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The simulation of the trajectory of the development of the educational component of district sociogeosystems in a multidimensional normalized space on the example of the subsystem of preschool education (in six indicators) was conducted on average for 2008-2017. According to the results of simulation of the development trajectory of the subsystem of pre-school education of district sociogeosystems based on the analysis of the coherence of their development trajectories with the optimal trajectory and the coherence of the development trajectory between the district sociogeosystems, it was established that the trajectories of the movement of the Apostolovsky, Solonyansky and Verkhnodniprovsky districts were closest to the point of maximal development. The most distant from it were the trajectories of development of Vasylkivsky, Pavlogradsky, Petrykivskyi districts. The average indicators of the rejection of the path through the sociogeosystems of the districts of the Dnipropetrovsk region have been calculated, and it has been established that only nine districts of the region (Vasylkivsky, Dnipropetrovsk, Krynichansky, Nikopolsky, Novomoskovsk, Pavlohradsky, Pokrovsky, Synelnikovsky, Tomakivsky) have positive meanings, the other thirteen districts are negative, indicating the inconsistency in the educational component of district sociogeosystems of the Dnipropetrovsk region. The highest index of distance from the origin of the specified time interval has the Apostolovsky district. High rates are characteristic for Pokrovsky, Krivoy Rog, Solonyansky districts. Low rates have Vasylkivsky, Petrykivsky, Pavlogradsky areas that lag behind in the development of the educational system of preschool education from other administrative units of the region. It was clarified that the districts of the Dnipropetrovsk region have been unevenly developed. Most progressed in the Vasylkivsky district, a little behind him trajectories of growth of Petrikivsky, Tomakivsky and Yurievsky districts. The grouping of administrative regions of the Dnipropetrovsk region on the basis of cluster analysis allowed allocating five groups (clusters) of subsystems of pre-school education according to the similarity of their territorial organization.

vìsnik dnìpropetrovsʹkogo unìversitetu. serìâ geologìâ, geografìâ/vìsnik dnìpropetrovsʹkogo unìversitetu. geologìâ, geografìâ

Typization of administrative districts of Dnipropetrovsk region on the level of development of pre-school education (by methods of modeling of the trajectory of motion of sociogeosystems and cluster analysis)