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Algorithms for model parameter estimation and state estimation using the Kalman Filter for forecasting, filtering, and fixed-lag smoothing applied to a state-space model for one-dimensional vertical infiltration

Dates

Publication Date
Start Date
1999-02-01
End Date
1999-12-31

Citation

Shapiro, A.M., 2023, Algorithms for model parameter estimation and state estimation using the Kalman Filter for forecasting, filtering, and fixed-lag smoothing applied to a state-space model for one-dimensional vertical infiltration: U.S. Geological Survey data release, https://doi.org/10.5066/P941R03Q.

Summary

The algorithms in this data release implement a State-Space Model (SSM) of vertical infiltration through the unsaturated zone and recharge to the water table. These algorithms build on previous investigations available at https://doi.org/10.1029/2020WR029110 and https://doi.org/10.1111/gwat.13206. The SSM is defined by observed states (i.e., the water-table altitude) and unobserved states (i.e., fluxes through the unsaturated zone and recharge to the water table)and interprets time-series data for observations of water-table altitude and meteorological inputs (i.e., the liquid precipitation rate and the Potential Evapotranspiration (PET) rate). The algorithms first perform the estimation of the SSM parameters from the time-series data [...]

Contacts

Point of Contact :
Allen M Shapiro
Originator :
Allen M Shapiro
Metadata Contact :
Allen M Shapiro
Publisher :
U.S. Geological Survey
Distributor :
U.S. Geological Survey - ScienceBase
SDC Data Owner :
Earth System Processes Division
USGS Mission Area :
Water Resources

Attached Files

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shapiro2023_gw.zip 1.59 MB application/zip

Purpose

The algorithms presented in this data release have been used to demonstrate different approaches to data assimilation using recent observations to estimate groundwater recharge. The algorithms demonstrate comparisons of data assimilation for forecasting, filtering, and fixed-lag smoothing (FLS). These comparisons demonstrate the value in introducing recent observations in the estimation of groundwater recharge. The development of the model input and output files included in this data release are documented in the journal article (https://doi.org/10.1111/gwat.13349).

Additional Information

Identifiers

Type Scheme Key
DOI https://www.sciencebase.gov/vocab/category/item/identifier doi:10.5066/P941R03Q

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