Zastosowanie modelu grawitacji do wyznaczenia powiązań przestrzennych Łodzi z zapleczem

Abstract

Spatial links between Łódź and its raw material sources were analyzed on the example of raw material supplies to meat processing plants. For her analysis the author employed the gravitation model

solving it in two ways. The first one consisted in reducing the gravitation formula to the regression model, and the other one in accepting a priori the index of the power and estimating coefficient G by applying the potential model. Estimations were thus made for two territorial systems of the former administrative province of Łódź and the theoretical zone of Łódź influence estimated on the basis of Converse’s formula and premises provided by an empirical analysis. Deviations between theoretical and real ties allowed to determine areas' of surpluses, equilibrium, and shortages in supplies. Comparative analysis of both employed ways of solving the accepted function revealed that the second way of model solution yields better results from the point of view of optimization of the food-provision zone of Łódź. The functions of such zone in the light of the performed analysis are carried out best by. the second spatial system, according to the second way of the model solution.