Estimating Pore Water Electrical Conductivity of Sandy Soil from Time Domain Reflectometry Records Using a Time-Varying Dynamic Linear Model

dc.contributor.authorAljoumani, Basem
dc.contributor.authorSanchez-Espigares, Jose A.
dc.contributor.authorWessolek, Gerd
dc.date.accessioned2019-02-18T11:08:58Z
dc.date.available2019-02-18T11:08:58Z
dc.date.issued2018-12-13
dc.description.abstractDespite the importance of computing soil pore water electrical conductivity (σp) from soil bulk electrical conductivity (σb) in ecological and hydrological applications, a good method of doing so remains elusive. The Hilhorst concept offers a theoretical model describing a linear relationship between σb, and relative dielectric permittivity (εb) in moist soil. The reciprocal of pore water electrical conductivity (1/σp) appears as a slope of the Hilhorst model and the ordinary least squares (OLS) of this linear relationship yields a single estimate ( 1/σpˆ ) of the regression parameter vector (σp) for the entire data. This study was carried out on a sandy soil under laboratory conditions. We used a time-varying dynamic linear model (DLM) and the Kalman filter (Kf) to estimate the evolution of σp over time. A time series of the relative dielectric permittivity (εb) and σb of the soil were measured using time domain reflectometry (TDR) at different depths in a soil column to transform the deterministic Hilhorst model into a stochastic model and evaluate the linear relationship between εb and σb in order to capture deterministic changes to (1/σp). Applying the Hilhorst model, strong positive autocorrelations between the residuals could be found. By using and modifying them to DLM, the observed and modeled data of εb obtain a much better match and the estimated evolution of σp converged to its true value. Moreover, the offset of this linear relation varies for each soil depth.en
dc.description.sponsorshipDFG, 325093850, Open Access Publizieren 2017 - 2018 / Technische Universität Berlinde
dc.description.sponsorshipDFG, GRK 2032, Grenzzonen in urbanen Wassersystemende
dc.identifier.eissn1424-8220
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/9124
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-8213
dc.language.isoenen
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en
dc.subject.ddc620 Ingenieurwissenschaften und zugeordnete Tätigkeitende
dc.subject.otherelectrical conductivityen
dc.subject.otherrelative dielectric permittivityen
dc.subject.othertime domain reflectometryen
dc.subject.otherkalman filteren
dc.subject.otherdynamic linear modelen
dc.titleEstimating Pore Water Electrical Conductivity of Sandy Soil from Time Domain Reflectometry Records Using a Time-Varying Dynamic Linear Modelen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.articlenumber4403en
dcterms.bibliographicCitation.doi10.3390/s18124403en
dcterms.bibliographicCitation.issue12en
dcterms.bibliographicCitation.journaltitleSensorsen
dcterms.bibliographicCitation.originalpublishernameMDPIen
dcterms.bibliographicCitation.originalpublisherplaceBaselen
dcterms.bibliographicCitation.volume18en
tub.accessrights.dnbfreeen
tub.affiliationVerbundforschung::Graduiertenkollegs (GRK)::GRK 2032 - UWIde
tub.affiliationFak. 6 Planen Bauen Umwelt::Inst. Ökologie::FG Ökohydrologie & Landschaftsbewertungde
tub.affiliation.facultyVerbundforschungde
tub.affiliation.facultyFak. 6 Planen Bauen Umweltde
tub.affiliation.groupGRK 2032 - UWIde
tub.affiliation.groupFG Ökohydrologie & Landschaftsbewertungde
tub.affiliation.instituteGraduiertenkollegs (GRK)de
tub.affiliation.instituteInst. Ökologiede
tub.publisher.universityorinstitutionTechnische Universität Berlinen

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