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Nonlinear dynamics and chaos in hydrology

Sivakumar, Bellie and Berndtsson, Ronny LU orcid (2010) p.411-461
Abstract

During the last two decades, applications of nonlinear dynamic and chaos theories to hydrologic systems and processes have been on the rise. Early applications of these theories focused mainly on the investigation and prediction of chaos in rainfall and river flow dynamics. Subsequent years witnessed their applications for other purposes (e.g. data disaggregation, missing data estimation, reconstruction of system equations) and to other processes (e.g. rainfall-runoff, sediment transport). More recently, additional inroads have been made through their applications to the problems of scaling, groundwater contamination, parameter estimation, and catchment classification. The outcomes of these studies are certainly encouraging, especially... (More)

During the last two decades, applications of nonlinear dynamic and chaos theories to hydrologic systems and processes have been on the rise. Early applications of these theories focused mainly on the investigation and prediction of chaos in rainfall and river flow dynamics. Subsequent years witnessed their applications for other purposes (e.g. data disaggregation, missing data estimation, reconstruction of system equations) and to other processes (e.g. rainfall-runoff, sediment transport). More recently, additional inroads have been made through their applications to the problems of scaling, groundwater contamination, parameter estimation, and catchment classification. The outcomes of these studies are certainly encouraging, especially considering the exploratory stage of the concepts in hydrologic sciences. The objectives of this chapter are: (1) to provide a comprehensive review of the applications of nonlinear dynamic and chaos theories in hydrology; and (2) to discuss the hope and scope for the future and also the challenges that lie ahead. In regards to the challenges, particular emphasis is given to discussing the need to improve our understanding of these largely less-understood concepts and to find appropriate ways for integrating them with other concepts that are already in existence or emerging. With the clear recognition that none of the existing one-sided ‘extreme-view’ modeling approaches is capable of solving the hydrologic problems, an urgent call for a balanced ‘middle-ground’ approach that can integrate different methods is also made.

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Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
Advances in Data-Based Approaches for Hydrologic Modeling and Forecasting
pages
51 pages
publisher
World Scientific Publishing
external identifiers
  • scopus:84969703285
ISBN
9814307971
9789814307970
9789814307987
DOI
10.1142/9789814307987_0009
language
English
LU publication?
yes
additional info
Publisher Copyright: © 2010 by World Scientific Publishing Co. Pte. Ltd. All rights reserved.
id
d92ce239-47c8-4438-ba2c-52026a4f50f9
date added to LUP
2022-11-11 14:16:59
date last changed
2024-01-03 20:41:00
@inbook{d92ce239-47c8-4438-ba2c-52026a4f50f9,
  abstract     = {{<p>During the last two decades, applications of nonlinear dynamic and chaos theories to hydrologic systems and processes have been on the rise. Early applications of these theories focused mainly on the investigation and prediction of chaos in rainfall and river flow dynamics. Subsequent years witnessed their applications for other purposes (e.g. data disaggregation, missing data estimation, reconstruction of system equations) and to other processes (e.g. rainfall-runoff, sediment transport). More recently, additional inroads have been made through their applications to the problems of scaling, groundwater contamination, parameter estimation, and catchment classification. The outcomes of these studies are certainly encouraging, especially considering the exploratory stage of the concepts in hydrologic sciences. The objectives of this chapter are: (1) to provide a comprehensive review of the applications of nonlinear dynamic and chaos theories in hydrology; and (2) to discuss the hope and scope for the future and also the challenges that lie ahead. In regards to the challenges, particular emphasis is given to discussing the need to improve our understanding of these largely less-understood concepts and to find appropriate ways for integrating them with other concepts that are already in existence or emerging. With the clear recognition that none of the existing one-sided ‘extreme-view’ modeling approaches is capable of solving the hydrologic problems, an urgent call for a balanced ‘middle-ground’ approach that can integrate different methods is also made.</p>}},
  author       = {{Sivakumar, Bellie and Berndtsson, Ronny}},
  booktitle    = {{Advances in Data-Based Approaches for Hydrologic Modeling and Forecasting}},
  isbn         = {{9814307971}},
  language     = {{eng}},
  month        = {{01}},
  pages        = {{411--461}},
  publisher    = {{World Scientific Publishing}},
  title        = {{Nonlinear dynamics and chaos in hydrology}},
  url          = {{http://dx.doi.org/10.1142/9789814307987_0009}},
  doi          = {{10.1142/9789814307987_0009}},
  year         = {{2010}},
}