title: On methods of spatial analysis for genotyped individuals.
abstract: Spatial autocorrelation methods have commonly been applied to individual-based spatial genetic studies, although their properties and the relations among the statistics have not been carefully examined. This paper first introduces a reformulation of widely used spatial statistics using point processes. When Moran's I statistics are applied to allele frequencies within an individual, the frequencies are no longer continuous variables but have only three discrete values and specific interpretations of Moran's I statistics and the number of alleles in common (NAC) can be expressed as the weighted sum of join-count statistics. The distributions of minor genotypes are amplified in Moran's I depending on the allele frequency in the population, while NAC uses a constant weighting system. Under the point process framework, spatial analysis can be conducted on the common theoretical base, from individual locations to genetic distributions of different levels, (for example, genotype and allele). The methodology is demonstrated by application to field data for molecular ecological studies of Fagus crenata population dynamics.
authors.affiliation: The Institute of Statistical Mathematics, 4-6-7 Minami-Azabu, Minato, Tokyo 106-8569, Japan. shimatan@ism.ac.jp
authors.forename: K
authors.initials: K
authors.lastname: Shimatani
authors.forename: M
authors.initials: M
authors.lastname: Takahashi
mesh_terms: D005075:Biological Evolution; D001699:Biometry; D003198:Computer Simulation; D029964:Fagus; D005787:Gene Frequency; D005838:Genotype; D007564:Japan; D008957:Models, Genetic; D015233:Models, Statistical; D009010:Monte Carlo Method; D011157:Population Dynamics