Geometry of Potential Models

Kincses, Áron and Tóth, Géza (2012) Geometry of Potential Models. Regional Statistics : journal of the Hungarian Central Statistical Office, 2. pp. 74-89. ISSN 2063-9538

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Abstract

With the help of the description of geometry of potential methods and the gravity models, we tried to briefly explain these models’ application and applicability. Our aim was to show what may be concluded from different potential models. To answer this question, traffic data were compared to the values predicted by the models. We found that the values of the regression showed a moderately strong correlation. We could determine that the conclusions drawn from the potential models should be treated with reservations. According to the analysis of the potential models it is not possible to determine in case of a potential value whether it results from positive/negative (municipal, spatial) structure or position, or the location of masses, area size or the impact of its own mass. Thus, the mathematical method described in this study tried to separate the potentials. We found that accessibility potential was dependent on spatial subdivision to the highest degree, but important factors were the effect of mass distribution as well as of own mass

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