sao Francisco River Basin, in Southeastern Brazil, for Regional Frequency Analysis of Annual Maximum Daily Rainfall Depths |
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| Appendix 11 Solutions to Selected Examples in R |
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643 | (10) |
| Index |
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653 | |
Prof. Dr. Mauro da Cunha Naghettini: Civil Engineer, Federal University of Minas Gerais, Belo Horizonte, Brazil, 1977. MSc in Applied Hydrology, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland, 1979. PhD in Civil and Environmental Engineering, University of Colorado at Boulder, Boulder, USA, 1994. From 1979 to 1989: Engineering Hydrologist at CEMIG, the Minas Gerais State power company. From 1989 to 2014: Professor of Civil and Environmental Engineering at the Brazilian Federal University of Minas Gerais with teaching, research and management responsibilities. Retired in 2014.
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