The occurrence of rural retail activity may be related to the concept
of threshold, which suggests the direct relationship between surroundi
ng populations and the hierarchical functions provided. Empirical stud
ies have typically examined individual categories of retail firm conce
ntration or multiplication in isolation of the extent of other retail
activities. This study develops models of retail business concentratio
n for sparsely populated rural markets, and emphasizes proper statisti
cal treatment of the discrete firm-count data The analytical approach
specifies systems of multivariate count data models that can capture t
he interdependencies among different types of retail firms. The degree
of interdependence is tested and shown to be a significant statistica
l feature of the model of rural retail firm counts.