Adobe PDF (13.14 MB)
Table of Contents - Adobe PDF (671.43 kB)
Title Details:
Stochastics of Hydroclimatic Extremes
Other Titles: A Cool Look at Risk
Authors: Koutsoyiannis, Demetris
Subject: MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > PROBABILITY THEORY AND STOCHASTIC PROCESSES
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > PROBABILITY THEORY AND STOCHASTIC PROCESSES > STOCHASTIC PROCESSES
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > STATISTICS > INFERENCE FROM STOCHASTIC PROCESSES
NATURAL SCIENCES AND AGRICULTURAL SCIENCES > AGRICULTURAL SCIENCES > NATURAL RESOURCES, EARTH AND ENVIRONMENTAL SCIENCES > HYDROLOGY
NATURAL SCIENCES AND AGRICULTURAL SCIENCES > EARTH SCIENCES > CLIMATOLOGY
ENGINEERING AND TECHNOLOGY > TECHNOLOGICAL SCIENCES AND ENGINEERING > CONSTRUCTION TECHNOLOGY AND ENGINEERING
ENGINEERING AND TECHNOLOGY > TECHNOLOGICAL SCIENCES AND ENGINEERING > ENVIRONMENTAL TECHNOLOGY AND ENGINEERING > WATER RESOURCES MANAGEMENT
LAW AND SOCIAL SCIENCES > SOCIOLOGY > ENVIRONMENTAL INTERACTIONS > DISASTER STUDIES
Keywords:
Stochastic processes
Stochastic analysis of extremes
Extreme hydroclimaticphenomena
Hydroclimatology
Hydroclimatic design of infrastructure works
Description:
Abstract:
Much is said and written about hydroclimatic hazards: storms, floods, droughts. Such hazards have existed and will always exist, while the usual scaremongering on them is of little help to avoid them. Instead, what is needed is a cool look at risk, based on measurement data, using scientific methodology, and ultimately employing technology in the service of reducing hazards and their consequences. This is attempted in the book. Much of it is devoted to the theory of stochastics —the mathematical language for analysing extremes. Stochastics is a scientific area broader than statistics —according to the definition adopted in the book, statistics is part of stochastics. Another part is the theory of stochastic processes, in which time has a hypostasis that is typically absent in statistics. Thus, statistics is in relation to stochastic what statics are in relation to dynamics. The commonly used classical statistics (based on the assumption of independence) is a special case of stochastics and, as the book proves, is inappropriate for the subject. This does not mean that statistics are abandoned or underrepresented in the book. On the contrary, several new developments are presented —most notably the new tool of knowable moments, which have two relevant characteristics: they are closely connected to extremes and their estimation is unbiased in the framework of classical statistics or involves small (and determinable) bias in stochastic processes with dependence in time, whilst the bias in the estimation of classical statistical moments can be huge. The new theoretical analyses are supported by mathematical proofs, which, to improve readability, are contained in a number of appendices in each of the 10 main chapters of the book. Along with the development of the theory, the book is oriented to the application, which is supported by a variety of examples, usually standing out as parenthetical sections or Digressions, as well as by tabulations of mathematical formulae that are used for each task.
Linguistic Editors: Barouxis, Christos
Type: Undergraduate textbook
Creation Date: 2021
Item Details:
ISBN 978-618-85370-0-2
License: Αναφορά Δημιουργού - Μη Εμπορική Χρήση - Όχι Παράγωγα Έργα 4.0 Διεθνές (CC BY-NC-ND 4.0)
Handle http://hdl.handle.net/11419/6522
Bibliographic Citation: Koutsoyiannis, D. (2021). Stochastics of Hydroclimatic Extremes [Undergraduate textbook]. Kallipos, Open Academic Editions. http://hdl.handle.net/11419/6522
Language: English
Consists of:
1. An introduction by examples
2. Basic concepts of probability with focus on extreme events
3. Stochastic processes and quantification of change
4. Fundamental concepts of statistics and their adaptation to stochastic processes
5. Return period
6. Knowable moments and their relationship to extremes
7. Stochastic simulation of hydroclimatic processes
8. Rainfall extremes and ombrian modelling
9. Streamflow maxima and minima
10. Extremes of atmospheric processes
11. Technology for risk reduction
12. References
Publication Origin: Kallipos, Open Academic Editions
Brochure Download