The Utility of a Two-dimensional Forward Model for Bending Angle Observations in Regions with Strong Horizontal Gradients

Michael J. Murphy Jr. a Institute of Geophysics and Planetary Physics, Scripps Institution of Oceanography, University of California San Diego, La Jolla, California

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Jennifer S. Haase a Institute of Geophysics and Planetary Physics, Scripps Institution of Oceanography, University of California San Diego, La Jolla, California

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Pawel Hordyniec b Institute of Geodesy and Geoinformatics, Wroclaw University of Environmental and Life Sciences, Wroclaw, Poland

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Xingren Wu c Axiom at Environmental Modeling Center, National Center for Environmental Prediction, National Weather Service, National Oceanic and Atmospheric Administration, College Park, Maryland

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Colin Grudzien d Center for Western Weather and Water Extremes, Scripps Institution of Oceanography, University of California San Diego, La Jolla, California

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Luca Delle Monache d Center for Western Weather and Water Extremes, Scripps Institution of Oceanography, University of California San Diego, La Jolla, California

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Abstract

Assimilation of GNSS Radio Occultation (RO) observations into numerical weather prediction models in environments with strong horizontal gradients of refractivity introduces potential errors if one calculates the synthetic observations with a forward model (operator) that is only one-dimensional. Innovations (observation minus background) from numerical experiments calculated using the RO Processing Package two-dimensional (ROPP2D) operator and background forecasts from the Global Forecast System (GFS) during Atmospheric River (AR) Reconnaissance 2022 are compared to those using the operationally employed ROPP1D and NCEP Bending Angle Model (NBAM) operators. Throughout all regions examined the lowest biases and standard deviations (SD) of the innovations in the lower troposphere where produced by the NBAM operator, though differences in how super-refraction quality controls are performed compared to the ROPP operators complicate this comparison. Only slight reductions in bias and SD were found when using the ROPP2D compared to the ROPP1D operator over these broad regions. However, within intense ARs, where horizontal gradients are often extreme, the ROPP2D produces the smallest biases and SD of all operators, peaking at 2% less in terms of SD compared to the ROPP1D operator in the lower troposphere with very small bias. While the use of a two-dimensional forward model for RO observations only results in slightly better correspondence to the observations over broad regions, this effect is much larger for weather phenomena with strong horizontal gradients and is likely to improve numerical forecasts of extreme precipitation events associated with ARs, an impactful weather phenomenon that is challenging to forecast.

Michael Murphy’s current affiliation: Global Modeling and Assimilation Office, NASA Goddard Space Flight Center, Greenbelt, Maryland and GESTAR-II, University of Maryland Baltimore County, Baltimore, Maryland

© 2025 American Meteorological Society. This is an Author Accepted Manuscript distributed under the terms of the default AMS reuse license. For information regarding reuse and general copyright information, consult the AMS Copyright Policy (www.ametsoc.org/PUBSReuseLicenses).

Corresponding author: M.J. Murphy, mjmurphy@umbc.edu

Abstract

Assimilation of GNSS Radio Occultation (RO) observations into numerical weather prediction models in environments with strong horizontal gradients of refractivity introduces potential errors if one calculates the synthetic observations with a forward model (operator) that is only one-dimensional. Innovations (observation minus background) from numerical experiments calculated using the RO Processing Package two-dimensional (ROPP2D) operator and background forecasts from the Global Forecast System (GFS) during Atmospheric River (AR) Reconnaissance 2022 are compared to those using the operationally employed ROPP1D and NCEP Bending Angle Model (NBAM) operators. Throughout all regions examined the lowest biases and standard deviations (SD) of the innovations in the lower troposphere where produced by the NBAM operator, though differences in how super-refraction quality controls are performed compared to the ROPP operators complicate this comparison. Only slight reductions in bias and SD were found when using the ROPP2D compared to the ROPP1D operator over these broad regions. However, within intense ARs, where horizontal gradients are often extreme, the ROPP2D produces the smallest biases and SD of all operators, peaking at 2% less in terms of SD compared to the ROPP1D operator in the lower troposphere with very small bias. While the use of a two-dimensional forward model for RO observations only results in slightly better correspondence to the observations over broad regions, this effect is much larger for weather phenomena with strong horizontal gradients and is likely to improve numerical forecasts of extreme precipitation events associated with ARs, an impactful weather phenomenon that is challenging to forecast.

Michael Murphy’s current affiliation: Global Modeling and Assimilation Office, NASA Goddard Space Flight Center, Greenbelt, Maryland and GESTAR-II, University of Maryland Baltimore County, Baltimore, Maryland

© 2025 American Meteorological Society. This is an Author Accepted Manuscript distributed under the terms of the default AMS reuse license. For information regarding reuse and general copyright information, consult the AMS Copyright Policy (www.ametsoc.org/PUBSReuseLicenses).

Corresponding author: M.J. Murphy, mjmurphy@umbc.edu
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