Generalised spatial autocorrelation coefficients

The article focuses on properties generalised to the multidimensional case of known coefficients of spatial correlation. The main result of the work is the decomposition of the introduced generalised autocorrelation coefficients into the sum of ordinary autocorrelation coefficients, but calculated on the basis of the principal components of the originally observed multidimensional variable. The development is illustrated with an empirical example. The coefficients provide a more detailed description of the spatial relationships of a set of variables defined in a population.