A test of spatial autocorrelation analysis using an isolation-by-distance model
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Using the isolation-by-distance model as an example, several assumptions of spatial autocorrelation analysis applied to gene frequency surfaces are examined and conclusions about the presence of selection, migration and drift in given natural systems are drawn.Abstract:
Using the isolation-by-distance model as an example, we have examined several assumptions of spatial autocorrelation analysis applied to gene frequency surfaces. Gene frequency surfaces generated by a simulation of Wright's isolation-by-distance model were shown to exhibit spatial autocorrelation, except in the panmictic case. Identical stochastic generating processes result in surfaces with characteristics that are functions of the process parameters, such as parental vagility and neighborhood size. Differences in these parameters are detectable as differences in spatial autocorrelations after only a few generations of the simulations. Separate realizations of processes with identical parameters yield similar spatial correlograms. We have examined the inferences about population structure that could have been made from these observations if they had been real, rather than simulated, populations. From such inferences, we could have drawn conclusions about the presence of selection, migration and drift in given natural systems.read more
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References
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Journal ArticleDOI
Spatial autocorrelation in biology: 1. Methodology
Robert R. Sokal,Neal L. Oden +1 more
TL;DR: Autocorrelation analysis is applied to microgeographic variation of allozyme frequencies in the snail Helix aspersa and the inferences that can be drawn are discussed and illustrated with the aid of some artificially generated patterns.
Journal ArticleDOI
Spatial autocorrelation in biology: 2. Some biological implications and four applications of evolutionary and ecological interest
Robert R. Sokal,Neal L. Oden +1 more
TL;DR: Examination and analysis of variation patterns of several characters or gene frequencies for one population, or of several populations in different places or at different times, permit some conclusions about the nature of the populational processes generating the observed patterns.
Journal ArticleDOI
Assessing the Significance of a Spatial Correlogram
TL;DR: In this paper, the authors compare the power of the Q-test to other methods under several alternative hypotheses and find that the decision rule involving inspection of only the lag-1 autocorrelation coefficient is insensitive to certain forms of spatial dependence, for example, dependence involving interactions that are strongest at high order lags.
Journal ArticleDOI
Spatial Autocorrelations of HLA Frequencies in Europe Support Demic Diffusion of Early Farmers
Robert R. Sokal,Paolo Menozzi +1 more
TL;DR: Collective study of the 21 variable surfaces and of their correlograms supports a hypothesis of migration leading to the observed patterns with three alternative explanatory hypotheses being eliminated.
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