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Activity Number: 251 - Spatial and Spatiotemporal Modeling in Climate and Meteorology
Type: Contributed
Date/Time: Monday, July 30, 2018 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics and the Environment
Abstract #329021 Presentation
Title: Interval-Valued Kriging and Application in Climate Related Predictions
Author(s): Brennan Bean* and Yan Sun
Companies: Utah State University and Utah State University
Keywords: spatial; climate; kriging

Many climate-related measurements are best characterized as intervals rather than single values. Such interval-valued measurements are a result of limitations in sensor technology or other uncertainties in the climate measurement process. While much work has been devoted to the development of interval-valued regression, little has been done to extend the use of interval-valued inputs to traditional spatial methods. This paper proposes and develops interval-valued kriging models based on the theory of random sets and a generalized L2 distance. Numerical implementation of our interval-valued kriging is provided using a penalty-based constrained optimization algorithm. The methodology is then applied to a dataset containing interval-valued snow water equivalent (SWE) measurements in Utah and the results are compared to predictions made using traditional (point-valued) kriging. This application demonstrates the advantages of our interval-valued kriging in climate research, and motivates further developments of interval-valued kriging and other spatial methods

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