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March 10, 2026Vadose Zone Journal0 citationsOpen Access

Pseudo‐diffusivity characteristic curves for surface–rootzone soil hydrologic connectivity

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FAFrank Anyoka AdekilaeVSVinit Sehgal

Key Points

  • The study aims to improve understanding of rootzone soil moisture dynamics and hydrologic thresholds for water management.
  • Introduced a state-based low-pass filter with a pseudo-diffusivity function.
  • Proposed a sigmoidal relationship to capture soil and climate influences on hydrologic connectivity.
  • Analyzed data from 200 US Climate Reference Network and Soil Climate Analysis Network sites.
  • Increased clay fraction correlates with higher saturation and residual moisture content.
  • Climate conditions notably affect the pseudo-diffusivity coefficient, with humid climates exhibiting higher values.
  • The model aids in estimating rootzone plant water stress using surface soil moisture.

Abstract

Abstract Accurate quantification of the rootzone soil moisture ( θ ) dynamics and hydrologic thresholds is important to advance sustainable agricultural water management and drought monitoring. Various low‐pass filters are popularly used to generate a first‐order approximation of θ , referred to here as , from temporally smoothed and lagged values of surface (5 cm) soil moisture ( θ 5 ). However, this method does not identify the critical thresholds and governing controls of θ needed to physically interpret values. We introduce a state‐based low‐pass filter, governed by a pseudo‐diffusivity () characteristics function, to represent surface–rootzone hydrologic connectivity and capture the nonlinear redistribution of soil moisture as a function of the prevailing hydrologic state of the rootzone. We propose a non‐linear (sigmoidal) − relationship as an emergent signature of soil and climate controls on surface‐rootzone soil hydrological connectivity, represented with three parameters − saturation (proxy) moisture content ( s ), residual (proxy) moisture content ( r ), and a critical pseudo‐diffusivity coefficient ( c ). We observe that s and r increase with clay fraction, while c is predominantly influenced by climate, with humid conditions showing higher values of c . We further demonstrate the estimation of rootzone plant water stress using θ 5 by leveraging s and r as critical soil hydrologic thresholds. The proposed approach is tested on in situ observations from 200 US Climate Reference Network and the Soil Climate Analysis Network sites. The physical basis and flexibility of this framework establish it as a scalable, data‐driven approach for improving predictions of the space‐time contiguous dynamics of θ , with applications in irrigation scheduling and agricultural drought monitoring.

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Cite This Study

Adekilae et al. (2026) studied this question.

synapsesocial.com/papers/69af953870916d39fea4c96chttps://doi.org/10.1002/vzj2.70084
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