JSM 2012 Home

JSM 2012 Online Program

The views expressed here are those of the individual authors and not necessarily those of the JSM sponsors, their officers, or their staff.

Online Program Home

Abstract Details

Activity Number: 251
Type: Contributed
Date/Time: Monday, July 30, 2012 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics and the Environment
Abstract - #305644
Title: Random Fields and Statistical Models for Circuits
Author(s): Ephraim Hanks*+ and Mevin Hooten
Companies: California State University and Colorado State University
Address: 3425 Windmill Drive, Fort Collins, CO, 80526-5988, United States
Keywords: Markov random fields ; Landscape genetics ; Circuit theory ; Conditional autoregressive models

Circuit theory has seen extensive recent use in the field of ecology, where it is often applied to study nonstationary functional connectivity. In these cases, the landscape is typically represented by a network of nodes and resistors, with the resistance between nodes a function of landscape characteristics. The effective distance between two locations on a landscape is represented by the resistance distance, as defined by circuit theory, between the nodes in the network. Circuit theory has been applied to many other scientific fields for exploratory analyses, but parametric models for circuits are not common in the scientific literature. To model circuits explicitly, we demonstrate a link between Gaussian Markov random fields and contemporary circuit theory using a covariance structure that induces the necessary resistance distance. This provides a parametric model for observations from system represented by circuits. In the landscape ecology setting, this model provides a simple framework where inference can be obtained for effects that landscape features have on functional connectivity.

The address information is for the authors that have a + after their name.
Authors who are presenting talks have a * after their name.

Back to the full JSM 2012 program

2012 JSM Online Program Home

For information, contact jsm@amstat.org or phone (888) 231-3473.

If you have questions about the Continuing Education program, please contact the Education Department.