Validity of covariance models for the analysis of geographical variation. Issue 4 (April 2014)

• Record Type: Journal Article
• Authors: Guillot, Gilles; Schilling, René L.; Porcu, Emilio; Bevilacqua, Moreno; Dray, Stephane
• Is Part Of: Methods in ecology and evolution. Volume 5:Issue 4(2014:Apr.)
• Page Start: 329
• Page End: 335
• Publication Date: 2014-04
• Subjects: Ecology -- Periodicals; Evolution -- Periodicals; 577
• DOI: 10.1111/2041-210X.12167
• Languages: English
• ISSNs: 2041-210X

Abstract

<abstract abstract-type="main" id="mee312167-abs-0001"> <title>Summary</title> <p> <list id="mee312167-list-0001" list-type="order"> <list-item> <p>Due to the availability of large molecular data sets, covariance models are increasingly used to describe the structure of genetic variation as an alternative to more heavily parameterized biological models.</p> </list-item> <list-item> <p>We focus here on a class of parametric covariance models that received sustained attention lately and show that the conditions under which they are valid mathematical models have been overlooked so far.</p> </list-item> <list-item> <p>We provide rigorous results for the construction of valid covariance models in this family.</p> </list-item> <list-item> <p>We also outline how to construct alternative covariance models for the analysis of geographical variation that are both mathematically well behaved and easily implementable.</p> </list-item> <list-item> <p>The full R code to reproduce the numerical analysis is available from: <ext-link ext-link-type="uri" xlink:href="http://www2.imm.dtu.dk/~gigu/MEE_GSPB/covariance_validity.html" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink">http://www2.imm.dtu.dk/~gigu/MEE_GSPB/covariance_validity.html</ext-link></p> </list-item> </list> </p> </abstract>