Evaluating Current Statistical and Dynamical Forecasting Techniques for Seasonal Coastal Sea Level Prediction

Xiaoyu Long CIRES, University of Colorado Boulder, Boulder, Colorado
NOAA/Physical Sciences Laboratory, Boulder, Colorado

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Matthew Newman NOAA/Physical Sciences Laboratory, Boulder, Colorado

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Sang-Ik Shin CIRES, University of Colorado Boulder, Boulder, Colorado
NOAA/Physical Sciences Laboratory, Boulder, Colorado

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Magdelena Balmeseda European Centre for Medium-Range Weather Forecasts, Reading, United Kingdom

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John Callahan NOAA/Center for Operational Oceanographic Products and Services, Silver Spring, Maryland
Ocean Associates, Inc., Arlington, Virginia

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Gregory Dusek NOAA/Center for Operational Oceanographic Products and Services, Silver Spring, Maryland

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Liwei Jia NOAA/Geophysical Fluid Dynamics Laboratory, Princeton, New Jersey

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Benjamin Kirtman Rosenstiel School of Marine, Atmospheric, and Earth Science, University of Miami, Miami, Florida

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John Krasting NOAA/Geophysical Fluid Dynamics Laboratory, Princeton, New Jersey

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Cameron C. Lee Department of Geography, ClimRISE Laboratory, Kent State University, Kent, Ohio

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Tong Lee Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California

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William Sweet NOAA/National Ocean Service, Silver Spring, Maryland

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Ou Wang Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California

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Yan Wang CIRES, University of Colorado Boulder, Boulder, Colorado
NOAA/Physical Sciences Laboratory, Boulder, Colorado

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Matthew J. Widlansky Cooperative Institute for Marine and Atmospheric Research, School of Ocean and Earth Science and Technology, University of Hawai‘i at Mānoa, Honolulu, Hawaii

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Abstract

The need for skillful seasonal prediction of coastal sea level anomalies (SLAs) has become increasingly evident as climate change has increased coastal flooding risks. Here, we evaluate nine current forecast systems by calculating deterministic and probabilistic skill from their retrospective forecasts (“hindcasts”) over 1995–2015, for lead times up to 6–9 months, at two U.S. tide gauge stations (Charleston, South Carolina, and San Diego, California). Additionally, we assess local skill enhancement by two postprocessing/downscaling techniques: an observation-based multivariate linear regression and a hybrid dynamical approach convolving sea level sensitivity to surface forcings with predicted surface forcing variations. All these approaches face challenges stemming from whether modeled SLAs sufficiently represent observed local coastal SLA variations because of ocean model limitations and inadequacies in model initialization and ensemble spread. Some of these issues also complicate the ability of the postprocessing techniques to improve probabilistic skill, even though they do somewhat improve deterministic skill. In general, deterministic hindcast skill is considerably higher for San Diego than Charleston, as expected from the stronger influence of El Niño–Southern Oscillation (ENSO). However, ensemble spread metrics such as forecast reliability and sharpness remain low for both locations, highlighting model deficiencies in representing uncertainty. Additionally, evaluating how well any technique predicts seasonal coastal sea level variations is complicated by the forced trend component, particularly how it is estimated. Moreover, model skill is matched by a stochastically forced multivariate linear prediction model constructed from observations, suggesting that substantial improvement remains for predicting coastal seasonal SLAs, which could also include leveraging other predicted fields, including sea level pressure and prevailing winds.

Significance Statement

Coastal floodings have occurred more frequently in the last few decades, and it is anticipated that the number of such hazardous events will increase. Therefore, accurate and reliable forecasting of coastal water level is becoming increasingly important. This study thoroughly evaluated some current forecast techniques for sea level at two pilot study locations on the U.S. Coast (Charleston, South Carolina, and San Diego, California) and found that those techniques are still not capable to produce usable forecasting of anomalous sea level 3 months in advance, due to model inadequacy. The current generation of forecasting models was not designed for coastal sea level prediction, and we propose a few potential improvements that can potentially advance our capability in coastal sea level and inundation forecasting in the near future.

© 2025 American Meteorological Society. This published article is licensed under the terms of the default AMS reuse license. For information regarding reuse of this content and general copyright information, consult the AMS Copyright Policy (www.ametsoc.org/PUBSReuseLicenses).

Corresponding author: Xiaoyu Long, xiaoyu.long@noaa.gov

Abstract

The need for skillful seasonal prediction of coastal sea level anomalies (SLAs) has become increasingly evident as climate change has increased coastal flooding risks. Here, we evaluate nine current forecast systems by calculating deterministic and probabilistic skill from their retrospective forecasts (“hindcasts”) over 1995–2015, for lead times up to 6–9 months, at two U.S. tide gauge stations (Charleston, South Carolina, and San Diego, California). Additionally, we assess local skill enhancement by two postprocessing/downscaling techniques: an observation-based multivariate linear regression and a hybrid dynamical approach convolving sea level sensitivity to surface forcings with predicted surface forcing variations. All these approaches face challenges stemming from whether modeled SLAs sufficiently represent observed local coastal SLA variations because of ocean model limitations and inadequacies in model initialization and ensemble spread. Some of these issues also complicate the ability of the postprocessing techniques to improve probabilistic skill, even though they do somewhat improve deterministic skill. In general, deterministic hindcast skill is considerably higher for San Diego than Charleston, as expected from the stronger influence of El Niño–Southern Oscillation (ENSO). However, ensemble spread metrics such as forecast reliability and sharpness remain low for both locations, highlighting model deficiencies in representing uncertainty. Additionally, evaluating how well any technique predicts seasonal coastal sea level variations is complicated by the forced trend component, particularly how it is estimated. Moreover, model skill is matched by a stochastically forced multivariate linear prediction model constructed from observations, suggesting that substantial improvement remains for predicting coastal seasonal SLAs, which could also include leveraging other predicted fields, including sea level pressure and prevailing winds.

Significance Statement

Coastal floodings have occurred more frequently in the last few decades, and it is anticipated that the number of such hazardous events will increase. Therefore, accurate and reliable forecasting of coastal water level is becoming increasingly important. This study thoroughly evaluated some current forecast techniques for sea level at two pilot study locations on the U.S. Coast (Charleston, South Carolina, and San Diego, California) and found that those techniques are still not capable to produce usable forecasting of anomalous sea level 3 months in advance, due to model inadequacy. The current generation of forecasting models was not designed for coastal sea level prediction, and we propose a few potential improvements that can potentially advance our capability in coastal sea level and inundation forecasting in the near future.

© 2025 American Meteorological Society. This published article is licensed under the terms of the default AMS reuse license. For information regarding reuse of this content and general copyright information, consult the AMS Copyright Policy (www.ametsoc.org/PUBSReuseLicenses).

Corresponding author: Xiaoyu Long, xiaoyu.long@noaa.gov
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