How one might miss early warning signals of critical transitions in time series data: A systematic study of two major currency pairs

There is growing interest in the use of critical slowing down and critical fluctuations as early warning signals for critical transitions in different complex systems. However, while some studies found them effective, others found the opposite. In this paper, we investigated why this might be so, by...

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Main Authors: Wen, Haoyu, Cheong, Siew Ann, Pica Ciamarra, Massimo
Other Authors: Hernandez-Lemus, Enrique
Format: Journal Article
Language:English
Published: 2018
Subjects:
Online Access:https://hdl.handle.net/10356/89339
http://hdl.handle.net/10220/44869
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author Wen, Haoyu
Cheong, Siew Ann
Pica Ciamarra, Massimo
author2 Hernandez-Lemus, Enrique
author_facet Hernandez-Lemus, Enrique
Wen, Haoyu
Cheong, Siew Ann
Pica Ciamarra, Massimo
author_sort Wen, Haoyu
collection NTU
description There is growing interest in the use of critical slowing down and critical fluctuations as early warning signals for critical transitions in different complex systems. However, while some studies found them effective, others found the opposite. In this paper, we investigated why this might be so, by testing three commonly used indicators: lag-1 autocorrelation, variance, and low-frequency power spectrum at anticipating critical transitions in the very-high-frequency time series data of the Australian Dollar-Japanese Yen and Swiss Franc-Japanese Yen exchange rates. Besides testing rising trends in these indicators at a strict level of confidence using the Kendall-tau test, we also required statistically significant early warning signals to be concurrent in the three indicators, which must rise to appreciable values. We then found for our data set the optimum parameters for discovering critical transitions, and showed that the set of critical transitions found is generally insensitive to variations in the parameters. Suspecting that negative results in the literature are the results of low data frequencies, we created time series with time intervals over three orders of magnitude from the raw data, and tested them for early warning signals. Early warning signals can be reliably found only if the time interval of the data is shorter than the time scale of critical transitions in our complex system of interest. Finally, we compared the set of time windows with statistically significant early warning signals with the set of time windows followed by large movements, to conclude that the early warning signals indeed provide reliable information on impending critical transitions. This reliability becomes more compelling statistically the more events we test.
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spelling ntu-10356/893392023-02-28T19:36:14Z How one might miss early warning signals of critical transitions in time series data: A systematic study of two major currency pairs Wen, Haoyu Cheong, Siew Ann Pica Ciamarra, Massimo Hernandez-Lemus, Enrique School of Physical and Mathematical Sciences Complexity Institute Early Warning Signals Critical Transitions There is growing interest in the use of critical slowing down and critical fluctuations as early warning signals for critical transitions in different complex systems. However, while some studies found them effective, others found the opposite. In this paper, we investigated why this might be so, by testing three commonly used indicators: lag-1 autocorrelation, variance, and low-frequency power spectrum at anticipating critical transitions in the very-high-frequency time series data of the Australian Dollar-Japanese Yen and Swiss Franc-Japanese Yen exchange rates. Besides testing rising trends in these indicators at a strict level of confidence using the Kendall-tau test, we also required statistically significant early warning signals to be concurrent in the three indicators, which must rise to appreciable values. We then found for our data set the optimum parameters for discovering critical transitions, and showed that the set of critical transitions found is generally insensitive to variations in the parameters. Suspecting that negative results in the literature are the results of low data frequencies, we created time series with time intervals over three orders of magnitude from the raw data, and tested them for early warning signals. Early warning signals can be reliably found only if the time interval of the data is shorter than the time scale of critical transitions in our complex system of interest. Finally, we compared the set of time windows with statistically significant early warning signals with the set of time windows followed by large movements, to conclude that the early warning signals indeed provide reliable information on impending critical transitions. This reliability becomes more compelling statistically the more events we test. Published version 2018-05-23T04:32:07Z 2019-12-06T17:23:17Z 2018-05-23T04:32:07Z 2019-12-06T17:23:17Z 2018 Journal Article Wen, H., Pica Ciamarra, M., & Cheong, S. A. (2018). How one might miss early warning signals of critical transitions in time series data: A systematic study of two major currency pairs. PLOS ONE, 13(3), e0191439-. https://hdl.handle.net/10356/89339 http://hdl.handle.net/10220/44869 10.1371/journal.pone.0191439 en PLOS ONE © 2018 Wen et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. 22 p. application/pdf
spellingShingle Early Warning Signals
Critical Transitions
Wen, Haoyu
Cheong, Siew Ann
Pica Ciamarra, Massimo
How one might miss early warning signals of critical transitions in time series data: A systematic study of two major currency pairs
title How one might miss early warning signals of critical transitions in time series data: A systematic study of two major currency pairs
title_full How one might miss early warning signals of critical transitions in time series data: A systematic study of two major currency pairs
title_fullStr How one might miss early warning signals of critical transitions in time series data: A systematic study of two major currency pairs
title_full_unstemmed How one might miss early warning signals of critical transitions in time series data: A systematic study of two major currency pairs
title_short How one might miss early warning signals of critical transitions in time series data: A systematic study of two major currency pairs
title_sort how one might miss early warning signals of critical transitions in time series data a systematic study of two major currency pairs
topic Early Warning Signals
Critical Transitions
url https://hdl.handle.net/10356/89339
http://hdl.handle.net/10220/44869
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