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Histogram via entropy reduction (HER): an information-theoretic alternative for geostatistics

Thiesen, Stephanie; Vieira, Diego M.; Mälicke, Mirko; Loritz, Ralf; Wellmann, J. Florian; Ehret, Uwe

Abstract:
Interpolation of spatial data has been regarded in many different forms, varying from deterministic to stochastic, parametric to nonparametric, and purely data-driven to geostatistical methods. In this study, we propose a nonparametric interpolator, which combines information theory with probability aggregation methods in a geostatistical framework for the stochastic estimation of unsampled points. Histogram via entropy reduction (HER) predicts conditional distributions based on empirical probabilities, relaxing parameterizations and, therefore, avoiding the risk of adding information not present in data. By construction, it provides a proper framework for uncertainty estimation since it accounts for both spatial configuration and data values, while allowing one to introduce or infer properties of the field through the aggregation method. We investigate the framework using synthetically generated data sets and demonstrate its efficacy in ascertaining the underlying field with varying sample densities and data properties. HER shows a comparable performance to popular benchmark models, with the additional advantage of higher generality. ... mehr

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Verlagsausgabe §
DOI: 10.5445/IR/1000125753
Veröffentlicht am 05.11.2020
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Wasser und Gewässerentwicklung (IWG)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2020
Sprache Englisch
Identifikator ISSN: 1607-7938
KITopen-ID: 1000125753
Erschienen in Hydrology and earth system sciences
Band 24
Heft 9
Seiten 4523–4540
Vorab online veröffentlicht am 17.09.2020
Nachgewiesen in Scopus
Web of Science
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