IDEAS home Printed from https://ideas.repec.org/a/taf/jnlasa/v108y2013i501p22-33.html
   My bibliography  Save this article

Circuit Theory and Model-Based Inference for Landscape Connectivity

Author

Listed:
  • Ephraim M. Hanks
  • Mevin B. Hooten

Abstract

Circuit theory has seen extensive recent use in the field of ecology, where it is often applied to study functional connectivity. 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 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 second-order observations from such a system. In the landscape ecology setting, the proposed model provides a simple framework where inference can be obtained for effects that landscape features have on functional connectivity. We illustrate the approach through a landscape genetics study linking gene flow in alpine chamois ( Rupicapra rupicapra ) to the underlying landscape.

Suggested Citation

  • Ephraim M. Hanks & Mevin B. Hooten, 2013. "Circuit Theory and Model-Based Inference for Landscape Connectivity," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 108(501), pages 22-33, March.
  • Handle: RePEc:taf:jnlasa:v:108:y:2013:i:501:p:22-33
    DOI: 10.1080/01621459.2012.724647
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/01621459.2012.724647
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1080/01621459.2012.724647?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yanping Yang & Jianjun Chen & Renjie Huang & Zihao Feng & Guoqing Zhou & Haotian You & Xiaowen Han, 2022. "Construction of Ecological Security Pattern Based on the Importance of Ecological Protection—A Case Study of Guangxi, a Karst Region in China," IJERPH, MDPI, vol. 19(9), pages 1-22, May.
    2. Xueping Su & Yong Zhou & Qing Li, 2021. "Designing Ecological Security Patterns Based on the Framework of Ecological Quality and Ecological Sensitivity: A Case Study of Jianghan Plain, China," IJERPH, MDPI, vol. 18(16), pages 1-32, August.
    3. Sahar Zarmehri & Ephraim M. Hanks & Lin Lin, 2021. "A Sample Covariance-Based Approach For Spatial Binary Data," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 26(2), pages 220-249, June.
    4. Barry, Ronald P. & McIntyre, Julie & Bernard, Jordan, 2024. "A geostatistical model based on random walks to krige regions with irregular boundaries and holes," Ecological Modelling, Elsevier, vol. 491(C).
    5. Ephraim M. Hanks & Devin S. Johnson & Mevin B. Hooten, 2017. "Reflected Stochastic Differential Equation Models for Constrained Animal Movement," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 22(3), pages 353-372, September.
    6. Jianying Xu & Feifei Fan & Yanxu Liu & Jianquan Dong & Jixing Chen, 2019. "Construction of Ecological Security Patterns in Nature Reserves Based on Ecosystem Services and Circuit Theory: A Case Study in Wenchuan, China," IJERPH, MDPI, vol. 16(17), pages 1-15, September.
    7. Manuel Wolff & Dagmar Haase & Jörg Priess & Tobias Leander Hoffmann, 2023. "The Role of Brownfields and Their Revitalisation for the Functional Connectivity of the Urban Tree System in a Regrowing City," Land, MDPI, vol. 12(2), pages 1-22, January.
    8. Qianlei Huang & Yuan Ma, 2024. "Ecological Network Construction in High-Density Water Network Areas Based on a Three-Dimensional Perspective: The Case of Foshan City," Sustainability, MDPI, vol. 16(17), pages 1-23, September.
    9. Ephraim M. Hanks, 2017. "Modeling Spatial Covariance Using the Limiting Distribution of Spatio-Temporal Random Walks," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(518), pages 497-507, April.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:taf:jnlasa:v:108:y:2013:i:501:p:22-33. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/UASA20 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.