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Validity of covariance models for the analysis of geographical variation

Lookup NU author(s): Professor Emilio Porcu

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Abstract

SummaryDue 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.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.We provide rigorous results for the construction of valid covariance models in this family.We also outline how to construct alternative covariance models for the analysis of geographical variation that are both mathematically well behaved and easily implementable.The full R code to reproduce the numerical analysis is available from: http://www2.imm.dtu.dk/~gigu/MEE_GSPB/covariance_validity.html

Publication metadata

Author(s): Guillot G, Schilling RL, Porcu E, Bevilacqua M

Publication type: Article

Publication status: Published

Journal: Methods in Ecology and Evolution

Year: 2014

Volume: 5

Issue: 4

Pages: 329-335

Print publication date: 01/04/2014

Online publication date: 14/02/2014

Acceptance date: 23/01/2014

ISSN (electronic): 2041-210X

Publisher: Wiley-Blackwell Publishing Ltd.

URL: https://doi.org/10.1111/2041-210X.12167

DOI: 10.1111/2041-210X.12167

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