Spatial Analysis Using Big Data

Chapter Four

Geostatistics and Gaussian process models

Daisuke Murakami ¹ , Yoshiki Yamagata ² , and Toshihiro Hirano ^{3       1} The Institute of Statistical Mathematics, Tachikawa, Tokyo, Japan      ² Center for Global Environmental Research, National Institute for Environmental Studies, Tsukuba, Ibaraki, Japan      ³ Kanto Gakuin University, Yokohama, Kanagawa, Japan

Abstract

In this chapter, Section 4.1 briefly introduces the history of geostatistics. Section 4.2 explains stationary spatial processes and the basic geostatistical model to describe the process; Section 4.3 explains how to estimate the model parameters. After introducing Kriging, which is the spatial interpolation approach, in Section 4.4, Section 4.5 introduces its ...