Chaos in Hydrology Bridging Determinism and Stochasticity
This authoritative book presents a comprehensive account of the essential roles of nonlinear dynamic and chaos theories in understanding, modeling, and forecasting hydrologic systems. This is done through a systematic presentation of: (1) information on t
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Chaos in Hydrology Bridging Determinism and Stochasticity
Chaos in Hydrology
Bellie Sivakumar
Chaos in Hydrology Bridging Determinism and Stochasticity
123
Bellie Sivakumar School of Civil and Environmental Engineering The University of New South Wales Sydney, NSW Australia and Department of Land, Air and Water Resources University of California Davis, CA USA
ISBN 978-90-481-2551-7 DOI 10.1007/978-90-481-2552-4
ISBN 978-90-481-2552-4
(eBook)
Library of Congress Control Number: 2016946619 © Springer Science+Business Media Dordrecht 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Cover illustration: An aerial view of an Iceland river delta. © Justinreznick / Getty Images / iStock Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer Science+Business Media B.V. Dordrecht
To my parents, Sarojini and Bellie
Preface
It is possible that you have this book in your hands because of its intriguing name (Chaos) or simply by accident, but I hope that you will continue to read it for its contents and then also recommend it to others. In common parlance, the word ‘chaos,’ derived from the Ancient Greek word Χάος, typically means a state lacking order or predictability; in other words, chaos is synonymous to ‘randomness.’ In modern dynamic systems science literature, however, the term ‘chaos’ is used to refer to situations where complex and ‘random-looking’ behaviors arise from simple deterministic systems with sensitive dependence on initial conditions; therefore, chaos and randomness are quite different. This latter definition has important implications for system modeling and prediction: randomness is irreproducible and unpredictable, while chaos is reproducible and predictable in the short term (due to determinism) but irreproducible and unpredictable only in the long term (due to sensitivity to initial conditions). The three fundamental properties inherent in the above definition of chaos, namely (a) nonlin
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