Soil Moisture ODE Model and Satellite Data for Inverse Problems

Encompassing code and data developed for a manuscript applying the Theory of Functional Connections to reconcile an approximate ordinary differential equation (ODE) for soil moisture evolution with noisy satellite data. The data is extrapolated from the NASA SMAP L4 data product. The author is Salvatore Calabrese.

Use Cases

• Apply the Theory of Functional Connections to an ODE representing soil moisture time evolution using satellite-derived data.
• Reconcile approximate ODE models with noisy measurement data from the NASA SMAP L4 product for soil moisture scaling.
• Solve inverse problems in Earth and Environmental Sciences by integrating mathematical models with empirical satellite data.

Strengths

• Data is derived from the authoritative NASA SMAP L4 satellite data product.
• Associated with a specific manuscript detailing the application of the Theory of Functional Connections.
• Includes both code and data for reproducibility of the described methodology.

Limitations

• The specific dataset size, row count, column structure, and file formats are unknown.
• The data is tied to a specific methodological application, limiting generalizability for other purposes.
• Potential for noise inherent in the source satellite measurements (SMAP L4 data).

Provenance

Source

NASA SMAP L4 data product.

Collection Method

Data extrapolated from satellite measurements; code and data developed for a specific manuscript.

Freshness

Last updated on 2026-02-09.