IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v82y2011i1p2-14.html
   My bibliography  Save this article

A computer implementation of the partition of the unity procedure and its application to arthropod population dynamics. A case study on the European grape berry moth

Author

Listed:
  • Sáenz-de-Cabezón, Eduardo
  • Hernández, L. Javier
  • Rivas, M. Teresa
  • García-Ruiz, Esteban
  • Marco, Vicente
  • Pérez-Moreno, Ignacio
  • Sáenz-de-Cabezón, F. Javier

Abstract

This paper presents a new procedure to construct families of spatial approximation-prediction functions which depend on several parameters. The method is based on partitions of the unity. In order to find optimal functions in these families we introduce a Vietoris simplicial set associated to an influence radius. We consider error estimators induced by these Vietoris simplicial sets. A computational implementation of these mathematical models has been developed to be applied to any kind of finite discrete data. Our methods provide a useful tool for the analysis of the spatial distribution of species, which is imperative for developing accurate and efficient management of endangered and invasive species, biological conservation programs, etc. We demonstrate the application of our method to the analysis of the spatial distribution of the grape moth Lobesia botrana (Lepidoptera: Tortricidae) in the vineyards of La Rioja obtaining useful results for the management of this pest.

Suggested Citation

  • Sáenz-de-Cabezón, Eduardo & Hernández, L. Javier & Rivas, M. Teresa & García-Ruiz, Esteban & Marco, Vicente & Pérez-Moreno, Ignacio & Sáenz-de-Cabezón, F. Javier, 2011. "A computer implementation of the partition of the unity procedure and its application to arthropod population dynamics. A case study on the European grape berry moth," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(1), pages 2-14.
  • Handle: RePEc:eee:matcom:v:82:y:2011:i:1:p:2-14
    DOI: 10.1016/j.matcom.2010.06.019
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037847541000220X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.matcom.2010.06.019?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.

    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:eee:matcom:v:82:y:2011:i:1:p:2-14. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.