Trends, Shifting, or Oscillations? Stochastic Modeling of Nonstationary Time Series for Future Water‐Related Risk Management

Abstract Hydrological time series often present nonstationarities such as trends, shifts, or oscillations due to anthropogenic effects and hydroclimatological variations, including global climate change. For water managers, it is crucial to recognize and define the nonstationarities in hydrological...

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Main Authors: Taesam Lee, Taha B. M. J. Ouarda
Format: Article
Language:English
Published: Wiley 2023-07-01
Series:Earth's Future
Subjects:
Online Access:https://doi.org/10.1029/2022EF003049
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author Taesam Lee
Taha B. M. J. Ouarda
author_facet Taesam Lee
Taha B. M. J. Ouarda
author_sort Taesam Lee
collection DOAJ
description Abstract Hydrological time series often present nonstationarities such as trends, shifts, or oscillations due to anthropogenic effects and hydroclimatological variations, including global climate change. For water managers, it is crucial to recognize and define the nonstationarities in hydrological records. The nonstationarities must be appropriately modeled and stochastically simulated according to the characteristics of observed records to evaluate the adequacy of flood risk mitigation measures and future water resources management strategies. Therefore, in the current study, three approaches were suggested to address stochastically nonstationary behaviors, especially in the long‐term variability of hydrological variables: as an overall trend, shifting mean, or as a long‐term oscillation. To represent these options for hydrological variables, the autoregressive model with an overall trend, shifting mean level (SML), and empirical mode decomposition with nonstationary oscillation resampling (EMD‐NSOR) were employed in the hydrological series of the net basin supply in the Lake Champlain‐River Richelieu basin, where the International Joint Committee recently managed and significant flood damage from long consistent high flows occurred. The detailed results indicate that the EMD‐NSOR model can be an appropriate option by reproducing long‐term dependence statistics and generating manageable scenarios, while the SML model does not properly reproduce the observed long‐term dependence, that are critical to simulate sustainable flood events. The trend model produces too many risks for floods in the future but no risk for droughts. The overall results conclude that the nonstationarities in hydrological series should be carefully handled in stochastic simulation models to appropriately manage future water‐related risks.
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spelling doaj.art-482f852025644f7cb67f2aa6ccc6c4da2023-07-27T19:18:31ZengWileyEarth's Future2328-42772023-07-01117n/an/a10.1029/2022EF003049Trends, Shifting, or Oscillations? Stochastic Modeling of Nonstationary Time Series for Future Water‐Related Risk ManagementTaesam Lee0Taha B. M. J. Ouarda1Department of Civil Engineering Gyeongsang National University 52828 Jinju501 Jinju‐daero South KoreaCanada Research Chair in Statistical Hydro‐Climatology Institut national de la recherche scientifique, Centre Eau Terre G1K 9A9 QC Quebec490 de la Couronne CanadaAbstract Hydrological time series often present nonstationarities such as trends, shifts, or oscillations due to anthropogenic effects and hydroclimatological variations, including global climate change. For water managers, it is crucial to recognize and define the nonstationarities in hydrological records. The nonstationarities must be appropriately modeled and stochastically simulated according to the characteristics of observed records to evaluate the adequacy of flood risk mitigation measures and future water resources management strategies. Therefore, in the current study, three approaches were suggested to address stochastically nonstationary behaviors, especially in the long‐term variability of hydrological variables: as an overall trend, shifting mean, or as a long‐term oscillation. To represent these options for hydrological variables, the autoregressive model with an overall trend, shifting mean level (SML), and empirical mode decomposition with nonstationary oscillation resampling (EMD‐NSOR) were employed in the hydrological series of the net basin supply in the Lake Champlain‐River Richelieu basin, where the International Joint Committee recently managed and significant flood damage from long consistent high flows occurred. The detailed results indicate that the EMD‐NSOR model can be an appropriate option by reproducing long‐term dependence statistics and generating manageable scenarios, while the SML model does not properly reproduce the observed long‐term dependence, that are critical to simulate sustainable flood events. The trend model produces too many risks for floods in the future but no risk for droughts. The overall results conclude that the nonstationarities in hydrological series should be carefully handled in stochastic simulation models to appropriately manage future water‐related risks.https://doi.org/10.1029/2022EF003049stochastic simulationnonstationarytrendshifting meanoscillationwater resources
spellingShingle Taesam Lee
Taha B. M. J. Ouarda
Trends, Shifting, or Oscillations? Stochastic Modeling of Nonstationary Time Series for Future Water‐Related Risk Management
Earth's Future
stochastic simulation
nonstationary
trend
shifting mean
oscillation
water resources
title Trends, Shifting, or Oscillations? Stochastic Modeling of Nonstationary Time Series for Future Water‐Related Risk Management
title_full Trends, Shifting, or Oscillations? Stochastic Modeling of Nonstationary Time Series for Future Water‐Related Risk Management
title_fullStr Trends, Shifting, or Oscillations? Stochastic Modeling of Nonstationary Time Series for Future Water‐Related Risk Management
title_full_unstemmed Trends, Shifting, or Oscillations? Stochastic Modeling of Nonstationary Time Series for Future Water‐Related Risk Management
title_short Trends, Shifting, or Oscillations? Stochastic Modeling of Nonstationary Time Series for Future Water‐Related Risk Management
title_sort trends shifting or oscillations stochastic modeling of nonstationary time series for future water related risk management
topic stochastic simulation
nonstationary
trend
shifting mean
oscillation
water resources
url https://doi.org/10.1029/2022EF003049
work_keys_str_mv AT taesamlee trendsshiftingoroscillationsstochasticmodelingofnonstationarytimeseriesforfuturewaterrelatedriskmanagement
AT tahabmjouarda trendsshiftingoroscillationsstochasticmodelingofnonstationarytimeseriesforfuturewaterrelatedriskmanagement