Standard Article

Random Fields

Stochastic Modeling and Environmental Change

  1. Katherine Bennett Ensor

Published Online: 15 JAN 2013

DOI: 10.1002/9780470057339.var007.pub2

Encyclopedia of Environmetrics

Encyclopedia of Environmetrics

How to Cite

Ensor, K. B. 2013. Random Fields . Encyclopedia of Environmetrics. 5.

Author Information

  1. Rice University, Houston, TX, USA

Publication History

  1. Published Online: 15 JAN 2013


Random fields provide a framework to address both spatial and spatial-temporal random structure and have served as a key modeling tool since the 1950s. Adler's text in 1981 on the geometry of random fields served as a foundational piece [1] and currently has well over 1500 citations at the time of this article. This article is adapted from Adler's original submission [2] with updated references.


  • spatial;
  • spatial-temporal;
  • markov random field;
  • guassian random field;
  • sparcity;
  • Markov;
  • non-Markov;
  • Gaussain;
  • spatial-temporal modeling