Quantifying model output uncertainty from sparse input data: a case study in the Mississippi sound and mobile bay

Abstract A major limitation in hydrodynamic-water quality modeling is the sparse availability of observed data for model inputs. In this study, a hydrodynamic-water quality model, EFDC+, was used to develop a water quality model for the shallow estuaries, Mississippi Sound and Mobile Bay. This study...

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Main Authors: Meena Raju, Anna Linhoss, Raúl J. Osorio
Format: Article
Language:English
Published: Springer 2025-08-01
Series:Discover Applied Sciences
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Online Access:https://doi.org/10.1007/s42452-025-07538-5
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author Meena Raju
Anna Linhoss
Raúl J. Osorio
author_facet Meena Raju
Anna Linhoss
Raúl J. Osorio
author_sort Meena Raju
collection DOAJ
description Abstract A major limitation in hydrodynamic-water quality modeling is the sparse availability of observed data for model inputs. In this study, a hydrodynamic-water quality model, EFDC+, was used to develop a water quality model for the shallow estuaries, Mississippi Sound and Mobile Bay. This study investigated four interpolation methods to augment sparse input data: (1) last observation carried forward (LOCF), (2) linear interpolation (LI), (3) natural cubic spline interpolation (Spline), and (4) linear weighted moving average (WMA). These methods were used to construct daily water quality time series from sparse monthly data at five different boundary conditions. Statistical measures of performance were used to: (1) compare interpolated inputs across methods, (2) assess model outputs based on each interpolation method, and (3) compare modeled outputs with observed data. The study results indicate that the (1) LOCF and Spline interpolated inputs did not perform well with increased data gaps and outliers, and (2) the LI and WMA methods produced the most similar interpolated inputs and model outputs. Among the methods, LI was the most preferred due to its low RMSE and better agreement with observed data. Spline showed the least agreement, with the highest RMSE. Future work will use the study results for calibrating a hydrodynamic-water quality model for simulating water quality scenarios in the study area.
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spelling doaj-art-58f47bdad8e148ffbb0cc7b80b12486b2025-08-20T03:05:55ZengSpringerDiscover Applied Sciences3004-92612025-08-017812110.1007/s42452-025-07538-5Quantifying model output uncertainty from sparse input data: a case study in the Mississippi sound and mobile bayMeena Raju0Anna Linhoss1Raúl J. Osorio2School for Environment and Sustainability, Cooperative Institute for Great Lakes Research, University of MichiganDepartment of Biosystems Engineering, Auburn UniversityDepartment of Water ResourcesAbstract A major limitation in hydrodynamic-water quality modeling is the sparse availability of observed data for model inputs. In this study, a hydrodynamic-water quality model, EFDC+, was used to develop a water quality model for the shallow estuaries, Mississippi Sound and Mobile Bay. This study investigated four interpolation methods to augment sparse input data: (1) last observation carried forward (LOCF), (2) linear interpolation (LI), (3) natural cubic spline interpolation (Spline), and (4) linear weighted moving average (WMA). These methods were used to construct daily water quality time series from sparse monthly data at five different boundary conditions. Statistical measures of performance were used to: (1) compare interpolated inputs across methods, (2) assess model outputs based on each interpolation method, and (3) compare modeled outputs with observed data. The study results indicate that the (1) LOCF and Spline interpolated inputs did not perform well with increased data gaps and outliers, and (2) the LI and WMA methods produced the most similar interpolated inputs and model outputs. Among the methods, LI was the most preferred due to its low RMSE and better agreement with observed data. Spline showed the least agreement, with the highest RMSE. Future work will use the study results for calibrating a hydrodynamic-water quality model for simulating water quality scenarios in the study area.https://doi.org/10.1007/s42452-025-07538-5Sparse dataInterpolationEFDC+Mississippi soundMobile BayHydrodynamics
spellingShingle Meena Raju
Anna Linhoss
Raúl J. Osorio
Quantifying model output uncertainty from sparse input data: a case study in the Mississippi sound and mobile bay
Discover Applied Sciences
Sparse data
Interpolation
EFDC+
Mississippi sound
Mobile Bay
Hydrodynamics
title Quantifying model output uncertainty from sparse input data: a case study in the Mississippi sound and mobile bay
title_full Quantifying model output uncertainty from sparse input data: a case study in the Mississippi sound and mobile bay
title_fullStr Quantifying model output uncertainty from sparse input data: a case study in the Mississippi sound and mobile bay
title_full_unstemmed Quantifying model output uncertainty from sparse input data: a case study in the Mississippi sound and mobile bay
title_short Quantifying model output uncertainty from sparse input data: a case study in the Mississippi sound and mobile bay
title_sort quantifying model output uncertainty from sparse input data a case study in the mississippi sound and mobile bay
topic Sparse data
Interpolation
EFDC+
Mississippi sound
Mobile Bay
Hydrodynamics
url https://doi.org/10.1007/s42452-025-07538-5
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AT rauljosorio quantifyingmodeloutputuncertaintyfromsparseinputdataacasestudyinthemississippisoundandmobilebay