1 Department of Applied Mathematics and Computer Science, Technical University of Denmark2 Cognitive Systems, Department of Applied Mathematics and Computer Science, Technical University of Denmark3 Dresden University of Technology4 Universidad Tecnica Federico Santa Maria5 Universidad de Valparaiso6 Universidad Tecnica Federico Santa Maria7 Universidad de Valparaiso
1. 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 parametrised biological models. 2. 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. 3. We provide rigorous results for the construction of valid covariance models in this family. 4. We also outline how to construct alternative covariance models for the analysis of geographical variation that are both mathematically well behaved and easily implementable.
Methods in Ecology and Evolution, 2014, Vol 5
Isolation by distance; Isolation by ecology; Landscape genetics; Geostatistics; Positive-definite function