Three versions of the Reilly´s model have been applied to delineate spheres of influence of selected settlements. Fig. 1 shows the modelled hinterlands of the Czech settlements with more than 25.000 inhabitants according to the geometric version of the Reilly´s model. Character of hierarchy of the Czech settlement system is clearly demonstrated in fig. 1.

Fig. 2 shows the results of topographic version of the Reilly´s model. Smaller administrative units (“areas with extended authority”) have been used as basic spatial units and these have been assigned to 12 regional centres identified earlier by Hampl (2005). In both cases the β parameter of the model has been set to 2, which preserves the Newtonian analogy.

Fig. 3 shows the performance of the β parameter of the model in the same context but unlike fig. 2 the parameter has been set to 5 and all existing (13) regional capitals have been taken into account.

Fig. 4 shows the results of the oscillatory version of the Reilly´s model. Smaller administrative units (“areas with extended authority”) adhering to the borders of the modelled tributary areas of three Czech largest cities (Prague, Brno and Ostrava) have been assessed in terms of their tendency to oscillate between the spheres of influences. The parameters of oscillation have been incorporated into the model.

Fig. 1 source: Halás, M., Klapka, P. (2010): Regionalizace Česka z hlediska modelování prostorových interakcí [Regional division of Czechia on the basis of spatial interaction modelling]. Geografie 115 (2), 144 – 160.

Fig. 2 source: Halás, M., Klapka, P. (2010): Regionalizace Česka z hlediska modelování prostorových interakcí [Regional division of Czechia on the basis of spatial interaction modelling]. Geografie 115 (2), 144 – 160.
Hampl, M. (2005): Geografická organizace společnosti v České republice: transformační procesy a jejich obecný kontext. Univerzita Karlova, Praha.

Fig. 3 source: Halás, M., Klapka, P. (2010): Regionalizace Česka z hlediska modelování prostorových interakcí [Regional division of Czechia on the basis of spatial interaction modelling]. Geografie 115 (2), 144 – 160.

Fig. 4 source: Řehák, S., Halás, M., Klapka, P. (2009): Několik poznámek k možnostem aplikace Reillyho modelu [Several notes on the possibilities of the application of the Reilly´s model]. Geographia Moravica 1. UP v Olomouci, Olomouc, 47 – 58